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'Axiomatic Theories of Truth', 'The Logic of Decision' and 'Truth by Convention'
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7 ideas
6. Mathematics / A. Nature of Mathematics / 2. Geometry
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8994
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If analytic geometry identifies figures with arithmetical relations, logicism can include geometry [Quine]
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6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
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8997
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There are four different possible conventional accounts of geometry [Quine]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
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16321
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The compactness theorem can prove nonstandard models of PA [Halbach]
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16343
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The global reflection principle seems to express the soundness of Peano Arithmetic [Halbach]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
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16312
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To reduce PA to ZF, we represent the non-negative integers with von Neumann ordinals [Halbach]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
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8993
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If mathematics follows from definitions, then it is conventional, and part of logic [Quine]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
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16308
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Set theory was liberated early from types, and recent truth-theories are exploring type-free [Halbach]
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