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Ideas for 'Axiomatic Theories of Truth', 'The Logic of Decision' and 'Intuitionism and Formalism'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics

12451

Scientific laws largely rest on the results of counting and measuring [Brouwer]

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

16321

The compactness theorem can prove nonstandard models of PA [Halbach]

16343

The global reflection principle seems to express the soundness of Peano Arithmetic [Halbach]

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory

16312

To reduce PA to ZF, we represent the non-negative integers with von Neumann ordinals [Halbach]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory

16308

Set theory was liberated early from types, and recent truth-theories are exploring type-free [Halbach]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism

12454

Intuitionists only accept denumerable sets [Brouwer]

12453

Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]