15 ideas
22002 | Wolff's version of Leibniz dominated mid-18th C German thought [Pinkard] |
22021 | Romantics explored beautiful subjectivity, and the re-enchantment of nature [Pinkard] |
22010 | The combination of Kant and the French Revolution was an excited focus for German philosophy [Pinkard] |
22036 | In Hegel's time naturalism was called 'Spinozism' [Pinkard] |
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] |
22048 | Idealism is the link between reason and freedom [Pinkard] |
16713 | Philosophers are the forefathers of heretics [Tertullian] |
6610 | I believe because it is absurd [Tertullian] |