16960
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If possibilitiy is relative, that might make accessibility non-transitive, and T the correct system [Dummett]
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Full Idea:
If some world is 'a way the world might be considered to be if things were different in a certain respect', that might show that the accessibility relation should not be taken to be transitive, and we should have to adopt modal logic T.
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From:
Michael Dummett (Could There Be Unicorns? [1983], 8)
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A reaction:
He has already rejected symmetry from the relation, for reasons concerning relative identity. He is torn between T and S4, but rejects S5, and opts not to discuss it.
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16958
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In S4 the actual world has a special place [Dummett]
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Full Idea:
In S4 logic the actual world is, in itself, special, not just from our point of view.
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From:
Michael Dummett (Could There Be Unicorns? [1983], 8)
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A reaction:
S4 lacks symmetricality, so 'you can get there, but you can't get back', which makes the starting point special. So if you think the actual world has a special place in modal metaphysics, you must reject S5?
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13282
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Aristotle relativises the notion of wholeness to different measures [Aristotle, by Koslicki]
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Full Idea:
Aristotle proposes to relativise unity and plurality, so that a single object can be both one (indivisible) and many (divisible) simultaneously, without contradiction, relative to different measures. Wholeness has degrees, with the strength of the unity.
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From:
report of Aristotle (works [c.330 BCE]) by Kathrin Koslicki - The Structure of Objects 7.2.12
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A reaction:
[see Koslicki's account of Aristotle for details] As always, the Aristotelian approach looks by far the most promising. Simplistic mechanical accounts of how parts make wholes aren't going to work. We must include the conventional and conceptual bit.
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