Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'The Problem of Natural Laws' and 'Neutral Relations'

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10 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]
8. Modes of Existence / A. Relations / 1. Nature of Relations
14217 The 'standard' view of relations is that they hold of several objects in a given order [Fine,K]
14216 The 'positionalist' view of relations says the number of places is fixed, but not the order [Fine,K]
14218 A block on top of another contains one relation, not both 'on top of' and 'beneath' [Fine,K]
14219 Language imposes a direction on a road which is not really part of the road [Fine,K]
14220 Explain biased relations as orderings of the unbiased, or the unbiased as permutation classes of the biased? [Fine,K]
26. Natural Theory / D. Laws of Nature / 3. Laws and Generalities
4800 Natural laws result from eliminative induction, where enumerative induction gives generalisations [Cohen,LJ, by Psillos]