18 ideas
| 19066 | Philosophy aims to understand the world, through ordinary experience and science [Dummett] |
| 19067 | A successful proof requires recognition of truth at every step [Dummett] |
| 19060 | Truth-tables are dubious in some cases, and may be a bad way to explain connective meaning [Dummett] |
| 11066 | Deduction is justified by the semantics of its metalanguage [Dummett, by Hanna] |
| 19058 | Syntactic consequence is positive, for validity; semantic version is negative, with counterexamples [Dummett] |
| 19063 | Beth trees show semantics for intuitionistic logic, in terms of how truth has been established [Dummett] |
| 19059 | In standard views you could replace 'true' and 'false' with mere 0 and 1 [Dummett] |
| 19062 | Classical two-valued semantics implies that meaning is grasped through truth-conditions [Dummett] |
| 19065 | Soundness and completeness proofs test the theory of meaning, rather than the logic theory [Dummett] |
| 304 | Beautiful things must be different from beauty itself, but beauty itself must be present in each of them [Plato] |
| 16120 | Knowing how to achieve immortality is pointless without the knowledge how to use immortality [Plato] |
| 303 | Say how many teeth the other has, then count them. If you are right, we will trust your other claims [Plato] |
| 19061 | An explanation is often a deduction, but that may well beg the question [Dummett] |
| 19064 | Holism is not a theory of meaning; it is the denial that a theory of meaning is possible [Dummett] |
| 8119 | Art aims only at beauty, of form, of idea, and (above all) of expression [Winckelmann, by Tolstoy] |
| 302 | What knowledge is required to live well? [Plato] |
| 301 | Only knowledge of some sort is good [Plato] |
| 305 | Something which lies midway between two evils is better than either of them [Plato] |