Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Letter to Shumacher' and 'works'

expand these ideas     |    start again     |     specify just one area for these texts

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7 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

10855

Actual infinities are not allowed in mathematics - only limits which may increase without bound [Gauss]

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

6409	The 'simple theory of types' distinguishes levels among properties [Ramsey, by Grayling]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism

10580

Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]

6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics

10579

Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]

7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete

10577

Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]

10578

We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]

11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs

3212	Beliefs are maps by which we steer [Ramsey]