21 ideas
21829 | Philosophy aims to understand how things (broadly understood) hang together (broadly understood) [Sellars] |
14239 | The empty set is usually derived from Separation, but it also seems to need Infinity [Oliver/Smiley] |
14240 | The empty set is something, not nothing! [Oliver/Smiley] |
14241 | We don't need the empty set to express non-existence, as there are other ways to do that [Oliver/Smiley] |
14242 | Maybe we can treat the empty set symbol as just meaning an empty term [Oliver/Smiley] |
14243 | The unit set may be needed to express intersections that leave a single member [Oliver/Smiley] |
14234 | If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley] |
14237 | We can use plural language to refer to the set theory domain, to avoid calling it a 'set' [Oliver/Smiley] |
14245 | Logical truths are true no matter what exists - but predicate calculus insists that something exists [Oliver/Smiley] |
14246 | If mathematics purely concerned mathematical objects, there would be no applied mathematics [Oliver/Smiley] |
14247 | Sets might either represent the numbers, or be the numbers, or replace the numbers [Oliver/Smiley] |
6550 | Reduction requires that an object's properties consist of its constituents' properties and relations [Sellars] |
10496 | Monothetic categories have fixed defining features, and polythetic categories do not [Ellen] |
10497 | In symbolic classification, the categories are linked to rules [Ellen] |
10494 | Several words may label a category; one word can name several categories; some categories lack words [Ellen] |
10495 | Continuous experience sometimes needs imposition of boundaries to create categories [Ellen] |
8793 | If observation is knowledge, it is not just an experience; it is a justification in the space of reasons [Sellars] |
8792 | Observations like 'this is green' presuppose truths about what is a reliable symptom of what [Sellars] |
10498 | Classification is no longer held to be rooted in social institutions [Ellen] |
6382 | The 'grain problem' says physical objects are granular, where sensations appear not to be [Sellars, by Polger] |
8791 | The concept of 'green' involves a battery of other concepts [Sellars] |