Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'The Structure of Content' and 'Steps Towards a Constructive Nominalism'

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6 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]
8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta
We renounce all abstract entities [Goodman/Quine]
11. Knowledge Aims / A. Knowledge / 4. Belief / b. Elements of beliefs
Beliefs are states of the head that explain behaviour, and also items with referential truth-conditions [McGinn]