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· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 응용수학
· ISBN : 9783319612300
· 쪽수 : 363쪽
· 출판일 : 2017-11-22
목차
An Interview with Reuben Hersh.- Nine decades: A photographic passage .- Pluralism as modeling and as Confusion.- "Now" has an infinitesimal positive duration.- Review of How Humans Learn to Think Mathematically: Exploring the three worlds of mathematics..- Can You Say What Mathematics Is?.- The Exact Sciences and Non-Euclidean Logic.- XENOMATH!.- Cognitive Networks: Brains, Internet and Civilizations.- Reuben Hersh on the Growth of Mathematical Knowledge: Kant, Geometry and Number Theory.- Do Mathematicians have responsibilities?.- School Mathematics and "Real" Mathematics.- What is Mathematics and What Should it Be?.- Humanism about Abstract Objects.- Can something just happen to be true?.- The "Artificial Mathematician" Objection: Exploring the (im)possibility of automating mathematical understanding.- Wittgenstein, Mathematics and the Temporality of Technique.- Godel's Legacy.- Varieties of Maverick Philosophy of Mathematics.- Does reason evolve? (Does the reasoning in mathematics evolve?).- Mathematical Theories as Models.- Mathematics for makers and mathematics for users.- Case Study in Hersh's Philosophy: Bezout's Theorem.- A gift to teachers.- The Philosophy of Reuben Hersh: a non-technical assessment.- Friends and Former Comrades.- On the nature of mathematical entities.