Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Review of Bob Hale's 'Abstract Objects'' and 'Fact, Fiction and Forecast (4th ed)'

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11 ideas

1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
We can't presume that all interesting concepts can be analysed [Williamson]
2. Reason / D. Definition / 2. Aims of Definition
Definitions concern how we should speak, not how things are [Fine,K]
5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention
If the result is bad, we change the rule; if we like the rule, we reject the result [Goodman]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Platonism claims that some true assertions have singular terms denoting abstractions, so abstractions exist [Williamson]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
Dispositions seem more ethereal than behaviour; a non-occult account of them would be nice [Goodman]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
Goodman argued that the confirmation relation can never be formalised [Goodman, by Horsten/Pettigrew]
Goodman showed that every sound inductive argument has an unsound one of the same form [Goodman, by Putnam]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
26. Natural Theory / D. Laws of Nature / 3. Laws and Generalities
We don't use laws to make predictions, we call things laws if we make predictions with them [Goodman]