9456
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Modal logic is multiple systems, shown in the variety of accessibility relations between worlds [Jacquette]
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Full Idea:
Modal logic by its very nature is not monolithic, but fragmented into multiple systems of modal qualifications, reflected in the plurality of accessibility relations on modal model structures or logically possible worlds.
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From:
Dale Jacquette (Intro to 'Philosophy of Logic' [2002], §3)
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A reaction:
He implies the multiplicity is basic, and is only 'reflected' in the relations, but maybe the multiplicity is caused by incompetent logicians who can't decide whether possible worlds really are reflexive or symmetrical or transitive in their relations.
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9459
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Extensionalist semantics is circular, as we must know the extension before assessing 'Fa' [Jacquette]
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Full Idea:
Extensional semantics is blatantly circular. For 'Fa' to be interpreted as true, we must know that object a belongs to the extension of the predicate F, so we must already know which objects belong to the extension.
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From:
Dale Jacquette (Intro to 'Philosophy of Logic' [2002], §4)
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A reaction:
I'm delighted to read this, because it was the first thought that occurred to me when I encountered the theory. Presumably this leads Quine to take predication as basic, because you can't break into the circle. Or, vote for intensionalism?
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22454
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We tolerate inconsistency in ethics but not in other beliefs (which reflect an independent order) [Williams,B, by Foot]
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Full Idea:
Williams argued that we can tolerate inconsistency in moral principles though not in assertions, and that this is explained by the fact that it is the concern of the latter but not of the former to reflect an 'independent order of things'.
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From:
report of Bernard Williams (Consistency and realism (with 1972 note) [1966]) by Philippa Foot - Moral Realism and Moral Dilemma p.37
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A reaction:
Put like this, Williams seems to beg the question, which is whether there is an independent moral order to things. There seems to be an easy answer, which is that we are only intolerant of inconsistency when we are confident about it.
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5994
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Is the cosmos open or closed, mechanical or teleological, alive or inanimate, and created or eternal? [Robinson,TM, by PG]
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Full Idea:
The four major disputes in classical cosmology were whether the cosmos is 'open' or 'closed', whether it is explained mechanistically or teleologically, whether it is alive or mere matter, and whether or not it has a beginning.
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From:
report of T.M. Robinson (Classical Cosmology (frags) [1997]) by PG - Db (ideas)
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A reaction:
A nice summary. The standard modern view is closed, mechanistic, inanimate and non-eternal. But philosophers can ask deeper questions than physicists, and I say we are entitled to speculate when the evidence runs out.
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