20 ideas
14231 | We should always apply someone's theory of meaning to their own utterances [Liggins] |
17325 | Truth-maker theory can't cope with non-causal dependence [Liggins] |
17318 | Truthmakers for existence is fine; otherwise maybe restrict it to synthetic truths? [Liggins] |
14232 | We normally formalise 'There are Fs' with singular quantification and predication, but this may be wrong [Liggins] |
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] |
17320 | Either p is true or not-p is true, so something is true, so something exists [Liggins] |
17326 | The dependence of {Socrates} on Socrates involves a set and a philosopher, not facts [Liggins] |
17327 | Non-causal dependence is at present only dimly understood [Liggins] |
17322 | Necessities supervene on everything, but don't depend on everything [Liggins] |
14233 | Nihilists needn't deny parts - they can just say that some of the xs are among the ys [Liggins] |
17324 | 'Because' can signal an inference rather than an explanation [Liggins] |
17321 | Value, constitution and realisation are non-causal dependences that explain [Liggins] |
17323 | If explanations track dependence, then 'determinative' explanations seem to exist [Liggins] |
1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |