8717
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Hilbert wanted to prove the consistency of all of mathematics (which realists take for granted) [Hilbert, by Friend]
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Full Idea:
Hilbert wanted to derive ideal mathematics from the secure, paradox-free, finite mathematics (known as 'Hilbert's Programme'). ...Note that for the realist consistency is not something we need to prove; it is a precondition of thought.
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From:
report of David Hilbert (works [1900], 6.7) by Michčle Friend - Introducing the Philosophy of Mathematics
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A reaction:
I am an intuitive realist, though I am not so sure about that on cautious reflection. Compare the claims that there are reasons or causes for everything. Reality cannot contain contradicitions (can it?). Contradictions would be our fault.
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19261
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Understanding is seeing coherent relationships in the relevant information [Kvanvig]
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Full Idea:
What is distinctive about understanding (after truth is satisfied) is the internal seeing or appreciating of explanatory and other coherence-inducing relationships in a body of information that is crucial for understanding.
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From:
Jonathan Kvanvig (The Value of Knowledge and the Pursuit of Understanding [2003], 198), quoted by Anand Vaidya - Understanding and Essence 'Distinction'
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A reaction:
For me this ticks exactly the right boxes. Coherent explanations are what we want. The hardest part is the ensure their truth. Kvanvig claims this is internal, so we can understand even if, Gettier-style, our external connections are lucky.
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23059
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Self-interest is not rational, if the self is just a succession of memories and behaviour [Sidgwick, by Gray]
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Full Idea:
Sidgwick said self-interest is not self-evidently rational. Unless we invoke a religious idea of the soul, human personality is no more than a succession of continuities in memory and behaviour. In that case, why should anyone favour their future self?
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From:
report of Henry Sidgwick (The Methods of Ethics (7th edn) [1874]) by John Gray - Seven Types of Atheism 2
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A reaction:
This sounds like Locke's account of the self, as psychological continuity. We can say that our continuous self is a fiction, the hero of our own narrative. Personally I think of the self as a sustained set of brains structures which change very little.
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4129
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It is self-evident (from the point of view of the Universe) that no individual has more importance than another [Sidgwick]
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Full Idea:
It is a self-evident principle that the good of one individual is of no more importance, from the point of view of the Universe, than the good of any other, ..and as a rational being I am bound to aim at good generally, not merely at a particular part.
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From:
Henry Sidgwick (The Methods of Ethics (7th edn) [1874], III.XIII.3)
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A reaction:
Showing that even a very empirical theory like utilitarianism has an a priori basis. Of course, the principle is false. What about animals, the senile, criminals, androids? What bestows 'importance'?
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