Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'The Actual and the Possible' and 'Proof that every set can be well-ordered'

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

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6 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / e. Countable infinity

15897

Zermelo realised that Choice would facilitate the sort of 'counting' Cantor needed [Zermelo, by Lavine]

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]

10. Modality / C. Sources of Modality / 5. Modality from Actuality

12468

A state of affairs is only possible if there has been an actual substance to initiate it [Pruss]