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Examples
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We should begin here by reviewing two related aspects: the roots of Dedekind's number-theoretic investigations in the works of Gauss, Dirichlet, and Ernst Eduard Kummer; and the contrast between Dedekind's approach in this area and that of Leopold Kronecker.
Dedekind's Contributions to the Foundations of Mathematics Reck, Erich 2008
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He also had further interactions with important mathematicians; thus, he was in correspondence with Georg Cantor, collaborated with Heinrich Weber, and developed an intellectual rivalry with Leopold Kronecker.
Dedekind's Contributions to the Foundations of Mathematics Reck, Erich 2008
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His mathematics teachers there included Leopold Kronecker and Carl Weierstrass, whose scientific ethos Husserl was particularly impressed with.
Edmund Husserl Beyer, Christian 2007
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With this, too, constructivistic criticism of set theory began to emerge, as Leopold Kronecker started to make objections to such infinitary procedures.
The Early Development of Set Theory Ferreirós, José 2007
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Leopold Kronecker is quoted as saying "God made the natural numbers, all the rest is the work of man."
Mathematics and God Cliff Pickover 2006
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Leopold Kronecker is quoted as saying "God made the natural numbers, all the rest is the work of man."
Archive 2006-12-01 Cliff Pickover 2006
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So this morning, when I read a quote by some cat named Leopold Kronecker, it looked like this:
weapons of massdistraction › Proof That God Doesn’t Exist 2004
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Many mathematicians in the nineteenth century were willing to assume the former; a well-known example is Leopold Kronecker, for whom the natural numbers are “given by God” while the rest of arithmetic and analysis is “made by mankind” (Ferreirós 1999, ch.
Dedekind's Contributions to the Foundations of Mathematics Reck, Erich 2008
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"When the great mathematician Leopold Kronecker wrote his famous dictum," God created the integers; all else is the work of man ", he meant that the basic structure of mathematics is part of the design of the universe.
QuestionCopyright.org dannyc 2010
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"When the great mathematician Leopold Kronecker wrote his famous dictum," God created the integers; all else is the work of man ", he meant that the basic structure of mathematics is part of the design of the universe.
QuestionCopyright.org dannyc 2010
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