Combining Philosophers

All the ideas for Augustin-Louis Cauchy, Richard Bentley and Ray Monk

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6 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason

6851	We overvalue whether arguments are valid, and undervalue whether they are interesting [Monk]
	Full Idea: We encourage students to be concerned with whether an argument is valid or not, and we don't encourage them much to consider the question of whether the argument is interesting or not.
	From: Ray Monk (Interview with Baggini and Stangroom [2001], p.16)
	A reaction: What do you make of arguments which are very interesting, but (unfortunately) totally invalid? That said, this is a nice comment. A philosopher cannot contemplate too long or too deeply on the question of what is really 'interesting'.

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals

18085	Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
	Full Idea: When the successive absolute values of a variable decrease indefinitely in such a way as to become less than any given quantity, that variable becomes what is called an 'infinitesimal'. Such a variable has zero as its limit.
	From: Augustin-Louis Cauchy (Cours d'Analyse [1821], p.19), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.4
	A reaction: The creator of the important idea of the limit still talked in terms of infinitesimals. In the next generation the limit took over completely.

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits

18084	When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
	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.
	From: Augustin-Louis Cauchy (Cours d'Analyse [1821], p.19), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.4
	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?

17. Mind and Body / A. Mind-Body Dualism / 3. Panpsychism

23224	That all matter thinks is absurd, and would make each part of our bodies a distinct self-consciousness [Bentley]
	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.
	From: Richard Bentley (Matter and Motion Cannot Think [1692], p.14-15), quoted by Matthew Cobb - The Idea of the Brain 2
	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.

18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement

7535	If all beliefs are propositional, then belief and judgement are the same thing [Monk]
	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.
	From: Ray Monk (Bertrand Russell: Spirit of Solitude [1996], Ch.19 n6)
	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.

22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / c. Purpose of ethics

6850	Wittgenstein pared his life down in his search for decency [Monk]
	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.
	From: Ray Monk (Interview with Baggini and Stangroom [2001], p.14)
	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.