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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: 4,657
Registered: 10/12/08
Re: Is logic part of mathematics - or is mathematics part of logic?
Posted: Jul 7, 2013 8:33 PM
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Joe N says:
> Most kids will understand that readily, and if they are keen to get to the movies they will notice when it starts to rain and press their parents with the logical conclusion that they should be off to the movies.
> That's unreflective use of logic.

R Hansen says:
>That isn't logic, reflective or not. I don't know why people make this mistake. If I drop a ball it falls down. I drop a ball. It falls down. Is that logic? No. I liken this to the "ants doing trig" story. Just because what ants do can be described with trig doesn't mean that the ants are doing trig, reflective or not. When you tell a kid "if it rains then we are going to the movie" the kid EQUATES rain with movie. That by itself is simply not logic.

Exactly, because logic is the reflective, refined, and systematized use of these primitives that we get first get "for free" so to speak, from language. So accuse me of a oxymoron (unreflective logic!) but who cares.

What's important is that the reflective, careful use of the knowledge of logic is something that gets taught.
Unless, of course, one is Chrysippus.

Joe N

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