Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Does Conceivability Entail Possibility?' and 'Notes on Comments by Fardella'

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8 ideas

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 / B. Unity of Objects / 1. Unifying an Object / c. Unity as conceptual
To exist and be understood, a multitude must first be reduced to a unity [Leibniz]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Substances are everywhere in matter, like points in a line [Leibniz]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
Modal Rationalism: conceivability gives a priori access to modal truths [Chalmers, by Stalnaker]
Evaluate primary possibility from some world, and secondary possibility from this world [Chalmers, by Vaidya]