9 ideas
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] |
1556 | By nature people are close to one another, but culture drives them apart [Hippias] |
8063 | Baumgarten founded aesthetics in 1750 [Baumgarten, by Tolstoy] |
8118 | Beauty is an order between parts, and in relation to the whole [Baumgarten, by Tolstoy] |
8117 | Perfection comes through the senses (Beauty), through reason (Truth), and through moral will (Good) [Baumgarten, by Tolstoy] |