Monism states that there is just one correct system of logic.
Pluralism states that there is more than one correct system in logic.
Instrumentalism states that there is no "correct" logic; the notion of correctness is inappropriate. — Posty McPostface
What does "correct" mean in relation to logics? — Janus
There is certainly more than one kind of logic. — Janus
A logic is a methodology of thought, and it would not seem to make sense to say that you could have a methodology without internal consistency. — Janus
If truth is the criterion of "correctness" then you would need to explain what it could mean for a logic to be true. — Janus
So I would agree that the notion of correctness is inappropriate if correctness is understood to be equivalent to truth, but it would not seem to be inappropriate if correctness is understood to correspond to internal consistency. — Janus
I would say pluralism is the right choice, and that pluralism is not inconsistent with instrumentalism, because a logic would fail to be instrumental if it lacked methodological consistency. — Janus
Although having said that instrumentalism is right only insofar as it rejects the idea that correctness means truth. If it accepts that correctness means methodological consistency then it is false to say that the notion of correctness is inappropriate, even though to say under that assumption that correctness is appropriate would seem to be a trivial truism. — Janus
Monism states that there is just one correct system of logic. — Posty McPostface
Yes, I take it as internally consistent here, and if that follows, then true and valid. — Posty McPostface
But then maybe I misunderstood you, maybe you want to ask the "ontological" question about logic; whether logic(s) "reflect(s) reality", or something like that? If that is accepted as a coherent question, then I suppose the question as to whether there is more than one logic which reflects reality could be asked. Is it a coherent question, though? — Janus
Proofs within P are perfectly good - no need for "extra-systematic appeals" to anything. — tim wood
Is this one of those, whereof one cannot speak, thereof one ought remain silent, moments? — Posty McPostface
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