display all the ideas for this combination of philosophers
4 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). |
| 12230 | Singular terms refer if they make certain atomic statements true [Hale/Wright] |
| Full Idea: Anyone should agree that a justification for regarding a singular term as having objectual reference is provided just as soon as one has justification for regarding as true certain atomic statements in which it functions as a singular term. | |
| From: B Hale / C Wright (The Metaontology of Abstraction [2009], §9) | |
| A reaction: The meat of this idea is hidden in the word 'certain'. See Idea 10314 for Hale's explanation. Without that, the proposal strikes me as absurd. |
| 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) |
| 10631 | If 'x is heterological' iff it does not apply to itself, then 'heterological' is heterological if it isn't heterological [Hale/Wright] |
| Full Idea: If we stipulate that 'x is heterological' iff it does not apply to itself, we speedily arrive at the contradiction that 'heterological' is itself heterological just in case it is not. | |
| From: B Hale / C Wright (Intro to 'The Reason's Proper Study' [2001], 3.2) |