Combining Texts
Ideas for
'On the Question of Absolute Undecidability', 'The Statesman' and 'A Survey of Metaphysics'
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5 ideas
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
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4240
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It might be argued that mathematics does not, or should not, aim at truth [Lowe]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
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17890
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There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
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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
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17891
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Arithmetical undecidability is always settled at the next stage up [Koellner]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
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4241
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If there are infinite numbers and finite concrete objects, this implies that numbers are abstract objects [Lowe]
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