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. 2009 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