Combining Texts

Ideas for 'On the Question of Absolute Undecidability', 'Conceptions of Truth' and 'Summa totius logicae'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity

17890

There are at least eleven types of large cardinal, of increasing logical strength [Koellner]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic

17887

PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic

17891

Arithmetical undecidability is always settled at the next stage up [Koellner]

6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival

9113	Just as unity is not a property of a single thing, so numbers are not properties of many things [William of Ockham]