Combining Texts

Ideas for 'Lectures on the History of Philosophy', 'Philosophy of Mathematics' and 'Truth by Convention'

expand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts

---

7 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry

8994	If analytic geometry identifies figures with arithmetical relations, logicism can include geometry [Quine]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

8997	There are four different possible conventional accounts of geometry [Quine]

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 / C. Sources of Mathematics / 6. Logicism / a. Early logicism

8993	If mathematics follows from definitions, then it is conventional, and part of logic [Quine]

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]