10 ideas
18261 | A simplification which is complete constitutes a definition [Kant] |
11022 | Gentzen introduced a natural deduction calculus (NK) in 1934 [Gentzen, by Read] |
22275 | Logic gives us the necessary rules which show us how we ought to think [Kant] |
11065 | The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna] |
11023 | The logical connectives are 'defined' by their introduction rules [Gentzen] |
11213 | Each logical symbol has an 'introduction' rule to define it, and hence an 'elimination' rule [Gentzen] |
10067 | Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave] |
23888 | Knowledge is beyond question, as an unavoidable component of thinking [Weil] |
18260 | If we knew what we know, we would be astonished [Kant] |
23887 | Art (like philosophy) establishes a relation between world and self, and between oneself and others [Weil] |