13 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] |
20363 | Leaves are unequal, but we form the concept 'leaf' by discarding their individual differences [Nietzsche] |
4581 | Virtues and vices are like secondary qualities in perception, found in observers, not objects [Hume] |
4580 | All virtues benefit either the public, or the individual who possesses them [Hume] |
4579 | The idea of a final cause is very uncertain and unphilosophical [Hume] |
20705 | That events could be uncaused is absurd; I only say intuition and demonstration don't show this [Hume] |