17 ideas
9808 | Philosophy aims to reveal the grandeur of mathematics [Badiou] |
11211 | If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt] |
11210 | Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt] |
11212 | The sense of a connective comes from primitively obvious rules of inference [Rumfitt] |
21642 | If quantification is all substitutional, there is no ontology [Quine] |
9812 | In mathematics, if a problem can be formulated, it will eventually be solved [Badiou] |
9813 | Mathematics shows that thinking is not confined to the finite [Badiou] |
9809 | Mathematics inscribes being as such [Badiou] |
1633 | Absolute ontological questions are meaningless, because the answers are circular definitions [Quine] |
9811 | It is of the essence of being to appear [Badiou] |
18964 | Ontology is relative to both a background theory and a translation manual [Quine] |
18965 | We know what things are by distinguishing them, so identity is part of ontology [Quine] |
1634 | Two things are relative - the background theory, and translating the object theory into the background theory [Quine] |
8470 | Reference is inscrutable, because we cannot choose between theories of numbers [Quine, by Orenstein] |
11214 | We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt] |
18963 | Indeterminacy translating 'rabbit' depends on translating individuation terms [Quine] |
9814 | All great poetry is engaged in rivalry with mathematics [Badiou] |