21 ideas
3338 | Numbers have been defined in terms of 'successors' to the concept of 'zero' [Peano, by Blackburn] |
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] |
5897 | 0 is a non-successor number, all successors are numbers, successors can't duplicate, if P(n) and P(n+1) then P(all-n) [Peano, by Flew] |
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] |
9413 | An event is a change in or to an object [Lombard, by Mumford] |
20712 | God is 'eternal' either by being non-temporal, or by enduring forever [Davies,B] |
20701 | Can God be good, if he has not maximised goodness? [Davies,B] |
20702 | The goodness of God may be a higher form than the goodness of moral agents [Davies,B] |
20703 | How could God have obligations? What law could possibly impose them? [Davies,B] |
20694 | 'Natural theology' aims to prove God to anyone (not just believers) by reason or argument [Davies,B] |
20706 | A distinct cause of the universe can't be material (which would be part of the universe) [Davies,B] |
20707 | The universe exhibits design either in its sense of purpose, or in its regularity [Davies,B] |
20708 | If God is an orderly being, he cannot be the explanation of order [Davies,B] |
20710 | Maybe an abnormal state of mind is needed to experience God? [Davies,B] |
20711 | A believer can experience the world as infused with God [Davies,B] |
20709 | The experiences of God are inconsistent, not universal, and untestable [Davies,B] |
20697 | One does not need a full understanding of God in order to speak of God [Davies,B] |
20699 | Paradise would not contain some virtues, such as courage [Davies,B] |