Combining Texts

All the ideas for 'Frege versus Cantor and Dedekind', 'Abduction and Induction' and 'works'

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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]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
To be is to have causal powers [Alexander,S]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
'Abduction' is beginning a hypothesis, particularly if it includes preference of one explanation over others [Peirce]
Abduction involves original suggestions, and not just the testing involved in induction [Peirce]
17. Mind and Body / A. Mind-Body Dualism / 6. Epiphenomenalism
Epiphenomenalism makes the mind totally pointless [Alexander,S]
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]