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All the ideas for 'Review of Bob Hale's 'Abstract Objects'', 'Essence and Accident' and 'Concepts and Counting'

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10 ideas

1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
We can't presume that all interesting concepts can be analysed [Williamson]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
A single object must not be counted twice, which needs knowledge of distinctness (negative identity) [Rumfitt]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Some 'how many?' answers are not predications of a concept, like 'how many gallons?' [Rumfitt]
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 / b. Dispositions and powers
The real essence of a thing is its powers, or 'dispositional properties' [Copi]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
Essential properties are the 'deepest' ones which explain the others [Copi, by Rami]
9. Objects / D. Essence of Objects / 13. Nominal Essence
In modern science, nominal essence is intended to be real essence [Copi]
9. Objects / E. Objects over Time / 11. End of an Object
Within the four types of change, essential attributes are those whose loss means destruction [Copi]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
Modern science seeks essences, and is getting closer to them [Copi]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
Real essences are scientifically knowable, but so are non-essential properties [Copi]