5 ideas
| 19053 | Logic would be more natural if negation only referred to predicates [Dummett] |
| Full Idea: A better proposal for a formal logic closer to natural language would be one that had a negation-operator only for (simple) predicates. | |
| From: Michael Dummett (Presupposition [1960], p.27) | |
| A reaction: Dummett observes that classical formal logic was never intended to be close to natural language. Term logic does have that aim, but the meta-question is whether that end is desirable, and why. |
| 19052 | Natural language 'not' doesn't apply to sentences [Dummett] |
| Full Idea: Natural language does not possess a sentential negation-operator. | |
| From: Michael Dummett (Presupposition [1960], p.27) | |
| A reaction: This is a criticism of Strawson, who criticises logic for not following natural language, but does it himself with negation. In the question of how language and logic connect, this idea seems important. Term Logic aims to get closer to natural language. |
| 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. |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice. | |
| From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where? |