Combining Texts
Ideas for
'On the Question of Absolute Undecidability', 'Philosophy of Mathematics' and 'The Origin of the Work of Art'
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4 ideas
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10885
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Computer proofs don't provide explanations [Horsten]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17887
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PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
17891
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Arithmetical undecidability is always settled at the next stage up [Koellner]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10881
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The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
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