Combining Philosophers

All the ideas for William W. Tait, James Rachels and Arthur C. Danto

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14 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]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Mathematics must be based on axioms, which are true because they are axioms, not vice versa [Tait, by Parsons,C]
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 / B. Nature of Art / 6. Art as Institution
A thing is only seen as art in an 'artworld', which has a theory and a history [Danto]
An ordinary object can be a work of art, but only if some theory of art supports it [Danto]
25. Social Practice / F. Life Issues / 2. Euthanasia
If it is desirable that a given patient die, then moral objections to killing them do not apply [Rachels]
It has become normal to consider passive euthanasia while condemning active euthanasia [Rachels]
28. God / B. Proving God / 2. Proofs of Reason / c. Moral Argument
God must be fit for worship, but worship abandons morally autonomy, but there is no God [Rachels, by Davies,B]