14 ideas
15842 | An ad hominem refutation is reasonable, if it uses the opponent's assumptions [Harte,V] |
9944 | We understand some statements about all sets [Putnam] |
15841 | Mereology began as a nominalist revolt against the commitments of set theory [Harte,V] |
9937 | I do not believe mathematics either has or needs 'foundations' [Putnam] |
9939 | It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam] |
9940 | Maybe mathematics is empirical in that we could try to change it [Putnam] |
9941 | Science requires more than consistency of mathematics [Putnam] |
15858 | Traditionally, the four elements are just what persists through change [Harte,V] |
9943 | You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam] |
15848 | Mereology treats constitution as a criterion of identity, as shown in the axiom of extensionality [Harte,V] |
15837 | What exactly is a 'sum', and what exactly is 'composition'? [Harte,V] |
15839 | If something is 'more than' the sum of its parts, is the extra thing another part, or not? [Harte,V] |
15838 | The problem with the term 'sum' is that it is singular [Harte,V] |
22086 | The most important aspect of a human being is not reason, but passion [Kierkegaard, by Carlisle] |