Combining Texts

All the ideas for 'fragments/reports', 'Aenesidemus' and 'Review of Tait 'Provenance of Pure Reason''

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5 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX

13418	The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C]
	Full Idea: The difficulties historically attributed to the axiom of choice are probably better ascribed to the law of excluded middle.
	From: Charles Parsons (Review of Tait 'Provenance of Pure Reason' [2009], §2)
	A reaction: The law of excluded middle was a target for the intuitionists, so presumably the debate went off in that direction.

6. Mathematics / C. Sources of Mathematics / 8. Finitism

13419	If functions are transfinite objects, finitists can have no conception of them [Parsons,C]
	Full Idea: The finitist may have no conception of function, because functions are transfinite objects.
	From: Charles Parsons (Review of Tait 'Provenance of Pure Reason' [2009], §4)
	A reaction: He is offering a view of Tait's. Above my pay scale, but it sounds like a powerful objection to the finitist view. Maybe there is a finitist account of functions that could be given?

7. Existence / D. Theories of Reality / 2. Realism

22014	Consciousness is not entirely representational, because there are pains, and the self [Schulze, by Pinkard]
	Full Idea: Schulze said Reinhold and Kant violated their own theory with the thing-in-itself, and that Reinhold was wrong that all consciousnes is representational (since pain isn't), and the self can't represent itself without a regress.
	From: report of Gottlob Schulze (Aenesidemus [1792]) by Terry Pinkard - German Philosophy 1760-1860 05
	A reaction: [my compressed version] This article demolished Reinhold, which is a shame, because if he had responded constructively to these criticisms he might have reached be best theory of his age. These are analytic style objections, by counterexample.

7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems

13417	If a mathematical structure is rejected from a physical theory, it retains its mathematical status [Parsons,C]
	Full Idea: If experience shows that some aspect of the physical world fails to instantiate a certain mathematical structure, one will modify the theory by sustituting a different structure, while the original structure doesn't lose its status as part of mathematics.
	From: Charles Parsons (Review of Tait 'Provenance of Pure Reason' [2009], §2)
	A reaction: This seems to be a beautifully simple and powerful objection to the Quinean idea that mathematics somehow only gets its authority from physics. It looked like a daft view to begin with, of course.

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

468	Musical performance can reveal a range of virtues [Damon of Ath.]
	Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
	From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?