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PLATONISM, INTUITION
AND
THE NATURE OF MATHEMATICS

by Karlis Podnieks
Professor
Karlis.Podnieks@lu.lv
University of Latvia
Institute of Mathematics and Computer Science

This page presents the translation of the paper:

K. Podnieks. Platonism, intuition and the nature of mathematics. In: Semiotika i informatika, Moscow, VINITI, 1990, Vol. 31, pp. 150-180 (in Russian).

It was included also as the first chapter into my book "Around Goedel's theorem" published in 1992 in Russian. View copy of the Russian original.

History. The 1st edition of the book was published in 1981 in Russian (view copy of Chapter 1). In English, its concepts were first presented in 1988 at the Heyting'88 Summer School & Conference on Mathematical Logic (view copy of Abstract), after that - in 1994, on the QED mailing list, in 5 parts:

http://ftp.mcs.anl.gov/pub/qed/archive/147 #1
http://ftp.mcs.anl.gov/pub/qed/archive/148
#2
http://ftp.mcs.anl.gov/pub/qed/archive/149
#3
http://ftp.mcs.anl.gov/pub/qed/archive/151
#4
http://ftp.mcs.anl.gov/pub/qed/archive/152
#5

See Section 1 of the entire book in PDF format: Open / download PDF

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mathematics, what is mathematics, effectiveness, methodology, philosophy, foundations, formalism, Cantor, Frege, Platonism, intuition, nature, theories, axiomatic, formal, infinity, theory, Hilbert, program