20 ideas
12780 | We can grasp the wisdom of God a priori [Leibniz] |
13949 | All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano] |
18113 | PA concerns any entities which satisfy the axioms [Peano, by Bostock] |
17634 | Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell] |
15653 | We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano] |
17635 | Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano] |
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] |
14742 | It can't be indeterminate whether x and y are identical; if x,y is indeterminate, then it isn't x,x [Salmon,N] |
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] |
18885 | Kripke and Putnam made false claims that direct reference implies essentialism [Salmon,N] |
12784 | Allow no more miracles than are necessary [Leibniz] |