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Topic: Some important demonstrations on negative numbers
Replies: 70   Last Post: Dec 8, 2012 1:28 PM

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Joe Niederberger

Posts: 3,298
Registered: 10/12/08
Re: Some important demonstrations on negative numbers
Posted: Nov 27, 2012 3:33 PM
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Robert Hansen says
>How to recognize convention and the way it is developed.

I'll add it wasn't developed without a lot of worry and disagreement - even vehement denunciations of what we take for granted today. See:
http://plus.maths.org/content/negative-math

Barry Manzur also discusses (somewhat less satisfactorily in my opinion, but worthwhile) in "Imagining Numbers" --Chapter "Justifying Laws" (particularly Ditsributibve Law, and as James Elander points out, 1 as identity for mult.)

For myself --I like to have a reasonable model (reasonable for me.) The one that comes to mind most readily is a game of poker, with winning (pos.) losing (neg.) and the fantasy of being able to reverse time to "un-lose" N times. If I un-lose a $3 loss 5 times (which I model as -3 x -5), where am I?

Cheers,
Joe N


Date Subject Author
11/27/12
Read Some important demonstrations on negative numbers
Peter Duveen
11/27/12
Read Re: Some important demonstrations on negative numbers
James Elander
11/27/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
11/27/12
Read Re: Some important demonstrations on negative numbers
Joe Niederberger
11/27/12
Read Re: Some important demonstrations on negative numbers
Clyde Greeno @ MALEI
11/27/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
11/27/12
Read Re: Some important demonstrations on negative numbers
Peter Duveen
11/28/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
11/27/12
Read Re: Some important demonstrations on negative numbers
Joe Niederberger
11/27/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
11/27/12
Read Re: Some important demonstrations on negative numbers
Joe Niederberger
11/28/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
11/27/12
Read Re: Some important demonstrations on negative numbers
Joe Niederberger
11/28/12
Read Re: Some important demonstrations on negative numbers
GS Chandy
11/28/12
Read Re: Some important demonstrations on negative numbers
GS Chandy
11/28/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
11/28/12
Read Re: Some important demonstrations on negative numbers
Peter Duveen
11/28/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
11/28/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
11/29/12
Read Re: Some important demonstrations on negative numbers
kirby urner
11/28/12
Read Re: Some important demonstrations on negative numbers
Peter Duveen
11/28/12
Read Re: Some important demonstrations on negative numbers
syeds
11/28/12
Read Re: Some important demonstrations on negative numbers
GS Chandy
11/28/12
Read Re: Some important demonstrations on negative numbers
Joe Niederberger
11/28/12
Read Re: Some important demonstrations on negative numbers
Paul A. Tanner III
11/28/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
11/29/12
Read Re: Some important demonstrations on negative numbers
kirby urner
11/28/12
Read Re: Some important demonstrations on negative numbers
Joe Niederberger
11/29/12
Read Re: Some important demonstrations on negative numbers
Paul A. Tanner III
11/28/12
Read Re: Some important demonstrations on negative numbers
Jonathan Crabtree
11/28/12
Read Re: Some important demonstrations on negative numbers
Joe Niederberger
11/29/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
11/28/12
Read Re: Some important demonstrations on negative numbers
Joe Niederberger
11/29/12
Read Re: Some important demonstrations on negative numbers
Peter Duveen
11/29/12
Read Re: Some important demonstrations on negative numbers
Peter Duveen
11/29/12
Read Re: Some important demonstrations on negative numbers
Joe Niederberger
11/30/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
11/29/12
Read Re: Some important demonstrations on negative numbers
Joe Niederberger
11/29/12
Read Re: Some important demonstrations on negative numbers
Joe Niederberger
11/29/12
Read Re: Some important demonstrations on negative numbers
Peter Duveen
11/29/12
Read Re: Some important demonstrations on negative numbers
Joe Niederberger
11/29/12
Read Re: Some important demonstrations on negative numbers
Jonathan Crabtree
11/29/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
11/29/12
Read Re: Some important demonstrations on negative numbers
Jonathan Crabtree
11/30/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
11/29/12
Read Re: Some important demonstrations on negative numbers
Joe Niederberger
11/30/12
Read Re: Some important demonstrations on negative numbers
Joe Niederberger
11/30/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
11/30/12
Read Re: Some important demonstrations on negative numbers
Joe Niederberger
11/30/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
11/30/12
Read Re: Some important demonstrations on negative numbers
Joe Niederberger
11/30/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
11/30/12
Read Re: Some important demonstrations on negative numbers
Joe Niederberger
11/30/12
Read Re: Some important demonstrations on negative numbers
Jonathan Crabtree
11/30/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
11/30/12
Read Re: Some important demonstrations on negative numbers
Clyde Greeno @ MALEI
11/30/12
Read Re: Some important demonstrations on negative numbers
Joe Niederberger
11/30/12
Read Re: Some important demonstrations on negative numbers
Clyde Greeno @ MALEI
11/30/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
12/1/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
11/30/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
11/30/12
Read Re: Some important demonstrations on negative numbers
Clyde Greeno
12/1/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
11/30/12
Read Re: Some important demonstrations on negative numbers
Jonathan Crabtree
12/1/12
Read Re: Some important demonstrations on negative numbers
Joe Niederberger
12/1/12
Read Re: Some important demonstrations on negative numbers
Robert Hansen
12/8/12
Read Re: Some important demonstrations on negative numbers > a MACS syllabus
Clyde Greeno @ MALEI
12/1/12
Read Re: Some important demonstrations on negative numbers
Joe Niederberger
12/2/12
Read Re: Some important demonstrations on negative numbers
Jonathan Crabtree
12/2/12
Read Re: Some important demonstrations on negative numbers > Wallis/Pycior
Clyde Greeno @ MALEI
12/3/12
Read Re: Some important demonstrations on negative numbers > Wallis/Pycior
Robert Hansen

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