display all the ideas for this combination of texts
3 ideas
14980 | There is a real issue over what is the 'correct' logic [Sider] |
Full Idea: Certain debates over the 'correct' logic are genuine, and not linguistic or conceptual. | |
From: Theodore Sider (Writing the Book of the World [2011], 01.3) | |
A reaction: It is rather hard to give arguments in favour of this view, but I am pleased to have the authority of Sider with me. |
15000 | 'It is raining' and 'it is not raining' can't be legislated, so we can't legislate 'p or ¬p' [Sider] |
Full Idea: I cannot legislate-true 'It is raining' and I cannot legislate true 'It is not raining', so if I cannot legislate either true then I cannot legislate-true the disjunction 'it is raining or it is not raining'. | |
From: Theodore Sider (Writing the Book of the World [2011], 06.5) | |
A reaction: This strikes me as a very simple and very persuasive argument against the idea that logic is a mere convention. I take disjunction to be an abstract summary of how the world works. Sider seems sympathetic. |
15020 | Classical logic is good for mathematics and science, but less good for natural language [Sider] |
Full Idea: Despite its brilliant success in mathematics and fundamental science, classical logic applies uneasily to natural language. | |
From: Theodore Sider (Writing the Book of the World [2011], 10.6) | |
A reaction: He gives examples of the conditional, and debates over the meaning of 'and', 'or' and 'not', and also names and quantifiers. Many modern philosophical problems result from this conflict. |