Combining Texts

Ideas for 'The Social Contract (tr Cress)', 'A Subject with No Object' and 'Philosophy of Mathematics'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers

9923	We should talk about possible existence, rather than actual existence, of numbers [Burgess/Rosen]

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

23446

You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

23448

Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism

9925	Structuralism and nominalism are normally rivals, but might work together [Burgess/Rosen]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism

9934	Number words became nouns around the time of Plato [Burgess/Rosen]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

23441

Logical truth is true in all models, so mathematical objects can't be purely logical [Linnebo]

6. Mathematics / C. Sources of Mathematics / 7. Formalism

23442

Game Formalism has no semantics, and Term Formalism reduces the semantics [Linnebo]