The Space of Mathematics: Philosophical, Epistemological, and Historical ExplorationsJavier Echeverría, Andoni Ibarra, Thomas Mormann Walter de Gruyter, 1992 - 422 sider |
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Side v
... Revolutions in Mathematics ?. 205 Echeverría , J .: Observations , Problems , and Conjectures in Number Theory - The History of the Prime Number Theorem ........................ 230 Knobloch , E .: Historical Aspects of the Foundations ...
... Revolutions in Mathematics ?. 205 Echeverría , J .: Observations , Problems , and Conjectures in Number Theory - The History of the Prime Number Theorem ........................ 230 Knobloch , E .: Historical Aspects of the Foundations ...
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Innhold
The Protean Character of Mathematics | 31 |
Reduction and Explanation Science vs Mathematics | 47 |
Reality Truth and Confirmation in Mathematics | 60 |
Tacit Knowledge in Mathematical Theory | 77 |
Applying Mathematics and the Indispensibility | 115 |
Empirical Theories | 156 |
Suppes Predicates for Classical | 167 |
Mathematics in Philosophy | 192 |
Historical Aspects of the Foundations of Error Theory | 253 |
A Structuralist View of Lagranges Algebraic | 280 |
Constructivism and Objects of Mathematical Theory | 296 |
Turings Oracle From Absolute to Relative | 314 |
Computers and Mathematics The Search | 349 |
Theories and the Flow of Information | 367 |
Towards a Typology of Intertheoretical Relations | 403 |
Observations Problems and Conjectures in Number | 230 |
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Abraham Robinson abstract algebraic analytic applied approach arithmetic arithmetical mean axiomatic axioms calculus category theory Cauchy century complexity concept consider constraints defined definition differential distributive category ematical entities equation errors example finite formal formula foundations functor fundamental group Gauss geometry given idea intensive quantities interpretation intuitive knowledge Lagrange Lakatos language Leibniz linear logic manifold math mathematical objects mathematical theory mathematicians means mechanics method natural numbers Newton nonstandard analysis notion observations ontological order theories partial recursive partial recursive functional particular philosophy of mathematics philosophy of science physical theory possible predicates prime number principle problem procedure PROLOG proof question recursion theory recursive function reduction relation representation revolution scientific sense set theory set-theoretic space spacetime species of structures Suppes symbolic constructs theorem theory elements theory nets tion Turing variable