Combining Philosophers

Ideas for Novalis, C.I. Lewis and Jean Calvin

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2 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
There are several logics, none of which will ever derive falsehoods from truth [Lewis,CI]
     Full Idea: The fact is that there are several logics, markedly different, each self-consistent in its own terms and such that whoever, using it, avoids false premises, will never reach a false conclusion.
     From: C.I. Lewis (A Pragmatic Conception of the A Priori [1923], p.366)
     A reaction: As the man who invented modal logic in five different versions, he speaks with some authority. Logicians now debate which version is the best, so how could that be decided? You could avoid false conclusions by never reasoning at all.
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
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).