Combining Texts

All the ideas for 'fragments/reports', 'God and Human Attributes' and 'Russell'

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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)

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?

28. God / B. Proving God / 2. Proofs of Reason / c. Moral Argument

20713	God must be fit for worship, but worship abandons morally autonomy, but there is no God [Rachels, by Davies,B]
	Full Idea: Rachels argues 1) If any being is God, he must be a fitting object of worship, 2) No being could be a fitting object of worship, since worship requires the abandonment of one's role as an autonomous moral agent, so 3) There cannot be a being who is God.
	From: report of James Rachels (God and Human Attributes [1971], 7 p.334) by Brian Davies - Introduction to the Philosophy of Religion 9 'd morality'
	A reaction: Presumably Lionel Messi can be a fitting object of worship without being God. Since the problem is with being worshipful, rather than with being God, should I infer that Messi doesn't exist?