display all the ideas for this combination of philosophers
3 ideas
19597 | Logic (the theory of relations) should be applied to mathematics [Novalis] |
Full Idea: Ought not logic, the theory of relations, be applied to mathematics? | |
From: Novalis (Logological Fragments II [1798], 38) | |
A reaction: Bolzano was 19 when his was written. I presume Novalis would have been excited by set theory (even though he was a hyper-romantic). |
10407 | Logical Form explains differing logical behaviour of similar sentences [Swoyer] |
Full Idea: 'Logical Form' is a technical notion motivated by the observation that sentences with a similar surface structure may exhibit quite different logical behaviour. | |
From: Chris Swoyer (Properties [2000], 4.2) | |
A reaction: [Swoyer goes on to give some nice examples] The tricky question is whether each sentence has ONE logical form. Pragmatics warns us of the dangers. One needs to check numerous inferences from a given sentences, not just one. |
19581 | A problem is a solid mass, which the mind must break up [Novalis] |
Full Idea: A problem is a solid, synthetic mass which is broken up by means of the penetrating power of the mind. | |
From: Novalis (Logological Fragments I [1798], 04) |