Combining Texts

All the ideas for 'fragments/reports', 'Metaphysics: contemporary introduction' and 'works'

expand these ideas     |    start again     |     specify just one area for these texts

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10 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

3340	Von Neumann defines each number as the set of all smaller numbers [Neumann, by Blackburn]

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory

3355	Von Neumann wanted mathematical functions to replace sets [Neumann, by Benardete,JA]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

22716

Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone]

8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes

4483	If abstract terms are sets of tropes, 'being a unicorn' and 'being a griffin' turn out identical [Loux]

8. Modes of Existence / D. Universals / 1. Universals

4481	Austere nominalists insist that the realist's universals lack the requisite independent identifiability [Loux]

4477	Universals come in hierarchies of generality [Loux]

8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism

4482	Austere nominalism has to take a host of things (like being red, or human) as primitive [Loux]

8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta

4478	Nominalism needs to account for abstract singular terms like 'circularity'. [Loux]

9. Objects / A. Existence of Objects / 5. Individuation / c. Individuation by location

4480	Times and places are identified by objects, so cannot be used in a theory of object-identity [Loux]

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

468	Musical performance can reveal a range of virtues [Damon of Ath.]