4 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. |
490 | Everything happens by reason and necessity [Leucippus] |
Full Idea: Nothing happens at random; everything happens out of reason and by necessity. | |
From: Leucippus (fragments/reports [c.435 BCE], B002), quoted by (who?) - where? |
9425 | Lewis later proposed the axioms at the intersection of the best theories (which may be few) [Mumford on Lewis] |
Full Idea: Later Lewis said we must choose between the intersection of the axioms of the tied best systems. He chose for laws the axioms that are in all the tied systems (but then there may be few or no axioms in the intersection). | |
From: comment on David Lewis (Subjectivist's Guide to Objective Chance [1980], p.124) by Stephen Mumford - Laws in Nature |