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'On the Question of Absolute Undecidability', 'The Logical Basis of Metaphysics' and 'Plurals and Complexes'
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5 ideas
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
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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 / e. Peano arithmetic 2nd-order
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A plural language gives a single comprehensive induction axiom for arithmetic [Hossack]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
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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
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In arithmetic singularists need sets as the instantiator of numeric properties [Hossack]
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10685
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Set theory is the science of infinity [Hossack]
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