17 ideas
22438 | Philosophy is largely concerned with finding the minimum that science could get by with [Quine] |
22436 | Logicians don't paraphrase logic into language, because they think in the symbolic language [Quine] |
22431 | Good algorithms and theories need many occurrences of just a few elements [Quine] |
22435 | The logician's '→' does not mean the English if-then [Quine] |
22433 | It is important that the quantification over temporal entities is timeless [Quine] |
22437 | Logical languages are rooted in ordinary language, and that connection must be kept [Quine] |
22434 | Reduction to logical forms first simplifies idioms and grammar, then finds a single reading of it [Quine] |
13949 | All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano] |
18113 | PA concerns any entities which satisfy the axioms [Peano, by Bostock] |
17634 | Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell] |
15653 | We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano] |
17635 | Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano] |
22432 | Normally conditionals have no truth value; it is the consequent which has a conditional truth value [Quine] |
22430 | If we understand a statement, we know the circumstances of its truth [Quine] |
13713 | Quine holds time to be 'space-like': past objects are as real as spatially remote ones [Quine, by Sider] |
16713 | Philosophers are the forefathers of heretics [Tertullian] |
6610 | I believe because it is absurd [Tertullian] |