5 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. |
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) |
21687 | It seems obvious to prefer the simpler of two theories, on grounds of beauty and convenience [Quine] |
Full Idea: It is not to be wondered that theory makers seek simplicity. When two theories are equally defensible on other counts, certainly the simpler of the two is to be preferred on the score of both beauty and convenience. | |
From: Willard Quine (On Simple Theories of a Complex World [1960], p.255) | |
A reaction: A simple application of Ockham's Razor. Quine goes on to nicely deconstruct what is involved in simplicity, and identify a certain amount of dubious prejudice in the concept. |
21688 | There are four suspicious reasons why we prefer simpler theories [Quine] |
Full Idea: We prefer simpler theories through wishful thinking, or a bias which slants the data, or a bias where the simpler hypothesis is more open to confirmation, or simpler hypotheses tolerating wider deviations in score-keeping. | |
From: Willard Quine (On Simple Theories of a Complex World [1960], p.258) | |
A reaction: [a compression of his summary of the paper] Quine is not dismissing our preference for simpler theories, but just very nicely inviting us to focus of aspects about which we should be cautious. |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom. | |
From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88) | |
A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate'). |