Return to Table of Contents - Paradoxes

• Mind Over Mathematics: Elementary Arithmetic
  • Series Introduction, by Nancy Spannaus
    
  • Mind Over Mathematics Part I: Thinking Outside the Rules, by Bruce Director -- (Gauss' Method for Adding 1-100; The New Federalist Vol. XI #9; 3/10/97
    
  • Mind Over Mathematics Part II: Thinking Outside the Rules, by Bruce Director -- (Gauss' Method for Adding 1-100; The New Federalist Vol. XI #10; 3/13/97
    
  • Odd and Even Numbers (Thank God for The Odd One, by Bruce Director
    
  • Number, Space, and Mind, by Laurence Hecht

• Mind Over Mathematics: Prime Numbers
  
  • Introduction to Prime Numbers, by Bruce Director, The New Federalist Vol. XI #11, March 17, 1997
    
  • Complex Prime Numbers, by Bruce Director, The New Federalist, Vol. XI #12, March 24, 1997

• Mind Over Mathematics: Higher Arithmetic
  
  • Introduction to Modular Arithmetic, Part 1 (How Your Days Are Numbered), by Bruce Director
    
  • Introduction to Modular Arithmetic, Part 2 (Don't Count Your Chickens, Unless They're Hot), by Bruce Director

• Mind Over Mathematics: Higher Arithmetic -- Calendar, Part I
  • Higher Arithmetic As A Machine Tool, Part I, by Bruce Director -- Gauss' Determination of the Easter Date
    
  • Higher Arithmetic As A Machine Tool, Part II, by Bruce Director -- Gauss' Determination of the Easter Date

• Mind Over Mathematics: Higher Arithmetic -- Calendar, Part II
  • Mind Over Mathematics: How Gauss Determined The Date of His Birth, Conference Presentation by Bruce Director, The American Almanac, April 7, 1997.
• Mind Over Mathematics: Higher Arithmetic -- Calendar, Part III
  • Astronomy and Number -- Part I, by Jonathan Tennenbaum
    
  • Astronomy and Number -- Part II, by Jonathan Tennenbaum

• Mind Over Mathematics: Higher Arithmetic--Metaphysics
  The Epinomis and the Complex Domain. A Fragmentary Dialogue -- The Simultaneity of Eternity.

• Mind Over Mathematics: Higher Arithmetic--Residues of Powers, by Bruce Director
  • Beyond Counting--A Preparatory Experiment
    
  • Residues of Powers

• Mind Over Mathematics: Geometric Numbers
  
  • Curvature of Rectangular Numbers, Part 1, by Jonathan Tennenbaum
    
  • Curvature of Rectangular Numbers, Part 2, by Jonathan Tennenbaum
    
  • Polygonal Numbers (The Prisoner and the Polygon), by Bruce Director
    
  • Geometric Numbers (Prisoner and Professor), by Bruce Director

• Mind Over Mathematics: Classical Greek Geometry, by Sylvia Brewda
  
  • The Meno Part 1, The New Federalist, Vol. XI #14 April 14, 1997
    
  • The Meno: How Socrates Resolves the Paradox, The New Federalist, Vol. XI #15, April 21, 1997
    
  • Doubling the Square and Proving the Pythagorean Theorem, The New Federalist, Vol. XI #16, April 28, 1997.

• Mind Over Mathematics: Incommensurability
  
  • Incommensurability and Analysis Situs, Part 1, by Jonathan Tennenbaum, The New Federalist, Vol. XI #22, June 9, 1997
    
  • Incommensurability and Analysis Situs, Part 2, by Jonathan Tennenbaum, The New Federalist, Vol. XI #23, June 16, 1997
    
  • Circular Action and the Fallacy of Linearity in the Small, Part 1, by Jonathan Tennenbaum, The New Federalist, Vol. XI #25, June 30l 1997
    
  • Circular Action and the Fallacy of Linearity in the Small, Part 2, by Jonathan Tennenbaum, The New Federalist, Vol. XI #26, July 7, 1997
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  • Does Linearity Exist At All?, by Phil Rubenstein.

• Mind Over Mathematics: The Golden Section
  
  • Divine Proportion as a Principle in Machine Tool Design, Part 1, , by Jonathan Tennenbaum, The New Federalist, Vol. XI #28, July 21, 1997
    
  • Divine Proportion as a Principle in Machine Tool Design, Part 2, , by Jonathan Tennenbaum, The New Federalist, Vol. XI #29, July 28, 1997
    
  • Demystify the Golden Section, Part 1, by Jonathan Tennenbaum
    
  • Demystify the Golden Section, Part 2, by Jonathan Tennenbaum

• Mind Over Mathematics: Physical Geometry
  
  • Measurement and Divisibility, Part 1, by Bruce Director
    
  • Measurement and Divisibility, Part 2, by Bruce Director
    
  • Measurement and Divisibility, Part 3, by Bruce Director
    

• Mind Over Mathematics: Ancient Astronomy
  
  • Thales, Part 1, by Pierre Beaudry
    
  • Thales, Part 2, by Pierre Beaudry
    
  • Thales, Part 3, by Pierre Beaudry
    
  • The Simplest Discovery, Part 1, by Jonathan Tennenbaum
    
  • The Simplest Discovery, Part 2, by Jonathan Tennenbaum

• Mind Over Mathematics: Kepler's Astronomy
  
  • How Kepler Changed The Laws of the Universe, Part I, by Jonathan Tennenbaum
    
  • How Kepler Changed The Laws of the Universe, Part II, by Jonathan Tennenbaum
    
  • How Kepler Changed The Laws of the Universe, Part III, by Jonathan Tennenbaum
    
  • How Kepler Changed The Laws of the Universe, Part II, by Jonathan Tennenbaum
    
  • How Kepler Changed The Laws of the Universe, Part III, by Jonathan Tennenbaum
    

• Mind Over Mathematics: Determination of the Orbit of Ceres
  
  • Gauss' Determination of the Orbit of Ceres, Introduction, by Bruce Director, The American Almanac, December 15, 1997.
    
  • Gauss' Determination of the Orbit of Ceres, Part 1, by Jonathan Tennenbaum, The American Almanac, December 22, 1997.
    
  • Gauss' Determination of the Orbit of Ceres, Part 2, by Jonathan Tennenbaum

• Mind Over Mathematics: Measurement: Measurement is Hypothesis, by Laurence Hecht

• Mind Over Mathematics: Dynamics-Leibniz
  
  • Motion is not Simple Part 1, by Jonathan Tennenbaum
    
  • Motion is not Simple Part 2, by Jonathan Tennenbaum