24 ideas
4739 | In "if and only if" (iff), "if" expresses the sufficient condition, and "only if" the necessary condition [Engel] |
4737 | Are truth-bearers propositions, or ideas/beliefs, or sentences/utterances? [Engel] |
4750 | The redundancy theory gets rid of facts, for 'it is a fact that p' just means 'p' [Engel] |
4744 | We can't explain the corresponding structure of the world except by referring to our thoughts [Engel] |
4738 | The coherence theory says truth is an internal relationship between groups of truth-bearers [Engel] |
4745 | Any coherent set of beliefs can be made more coherent by adding some false beliefs [Engel] |
4753 | Deflationism seems to block philosophers' main occupation, asking metatheoretical questions [Engel] |
4755 | Deflationism cannot explain why we hold beliefs for reasons [Engel] |
4751 | Maybe there is no more to be said about 'true' than there is about the function of 'and' in logic [Engel] |
4752 | Deflationism must reduce bivalence ('p is true or false') to excluded middle ('p or not-p') [Engel] |
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] |
4762 | The Humean theory of motivation is that beliefs may be motivators as well as desires [Engel] |
4754 | Our beliefs are meant to fit the world (i.e. be true), where we want the world to fit our desires [Engel] |
4763 | 'Evidentialists' say, and 'voluntarists' deny, that we only believe on the basis of evidence [Engel] |
4746 | Pragmatism is better understood as a theory of belief than as a theory of truth [Engel] |
4764 | We cannot directly control our beliefs, but we can control the causes of our involuntary beliefs [Engel] |
4759 | Mental states as functions are second-order properties, realised by first-order physical properties [Engel] |
1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |