15 ideas
22234 | Post-structuralism focused on exterior determinants of thought, rather than the thinker [Oksala] |
18241 | Sufficient reason is implied by contradiction, of an insufficient possible which exists [Wolff, by Korsgaard] |
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] |
20582 | World government needs a shared global identity [Oksala] |
20568 | The principles Rawls arrives at do not just conform to benevolence, but also result from choices [Oksala] |
20578 | Anarchists prefer local and communal government [Oksala] |
20574 | Utilitarianism neglects responsibility, duties and rights [Oksala] |
18242 | Confucius shows that ethics can rest on reason, rather than on revelation [Wolff, by Korsgaard] |