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Victor Aguilar's Axiomatic Theory of Economics is based on three axioms:

1) One's value scale is totally (linearly) ordered:

i) Transitive; p \(\leq \) q and q \(\leq \) r imply p \(\leq \) r
ii) Reflexive; p \(\leq \) p
  iii) Anti-Symmetric; p \(\leq \) q and q \(\leq \) p imply p = q
  iv) Total; p \(\leq \) q or q \(\leq \) p

2) Marginal (diminishing) utility, u(s), is such that:

i) It is independent of first-unit demand.
ii) It is negative monotonic; that is, u'(s) < 0.
  iii) The integral of u(s) from zero to infinity is finite.
3) First-unit demand conforms to proportionate effect:

i) Value changes each day by a proportion (called 1+εj, with j denoting the day), of the previous day's value.
ii) In the long run, the εj's may be considered random as they are not directly related to each other nor are they uniquely a function of value.
  iii) The εj's are taken from an unspecified distribution with a finite mean and a non-zero, finite variance.

Primary Documents

Simplified Exposition of Axiomatic Economics 1999
Critique of Austrian Economics From 1930 To 1990 2004
Austrian, Chicago and Keynesian Rebuttals to Aguilar 2007
Is the Collapse of the Dollar Inevitable?   2008
Aguilar Convergence Problem - $1000 Prize 2010
Theoretical Foundation for the Inverse Power Law Distribution 2013

Secondary Documents

Socrates and Hume at Billiards 2006
Review of Fuerle Pure Logic of Choice 2006
Did Mises and Hayek Predict the Great Depression? 2006
The Wreckage of Austrian Business Cycle Theory 2008
Critique of Black-Scholes "Black Swan" Problem 2009
The Definition of Post-Autistic Economics 2009
Did Jared Lee Loughner Kill on Behalf of Stephen Zarlenga? 2011
Review of Mark Buchanan's Book, Forecast 2013
A Monolithic Perspective on Economic Methodology 2013
Scientific Method, Groundless Guesswork - Same Thing? 2014
History of Economics from 1974 to 2014 2014
Reply to Simon Gilson on Diminishing Utility 2015

Tertiary Documents

Has anything like Axiomatic Economics been done before? 2007
Ode to an Economics Troll - Poetry 2008
Do You Agree with Steve Horwitz or Milton Friedman? 2009
Advice on Personal Finances Based on Economic Forecasts 2011
Review of Pinker The Stuff of Thought 2011
Reply to Egmont Kakarot-Handtke 2012
F. A. Hayek and the Economic Calculus 2013
Critique of Giocoli on the Axiomatic Method in Economics 2014
Review of Varoufakis’ and Arnsperger’s What Is Neoclassical Economics? 2015
Critique of Tony Lawson on Neoclassical Economics 2015

Critiques of the Tea Party

Seven Questions for Ron Paul 2007
War between the Mice and the Weasels 2007
How Many Mistakes Will Fit Into One Sentence? 2008
Michael Roller - Prophet of Doom 2008
Critique of Ron Paul End the Fed 2009
Are You Austrian, Axiomatic or Mainstream? – Quiz
Click here for the short version.

Critiques of Socialism

Critique of Stephen Zarlenga on the Origin of Money 2006
Critique of Montagne Mathematically Perfected Economy 2008
Critique of Richard C. Cook Program for Monetary Reform 2008
Cutting the Gordian Knot of GE Theory 2008
Critique of Burczak Socialism after Hayek 2009
Definition of the Mafia, Fascism and Communism 2014

Critiques of Fascism

Critique of Richard Duncan Dollar Crisis 2007
Fascism: Socialism with Shareholders 2008
Socialism without Seizure is still Socialism 2008
The Movement to Burn Toxic Textbooks 2009

Non-Economic Documents

High School and College Papers    
$5000 Cipher Contest 2004
6:5 Blackjack System 2005
Thinking of quitting your job to start a business? 2007
Timed Ascents of Squaw Peak 2008
The Ballistic Coefficient of Pumpkins 2009
Software to Break Vigenère (Polyalphabetic) Ciphers 2011
Getting Ahead in Monopoly through Extortion 2011
Cryptogram Instructions for Short Words 2014

High School Math Instruction

How Math Can Be Taught Better 2015
An Alternative Postulate Set for Geometry 2016
Geometry-Do: Geometry without Multiplication 2016
White- and Yellow-Belt Geometry Tutorial 2017
Green Belt Entrance Exam 2017
Geometry-Do, First-Day Exam 2017
Flow of Water in a Culvert 2016
Trappist-1 Science Writing Contest 2017
Algebra Comparison First 2017
Geometry Comparison First 2017

Chapter Four of my book is , or if one skips the proofs, which are clearly demarcated. The other chapters are all . By comparison, a typical Journal of Economic Theory article is .

Click here for a comparison of the axiomatic systems of Aguilar, Debreu and Kolmogorov.

"I do not feel that this article [Arrow and Debreu, 1954] should go unchallenged before the readers of Econometrica. Otherwise, economists will accept its conclusions at face value and quote it in substantiation of other arguments, perhaps ones of economic policy affecting all of us."

  Cecil Phipps
the only referee with a mathematical background
"We understand that it is very delicate to suppress any scientific criticism..."

  Arrow and Debreu
refering to Phipps' criticism, which was suppressed