23 ideas
8996 | If if time is money then if time is not money then time is money then if if if time is not money... [Quine] |
7807 | The laws of thought are true, but they are not the axioms of logic [Bolzano, by George/Van Evra] |
8995 | Definition by words is determinate but relative; fixing contexts could make it absolute [Quine] |
10064 | Quine quickly dismisses If-thenism [Quine, by Musgrave] |
20296 | Logic needs general conventions, but that needs logic to apply them to individual cases [Quine, by Rey] |
8998 | Claims that logic and mathematics are conventional are either empty, uninteresting, or false [Quine] |
8999 | Logic isn't conventional, because logic is needed to infer logic from conventions [Quine] |
9000 | If a convention cannot be communicated until after its adoption, what is its role? [Quine] |
9618 | Bolzano wanted to reduce all of geometry to arithmetic [Bolzano, by Brown,JR] |
8994 | If analytic geometry identifies figures with arithmetical relations, logicism can include geometry [Quine] |
8997 | There are four different possible conventional accounts of geometry [Quine] |
9830 | Bolzano began the elimination of intuition, by proving something which seemed obvious [Bolzano, by Dummett] |
8993 | If mathematics follows from definitions, then it is conventional, and part of logic [Quine] |
17265 | Philosophical proofs in mathematics establish truths, and also show their grounds [Bolzano, by Correia/Schnieder] |
9185 | Bolzano wanted to avoid Kantian intuitions, and prove everything that could be proved [Bolzano, by Dummett] |
22276 | Bolzano saw propositions as objective entities, existing independently of us [Bolzano, by Potter] |
17264 | Propositions are abstract structures of concepts, ready for judgement or assertion [Bolzano, by Correia/Schnieder] |
12232 | A 'proposition' is the sense of a linguistic expression, and can be true or false [Bolzano] |
12233 | The ground of a pure conceptual truth is only in other conceptual truths [Bolzano] |
23903 | When we admire a work, we see ourselves as its creator [Weil] |
23901 | Relationships depend on equality, so unequal treatment kills them [Weil] |
23904 | The cruelty of the Old Testament put me off Christianity [Weil] |
23902 | I attach little importance to immortality, which is an undecidable fact, and irrelevant to us [Weil] |