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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20062
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If a desire leads to a satisfactory result by an odd route, the causal theory looks wrong [Chisholm]
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Full Idea:
If someone wants to kill his uncle to inherit a fortune, and having this desire makes him so agitated that he loses control of his car and kills a pedestrian, who turns out to be his uncle, the conditions of the causal theory seem to be satisfied.
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From:
Roderick Chisholm (Freedom and Action [1966]), quoted by Rowland Stout - Action 6 'Deviant'
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A reaction:
This line of argument has undermined all sorts of causal theories that were fashionable in the 1960s and 70s. Explanation should lead to understanding, but a deviant causal chain doesn't explain the outcome. The causal theory can be tightened.
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20054
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There has to be a brain event which is not caused by another event, but by the agent [Chisholm]
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Full Idea:
There must be some event A, presumably some cerebral event, which is not caused by any other event, but by the agent.
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From:
Roderick Chisholm (Freedom and Action [1966], p.20), quoted by Rowland Stout - Action 4 'Agent'
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A reaction:
I'm afraid this thought strikes me as quaintly ridiculous. What kind of metaphysics can allow causation outside the natural nexus, yet occuring within the physical brain? This is a relic of religious dualism. Let it go.
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