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Ideas for '', 'Philosophy of Mathematics' and 'What Does It Take to Refer?'

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3 ideas

19. Language / F. Communication / 2. Assertion
In logic a proposition means the same when it is and when it is not asserted [Bostock]
     Full Idea: In Modus Ponens where the first premise is 'P' and the second 'P→Q', in the first premise P is asserted but in the second it is not. Yet it must mean the same in both premises, or it would be guilty of the fallacy of equivocation.
     From: David Bostock (Philosophy of Mathematics [2009], 7.2)
     A reaction: This is Geach's thought (leading to an objection to expressivism in ethics, that P means the same even if it is not expressed).
19. Language / F. Communication / 3. Denial
We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]
     Full Idea: The standard view is that affirming not-A is more complex than affirming the atomic sentence A itself, with the latter determining its sense. But we could learn 'not' directly, by learning at once how to either affirm A or reject A.
     From: Ian Rumfitt ("Yes" and "No" [2000], IV)
     A reaction: [compressed] This seems fairly anti-Fregean in spirit, because it looks at the psychology of how we learn 'not' as a way of clarifying what we mean by it, rather than just looking at its logical behaviour (and thus giving it a secondary role).
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
People slide from contextual variability all the way to contextual determination [Bach]
     Full Idea: People slide from contextual variability to context relativity to context sensitivity to context dependence to contextual determination.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.2 L3)
     A reaction: This is reminiscent of the epistemological slide from cultural or individual relativity of some observed things, to a huge metaphysical denial of truth. Bach's warning applies to me, as I have been drifting down his slope lately. Nice.