9 ideas
| 6343 | For Russell, both propositions and facts are arrangements of objects, so obviously they correspond [Horwich on Russell] |
| Full Idea: Given Russell's notion of a proposition, as an arrangement of objects and properties, it is hard to see how there could be any difference at all between such a proposition and the fact corresponding to it, since they each involve the same arrangement. | |
| From: comment on Bertrand Russell (On the Nature of Truth and Falsehood [1910]) by Paul Horwich - Truth (2nd edn) Ch.7.35 | |
| A reaction: This seems a little unfair, given that Russell (in 1912) uses the notion now referred to as 'congruence', so that the correspondence is not in the objects and properties, but in how they are 'ordered', which may differ between proposition and fact. |
| 11211 | If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt] |
| Full Idea: If a designated conclusion follows from the premisses, but the argument involves two howlers which cancel each other out, then the moral is that the path an argument takes from premisses to conclusion does matter to its logical evaluation. | |
| From: Ian Rumfitt ("Yes" and "No" [2000], II) | |
| A reaction: The drift of this is that our view of logic should be a little closer to the reasoning of ordinary language, and we should rely a little less on purely formal accounts. |
| 11210 | Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt] |
| Full Idea: If 'and' and 'but' really are alike in sense, in what might that likeness consist? Some philosophers of classical logic will reply that they share a sense by virtue of sharing a truth table. | |
| From: Ian Rumfitt ("Yes" and "No" [2000]) | |
| A reaction: This is the standard view which Rumfitt sets out to challenge. |
| 11212 | The sense of a connective comes from primitively obvious rules of inference [Rumfitt] |
| Full Idea: A connective will possess the sense that it has by virtue of its competent users' finding certain rules of inference involving it to be primitively obvious. | |
| From: Ian Rumfitt ("Yes" and "No" [2000], III) | |
| A reaction: Rumfitt cites Peacocke as endorsing this view, which characterises the logical connectives by their rules of usage rather than by their pure semantic value. |
| 7534 | In 1906, Russell decided that propositions did not, after all, exist [Russell, by Monk] |
| Full Idea: With a characteristic readiness to abandon views that he had previously considered definitively correct, Russell declared in 1906 that there were, after all, no such 'things' as propositions. It is judgements that are true or false. | |
| From: report of Bertrand Russell (On the Nature of Truth and Falsehood [1910]) by Ray Monk - Bertrand Russell: Spirit of Solitude Ch.6 | |
| A reaction: Written 1906. Russell developed a 'multiple relation theory of judgement'. But if a judgement is an assessment of truth or falsehood, what is it that is being assessed? |
| 11214 | 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). |
| 9409 | Laws are the best axiomatization of the total history of world events or facts [Lewis, by Mumford] |
| Full Idea: The Mill-Ramsey-Lewis theory takes laws to be axioms (or theorems) of the best possible systematizations of the world's total history, where such a history is a history of events or facts. | |
| From: report of David Lewis (Psychophysical and theoretical identifications [1972]) by Stephen Mumford - Laws in Nature 1.3 |
| 9423 | If simplicity and strength are criteria for laws of nature, that introduces a subjective element [Mumford on Lewis] |
| Full Idea: Lewis's simplicity and strength criteria introduce an element of subjectivity into the laws, because the best system seems to be determined by what we take to be simple and strong in a system. | |
| From: comment on David Lewis (Psychophysical and theoretical identifications [1972]) by Stephen Mumford - Laws in Nature 3.5 | |
| A reaction: [Mumford cites Armstrong 1983:67 for this] |
| 9424 | A number of systematizations might tie as the best and most coherent system [Mumford on Lewis] |
| Full Idea: Since the best system view is a coherence theory, the possibility could not be ruled out that a number of different systematizations of the same history might be tied for first place as equally best. | |
| From: comment on David Lewis (Psychophysical and theoretical identifications [1972]) by Stephen Mumford - Laws in Nature 3.5 | |
| A reaction: [Mumord cites Armstrong 1983:70] Personally I am a fan of coherence theories, and this problem doesn't bother me. |