Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Proof of an External World' and 'Aristotle on Substance'

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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 / C. Structure of Objects / 3. Matter of an Object
Aristotelian matter seriously threatens the intrinsic unity and substantiality of its object [Gill,ML]
11. Knowledge Aims / B. Certain Knowledge / 2. Common Sense Certainty
I can prove a hand exists, by holding one up, pointing to it, and saying 'here is one hand' [Moore,GE]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter
Prime matter has no place in Aristotle's theories, and passages claiming it are misread [Gill,ML]
Prime matter is actually nothing and potentially everything (or potentially an element) [Gill,ML]