17 ideas
19574 | If man sacrifices truth he sacrifices himself, by acting against his own convictions [Novalis] |
19571 | Delusion and truth differ in their life functions [Novalis] |
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] |
19575 | Refinement of senses increasingly distinguishes individuals [Novalis] |
19572 | Experiences tests reason, and reason tests experience [Novalis] |
19573 | The seat of the soul is where our inner and outer worlds interpenetrate [Novalis] |
19577 | Everything is a chaotic unity, then we abstract, then we reunify the world into a free alliance [Novalis] |
19578 | Only self-illuminated perfect individuals are beautiful [Novalis] |
5996 | Critolaus redefined Aristotle's moral aim as fulfilment instead of happiness [Critolaus, by White,SA] |
19576 | Religion needs an intermediary, because none of us can connect directly to a godhead [Novalis] |