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'Set Theory', 'Plurals and Complexes' and 'works'
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5 ideas
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
10674
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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
17885
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Gödel eventually hoped for a generalised completeness theorem leaving nothing undecidable [Gödel, by Koellner]
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10614
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The real reason for Incompleteness in arithmetic is inability to define truth in a language [Gödel]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10681
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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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