17 ideas
19086 | Does the pragmatic theory of meaning support objective truth, or make it impossible? [Macbeth] |
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] |
19093 | Greek mathematics is wholly sensory, where ours is wholly inferential [Macbeth] |
17635 | Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano] |
12312 | The real essence of a thing is its powers, or 'dispositional properties' [Copi] |
10937 | Essential properties are the 'deepest' ones which explain the others [Copi, by Rami] |
12308 | In modern science, nominal essence is intended to be real essence [Copi] |
12303 | Within the four types of change, essential attributes are those whose loss means destruction [Copi] |
19091 | Seeing reality mathematically makes it an object of thought, not of experience [Macbeth] |
19088 | For pragmatists a concept means its consequences [Macbeth] |
12307 | Modern science seeks essences, and is getting closer to them [Copi] |
12310 | Real essences are scientifically knowable, but so are non-essential properties [Copi] |