Combining Texts
Ideas for
'Logical Consequence', 'Contemporary Philosophy of Mind' and 'Frege Philosophy of Language (2nd ed)'
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4 ideas
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10692
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Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
10554
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Intuitionists find the Incompleteness Theorem unsurprising, since proof is intuitive, not formal [Dummett]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
3143
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Physics requires the existence of properties, and also the abstract objects of arithmetic [Rey]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
10552
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Intuitionism says that totality of numbers is only potential, but is still determinate [Dummett]
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