20 ideas
10061 | The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave] |
10065 | Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave] |
10049 | Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave] |
10050 | A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave] |
10058 | No two numbers having the same successor relies on the Axiom of Infinity [Musgrave] |
10062 | Formalism seems to exclude all creative, growing mathematics [Musgrave] |
10063 | Formalism is a bulwark of logical positivism [Musgrave] |
10938 | The extremes of essentialism are that all properties are essential, or only very trivial ones [Rami] |
10940 | An 'individual essence' is possessed uniquely by a particular object [Rami] |
10939 | 'Sortal essentialism' says being a particular kind is what is essential [Rami] |
10934 | Unlosable properties are not the same as essential properties [Rami] |
10933 | Physical possibility is part of metaphysical possibility which is part of logical possibility [Rami] |
10932 | If it is possible 'for all I know' then it is 'epistemically possible' [Rami] |
12608 | Concepts are distinguished by roles in judgement, and are thus tied to rationality [Peacocke] |
12605 | A sense is individuated by the conditions for reference [Peacocke] |
12607 | Fregean concepts have their essence fixed by reference-conditions [Peacocke] |
12609 | Concepts have distinctive reasons and norms [Peacocke] |
12604 | Any explanation of a concept must involve reference and truth [Peacocke] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |
12610 | Encountering novel sentences shows conclusively that meaning must be compositional [Peacocke] |