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] |
19558 | Our own intuitions about whether we know tend to vacillate [Cohen,S] |
19561 | We shouldn't jump too quickly to a contextualist account of claims to know [Cohen,S] |
19563 | The context sensitivity of knowledge derives from its justification [Cohen,S] |
19560 | Contextualism is good because it allows knowledge, but bad because 'knowing' is less valued [Cohen,S] |
12893 | Contextualism says sceptical arguments are true, relative to their strict context [Cohen,S] |
12896 | Knowledge is context-sensitive, because justification is [Cohen,S] |
12894 | There aren't invariant high standards for knowledge, because even those can be raised [Cohen,S] |
19559 | Contextualists slightly concede scepticism, but only in extremely strict contexts [Cohen,S] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |
536 | We should follow the law in public, and nature in private [Antiphon] |
1557 | To gain the greatest advantage only treat law as important when other people are present [Antiphon] |
540 | The way you spend your time will form your character [Antiphon] |
539 | Nothing is worse for mankind than anarchy [Antiphon] |