19 ideas
6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
6304 | Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik] |
6300 | Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik] |
6303 | Sets are positions in patterns [Resnik] |
6302 | Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik] |
6295 | There are too many mathematical objects for them all to be mental or physical [Resnik] |
6296 | Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik] |
6301 | Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik] |
10467 | Individuals consist of 'compresent' tropes [Bacon,John] |
10464 | A trope is a bit of a property or relation (not an exemplification or a quality) [Bacon,John] |
10465 | Trope theory is ontologically parsimonious, with possibly only one-category [Bacon,John] |
10466 | Maybe possible worlds are just sets of possible tropes [Bacon,John] |
20937 | The state should produce higher civilisations for all, in tune with the economic apparatus [Gramsci] |
20935 | Eventually political parties lose touch with the class they represent, which is dangerous [Gramsci] |
20936 | Caesarism emerges when two forces in society are paralysed in conflict [Gramsci] |
20941 | Totalitarian parties cut their members off from other cultural organisations [Gramsci] |
20939 | What is the function of a parliament? Does it even constitute a part of the State structure? [Gramsci] |
20938 | Liberalism's weakness is its powerful rigid bureaucracy [Gramsci] |
20940 | Perfect political equality requires economic equality [Gramsci] |