23 ideas
14240 | The empty set is something, not nothing! [Oliver/Smiley] |
14239 | The empty set is usually derived from Separation, but it also seems to need Infinity [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] |
23805 | Some explanations offer to explain a mystery by a greater mystery [Schulte] |
23796 | Naturalists must explain both representation, and what is represented [Schulte] |
23793 | On the whole, referential content is seen as broad, and sense content as narrow [Schulte] |
23795 | Naturalistic accounts of content cannot rely on primitive mental or normative notions [Schulte] |
23806 | Naturalist accounts of representation must match the views of cognitive science [Schulte] |
23804 | Maybe we can explain mental content in terms of phenomenal properties [Schulte] |
23792 | Phenomenal and representational character may have links, or even be united [Schulte] |
23802 | Conceptual role semantics says content is determined by cognitive role [Schulte] |
23797 | Cause won't explain content, because one cause can produce several contents [Schulte] |
23799 | Teleosemantics explains content in terms of successful and unsuccessful functioning [Schulte] |
23800 | Teleosemantic explanations say content is the causal result of naturally selected functions [Schulte] |
23798 | Information theories say content is information, such as smoke making fire probable [Schulte] |
1497 | For Anaximenes nature is air, which takes different forms by rarefaction and condensation [Anaximenes, by Simplicius] |