18084
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When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
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Full Idea:
When the values successively attributed to the same variable approach indefinitely a fixed value, eventually differing from it by as little as one could wish, that fixed value is called the 'limit' of all the others.
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From:
Augustin-Louis Cauchy (Cours d'Analyse [1821], p.19), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.4
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A reaction:
This seems to be a highly significan proposal, because you can now treat that limit as a number, and adds things to it. It opens the door to Cantor's infinities. Is the 'limit' just a fiction?
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23224
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That all matter thinks is absurd, and would make each part of our bodies a distinct self-consciousness [Bentley]
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Full Idea:
[Belief in thinking matter] leads to monstrous absurdities. …Every stock and stone would be a percipient and rational creature. …every single Atom of our bodies would be a distinct Animal, endued with self-consciousness and personal sensation of its own.
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From:
Richard Bentley (Matter and Motion Cannot Think [1692], p.14-15), quoted by Matthew Cobb - The Idea of the Brain 2
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A reaction:
Sounds correct, though presumably panpsychists don't think the flickers of consciousness in my toenails and hair constitute full-blown persons. I can't imagine what awareness is being claimed for my toenails.
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7535
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If all beliefs are propositional, then belief and judgement are the same thing [Monk]
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Full Idea:
Whether the words 'belief' and 'judgement' mean the same thing is a moot point. Traditionally, a judgement is the assent of mind to a proposition. If one thinks that all beliefs are propositional, then beliefs and judgements are the same thing.
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From:
Ray Monk (Bertrand Russell: Spirit of Solitude [1996], Ch.19 n6)
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A reaction:
If I think I have put a bit too much toothpaste on my brush, that strikes me as a non-propositional judgement, even though it could be spelled out as a proposition. But it also strikes me as a belief.
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6850
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Wittgenstein pared his life down in his search for decency [Monk]
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Full Idea:
One of the most conspicuous things about Wittgenstein is that, on the ethics side, he pared his life down to the minimum, so as to make as central as possible his search for decency, the drive to be a decent person.
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From:
Ray Monk (Interview with Baggini and Stangroom [2001], p.14)
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A reaction:
It rather looks as if decency was quite an effort for him, as he had a rather waspish temperament, and people found it hard to get close to him. On the whole, though, he sounds like good company, as do nearly all the great philosophers.
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