Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'The Problem of Counterfactual Conditionals' and 'Improvement of Understanding'

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7 ideas

2. Reason / D. Definition / 2. Aims of Definition
All the intrinsic properties of a thing should be deducible from its definition [Spinoza]
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]
10. Modality / B. Possibility / 9. Counterfactuals
Counterfactuals are true if logical or natural laws imply the consequence [Goodman, by McFetridge]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
To understand the properties we must know the essence, as with a circle [Spinoza]