Combining Texts

All the ideas for 'Frege versus Cantor and Dedekind', 'Tropes' and 'Conditionals'

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


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]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
A trope is a bit of a property or relation (not an exemplification or a quality) [Bacon,John]
Trope theory is ontologically parsimonious, with possibly only one-category [Bacon,John]
Individuals consist of 'compresent' tropes [Bacon,John]
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
There are some assertable conditionals one would reject if one learned the antecedent [Jackson, by Edgington]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Maybe possible worlds are just sets of possible tropes [Bacon,John]
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]