20 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] |
20189 | Belief is a feeling, independent of the will, which arises from uncontrolled and unknown causes [Hume] |
21309 | A proposition cannot be intelligible or consistent, if the perceptions are not so [Hume] |
15755 | Hume needs a notion which includes degrees of resemblance [Shoemaker on Hume] |
5323 | Experiences are logically separate, but factually linked by simultaneity or a feeling of continuousness [Ayer on Hume] |
21311 | Are self and substance the same? Then how can self remain if substance changes? [Hume] |
21312 | Perceptions are distinct, so no connection between them can ever be discovered [Hume] |
21308 | We have no impression of the self, and we therefore have no idea of it [Hume] |
21310 | Does an oyster with one perception have a self? Would lots of perceptions change that? [Hume] |
23115 | We have no natural love of mankind, other than through various relationships [Hume] |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
16946 | Causation is just invariance, as long as it is described in general terms [Quine on Hume] |
15250 | If impressions, memories and ideas only differ in vivacity, nothing says it is memory, or repetition [Whitehead on Hume] |