Posts Tagged ‘mathematics’

Quotes from Edward Dolnick, The Clockwork Universe: Isaac Newton, the Royal Society, and the Birth of the Modern World, Chapter Twenty-One “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 […]

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 subject-matter expect up to isomorphic representation. The idea of isomorphism indicates the self-understood, insurmountable barrier of knowledge. […T]oward the “nature” of its objects science maintains complete indifference.’ […]

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., […]

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/everything-list/t/276f7dffa1c88b0a Alekandr Lokshin, 27.05.2012 20:51: Alexander A. Lokshin FREE WILL AND MATHEMATICS Moscow, MAKS-Press, 2012 , 40 pages (abstract) The general idea of the booklet […]

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 […]

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/everything-list/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 […]

Brent has posted a couple of quotes http://groups.google.com/group/everything-list/t/1dadda0d2b84f605 “Mathematics is part of physics. Physics is an experimental science, a part of natural science. Mathematics is the part of physics where experiments are cheap.”      — Vladimir Arnold. “The duty of abstract mathematics, as I see it, is precisely to expand our capacity for hypothesizing possible ontologies.” […]

Brent has posted a link to a nice video: http://videosift.com/video/Miss-USA-2011-Should-Math-Be-Taught-In-Schools See also a short discussion after that http://groups.google.com/group/everything-list/t/08a5c40ff1f9fee0 The video is a parady on the Miss USA 2011 Interviews – Should Evolution Be Taught in Schools. Yet, it is very well done and, I guess, it shows well the attidude of the society to mathematics. […]