10 ideas
| 14263 | Strong Kleene disjunction just needs one true disjunct; Weak needs the other to have some value [Fine,K] |
| Full Idea: Under strong Kleene tables, a disjunction will be true if one of the disjuncts is true, regardless of whether or not the other disjunct has a truth-value; under the weak table it is required that the other disjunct also have a value. So for other cases. | |
| From: Kit Fine (Some Puzzles of Ground [2010], n7) | |
| A reaction: [see also p.111 of Fine's article] The Kleene tables seem to be the established form of modern three-valued logic, with the third value being indeterminate. |
| 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. |
| 14262 | Formal grounding needs transitivity of grounding, no self-grounding, and the existence of both parties [Fine,K] |
| Full Idea: The general formal principles of grounding are Transitivity (A«B, B«C/A«C: if A helps ground B and B helps C, then A helps C), Irreflexivity (A«A/absurd: A can't ground itself) and Factivity (A«B/A; A«/B: for grounding both A and B must be the case). | |
| From: Kit Fine (Some Puzzles of Ground [2010], 4) |
| 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). |
| 23903 | When we admire a work, we see ourselves as its creator [Weil] |
| Full Idea: It is impossible to admire a work of art without thinking oneself, in a way, its creator and without, in a sense, becoming so. | |
| From: Simone Weil (Letters [1940], 1940-03c) | |
| A reaction: This rings true for me. You almost see yourself making the brush strokes, or writing the phrase, or penning the chords. It is engagment which is essential for artistic experience. So all art lovers want to be artists? |
| 23901 | Relationships depend on equality, so unequal treatment kills them [Weil] |
| Full Idea: I conceive human relations solely on the plane of equality; therefore, so soon as someone begins to treat me as an inferior, human relations between us become impossible in my eyes. | |
| From: Simone Weil (Letters [1940], 1936-03) | |
| A reaction: Love that. This is precisely where equality starts. I fear that the problem is that people who don't treat others as equals don't want relationships with them, which particularly occurs in a competitive or hierarchical culture. |
| 23904 | The cruelty of the Old Testament put me off Christianity [Weil] |
| Full Idea: I have always been kept away from Christianity by its ranking the Old Testament stories, so full of pitiless cruelty, as sacred texts. | |
| From: Simone Weil (Letters [1940], 1941-01) | |
| A reaction: After 1938 she was a devout and intense Christian, but of a highly individual and platonist kind. Her religion is dominated by love and beauty. |
| 23902 | I attach little importance to immortality, which is an undecidable fact, and irrelevant to us [Weil] |
| Full Idea: You attach great importance to the reasoning about immortality. I myself attach little. It is a factual question, which cannot be decided in advance by any reasoning. And what does it matter to us? | |
| From: Simone Weil (Letters [1940], 1937-04c) | |
| A reaction: I love 'what does it matter to us?'. The idea that our future bliss or misery depends on how we live now is an utterly wicked fiction, which derails attempts to live a proper life. |