Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Conceptions of Consequence' and 'The World'

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8 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 / 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]
11. Knowledge Aims / A. Knowledge / 2. Understanding
18810 Aristotle's proofs give understanding, so it can't be otherwise, so consequence is necessary [Smiley, by Rumfitt]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
22593 Our sensation of light may not be the same as what produces the sensation [Descartes]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
16569 The Hot, Cold, Wet and Dry of the philosophers need themselves to be explained [Descartes]
27. Natural Reality / A. Classical Physics / 1. Mechanics / b. Laws of motion
20964 Descartes said there was conservation of 'quantity of motion' [Descartes, by Papineau]