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Topic: Is logic part of mathematics - or is mathematics part of logic?
Replies: 8   Last Post: Jul 8, 2013 12:57 PM

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Joe Niederberger

Posts: 2,861
Registered: 10/12/08
Re: Is logic part of mathematics - or is mathematics part of logic?
Posted: Jul 7, 2013 8:02 PM
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R Hansen says:
>I think getting the abstract notion of "implication" is critical for any of this to pan out

Of course, and the entire concept that we call "implication" in propositional logic is not something that somebody has a ingrained (or inbred) sense for. It is something that was discovered (, or if you like, invented,) worked out as a system with the other elements, and relies on cultural transmission to propagate to each new generation.

>Kids actually get double negatives, inclusive, exclusive etc. almost as soon as they get language.

Not in an entirely clear and consistent way. But like if..then.., of course the seeds are there. Its a matter of training to take any informally tossed off utterance:
"I ain't never going to school again", "I could care less", and distort its meaning into the logician's.

Cheers,
Joe N



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