Combining Texts

All the ideas for 'Saundaranandakavya', 'works' and 'An Axiomatization of Set Theory'

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6 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy

7910	Pursue truth with the urgency of someone whose clothes are on fire [Ashvaghosha]
	Full Idea: As though your turban or your clothes were on fire, so with a sense of urgency should you apply your intellect to the comprehension of the truths.
	From: Ashvaghosha (Saundaranandakavya [c.50], XVI)
	A reaction: The best philosophers need no such urging. I retain a romantic view that we should be 'natural' in these things. See Plato's views in Idea 2153 and 1638. However, maybe I should be confronted with this quotation every morning when I awake.

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size

15943	Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann]
	Full Idea: Von Neumann's Limitation of Size axiom is not self-evident, and he himself admitted that it seemed too strong.
	From: comment on John von Neumann (An Axiomatization of Set Theory [1925]) by Shaughan Lavine - Understanding the Infinite VII.1

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory

13672	All the axioms for mathematics presuppose set theory [Neumann]
	Full Idea: There is no axiom system for mathematics, geometry, and so forth that does not presuppose set theory.
	From: John von Neumann (An Axiomatization of Set Theory [1925]), quoted by Stewart Shapiro - Foundations without Foundationalism 8.2
	A reaction: Von Neumann was doubting whether set theory could have axioms, and hence the whole project is doomed, and we face relativism about such things. His ally was Skolem in this.

23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues

20239	Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]
	Full Idea: Hesiod reckons envy among the effects of the good and benevolent Eris, and there was nothing offensive in according envy to the gods. ...Likewise the Greeks were different from us in their evaluation of hope: one felt it to be blind and malicious.
	From: report of Hesiod (works [c.700 BCE]) by Friedrich Nietzsche - Dawn (Daybreak) 038
	A reaction: Presumably this would be understandable envy, and unreasonable hope. Ridiculous envy can't possibly be good, and modest and sensible hope can't possibly be bad. I suspect he wants to exaggerate the relativism.

29. Religion / C. Spiritual Disciplines / 3. Buddhism

7909	The Eightfold Path concerns morality, wisdom, and tranquillity [Ashvaghosha]
	Full Idea: The Eightfold Path has three steps concerning morality - right speech, right bodily action, and right livelihood; three of wisdom - right views, right intentions, and right effort; and two of tranquillity - right mindfulness and right concentration.
	From: Ashvaghosha (Saundaranandakavya [c.50], XVI)
	A reaction: Most of this translates quite comfortably into the aspirations of western philosophy. For example, 'right effort' sounds like Kant's claim that only a good will is truly good (Idea 3710). The Buddhist division is interesting for action theory.

29. Religion / D. Religious Issues / 2. Immortality / d. Heaven

7908	At the end of a saint, he is not located in space, but just ceases to be disturbed [Ashvaghosha]
	Full Idea: When an accomplished saint comes to the end, he does not go anywhere down in the earth or up in the sky, nor into any of the directions of space, but because his defilements have become extinct he simply ceases to be disturbed.
	From: Ashvaghosha (Saundaranandakavya [c.50], XVI)
	A reaction: To 'cease to be disturbed' is the most attractive account of heaven I have encountered. It all sounds a bit dull though. I wonder, as usual, how they know all this stuff.