22 ideas
| 12780 | We can grasp the wisdom of God a priori [Leibniz] |
| 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] |
| 12774 | Without a substantial chain to link monads, they would just be coordinated dreams [Leibniz] |
| 12777 | Monads do not make a unity unless a substantial chain is added to them [Leibniz] |
| 12782 | Monads control nothing outside of themselves [Leibniz] |
| 12778 | There is active and passive power in the substantial chain and in the essence of a composite [Leibniz] |
| 12783 | Primitive force is what gives a composite its reality [Leibniz] |
| 12775 | Things seem to be unified if we see duration, position, interaction and connection [Leibniz] |
| 12776 | Every substance is alive [Leibniz] |
| 12753 | A substantial bond of powers is needed to unite composites, in addition to monads [Leibniz] |
| 12781 | A composite substance is a mere aggregate if its essence is just its parts [Leibniz] |
| 12779 | There is a reason why not every possible thing exists [Leibniz] |
| 12785 | Truth is mutually agreed perception [Leibniz] |
| 7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
| 12784 | Allow no more miracles than are necessary [Leibniz] |