Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'The Scientific Image' and 'The Rationalists'

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12 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 / B. Unity of Objects / 2. Substance / c. Types of substance
Descartes says there are two substance, Spinoza one, and Leibniz infinitely many [Cottingham]
10. Modality / A. Necessity / 11. Denial of Necessity
Empiricists deny what is unobservable, and reject objective modality [Fraassen]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
To 'accept' a theory is not to believe it, but to believe it empirically adequate [Fraassen, by Bird]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
The notion of substance lies at the heart of rationalist metaphysics [Cottingham]
14. Science / B. Scientific Theories / 2. Aim of Science
To accept a scientific theory, we only need to believe that it is empirically adequate [Fraassen]
14. Science / D. Explanation / 3. Best Explanation / c. Against best explanation
Why should the true explanation be one of the few we have actually thought of? [Fraassen, by Bird]
14. Science / D. Explanation / 4. Explanation Doubts / a. Explanation as pragmatic
An explanation is just descriptive information answering a particular question [Fraassen, by Salmon]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
For rationalists, it is necessary that effects be deducible from their causes [Cottingham]