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Topic: Is logic part of mathematics - or is mathematics part of logic?
Replies: 8   Last Post: Jul 7, 2013 5:19 PM

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Robert Hansen

Posts: 7,710
From: Florida
Registered: 6/22/09
Re: Is logic part of mathematics - or is mathematics part of logic?
Posted: Jul 6, 2013 12:20 PM
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On Jul 5, 2013, at 10:12 PM, "Clyde Greeno @ MALEI" <greeno@malei.org> wrote:

> "Pure" mathematics entails descriptions of KINDS of things that are being attended, together with whatever logically substantial concepts and conclusions are derived from those descriptions.

This is because you think that analogy (common sense) is the seat of reasoned thought. It isn't. It will get you enough arithmetic to be functional though.


On Jul 5, 2013, at 10:12 PM, "Clyde Greeno @ MALEI" <greeno@malei.org> wrote:

> Outrageous formalism has done far more to inhibit mankind's mathematical progress than to facilitate it.


How could a bunch of pure mathematicians with no people skills inhibit anyone's anything?


Why is it that some reformers, like yourself, make these bold claims of how easy and common mathematics is, yet never make it past arithmetic with their students? People like us would "get it" if what you said made any sense. More importantly, if what you said was true then we wouldn't even have to "get it". It appears to me that if the thousands of reformers like yourself deserve any credit it is for proving, these last several decades, that mathematics is anything but common or easy.

Bob Hansen



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