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Month: July 2014

Conciseness on Actuarial Essay Exams (2010) – Article by G. Stolyarov II

Conciseness on Actuarial Essay Exams (2010) – Article by G. Stolyarov II

The New Renaissance Hat
G. Stolyarov II
July 11, 2014
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This essay, originally written and published on Associated Content/Yahoo! Voices in 2010, has helped many actuarial candidates to prepare for essay exams. I seek to preserve it as a valuable resource for readers, subsequent to the imminent closure of Yahoo! Voices. Therefore, this essay is being published directly on The Rational Argumentator for the first time. 

***
~ G. Stolyarov II, July 11, 2014
***

Upper-level actuarial exams are in essay format, requiring both conceptual discussions and extensive calculations to answer 30-50 questions within a 4-hour timeframe. Even for highly knowledgeable candidates, the sheer time constraints of the exam render it difficult to respond both thoroughly and within the allotted time. Thus, conciseness, without compromising the communication of understanding, becomes a priority.

The following ideas for condensing actuarial exam responses were derived from reviewing past sample answers released by the Casualty Actuarial Society. By understanding which answers received full credit while employing certain shortcuts of presentation, I was able to arrive at ideas that, when used in combination, may save candidates tens of minutes on the exam. This time can be devoted to reviewing one’s answers or to answering more questions than would otherwise be possible. While, as an outsider to the grading process, I can offer no guarantees, I plan to personally use these approaches to the extent they are relevant.

If other actuarial candidates have additional ideas to facilitate concise, effective exam answers, I welcome their input.

1. Common Abbreviations

Many insurance concepts have generally known abbreviations that do not need to be defined unless an explicit definition is requested. On most questions, it would be safe, for instance, to assume that the grader will know what ALAE, ULAE, IBNR, IBNER, PDLD, GAAP, SAP, and terms of similarly common usage stand for.

There are also commonly used general abbreviations, such as “&” for “and”, “b/c” for “because”, “w.r.t” for “with respect to”.

2. Uncommon Abbreviations

It is also possible to define uncommon (even self-invented) abbreviations once, and use them thereafter. For instance, one could refer to “the Bornhuetter-Ferguson method (B-F)” and then subsequently state that “B-F assumes…” or “according to B-F…”.

As long as the grader understands what the abbreviations mean in the context of one’s answer, full credit should be possible.

Here is a non-exhaustive list of abbreviations that may be useful for the 2010 CAS Exam 6 in particular:

B-F: Bornhuetter-Ferguson method
B-S: Berquist-Sherman method
Cat.: Catastrophe
CL: Chain ladder
C-N: Conger-Nolibos generalized approach
Co-part.: Co-participation
Cov.: Coverage
Dev.: Developed or Development (depending on context)
G-B: Gunnar Benktander method
GL: General liability
Inc.: Incurred
Lim.: Limit
M-A: Mango-Allen adjustment
O/S: Outstanding
QS: Quota share
S-B: Stanard-Bühlmann method (“CC” for “Cape Cod method” can also be used).
SS: Surplus share (definitely define that one before using!)
U/W: Underwriting
WC: Workers’ compensation
XOL: Excess-of-loss

3. Shortcuts for Repetitive Calculations

It is possible to save time in cases where one must perform multiple calculations using the same basic formula or approach. Instead of displaying every single calculation, one could simply display (1) the formula used, (2) a sample calculation, and (3) the final results of all the other calculations.

As a non-insurance illustration, suppose you were faced with the following problem:

Find the hypotenuses of the right triangles with the following legs:
(3, 4)
(8, 15)
(9, 40)
(20, 21)

The long way to answer would be to display all four calculations. A shorter way would be the following:
Formula: c = √(b2 + a2)
Sample: √(32 + 42) = 5
Answers: 5, 17, 41, 29

The only possible drawback to this approach is that, if one makes a mistake in a calculation other than the sample calculation, the specific nature of the mistake will not be visible to the grader. It is possible that the grader will simply assume a mechanical error and therefore be lenient in giving partial credit, because the formula and sample calculation demonstrate an understanding of the ideas involved. However, it is impossible to offer any guarantees here.

4. Alternatives to Complete Sentences

While, in academic settings, answering in complete sentences is a requirement for most exams and assignments, the sheer time pressure of an actuarial essay exam renders this approach sub-optimal. A review of past exam answers that have received full credit suggests that graders do not remove points from responses that convey a candidate’s knowledge of the tested content but are written in sentence fragments.

Instead of writing in complete sentences, there are many possible alternative ways of answering, depending on the question. For instance, a question asking the candidate to compare and contrast certain aspects of Method X and Method Y might be answered as follows:

Method X: (List features of method)
Method Y: (List features of method, preferably using language parallel to what was used for Method X.)

Using a bulleted or numbered list to answer some questions may not only save time but may make it easier for the grader to identify the substance of the answer.

Chains of causation or implication may be expressed via an “→” symbol (e.g., “Writing new business → acquisition expense recognized immediately, premiums earned over time → decline in policyholders’ surplus → need for surplus relief.”

It is also acceptable to omit certain articles and to omit stating the premise of the question in the answer’s first sentence, as long as the meaning is clear. Furthermore, some instances of expressions like “that”, “then”, and “in order” may be omitted without compromising the answer’s intent.

As an illustration, I present two ways of answering my Problem S6-9-3(b): “What effect should be removed in order to evaluate development patterns correctly (Statement of Principles, p. 16)?”

Complete-sentence answer (my original): “The effect of discounting should be removed in order to evaluate development patterns correctly. If a reserve is established as a present value of future costs, then upward development may occur simply as a result of paying claims, and this may send a misleading signal.”

Condensed answer: “Effect of discounting should be removed. If reserve is set as present value of future costs, upward development may occur simply as result of paying claims → misleading signal may result.”

Again, I welcome input on these ideas and other ideas for facilitating conciseness on actuarial essay exams.

Running a Marathon on an Elliptical Trainer (2008) – Article by G. Stolyarov II

Running a Marathon on an Elliptical Trainer (2008) – Article by G. Stolyarov II

The New Renaissance Hat
G. Stolyarov II
July 10, 2014
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Note from the Author: This essay, on the subject of my first elliptical-trainer marathon, was originally written and published on Associated Content (subsequently, Yahoo! Voices) in 2008. I seek to preserve this article as a valuable resource for readers, subsequent to the imminent closure of Yahoo! Voices. Therefore, this essay is being published directly on The Rational Argumentator for the first time. 
***
Since 2008, I have run three additional elliptical-trainer marathon or ultramarathon sessions. They are as follows:
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* December 1, 2012 – Marathon (42.2 km.) – 4:30:05
* February 2, 2013 – Ultramarathon (50 km.) – 5:10:50
* September 14, 2013 – Ultramarathon (55 km.) – 5:25:24
s***
~ G. Stolyarov II, July 10, 2014
***
On August 31, 2008, I ran a marathon. That by itself was not particularly extraordinary; many people run marathons these days. My time for completing the 42.2 kilometers (26.2 miles) of running was slightly above average for my age – 4 hours, 24 minutes, and 51 seconds. The unique aspect of my marathon experience was how and where I ran it. This marathon was not an official event, and no one else participated in it. I simply went on an elliptical trainer in a nearby sports complex and ran the entire distance on the machine. It was a highly safe, beneficial, and rewarding experience – which I recommend to anyone who is considering running a marathon.
***

Why an Elliptical Trainer?

There are many advantages to running a marathon on an elliptical trainer instead of using the conventional method.

First, one does not fall prey to the vicissitudes of weather. Scorching heat, sun in one’s eyes, rain, excessive cold, snow, dust, fog, or dirt will not interfere with one’s marathon experience when one runs on an elliptical trainer.

Second, one does not risk one’s life by involving oneself with car traffic. Naturally, one cannot be run over by car while exercising indoors on an elliptical trainer.

Third, if one should by any chance feel unwell or unable to complete the marathon, one can stop immediately and seek help nearby. There is no risk that one might become stranded in the middle of the course without any way to obtain assistance for urgent conditions.

Fourth, one can always ensure that one’s body is well-supplied with water and energy. While running the marathon, I had four bottles of water and energy drinks on hand – all of which I consumed. I also brought a pack of salted almonds to keep my body supplied with salt and protein, as well as two energy bars for all other nutrients. I needed all this food, too, as I ended up burning 2665 calories in the course of the run, which for me is significantly more than a typical day’s food intake. For conventional marathon runners, dehydration and a shortage of salt in the body can often pose major problems, which running on an elliptical trainer can easily avert.

Fifth, an elliptical trainer is superior to a treadmill and to ordinary long-distance running in that one does not experience any jarring or severe impact as one’s feet repeatedly hit the floor. One’s body does not need to endure any collisions when one uses an elliptical trainer, which is supremely kind to its long-term health.

Sixth, an elliptical trainer does not make noise in the manner of a treadmill, and one does not have to contend with the environmental noise to which one is exposed when one runs outdoors. When running on an elliptical trainer, one could choose to have a quiet, peaceful atmosphere or to enjoy listening to music of one’s choice. Throughout my marathon, I listened to my favorite works of classical music on my iPod in order to keep my mind from focusing on the physical challenge of the run.

Seventh, many elliptical trainers have shelves on which one can put reading material. Because elliptical trainers do not involve a lot of jarring or bouncing, one can focus on a page of text without discomfort. During the course of the marathon, I read over 120 pages of Scott Gordon’s Controlling the State: Constitutionalism from Ancient Athens to Today – a highly engaging book on how various societies’ constitutional structures have functioned throughout history to protect individual freedom. I now run six to eight miles on an elliptical trainer every day, during which time I either read printed material or listen to audio books. In this way, I combine exercise, work, and leisure and make the most efficient possible use of my time. By reading, as by listening to music, I am able to distract my mind from thinking about the physical discomfort brought about by the exercise.

Eighth, running long distances on an elliptical trainer is unconventional and gives one something that sets one apart from the crowd. Not many people have the imagination, curiosity, and willpower to try an elliptical trainer marathon – but a brief consideration of its advantages ought to convince many reasonable people that this approach to marathon running is preferable to dealing with all the vicissitudes and unnecessary stresses of the conventional method. By running an elliptical trainer marathon, you can become one of the pioneers of this new, efficient, rational method of intense and supremely healthy exercise. I like to tell people that, by running a marathon on an elliptical trainer, I was able to engage in pure running, isolated from all the environmental inconveniences that often accompany it.

My Motivations and the Marathon Experience Itself

Prior to my elliptical trainer marathon, I had never run a distance nearly that long. My longest prior distance was 16 miles – or about 25.7 kilometers. I had, however, been running regularly for approximately eight years prior to undertaking this endeavor, so any distance under ten miles does not stress me considerably. I am not a competitive runner, nor have I ever been on a track or cross-country team; I am a pure individualist when it comes to exercise, as its sole purpose, in my judgment, is to secure and maintain my health. I know that I will never set records; my only goal in this realm is to live as long as possible and to enable my body to serve me without pain or discomfort. I saw running a marathon as the ultimate test of my health and fitness; being healthy does not require that one run a marathon, but running a marathon does indicate that one is healthy.

The entire marathon went smoothly for me; there was not a single instance when I felt any pain – though a degree of exhaustion was naturally unavoidable. However, I never once felt myself functioning on my last stores of energy, likely because I took care to continually replenish my body’s energy stores and to keep myself well-hydrated. During most of my run, I simply thought about the music I was listening to or the book I was reading; occasionally, I performed mental calculations regarding how much time I had remaining. The elliptical trainer told me the distance I had traversed, and my Polar F6 Heart Rate Monitor informed me of how many calories I had burned, my heart rate at any given time, and the cumulative time of my exercise, so I always had abundant data with which to monitor my progress and on which to base my expectations. At the end of the marathon, I felt that I could have run another ten miles without substantially affecting my condition. I was able to speak coherently, move with my usual dexterity, and analyze the book I had read without any impediments. I therefore suspect that most severe problems experienced by conventional marathon runners come not from the running itself, but from all the environmental stresses of running outdoors for a protracted period of time without having ready supplies of food and water on hand.

If you are in any shape to run, you, too, can run an elliptical trainer marathon. As for any long-distance event, it will be necessary to train for some period of time by running shorter distances and building up your endurance as well as developing a pace that will not exhaust you within the first few miles of running. Just remember to put safety and some baseline of comfort first and to work at your own rate, taking up challenges only when you feel confident that you will be able to overcome them. Exercise is not about being tough or meeting other people’s expectations; it is about health and long life. If you keep this in mind, a lot of innovative possibilities will be open to you.

What You Need to Know for Actuarial Exam P (2007) – Article by G. Stolyarov II

What You Need to Know for Actuarial Exam P (2007) – Article by G. Stolyarov II

The New Renaissance Hat
G. Stolyarov II
July 9, 2014
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This essay, originally written and published on Yahoo! Voices in 2007, has helped many actuarial candidates to study for Exam P and has garnered over 15,000 views to date. I seek to preserve it as a valuable resource for readers, subsequent to the imminent closure of Yahoo! Voices. Therefore, this essay is being published directly on The Rational Argumentator for the first time. While it has been over 7 years since I took and passed Actuarial Exam P, the fundamental advice in this article remains relevant, and I hope that it will assist many actuarial candidates for years to come. 

***
~ G. Stolyarov II, July 9, 2014
***

This is a companion article to “How to Study for Actuarial Exam P Without Paying for Materials“.

If you desire to become an actuary, then passing Exam P on Probability is your opportunity to enter the actuarial science profession and get a starting salary ranging of about $46,000 to about $67,000 per year. But the colossal number of topics listed on the syllabus may seem intimidating to many. Fortunately, you do not need to know all of them to get high grades on the exam. In May 2007, I passed Exam P with a the highest possible grade of 10 and can offer some advice on what you need to know in order to do well.

Of course, you need to know the basics of probability theory, including the addition and multiplication rules, mutually independent and dependent events, conditional probabilities, and Bayes’ Theorem. These topics are quite straightforward and do not require knowledge of calculus or any other kind of advanced mathematics; you need to be able to add, multiply, divide, and think logically about the situation presented in the problem — which will often be described in words. Visual aids, such as Venn Diagrams, contingency tables, and the use of union and intersection notation can be eminently helpful here. Try to master these general probability topics before moving on to the more difficult univariate and multivariate probability distributions.

Next, you will need to know several critically important univariate probability distributions, including some of their special properties. Fortunately, you do not need to know as many as the syllabus suggests.

The Society of Actuaries (SOA) recommends that you learn the “binomial, negative binomial, geometric, hypergeometric, Poisson, uniform, exponential, chi-square, beta, Pareto, lognormal, gamma, Weibull, and normal” distributions, but in fact the ones you will be tested on most extensively are just the binomial, negative binomial, geometric, Poisson, uniform, exponential, and normal. Make sure you know those seven in exhaustive detail, though, because much of the test concerns them. It is a good idea to memorize the formulas for these distributions’ probability density functions, survival functions, means, and variances. Also be able to do computations with the normal distribution using the provided table of areas under the normal curve. Knowledge of calculus, integration, and analysis of discrete finite and infinite sums is necessary to master the univariate probability distributions on Exam P.

Also pay attention to applications of univariate probability distributions to the insurance sector; know how to solve every kind of problem which involves deductibles and claim limits, because a significant portion of the problems on the test will employ these concepts. Study the SOA’s past exam questions and solutions and read the study note on “Risk and Insurance” to get extensive exposure to these applications of probability theory.

The multivariate probability concepts on Exam P are among the most challenging. They require a solid grasp of double integrals and firm knowledge of joint, marginal, and conditional probability distributions – as well as the ability to derive any one of these kinds of distributions from the others. Moreover, many of the problems on the test involve moment-generating functions and their properties – a subject that deserves extensive study and practice in its own right.

Furthermore, make sure that you have a solid grasp of the concepts of expectation, variance, standard deviation, covariance, and correlation. Indeed, try to master the problems involving variances and covariances of multiple random variables; these problems become easy once you make a habit of doing them; solving them quickly and effectively will save a lot of time on the exam and boost your grade. Also make sure that you study the Central Limit Theorem and are able to do problems involving it; this is not a difficult concept once you are conversant with the normal distribution, and mastering Central Limit problems can go a long way to enhance your performance as well.

Studying the topics mentioned here can focus your preparation for Exam P and enable you to practice effectively and confidently. Remember, though, that this is still a lot of material. You would be well advised to begin studying for the test at least three months in advance and to study consistently on a daily basis. Practice often with every kind of problem so as to keep your memory and skills fresh. Best wishes on the exam.

How to Study for Actuarial Exam P Without Paying for Materials (2007) – Article by G. Stolyarov II

How to Study for Actuarial Exam P Without Paying for Materials (2007) – Article by G. Stolyarov II

The New Renaissance Hat
G. Stolyarov II
July 9, 2014
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This essay, originally written and published on Yahoo! Voices in 2007, is my most-viewed article and second-most-viewed work of all time, at over 81,600 views to date. I seek to preserve it as a valuable resource for readers, subsequent to the imminent closure of Yahoo! Voices. Therefore, this essay is being published directly on The Rational Argumentator for the first time. While it has been over 7 years since I took and passed Actuarial Exam P, the fundamental advice in this article remains relevant, and I hope that it will assist many actuarial candidates for years to come. 

***
~ G. Stolyarov II, July 9, 2014
***
Exam P on Probability, offered by the Society of Actuaries (formerly in conjunction with the Casualty Actuarial Society, which referred to it as Exam 1), is the gateway to the actuarial profession. Those who pass the exam can obtain entry-level jobs as actuaries, with salaries ranging from about $46,000 to about $67,000 per year. After some rigorous studying, I passed this examination in May 2007 with a grade of 10 – the highest possible. Here are some study materials that can help you obtain top marks on Exam P without paying a cent.
***

The breadth of material listed on the syllabus for this test is extensive, and many of the topics are tremendously complex in themselves. Fortunately not all of the topics listed are actually tested, and the kinds of questions that are asked on the exam are generally more reasonable and straightforward than the ones present in the recommended readings.

As I found out through personal experience, you do not need to spend money at all in purchasing study materials for this exam. Virtually everything you need can already be found online. The most crucial study aid is the list of sample questions from past exams, generously provided by the Society of Actuaries. Along with these questions, you will also find a list of step-by-step solutions which will enable you to check your work. For successful performance on the test, it is essential to be able to successfully solve these problems on your own and to know why you obtained the solutions you did. The problems on the exam are remarkably similar to the ones in the sample questions, so you should do well on your exam if you can solve the problems from prior tests.

In the course of my own studying, I made the mistake of purchasing Michael A. Bean’s Probability: The Science of Uncertainty: a book which does an extremely poor job at explaining the mathematical concepts required for the actuarial exam, because it already presupposes the reader’s expert knowledge of such concepts. Too often, crucial explanations and proofs are omitted from this book, to be left as “exercises to the reader”– quite a challenge for a reader who simply seeks a basic grasp of the subject!

Furthermore, the exercises in Bean’s book are not conducive to learning the essentials of the probability concepts discussed; these problems are instead so convoluted and laden with unnecessary complications as to baffle even the expert mathematician. Exam P itself is much more reasonable than that; the problems often require some thinking and multiple steps, but you will not be required to pull brilliant, esoteric insights out of thin air, as Bean’s exercises require you to do. To add to the trouble, Bean does not provide answers in the back of the book for most of his problems — thus disabling you from checking your work.

The best textbook by far for actuarial students preparing to take Exam P is Marcel B. Finan’s A Probability Course for the Actuaries, which you can download for free in pdf format. It starts with the very basics of set theory and probability and gradually works its way toward the most advanced concepts to be tested. Every section focuses on a different key idea and builds on the previous topics; there are also instructive detailed proofs, examples, and practice problems to guide you along the way. This book is available to the public and has an immense wealth of excellent resources. In preparing for the exam, I did some work for Dr. Finan in making the answer keys to the exercises in this book, which I made available in 2008.

With focus, determination, and discipline, you can do well on Exam P and achieve entry into the fascinating and lucrative world of actuarial science. And with these excellent free study materials, all you will need to invest into your education is the $225 exam fee, your time, and your effort.

Investmentocracy: A Challenge to Conventional Democratic Principles and a Framework for a New Free Society (2009) – Treatise by G. Stolyarov II – Second Edition

Investmentocracy: A Challenge to Conventional Democratic Principles and a Framework for a New Free Society (2009) – Treatise by G. Stolyarov II – Second Edition

The New Renaissance Hat
G. Stolyarov II
July 8, 2014
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The Second Edition of my 2009 treatise “Investmentocracy: A Challenge to Conventional Democratic Principles and a Framework for a New Free Society” has been released in PDF format. It can be freely downloaded here.
***

Abstract

            The system of investmentocracy, described and defended here, offers a viable alternative to the conventional democratic principles of “one man, one vote” and the illegitimacy of vote transfers and vote pooling among individuals. Investmentocracy, which rewards contributors to the government with a number of votes proportional to their contributions, permits a viable elimination of compulsory taxation. Investmentocracy also entails remedies for voter irrationality and strong protections for all individual rights, including the rights of non-contributors. I use the Freecharter, a constitution of my own design, to provide a specific framework within which investmentocracy can be viably embedded. Here, both protections for individual rights inherent to investmentocracy itself and protections contained in other parts of the Freecharter will be examined.

***

Table of Contents

Section Page
Abstract 2
Introduction 2
I. Existing Literature Regarding Investmentocracy and CDPs
    1. Literature Regarding Investmentocracy 3
    2. Literature Critiquing Conventional Democratic Principles 5
II. Problems With Conventional Democratic Principles
    3. Incompatibility of Compulsory Taxation With Individual Rights 9
    4. Ownership Shares in Governmental Entities 10
    5. Lack of Sanctity of the One Man, One Vote Principle 10
III. Mechanics of Investmentocracy and the Transition from CDPs
    6. Investmentocracy and the Elimination of Taxation 11
    7. Transferability of Votes Under Investmentocracy 12
    8. Pooling of Votes Under Investmentocracy 12
    9. Cosmopolitanism, Non-Discrimination, and Investmentocracy 13
  10. Investmentocracy and Incentives for Voter Rationality 14
  11. Defeating the “Social Quacks” Through Investmentocracy 15
  12. The Transition from CDPs to Investmentocracy 16
IV. Resolution of Objections and Concerns Regarding Investmentocracy
  13. The Incentive to Invest 17
  14. The Welfare Loophole Addressed 18
  15. Why Investmentocracy Will Not Create a Hereditary Aristocracy 19
  16. Why the Wealthiest Few Will Not Take Over 21
  17. The Elimination of Forced Carrying and the Mitigation of Free Riding 25
  18. Protecting Rights Under Investmentocracy

18.1.Protections for Individual Rights Inherent to Investmentocracy

18.1a. Desire for Additional Government Funding

18.1b. Fewer Reasons to Oppress Non-Contributors

18.1c. Friedman’s Four Types of Spending Under CDPs and Investmentocracy

18.2.Protections for Individual Rights External to Investmentocracy

18.2a. The Bill of Rights and the Restrictive Clauses

18.2b. The Tricameral Legislature

18.2c. The Nullifier

18.2d. The Opt-In Constitution

29

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40

Conclusion 42
Appendix: The Freecharter: A Constitution for a Society of Lasting Liberty 44
Works Cited 69
About Mr. Stolyarov 72

***
Find out more about the Freecharter.

Three Ethical Arguments Against Affirmative Action (2003) – Article by G. Stolyarov II

Three Ethical Arguments Against Affirmative Action (2003) – Article by G. Stolyarov II

The New Renaissance Hat
G. Stolyarov II
July 7, 2014
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Note from the Author: This essay was originally written in 2003 and published on Associated Content (subsequently, Yahoo! Voices) in 2007. It has been one of my most-read articles, earning over 66,000 page views, and I seek to preserve it as a valuable resource for readers, subsequent to the imminent closure of Yahoo! Voices. Therefore, this essay is being published directly on The Rational Argumentator for the first time. 
***
~ G. Stolyarov II, July 7, 2014
***

It is time we cease judging people based on the color of their skin and focus on their true character. For three pivotal considerations – that affirmative action harms its intended beneficiaries, that it punishes the most innocent and industrious of persons, and that it defies an essentially individualistic American work ethic – it is imperative to abolish this truly racist practice.

Affirmative-action policy advocates claim that their target is to aid previously persecuted minorities, yet, in reality, such initiatives harm their intended beneficiaries. Thomas Sowell, an African-American researcher at the Hoover Institute at Stanford, reveals that “today many Americans will refuse to visit a black physician or dentist because of their assumption that he or she was admitted both to medical school and to the position held through ‘special preferences’, set-aside quotas, and relaxed standards. The same is true for many other professionals and for other beneficiaries of ‘affirmative action.'” Even if a minority professional is a qualified, rational practitioner, he or she will be shunned due to the stereotype, created by affirmative action, that he or she is a puppet of special interest wars.

Moreover, affirmative action punishes non-minority workers and students, many of whom are the most innocent and industrious of persons. According to libertarian activist Aaron Biterman of Endicott College, Massachusetts, through affirmative action “people are kept down because of the past actions of their ancestors. The innocent are punished because of what the guilty have done. At the University of California Davis in 2002, every 16 out of 100 openings were automatically given to minority students. What happens to white students who may be smarter than the minority students? The white students are left behind because, if they aren’t left behind, ‘racism’ is screamed.”

At the University of Michigan, according to Pepperdine University Economics Professor Stephen Yates, being black automatically counts 20 points toward admission, while a perfect SAT score earns only 12 points. The sins of some Caucasian people’s fathers, for which current generations bear zero responsibility, are sufficient to deny white males today education and jobs for which they are more than capable, thus ruining their lives.

A third crucial reason for the abolition of this practice is that affirmative action defies an essentially individualistic American work ethic. Let us reflect upon those American Jews and Japanese Americans whom the FDR administration had either locked in concentration camps or denied entry into the United States. Biterman presents the following argument: “Are the Jews and Japanese asking for affirmative action? No. Because the Jews and the Japanese have made it in America through the only way you can make it in America: hard work, smart investing, and personal responsibility. Groups such as African-Americans, Hispanics, and women should learn from the experiences of their oppressed brethren.” Skin color, gender, and ethnicity are inconsequential in a capitalist system; merit is consequential, and is the reason why Jews and Japanese are no longer “oppressed minorities”, but happily thriving members of the “majority,” however defined. On the contrary, affirmative action destroys the ethic of merit. Reporter Steven Plaut elaborates, “If a woman [or any ‘minority member’] happens to be the most qualified person for a position, then she will be automatically hired by anyone whose self-interest [so] dictates…. There is no reason for quotas or double standards in hiring. Such quotas ensure only one thing: that the person hired will not be the most qualified. After all, that is the whole point of reverse discrimination!”

“I have a dream that my four little children shall one day inhabit a world where they will be judged not by the color of their skin, but by the content of their character.” Let us at last heed the words of Dr. King, champion of a color-blind culture, and encourage judgment only based on one’s individual merit in matters of education and employment. Because affirmative action harms its intended beneficiaries, punishes the most innocent and industrious of persons, and defies an essentially individualistic American work ethic, it is time to terminate this abominable practice.

How to Solve Problems of Integration by Parts Using the Tabular Method (2007) – Article by G. Stolyarov II

How to Solve Problems of Integration by Parts Using the Tabular Method (2007) – Article by G. Stolyarov II

The New Renaissance Hat
G. Stolyarov II
July 6, 2014
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Note from the Author: This essay was originally written and published on Associated Content (subsequently, Yahoo! Voices) in 2007. The tabular method is one of my favorite mathematical techniques, capable of saving tremendous amounts of time in completing certain integration problems. While the method is not commonly emphasized in conventional calculus curricula, the enthusiastic reception of this article showed that there is significant interest among students in this concise, elegant approach. This article earned over 30,000 page views on Associated Content/Yahoo! Voices, and I seek to preserve it as a valuable resource for readers, subsequent to the imminent closure of Yahoo! Voices. Therefore, this essay is being published directly on The Rational Argumentator for the first time. 
***
~ G. Stolyarov II, July 6, 2014
***
Doing calculus problems which require integration by parts can be a lengthy and tedious process, even for someone with experience in finding the integrals of functions. Fortunately, for many of the most common types of integration by parts, there is fast, simple shortcut available. I have used the tabular method to great advantage on exams and math contests; this technique was one of the tools that enabled me to earn a perfect score of 40 on the Continental Mathematics League’s nationwide calculus competition in 2005.
***

The tabular method can be applied to any function which is the product of two expressions, where one of the expressions has some nth derivative equal to zero. For instance, the tabular method can be used to find the indefinite integral of x4e3x, but not of sin(x)e3x. This is because the 5th derivative of x4 is equal to zero, whereas sin(x) does not have any nth derivative which always exhibits zero values.

The tabular method uses a convenient table with three columns. We can call the first column “Signs,” the second column “u” and the third column “dv.” Under the column called “Signs,” we list positive and negative signs in alternating order for as many times as the problem requires. The first entry in the column labeled “u” will be the part of the function we want to integrate which can be reduced to zero through successive differentiation. In integrating our sample function, x4e3x, we will put x4 in the column labeled “u.” The subsequent entries in the “u” column will be the successive derivatives of the first entry — all the way to zero.

The first entry in the column labeled “dv” includes the other part of the function we want to integrate. The subsequent entries in this column will be the successive integrals of the first entry. For our sample problem, the first entry in the “dv” column will be e3x.

This is how the table for finding the integral of x4e3x will look:

Signs u dv
+ x4 e3x
4x3 (1/3)e3x
+ 12x2 (1/9)e3x
24x (1/27)e3x
+ 24 (1/81)e3x
0 (1/243)e3x

Using this table to find the indefinite integral of the function requires taking the sign from each row in the column except the last, applying it to the entry for “u” in the same row, and multiplying the result by the entry for “dv” in the next row. Doing this problem on paper, you would simply draw arrows between the following expressions:

+ x4 and (1/3)e3x
– 4x3 and (1/9)e3x
+ 12x2 and (1/27)e3x
– 24x and (1/81)e3x
+ 24 and (1/243)e3x

Now multiply each of the expressions linked by “and” (or the arrows on paper) and add them together to get the final indefinite integral:

(1/3)x4e3x – (4/9)x3e3x + (4/9)x2e3x – (8/27)xe3x + (8/81)e3x + C

Remember to include the constant C if you wish to leave the integral in indefinite form without evaluating it.

The great advantage of using the tabular method is the ability to do integration by parts mechanically, without needing to exert a large amount of thinking about the special circumstances of the problem. The procedure is fairly quick to memorize and easy to retain. After you learn it once, it will always be at your disposal as a tool for quickly and easily determining indefinite integrals that would otherwise take an immense amount of time to find.

An Analysis of Ethical Issues in the Film “Gattaca” (2004) – Article by G. Stolyarov II

An Analysis of Ethical Issues in the Film “Gattaca” (2004) – Article by G. Stolyarov II

The New Renaissance Hat
G. Stolyarov II
July 4, 2014
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Note from the Author: This essay was originally written in 2004 and published on Associated Content (subsequently, Yahoo! Voices) in 2007. It earned over 40,000 page views since, and I seek to preserve it as a valuable resource for readers, subsequent to the imminent closure of Yahoo! Voices. Therefore, this essay is being published directly on The Rational Argumentator for the first time. 
***
~ G. Stolyarov II, July 4, 2014
***

The central ethical dilemma of the 1997 Andrew Niccol film Gattaca concerns the manner in which an individual ought to be judged. Should it be by the composition of his genome, present at birth, or by the attributes of personality and ambition that are chosen by that individual? In the futuristic society depicted in the film, genetic engineering allows for the elimination of almost all physical defects in newborns, whose bodily characteristics later render them far more favorable candidates for employment than those whose genes had not been enhanced in this manner. Eventually, interviews are conducted not to assess an applicant’s character and determination, but his genetic code. The even more fundamental question that arises from this is, “What determines the essential identity of a human being? Is it his genetic code, or is it something else?”

Vincent is a child born in the obsolete manner, and thus his genome is riddled with “errors,” from which high “probabilities” of him obtaining certain ailments later in life are inferred. Nevertheless, these are probabilities only, and Vincent is healthy, athletic, and yearns to one day explore outer space. Unfortunately, he is denied admission to Gattaca, the facility of the space program, on the basis of his genome alone. Despite his splendid knowledge of astronomy and navigation, the best test scores in the world will not admit him.

Yet Vincent is not content with the position of janitor, and “borrows” the identity of Jerome Morrow, a paralyzed individual with a superb genome. A series of complex procedures is designed to allow Vincent to pass all the substance tests and gain admission to Gattaca under the name of Jerome Morrow. Jerome may have the genetic endowment to enter Gattaca, but he lacks the will, and thus harbors no objection to Vincent taking his place. Another employee at Gattaca, Irene, had also been born in the obsolete manner, but her genome is adequate enough for her to be permitted to work on minor tasks. She suspects that Vincent may be connected with the recent murder of the mission director, who was about to uncover Vincent’s actual identity. In the process, however, she enters a relationship with Vincent, and faces the dilemma of whether or not to disclose his identity to the police.

Vincent’s brother, Anton, is the inspector heading the murder investigation. Throughout his childhood, he sought to demonstrate his superiority to Vincent by virtue of his enhanced genetic endowment. Nevertheless, Vincent had once saved Anton’s life in a game of “chicken,” where Anton’s body had failed him, while Vincent’s was able to endure. Anton wishes to maintain the image of his superiority and is immensely jealous of Vincent’s successful aspiring to the heights of outer space.

Vincent attempts to deceive the security systems at Gattaca by pretending to be Jerome Morrow and presenting samples of bodily substances prepared by Jerome for various examinations. In the meantime, he studies and works diligently, and his level of performance at Gattaca is precisely what is anticipated of a man with a privileged genetic endowment. Thus, only a few people ever come to suspect that Vincent is a “borrowed ladder,” a fabricator of his genetic identity. Vincent is set to depart on a mission into space, after which his individual merits will overrule his genome conclusively, and he will no longer be subject to genetic security tests. However, the murder of the mission director subjects Gattaca to a series of extremely intrusive investigations by police that threaten to uncover Vincent’s true identity and even arrest him for murder, even though Vincent is innocent of the crime.

Vincent’s tenacity and resolve to enter space ultimately allow him to successfully endure turbulent times. Despite a multitude of close calls, he is saved from universal detection, though he is recognized by Irene, whose personal admiration for Vincent overrides the fact that Vincent had broken the law. Anton also recognizes his brother and threatens to arrest him, still acting on his childhood jealousy. However, a final game of “chicken,” in which Vincent saves Anton once again, proves that Vincent’s defiance of the inferior expectations imposed upon him by his society has enabled him to exceed in his abilities individuals like Anton, whom societal expectations had favored. The doctor at Gattaca recognized Vincent’s individual merits and decided to fabricate a “valid” test for him on the day of the launch. To people like the doctor, Vincent has proved his worth and his genetic composition has become irrelevant.

Vincent’s course of action, though in violation of the law, was not in violation of moral principles. Vincent had harmed no one by his attempt to pursue his ambitions at Gattaca and in outer space; thus, his action exhibited the principle of nonmaleficence. His exploratory endeavors are of immense benefit to both himself and the level of knowledge available to the general society; thus, his action fulfills the principle of beneficence. His action was an exercise of his individual autonomy and right to self-determination in the face of a hierarchical culture that repressed these rights. Finally, his action attempted to allow Vincent to experience the just treatment that he deserved on the basis of his merits, and which, absent the action, would have been denied to him on the basis of his genome. Thus, the action fulfills the principle of justice.

A rational society would have resolved the ethical dilemma of the proper criterion of judging an individual by eschewing determinism altogether. Vincent should not have initially been seen solely as the product of his genes, for a man is born tabula rasa where the mind is concerned. The human genome determines only the structural mechanisms that exist in the individual organism. How the individual employs those mechanisms is a matter of pure willpower and determination. Few genes can conclusively determine an individual’s fate; a high probability of heart disease can be reduced by strenuous exercise, of the sort Vincent engaged in. A low “intelligence quotient” is no obstacle to an individual reading, comprehending, and applying immense volumes of material, so long as the interest to do so is clearly seen.

Vincent should have been admitted to Gattaca on the basis of a one-on-one interview process that tested his knowledge, physical skill, and enthusiasm for space exploration, for, without these, the finest genetic endowment can still produce a Jerome Morrow, a man who is paralyzed not only in body (by an accident) but in mind (by lack of ambition). The theory that fits this solution is principlism. Vincent is not harming anyone by pursuing his own favorite field of exploration; thus, the action is nonmaleficent. He is amply benefiting himself and others through his skilled endeavors in the realm of space exploration; thus, the action is beneficent. He is allowed to exercise his individual autonomy and pursue his goals, regardless of societal prejudices. And, finally, he is entitled to the same freedom of action and opportunity that other members of his society (the genetically engineered individuals) possess, which passes the test for comparative justice.

Free Study Guide on Public-Choice Economics – Third Edition – by G. Stolyarov II

Free Study Guide on Public-Choice Economics – Third Edition – by G. Stolyarov II

The New Renaissance Hat
G. Stolyarov II
July 3, 2014
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The Third Edition of the popular Free Study Guide on Public-Choice Economics, prior editions of which have received over 31,000 views, is now available for download. Click here to download a free PDF copy of the Third Edition of this study guide.

This study guide covers 20 areas of public-choice theory and related topics in a question-and-answer format, with questions developed by Mr. Stolyarov on the basis on his notes taken in Stolyarovian Shorthand during the 2008 session of the Public Choice Economics course at Hillsdale College, taught by the renowned economist and professor, Dr. Gary Wolfram.

See more educational offerings in The Rational Argumentator’s section of Free Tools for Rational Education.

Ceremonial plastic sword, awarded to Mr. Stolyarov in 2008 for receiving the highest grade in Professor Gary Wolfram’s Public Choice Economics course at Hillsdale College.

Ceremonial plastic sword, awarded to Mr. Stolyarov in 2008 for receiving the highest grade in Professor Gary Wolfram’s Public Choice Economics course at Hillsdale College.

Why I Do Not Adhere to Anarcho-Capitalism (2009) – Article by G. Stolyarov II

Why I Do Not Adhere to Anarcho-Capitalism (2009) – Article by G. Stolyarov II

The New Renaissance Hat
G. Stolyarov II
Originally Published August 9, 2009,
as Part of Issue CCII of The Rational Argumentator
Republished July 2, 2014
******************************
Note from the Author: This essay was originally published as part of Issue CII of The Rational Argumentator on August 9, 2009, using the Yahoo! Voices publishing platform. Because of the imminent closure of Yahoo! Voices, the essay is now being made directly available on The Rational Argumentator. The arguments in it continue to be relevant to discussions regarding minarchism and anarcho-capitalism, and therefore it is fitting for this publication to provide these arguments a fresh presence.
~ G. Stolyarov II, July 2, 2014
***

As one of the many libertarians who loves individual freedom and free markets but nevertheless perceives an important role for government, I have been challenged numerous times on my stance. The best way to describe my position is that I am a minarchist in theory; I happen to agree with Thomas Jefferson that “that government is best which governs least,” and yet I recognize that an active government is necessary for combating force and fraud and for ensuring that the natural rights of individuals are not transgressed upon by other private parties. In practice, I am an incrementalist – a strong supporter of evolutionary change rather than revolutionary change of any sort. I believe that real-world political reform is a delicate process, and that the sequence of transitions matters just as much as the abstract desirability of any given transition. We want to implement the right changes, but we also need to implement them in the right order – just as a doctor who wishes to cure a patient using theoretically sound procedures cannot just apply the procedures in an arbitrary sequence and hope to succeed.

Following Murray Rothbard (who, unlike me, was a noted anarcho-capitalist), I believe that liberty is the most desirable political end, but it is not necessarily the most desirable end of all. The length, prosperity, and security of every individual’s life are to me much more important – and I see liberty as the surest means of attaining those ends to the greatest extent. However, it is possible for those ends to also be partially and tolerably well attained – at least in the short term – in an environment that lacks complete liberty. This is why I developed a rough system that “measures” degrees of government oppression using a mixture of cardinal and ordinal approaches. Irrespective of the particular criteria of comparison, any reasonable thinker will agree that some governments today are much more tolerable than others – and a few are quite innocuous and even outright beneficent, especially when we consider governments over smaller jurisdictions, such as states and localities, and particular agencies of those governments which do not employ coercion to any substantial extent. Metaphysically, I agree with Ayn Rand that there is an objective reality, where A = A – i.e., every particular thing is what it is and not what one’s mental model of it happens to be. Thus, I believe in judging every particular instance of government or governance not just as “government or governance in general” but rather as precisely what it is specifically – which means that a government is nothing more than the sum of the people who compose it and their actions, which need to be judged on their own merits or lack thereof. I am therefore open to the possibility that some governments may be able to solve some problems without infringing on natural rights at all. I am equally open, of course, to the possibility that those problems may be solved on the free market without government participation.

Here, I will present a basic outline of my objections to anarcho-capitalism as it is typically presented today. Anarcho-capitalism can be defined as the position that government is unnecessary altogether and that market-based services can provide all of the essential functions of government recognized by the minarchist as legitimate – including police protection, protection from foreign invaders, enforcement of contracts, and adjudication of disputes.

My Foremost Political Goal

I define a state of complete liberty as the absence of the initiation of violence or coercive dishonesty by any individual against any other individual. By “violence” I mean the physical disruption of either the integrity of an individual’s body or that of the material things which that individual owns. The term “coercive dishonesty” encompasses fraud, breach of contract, bad-faith dealings, and failure to fully disclose information that would affect the decision of a party in a business transaction. By “initiating” violence or coercive dishonesty I mean being the first party to inflict such acts on another, without having had such acts inflicted on oneself by that other and without defending some other innocent party against those acts inflicted by that other. I do not consider retaliatory force – provided that it is a proportional response to the initiated force and does not harm innocent parties – to be illegitimate or undesirable.

Thus, I believe that the state of the world which minimizes violence and coercive dishonesty as much as possible is the most desirable state. To be sure, both many governments and many private parties throughout history have engaged in these heinous acts – and I am not defending any entities that have. My position does not embrace governments as they currently are, but as they can be and ought to be. Anarcho-capitalists may object to my position by arguing that few, if any, governments in history have subscribed to minarchist principles and initiated no violence or coercive dishonesty. To this, I will reply by quoting John Lennon: “You may call me a dreamer, but I’m not the only one.” Few, if any, societies in history have been viably anarcho-capitalist, either. Neither my position nor the anarcho-capitalists’ has any existing real-world incarnation. The question before us, then, is which of these positions would result in less overall violence and coercive dishonesty if implemented in practice?

Objection 1: Lack of an Ultimate Arbiter

Anarcho-capitalists posit that dispute resolution – be it of the character of police action or judicial proceedings – can occur among entirely private entities on the free market without any government involvement at all. For sake of conciseness, I will call the entities that engage in this manner of dispute resolution DRAs – or dispute resolution agencies.

It is true that many forms of dispute resolution can occur without government participation and do occur in this manner today – within families and business arrangements subject to private arbitration. If a private dispute is resolved satisfactorily by the relevant private parties themselves, then there is no need for recourse to government. However, there also exist instances – all too many today, as evidenced by the overwhelmed American judicial system – where private parties cannot reconcile their differences solely through private means. Anarcho-capitalists’ typical response to this is that in a wholly free market (as they define it, that is, with no government altogether) ex ante arrangements would exist whereby, if DRA X and DRA Y – representing two different and opposing parties in a dispute – could not reach a mutually satisfactory decision, the power of decision would be delegated to a third DRA – Z. This is conceivable, but it is by no means guaranteed that such an arrangement would occur in all cases. Thus, under anarcho-capitalism, there is nothing theoretically preventing there being no ultimate resolution to a dispute – ever – from the standpoint of legitimacy, in which case there would be no recourse left but to the principle of “might makes right.” If a dispute cannot be resolved peacefully, then it will devolve into violence – which is the least desirable of all outcomes. Anarcho-capitalism lacks an ultimate arbiter that would step in irrespective of prior contractual arrangements or lack thereof in order to quell the initiation of violence if it were to occur.

It is conceivable that a government could leave most dispute resolution to the private market – unless the market has demonstrated its failure to achieve lasting, peaceable resolution. In that case, the government, as the ultimate arbiter, would need to intervene and offer a resolution, either through a decision of its courts or through the interposition of armed agents whose presence would prevent violence from erupting. It is important to remind my readers that my foremost objective is the prevention of violence breaking out. If two private DRAs were about to begin a miniature war – and they happened not to have contractual procedures in place for preventing it beforehand – then it is desirable for a third agency with greater powers than a mere private entity to decisively put an end to such coercive and damaging behavior.

Objection 2: Lack of Legitimate Enforcement against Violent Non-Parties to Contracts

The way an anarcho-capitalist society would work – according to most of its advocates – is that all members would bind themselves by contracts in their mutual interactions, and the contracts would stipulate consequences for non-compliance. This raises an interesting issue: What if a person within the society refused to bind himself by any contracts whatsoever and simply raided, stole, and murdered as he saw fit? If there is no law other than what individuals choose to bind themselves by, then what legitimate recourse do other non-coercive members of the society have against this initiator of violence? Moreover, if this person were to team up with a host of others who similarly chose not to bind themselves by any contracts that prohibit initiation of force, could not a formidable criminal gang form and terrorize – if not overwhelm – the peaceful portions of the anarcho-capitalist society? Of course, somebody in the anarcho-capitalist society could always simply kill or detain the aggressors in practice, without regard for whether the aggressors broke a contract or not. However, such an act would not be legitimate in an anarcho-capitalist society. Illegitimate acts can and do occur – both with and without governments – but what counts as an illegitimate act matters. Under a government, murder can and does happen, but murder is considered illegitimate. Under anarcho-capitalism, murder by non-parties to any contracts is not illegitimate, but punishing by force a person who commits such a murder is illegitimate. A system where legitimacy fails to apply to actions with obvious morality and desirability is a troubling system indeed.

Objection 3: The Oxymoron and the Danger of Markets in Force

A market arrangement is an arrangement based on voluntary participation of all parties – an arrangement where trading is substituted for compulsion. On a free market for a typical good or service – such as an item of food or a construction job, for instance – no individual is required to buy and no individual is required to sell, except on terms mutually favorable and explicitly agreed upon. However, the term “market” no longer applies in this sense when any element of compulsion is introduced. When a “market service” involves wielding weapons and enacting violence against individuals who do not wish to have this violence inflicted upon them, it ceases to be a “market service” and becomes something quite different. This does not necessarily make such a service illegitimate, of course – as the potential for retaliatory force is a necessary component in minimizing the initiation of force. However, this difference does invalidate the application of typical principles of analyzing markets to such “services.” There can be no market-based analysis of a service that does not entirely rely on voluntary consent from all parties involved.

One of the glaring dangers of a “market service” specializing in the use of force is that such a service could simply use the force it “produces” to extort or steal other people’s wealth instead of earning it in voluntary trades. Without an external authority to enforce a prohibition on this behavior, there is no guarantee that such behavior would not occur. A free-market DRA would not always do this, of course, but there are conceivable scenarios where every incentive would favor such behavior. Only when there are substantial disincentives to the use of force from other armed parties on a free market or when the DRA administrator is particularly humane, benevolent, and enlightened could a DRA be reasonably expected not to violate individual rights. There are two ways for such incentives to arise without reliance on anyone’s personal virtues. Either 1) there could exist a “balance of power” among the DRAs such that each of them is afraid of transgressing against clients of the other or 2) there could exist an authority external to the DRAs that would always protect the parties unjustly aggressed upon, irrespective of the power differential between the aggressors and the targets of aggression. I favor solution 2), because it is not as contingent on a particular balance of power being in place.

Moreover, many anarcho-capitalists claim that one of the problems with government is that it has a monopoly on the use of force and that, as a monopoly, it necessarily offers a lower quality and lower quantity of its product at higher prices. I urge the reader to recall, however, that we are not here discussing a monopoly on otherwise entirely voluntary transactions. It is useful to ask the question whether it is desirable to have force offered in “higher quality,” higher quantities, and a lower price. I, for one, would prefer it to be more expensive to kill a person rather than less – and for the methods of killing to be both of lower quality (i.e., less reliable at killing) and available in lower quantities. Perhaps a monopoly on force has the potential to minimize the use of force compared to “competition” in force. This, I believe, is an empirical question – but even the question itself challenges many anarcho-capitalists’ assertions that governments are necessarily bad because they are monopolies on the use of force.

Objection 4: Each Person a Judge in His Own Case

This objection to anarcho-capitalism comes from none other than one of history’s first libertarians – John Locke. Locke believed that a government is necessary to resolve disputes and decide on punishments, because no individual is qualified to be an impartial judge in his own case. Virtually all of us, when we feel wronged, have a tendency to exaggerate the magnitude of the injury we have suffered and to demand a punishment that is likely to be disproportionate to the offense. On the other hand, when a person has wronged somebody else, he has an incentive to maintain his innocence or to argue that his act was not as grievous as was truly the case. A third party, not itself a victim or a perpetrator of the wrongful act, is needed to ascertain both the facts of the case and the apportionment of guilt and punishment. Sometimes, such a third party could indeed be a private arbiter. However, it is entirely possible for two private DRAs to each be vested – either emotionally, financially, or both – in the interests of their particular clients in a manner that would detract from objectivity in reaching a decision. In that case, I believe that an indispensable role exists for government to provide the desirable impartial arbitration.

Objection 5: Over-Emphasis on Names, Under-Emphasis on Reality

My concern with anarcho-capitalism is it substitutes consideration of the names of political arrangements for the reality of those arrangements – i.e., the physical actions performed by physical people in the physical world. Whether a function is called a “market” function or a “government” function is not as important as the physical movements involved in carrying out that function. If the physical movements involved do not cause disruption of body or property (as in violence) and do not involve the formation of chemical reactions corresponding to false impressions of reality in the brains of parties to a transaction (as in coercive dishonesty), then the action is legitimate from the standpoint of natural law. On the other hand, if the physical movements of individuals correspond to acts of violence or coercive dishonesty, then these actions are illegitimate – irrespective of whether the individuals call themselves (or are called by others) government officials, free-market DRAs, or private gangsters.

Anarcho-capitalists might respond here by noting that, in the 20th century, governments have killed more people than possibly all private crime in human history. This is true – but it does not undermine the case for any government whatsoever. The killing was done by some governments – such as the governments of Nazi Germany, the USSR, and Maoist China – but not others, such as many of the governments of American cities, towns, and villages. Moreover, even in the governments that perpetrated the killings, only some of the officials were responsible for either ordering the killings, promoting them as desirable, or carrying them out. Millions of government employees have never committed a single coercive action (and yes, that even includes their mode of earning a living – as quite a few government positions are not tax-financed). It does not seem fair to lump a peaceful bureaucrat doing research or mediating consumer complaints at his desk with an NKVD officer massacring villagers in the Ukraine. Both are “government” functionaries, but they could not be farther apart in terms of what they do, and the atrocities of the latter do not de-legitimize the former. The anarcho-capitalist characterization of all government as violent, coercive, and unnecessary is a poor substitute for a thorough consideration of reality. Moreover, it is a violation of the principle of methodological individualism, which evaluates the actions of each person as an individual person, and not primarily as a member of a collective. Collectives do not act or think; only individual people do – although the incentives people face depend on the institutional structure to which those people are subject.

Objection 6: No Practical Application

To date, I have not found a single viable proposal for the attainment of anarcho-capitalism in the real world. Anarcho-capitalists have tended to spend most of their time on either 1) describing what an ideal anarcho-capitalist society would be like or 2) discussing why government, in its various manifestations, is undesirable. At the same time, some anarcho-capitalists have disdained and even actively discouraged participation in “the system” as it currently is, because that would grant “implicit recognition” to existing power structures. During the 2008 Republican Primaries, for instance, many anarcho-capitalists (though, of course, not all of them; I do not mean to offer a blanket characterization) endeavored to actively dissuade people from supporting the Ron Paul movement, arguing that attempting to reform the U.S. government from within would grant legitimacy to the structures of the U.S. government. These anarchists were preoccupied with formal structures over the substantive functions of the government – which could be better or worse than they are today. Moreover, these anti-Ron-Paul anarcho-capitalists undermined a movement that had the potential to eliminate many of the abuses of the U. S. federal government against its subjects’ liberties.

I happen to believe that political theory is more than a mind game; it has relevance to the real world, and it ought to have real-world implications for how we act in our own lives. It is not enough to simply state that one would like the world to be a certain way. Rather, a specific, technical, and quite involved series of steps is necessary to transition from the status quo to any state considered desirable. To simply contemplate the end outcome without any idea of how to attain it or even approach it is to divorce one’s political thinking from reality. We find ourselves today with a highly imperfect political system – one that involves numerous violations of individual liberties and also jeopardizes the economic prosperity and technological progress of the Western world. To solve today’s political problems, we cannot but participate in government in some way for the purposes of reforming it or at least protecting ourselves. To reject government altogether instead of endeavoring to improve it is to hide from the real, pressing problems of our time.

Perhaps the anarcho-capitalist ideal will be realizable in some distant future time, once human beings have progressed morally and technologically to such an extent that the initiation of force is no longer lucrative to anybody. I even suggested that this would happen in my short story, “The Fate of War.” In that enlightened time, violence would altogether not be within the realm of human consideration, and a viable anarcho-capitalism would be the natural corollary to that state of affairs.

Meanwhile, however, we are alive today – and if we do not have that which we consider good within our lifetimes, we shall not have it at all. If it is liberty we want – and the anarcho-capitalists have not come up with a viable way to have it without government – then we must have liberty with government. This endeavor will require working through government as well as through private channels; it will require not rejecting the existing system, but modifying it incrementally to move it toward more liberty and less violence. At the same time, a revolution against government is the least desirable course of action, because it would devastate our current levels of prosperity, health, and stability. Individuals who are wealthy, productive, and in control of their lives will come, over time, to civilly demand increasing amounts of independence from centralized control. On the other hand, individuals whose livelihoods have been ruined and whose prospects for upward mobility have been thwarted by an unstable macroeconomic and political climate – which inevitably accompanies revolutions – are easy prey for demagogues and would-be tyrants. Advocates of freedom must be patient, civil, and cautious. While challenging abuses of government authority as such abuses occur, freedom-loving people ought never to do anything that would undermine the standard of living or the safety and comfort of people in the Western world.