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3 ideas
22437 | Logical languages are rooted in ordinary language, and that connection must be kept [Quine] |
Full Idea: A logical language is not independent of ordinary language. It has its roots in ordinary language, and these roots are not to be severed. | |
From: Willard Quine (Mr Strawson on Logical Theory [1953], V) | |
A reaction: Music to my ears. When you study logic, no one has to teach you what the words 'or' and 'if-then' mean, but they are disambiguated by the symbolism. The roots of logic are in ordinary talk of 'and', 'or' and 'not', which is the real world. |
22434 | Reduction to logical forms first simplifies idioms and grammar, then finds a single reading of it [Quine] |
Full Idea: Ordinary language is reduced to logical form in two ways: reduction of the variety of idioms and grammatical constructions, and reduction of each surviving idiom to one fixed and convenient interpretation. | |
From: Willard Quine (Mr Strawson on Logical Theory [1953], V) | |
A reaction: Is there a conflict between a 'fixed' and a 'convenient' result? By 'fixed' I suppose he means it is a commitment (to not waver). What is the logical form of a sentence which is deliberately ambiguous? |
9375 | Conventionalism agrees with realists that logic has truth values, but not over the source [Boghossian] |
Full Idea: Conventualism is a factualist view: it presupposes that sentences of logic have truth values. It differs from a realist view in its conception of the source of those truth values, not on their existence. I call the denial of truths Non-Factualism. | |
From: Paul Boghossian (Analyticity Reconsidered [1996], §III) | |
A reaction: It barely seems to count as truth is we say 'p is true because we say so'. It is a truth about an agreement, not a truth about logic. Driving on the left isn't a truth about which side of the road is best. |