18 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] |
6230 | If the soul were a tabula rasa, with no innate ideas, there could be no moral goodness or justice [Cudworth] |
6228 | Senses cannot judge one another, so what judges senses cannot be a sense, but must be superior [Cudworth] |
6229 | Sense is fixed in the material form, and so can't grasp abstract universals [Cudworth] |
6227 | Keeping promises and contracts is an obligation of natural justice [Cudworth] |
6231 | There is a self-determing power in each person, which makes them what they are [Cudworth] |
6225 | Obligation to obey all positive laws is older than all laws [Cudworth] |
6224 | An omnipotent will cannot make two things equal or alike if they aren't [Cudworth] |
6223 | If the will and pleasure of God controls justice, then anything wicked or unjust would become good if God commanded it [Cudworth] |
6226 | The requirement that God must be obeyed must precede any authority of God's commands [Cudworth] |
1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |