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Tractatus Logico-Philosophicus
mobi |eng | 2010-07-30 | Author:Ludwig Wittgenstein

* * * 6. The general form of a truth-function is [p, E, N(E)]. This is the general form of a proposition. 6.001 What this says is just that every ...
( Category: Pragmatism May 30,2015 )
Infinity and the Mind by Rucker Rudy
epub, pdf |eng | 2013-05-27 | Author:Rucker, Rudy

THE LIAR PARADOX AND THE NON-MECHANIZABILITY OF MATHEMATICS Let us now return to the idea of a theorem-listing machine, a finitely described device that prints out an endless list of ...
( Category: Logic May 28,2015 )
Math on Trial by Leila Schneps
epub |eng | 2015-05-21 | Author:Leila Schneps [Schneps, Leila;Colmez, Coralie]

Lucia de Berk It was not enough for Lucia to be banned from her job and her livelihood, and to be under suspicion of unspeakable crimes. She was painted as ...
( Category: Probability & Statistics May 25,2015 )
The History of Mathematics: A Very Short Introduction by Stedall Jacqueline
epub, mobi |eng | 2012-02-01 | Author:Stedall, Jacqueline [Stedall, Jacqueline]

4. The front page of Robert Smith’s arithmetic book, Greenrow Academy, 1832 The Hersee collection includes five mathematical workbooks by Robert Smith from the years 1832 and 1833 (see Figure ...
( Category: History May 11,2015 )
A History of Mathematics by Carl B. Boyer & Carl B. Boyer
epub |eng | 2010-12-24 | Author:Carl B. Boyer & Carl B. Boyer

Georg Mohr Lahire was not the only geometer of the time to be unappreciated. In 1672, the Danish mathematician Georg Mohr (1640–1697) published an unusual book titled Euclides danicus, in ...
( Category: Calculus May 11,2015 )
Why Beauty is Truth by Ian Stewart
mobi, epub |eng | 0101-01-01 | Author:Ian Stewart

If you’re thinking that this sounds a bit like attempts to solve the quintic, you’re onto something. If many capable mathematicians try something and fail, it is conceivable that it ...
( Category: History April 5,2015 )
Mathematics without Apologies by Harris Michael
epub |eng | 2015-03-25 | Author:Harris, Michael [Harris, Michael]

Figure 8.1. A reconstruction of one of the less elaborate slides from Modern Algebra and the Object/Operation duality in music, a presentation by Moreno Andreatta, Music Representations Team, IRCAM/CNRS. The ...
( Category: History March 31,2015 )
Finding Zero by Amir D. Aczel
epub |eng | 2014-11-05 | Author:Amir D. Aczel

Andy Brouwer on one of his jungle adventures in Cambodia. “How would you go about looking for K-127?” I asked Andy when he finished his story. “I have some connections,” ...
( Category: Counting & Numeration March 22,2015 )
Introduction to Mathematical Philosophy by Bertrand Russell
epub, pdf |eng | | Author:Bertrand Russell [Russell, Bertrand]

CHAPTER XII: SELECTIONS AND THE MULTIPLICATIVE AXIOM [page 117] In this chapter we have to consider an axiom which can be enunciated, but not proved, in terms of logic, and ...
( Category: Logic March 9,2015 )
Introduction to Mathematical Thinking by Devlin Keith
mobi, epub |eng | 2012-07-18 | Author:Devlin, Keith [Devlin, Keith]

We would read this as “For all real numbers x, the square of x is greater than or equal to 0.” Most statements in mathematics involve combinations of both kinds ...
( Category: History March 7,2015 )
Exploring the World of Mathematics by Tiner John Hudson
epub |eng | 2004-05-31 | Author:Tiner, John Hudson [Tiner, John Hudson]

Suppose you start making fractions of pairs of Fibonacci numbers 1/1, 2/1, 3/2, 5/3, 8/5, 13/8, 21/13 and so on. Written as decimal numbers, the fractions are 1.000, 2.000, 1.500, ...
( Category: History March 6,2015 )
The Theory That Would Not Die by Sharon Bertsch McGrayne
epub |eng | 2011-05-17 | Author:Sharon Bertsch McGrayne [McGrayne, Sharon Bertsch]

13. the cold warrior The Federalist project impressed the still small world of professional statisticians, but John Tukey, a star from the world of Cold War spying, would give Bayes’ ...
( Category: Probability & Statistics February 5,2015 )
Mathematics is About the World: How Ayn Rand's Theory of Concepts Unlocks the False Alternatives Between Plato's Mathematical Universe and Hilbert's Game of Symbols by Knapp Robert
epub |eng | 2014-12-02 | Author:Knapp, Robert [Knapp, Robert]

Final Comments Dedekind’s work, and Cantor’s use of Cauchy sequences, properly interpreted, exhibited the relationship of irrational numbers to rational numbers and gave meaning to the operations of arithmetic as ...
( Category: History January 30,2015 )
From 0 to Infinity in 26 Centuries by Chris Waring
epub |eng | | Author:Chris Waring [Waring, Chris]

The name of the picture harks back to a Roman architect called Vitruvius. He believed the proportions of the human body are naturally pleasing to the eye, which led him ...
( Category: History January 29,2015 )
Five Equations That Changed the World by Michael Guillen
epub |eng | | Author:Michael Guillen

VICI On February 29, 1812, Faraday leapt up the stone steps and rushed through the heavy doors of London’s Royal Institution. Symbolically, it was like the storming of Bastille, except ...
( Category: History January 26,2015 )

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