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13190
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I don't admit infinite numbers, and consider infinitesimals to be useful fictions [Leibniz]
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Full Idea:
Notwithstanding my infinitesimal calculus, I do not admit any real infinite numbers, even though I confess that the multitude of things surpasses any finite number, or rather any number. ..I consider infinitesimal quantities to be useful fictions.
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From:
Gottfried Leibniz (Letters to Samuel Masson [1716], 1716)
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A reaction:
With the phrase 'useful fictions' we seem to have jumped straight into Harty Field. I'm with Leibniz on this one. The history of mathematics is a series of ingenious inventions, whenever they seem to make further exciting proofs possible.
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21982
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I only wish I had such eyes as to see Nobody! It's as much as I can do to see real people. [Carroll,L]
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Full Idea:
"I see nobody on the road," said Alice. - "I only wish I had such eyes," the King remarked. ..."To be able to see Nobody! ...Why, it's as much as I can do to see real people."
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From:
Lewis Carroll (C.Dodgson) (Through the Looking Glass [1886], p.189), quoted by A.W. Moore - The Evolution of Modern Metaphysics 07.7
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A reaction:
[Moore quotes this, inevitably, in a chapter on Hegel] This may be a better candidate for the birth of philosophy of language than Frege's Groundwork.
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22449
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When we say 'is red' we don't mean 'seems red to most people' [Foot]
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Full Idea:
One might think that 'is red' means the same as 'seems red to most people', forgetting that when asked if an object is red we look at it to see if it is red, and not in order to estimate the reaction that others will have to it.
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From:
Philippa Foot (Moral Relativism [1979], p.23)
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A reaction:
True, but we are conscious of our own reliability as observers (e.g. if colourblind, or with poor hearing or eyesight). I don't take my glasses off, have a look, and pronounce that the object is blurred. Ordinary language philosophy in action.
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22451
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All people need affection, cooperation, community and help in trouble [Foot]
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Full Idea:
There is a great deal that all men have in common; all need affection, the cooperation of others, a place in a community, and help in trouble.
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From:
Philippa Foot (Moral Relativism [1979], p.33)
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A reaction:
There seem to be some people who don't need affection or a place in a community, though it is hard to imagine them being happy. These kind of facts are the basis for any sensible cognitivist view of ethics. They are basic to Foot's view.
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22452
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Do we have a concept of value, other than wanting something, or making an effort to get it? [Foot]
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Full Idea:
Do we know what we mean by saying that anything has value, or even that we value it, as opposed to wanting it or being prepared to go to trouble to get it?
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From:
Philippa Foot (Moral Relativism [1979], p.35)
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A reaction:
Well, I value Rembrandt paintings, but have no aspiration to own one (and would refuse it if offered, because I couldn't look after it properly). And 'we' don't want to move the Taj Mahal to London. She has not expressed this good point very well.
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