Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Open Society and Its Enemies:Hegel and Marx' and 'works'

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7 ideas

6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
The 'simple theory of types' distinguishes levels among properties [Ramsey, by Grayling]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
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
Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Popper felt that ancient essentialism was a bar to progress [Popper, by Mautner]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Beliefs are maps by which we steer [Ramsey]