Combining Texts

All the ideas for 'fragments/reports', 'Freedom and Reason' and 'The Foundations of Mathematics'

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5 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
You would cripple mathematics if you denied Excluded Middle [Hilbert]
     Full Idea: Taking the principle of Excluded Middle away from the mathematician would be the same, say, as prohibiting the astronomer from using the telescope or the boxer from using his fists.
     From: David Hilbert (The Foundations of Mathematics [1927], p.476), quoted by Ian Rumfitt - The Boundary Stones of Thought 9.4
     A reaction: [p.476 in Van Heijenoort]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
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?
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
Moral statements are imperatives rather than the avowals of emotion - but universalisable [Hare, by Glock]
     Full Idea: According to Hare's universal prescriptivism, moral statements are closer to imperatives than to avowals of emotion; their purpose is to guide action. But unlike imeperatives they are universalisable.
     From: report of Richard M. Hare (Freedom and Reason [1963]) by Hans-Johann Glock - What is Analytic Philosophy? 2.9
     A reaction: Why isn't 'everyone ought to support West Ham' a moral judgement?
Universalised prescriptivism could be seen as implying utilitarianism [Hare, by Foot]
     Full Idea: Hare has suggested that a fairly tight form of utilitarianism can be obtained from universalised prescriptivism.
     From: report of Richard M. Hare (Freedom and Reason [1963]) by Philippa Foot - Does Moral Subjectivism Rest on a Mistake? p.191
     A reaction: All the benefits of Bentham, Kant and Hume, in one neat package! Since I take all three of them to be wrong about ethics, that counts against this idea.
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
The categorical imperative leads to utilitarianism [Hare, by Nagel]
     Full Idea: Hare has proposed that utilitarianism is the ultimate standard to which we are led by the categorical imperative.
     From: report of Richard M. Hare (Freedom and Reason [1963], p.123-4) by Thomas Nagel - Equality and Partiality
     A reaction: It seems to me better to say that Kant starts (unwittingly) from something like utilitarianism, that is, an assumption that human happiness and welfare have some sort of intrinsic value that cannot be demonstrated. Otherwise evil can be universalised.