Tag: mathematics

Mathematicians are machines that are unable to recognize the fact that they are machines
I am reading a Russian book about the “no computer thesis” based on the Gödel theorem. In the book there was a nice quote – see below – that somewhat close to what Bruno says. “And if such is the case, then we (qua mathematicians) are machines that are unable to recognize the fact that […]

Mathematics as the result of natural selection
“In the past decades, recent paradigm shifts in ethology, psychology, and the social sciences have given rise to various new disciplines like cognitive ethology and evolutionary psychology. These disciplines use concepts and theories of evolutionary biology to understand and explain the design, function and origin of the brain. I shall argue that there are several […]

Mathematics as Escape
Quotes from Edward Dolnick, The Clockwork Universe: Isaac Newton, the Royal Society, and the Birth of the Modern World, Chapter TwentyOne “Shuddering Before the Beautiful” ‘For the mathematically minded, the notion of glimpsing God’s plan has always exerted a hypnotic pull. The seduction is twofold. On the one hand, delving into the world’s mathematical secrets […]

Weyl on mathematics vs. reality
From Bas C van Fraassen Scientific Representation: Paradoxes of Perspective p. 208 “Herman Weyl expressed the fundamental insight as follows in 1934: ‘A science can never determine its subjectmatter expect up to isomorphic representation. The idea of isomorphism indicates the selfunderstood, insurmountable barrier of knowledge. […T]oward the “nature” of its objects science maintains complete indifference.’ […]

Gödel on the Foundations of Mathematics
Kurt Gödel (1961) The modern development of the foundations of mathematics in the light of philosophy http://www.marxists.org/reference/subject/philosophy/works/at/godel.htm “In what manner, however, is it possible to extend our knowledge of these abstract concepts, i.e., to make these concepts themselves precise and to gain comprehensive and secure insight into the fundamental relations that subsist among them, i.e., […]

Free Will and Mathematics
Alekandr Lokshin has a book Free Will and Mathematics (in Russian) http://publ.lib.ru/ARCHIVES/L/LOKSHIN_Aleksandr_Aleksandrovich/Lokshin_A.A._Svobodnaya_volya_i_matematika.(2012).pdf.zip and he has started a discussion on the everything list with an abstract of the book in English http://groups.google.com/group/everythinglist/t/276f7dffa1c88b0a Alekandr Lokshin, 27.05.2012 20:51: Alexander A. Lokshin FREE WILL AND MATHEMATICS Moscow, MAKSPress, 2012 , 40 pages (abstract) The general idea of the booklet […]

Mathematics as a part of neuroscience
Along my search on how to deal with mathematics, I have found one paper and let me start with a quote “Materialists believe that mathematical objects exist only materially, in our brains.[3] Mathematical objects are believed to correspond to physical states of our brain and, as such, should ultimately be explicable by neuroscience in terms […]

Two Mathematicians in a Bunker and Existence of Pi
Below there is a problem that I have formulated in order to understand better what is mathematics. There are two related dicussions: http://groups.google.com/group/embryophysics/t/419d3c1fec30e3b5 http://groups.google.com/group/everythinglist/t/b8d7efb597b2349a I will start first with the final version of the problem (Bruno’s comments were very helpful) and after that I will present my messages that led to the problem and the […]