Combining Texts

All the ideas for 'fragments/reports', 'Frege versus Cantor and Dedekind' and 'Free Will as Involving Determinism'

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


12 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Analytic philosophy focuses too much on forms of expression, instead of what is actually said [Tait]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
The null set was doubted, because numbering seemed to require 'units' [Tait]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
We can have a series with identical members [Tait]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
Determinism threatens free will if actions can be causally traced to external factors [Foot]
18. Thought / E. Abstraction / 2. Abstracta by Selection
Abstraction is 'logical' if the sense and truth of the abstraction depend on the concrete [Tait]
Cantor and Dedekind use abstraction to fix grammar and objects, not to carry out proofs [Tait]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstraction may concern the individuation of the set itself, not its elements [Tait]
18. Thought / E. Abstraction / 8. Abstractionism Critique
Why should abstraction from two equipollent sets lead to the same set of 'pure units'? [Tait]
If abstraction produces power sets, their identity should imply identity of the originals [Tait]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
Not all actions need motives, but it is irrational to perform troublesome actions with no motive [Foot]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
People can act out of vanity without being vain, or even vain about this kind of thing [Foot]