Combining Texts

All the ideas for 'fragments/reports', 'Logic and Conversation' and 'Frege versus Cantor and Dedekind'

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13 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]
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
Conditionals are truth-functional, but we must take care with misleading ones [Grice, by Edgington]
The odd truth table for material conditionals is explained by conversational conventions [Grice, by Fisher]
Conditionals might remain truth-functional, despite inappropriate conversational remarks [Edgington on Grice]
10. Modality / B. Possibility / 8. Conditionals / f. Pragmatics of conditionals
A person can be justified in believing a proposition, though it is unreasonable to actually say it [Grice, by Edgington]
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]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]