Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Metaphysical conseqs of principle of reason' and 'Beitrage'

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7 ideas

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 / 6. Fundamentals / c. Monads

5060	All substances analyse down to simple substances, which are souls, or 'monads' [Leibniz]

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]

18. Thought / E. Abstraction / 2. Abstracta by Selection

9145	We form the image of a cardinal number by a double abstraction, from the elements and from their order [Cantor]

26. Natural Theory / C. Causation / 3. Final causes

5059	Power rules in efficient causes, but wisdom rules in connecting them to final causes [Leibniz]