Combining Texts

All the ideas for 'Symposium', 'Russell' and 'Ethics of Ambiguity'

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4 ideas

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism

6408	Russell needed three extra axioms to reduce maths to logic: infinity, choice and reducibility [Grayling]
	Full Idea: In order to deduce the theorems of mathematics from purely logical axioms, Russell had to add three new axioms to those of standards logic, which were: the axiom of infinity, the axiom of choice, and the axiom of reducibility.
	From: A.C. Grayling (Russell [1996], Ch.2)
	A reaction: The third one was adopted to avoid his 'barber' paradox, but many thinkers do not accept it. The interesting question is why anyone would 'accept' or 'reject' an axiom.

12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence

6414	Two propositions might seem self-evident, but contradict one another [Grayling]
	Full Idea: Two propositions might contradict each other despite appearing self-evident when considered separately.
	From: A.C. Grayling (Russell [1996], Ch.2)
	A reaction: Russell's proposal (Idea 5416) is important here, that self-evidence comes in degrees. If self-evidence was all-or-nothing, Grayling's point would be a major problem, but it isn't. Bonjour explores the idea more fully (e.g. Idea 3704)

22. Metaethics / B. Value / 2. Values / h. Fine deeds

5845	Niceratus learnt the whole of Homer by heart, as a guide to goodness [Xenophon]
	Full Idea: Niceratus said that his father, because he was concerned to make him a good man, made him learn the whole works of Homer, and he could still repeat by heart the entire 'Iliad' and 'Odyssey'.
	From: Xenophon (Symposium [c.391 BCE], 3.5)
	A reaction: This clearly shows the status which Homer had in the teaching of morality in the time of Socrates, and it is precisely this acceptance of authority which he was challenging, in his attempts to analyse the true basis of virtue

23. Ethics / F. Existentialism / 3. Angst

20761	If existence is absurd it can never have a meaning [Beauvoir]
	Full Idea: To declare that existence is absurd is to deny that it can ever be given a meaning; to say that it is ambiguous is to assert that its meaning is never fixed.
	From: Simone de Beauvoir (Ethics of Ambiguity [1948], p.129), quoted by Kevin Aho - Existentialism: an introduction 6 'Bad'
	A reaction: Absurdity precludes meaning, but being meaningless doesn't entail absurdity. Asteroids are meaningless. Presumably if existence is meaningless now (as in a depression), but it might possibly become meaningful, then it can't qualify as 'absurd'.