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Ideas for 'fragments/reports', 'On the Very Idea of a Third Dogma' and 'The Principles of Mathematics'

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5 ideas

19. Language / D. Propositions / 1. Propositions
Proposition contain entities indicated by words, rather than the words themselves [Russell]
     Full Idea: A proposition, unless it happens to be linguistic, does not itself contain words: it contains the entities indicated by words.
     From: Bertrand Russell (The Principles of Mathematics [1903], §051)
     A reaction: Russell says in his Preface that he took over this view of propositions from G.E. Moore. They are now known as 'Russellian' propositions, which are mainly distinguished by not being mental event, but by being complexes out in the world.
19. Language / D. Propositions / 3. Concrete Propositions
If propositions are facts, then false and true propositions are indistinguishable [Davidson on Russell]
     Full Idea: Russell often treated propositions as facts, but discovered that correspondence then became useless for explaining truth, since every meaningful expression, true or false, expresses a proposition.
     From: comment on Bertrand Russell (The Principles of Mathematics [1903]) by Donald Davidson - Truth and Predication 6
     A reaction: So 'pigs fly' would have to mean pigs actually flying (which they don't). They might correspond to possible situations, but only if pigs might fly. What do you make of 'circles are square'? Russell had many a sleepless night over that.
19. Language / D. Propositions / 5. Unity of Propositions
A proposition is a unity, and analysis destroys it [Russell]
     Full Idea: A proposition is essentially a unity, and when analysis has destroyed the unity, no enumeration of constituents will restore the proposition.
     From: Bertrand Russell (The Principles of Mathematics [1903], §054)
     A reaction: The question of the 'unity of the proposition' led to a prolonged debate.
Russell said the proposition must explain its own unity - or else objective truth is impossible [Russell, by Davidson]
     Full Idea: Moore and Russell reacted strongly against the idea that the unity of the proposition depended on human acts of judgement. ...Russell decided that unless the unity is explained in terms of the proposition itself, there can be no objective truth.
     From: report of Bertrand Russell (The Principles of Mathematics [1903], p.42) by Donald Davidson - Truth and Predication 5
     A reaction: Put like this, the Russellian view strikes me as false. Effectively he is saying that a unified proposition is the same as a fact. I take a proposition to be a brain event, best labelled by Frege as a 'thought'. Thoughts may not even have parts.
19. Language / F. Communication / 6. Interpreting Language / a. Translation
Translation is too flimsy a notion to support theories of cultural incommensurability [Quine]
     Full Idea: Translation is a flimsy notion, unfit to bear the weight of the theories of cultural incommensurability that Davidson effectively and justly criticises.
     From: Willard Quine (On the Very Idea of a Third Dogma [1981], p.42)
     A reaction: I presume he means that a claim to accurately translate something is false, because there is no clear idea of what a good translation looks like it. I just don't believe him. The practice of daily life belies Quine's theories on this.