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18244
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I say the irrational is not the cut itself, but a new creation which corresponds to the cut [Dedekind]
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Full Idea:
Of my theory of irrationals you say that the irrational number is nothing else than the cut itself, whereas I prefer to create something new (different from the cut), which corresponds to the cut. We have the right to claim such a creative power.
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From:
Richard Dedekind (Letter to Weber [1888], 1888 Jan), quoted by Stewart Shapiro - Philosophy of Mathematics 5.4
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A reaction:
Clearly a cut will not locate a unique irrational number, so something more needs to be done. Shapiro remarks here that for Dedekind numbers are objects.
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8348
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If we don't assume that events exist, we cannot make sense of our common talk [Davidson]
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Full Idea:
The assumption, ontological and metaphysical, that there are events, is one without which we cannot make sense of much of our most common talk.
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From:
Donald Davidson (Causal Relations [1967], §4)
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A reaction:
He considers events to be unanalysable basics. Explanation of normal talk also needs ghosts, premonitions, telepathy and Father Christmas. It is extremely hard to individuate events, unless they are subatomic, and rather numerous.
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7903
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The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
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Full Idea:
The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
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From:
Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
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A reaction:
What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').
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10371
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Distinguish causation, which is in the world, from explanations, which depend on descriptions [Davidson, by Schaffer,J]
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Full Idea:
Davidson distinguishes between causation, an extensional relation that holds between coarse events, and explanation, which is an intensional relation that holds between the coarse events under a description.
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From:
report of Donald Davidson (Causal Relations [1967]) by Jonathan Schaffer - The Metaphysics of Causation 1.2
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A reaction:
I'm unclear why everything has to be so coarse, when reality and causal events seem to fine-grained, but the distinction strikes me as good. Explanations relate to human understanding and human interests. Cf. Anscombe's view.
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8346
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Full descriptions can demonstrate sufficiency of cause, but not necessity [Davidson]
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Full Idea:
The fuller we make the description of a cause, the better our chances of demonstrating that it was sufficient (as described) to produce the effect, and the worse our chances of demonstrating that it was necessary. (For the effect, it is the opposite).
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From:
Donald Davidson (Causal Relations [1967], §3)
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A reaction:
If the fullness of description is relevant, this suggests that Davidson is focusing on human explanations, rather than on the ontology of causation. If the cause IS necessary, why wouldn't a better description make that clearer?
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