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Topic: Keith Devlin's Online Course
Replies: 88   Last Post: Jan 5, 2014 9:31 PM

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Joe Niederberger

Posts: 3,073
Registered: 10/12/08
Re: Keith Devlin's Online Course
Posted: Dec 31, 2013 12:33 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

R Hansen says:
>It?s a ?consistency? proof. Students in algebra do not yet have sufficient background to justify these things deeply with formal analysis.

A classical way to demonstrate is to "assume" the distributive law must be upheld and show the usual sign law must follow. I remember reading such a proof by, I believe, Euler, and he did it in one very long, run on sentence.
(Easily done with a picture though!)

Cheers,
Joe N


Date Subject Author
12/24/13
Read Keith Devlin's Online Course
Robert Hansen
12/24/13
Read Re: Keith Devlin's Online Course
kirby urner
12/24/13
Read Re: Keith Devlin's Online Course
Robert Hansen
12/27/13
Read Re: Keith Devlin's Online Course
kirby urner
12/29/13
Read Re: Keith Devlin's Online Course
Robert Hansen
12/29/13
Read Re: Keith Devlin's Online Course
kirby urner
12/30/13
Read Re: Keith Devlin's Online Course
Robert Hansen
12/30/13
Read Re: Keith Devlin's Online Course
kirby urner
12/30/13
Read Re: Keith Devlin's Online Course
Robert Hansen
1/1/14
Read Re: Keith Devlin's Online Course
kirby urner
1/1/14
Read Re: Keith Devlin's Online Course
Robert Hansen
1/1/14
Read Re: Keith Devlin's Online Course
kirby urner
1/1/14
Read Why Casual Programming doesn't Exist
Robert Hansen
1/2/14
Read Re: Why Casual Programming doesn't Exist
kirby urner
1/2/14
Read Re: Why Casual Programming doesn't Exist
Robert Hansen
1/5/14
Read Re: Why Casual Programming doesn't Exist
kirby urner
1/5/14
Read Re: Why Casual Programming doesn't Exist
Robert Hansen
1/5/14
Read Re: Why Casual Programming doesn't Exist
kirby urner
1/5/14
Read Re: Why Casual Programming doesn't Exist
Robert Hansen
1/5/14
Read Re: Why Casual Programming doesn't Exist
Robert Hansen
1/5/14
Read Re: Why Casual Programming doesn't Exist
kirby urner
1/5/14
Read Re: Why Casual Programming doesn't Exist
Robert Hansen
1/5/14
Read Re: Why Casual Programming doesn't Exist
kirby urner
1/5/14
Read Re: Why Casual Programming doesn't Exist
Robert Hansen
12/26/13
Read Re: Keith Devlin's Online Course
Joe Niederberger
12/29/13
Read Re: Keith Devlin's Online Course
Robert Hansen
12/28/13
Read Re: Keith Devlin's Online Course
GS Chandy
12/28/13
Read Re: Keith Devlin's Online Course
Joe Niederberger
12/30/13
Read Re: Keith Devlin's Online Course
kirby urner
12/29/13
Read Re: Keith Devlin's Online Course
GS Chandy
12/29/13
Read Re: Keith Devlin's Online Course
Robert Hansen
12/29/13
Read Re: Keith Devlin's Online Course
Robert Hansen
12/29/13
Read Re: Keith Devlin's Online Course
GS Chandy
12/29/13
Read Re: Keith Devlin's Online Course
GS Chandy
12/30/13
Read Re: Keith Devlin's Online Course
Robert Hansen
12/29/13
Read Re: Keith Devlin's Online Course
Joe Niederberger
12/30/13
Read Re: Keith Devlin's Online Course
Anna Roys
12/29/13
Read Re: Keith Devlin's Online Course
Joe Niederberger
12/30/13
Read Re: Keith Devlin's Online Course
Robert Hansen
12/29/13
Read Re: Keith Devlin's Online Course
Joe Niederberger
12/30/13
Read Re: Keith Devlin's Online Course
Robert Hansen
12/30/13
Read Re: Keith Devlin's Online Course
GS Chandy
12/31/13
Read Re: Keith Devlin's Online Course
GS Chandy
12/30/13
Read Re: Keith Devlin's Online Course
Joe Niederberger
12/30/13
Read Re: Keith Devlin's Online Course
Joe Niederberger
12/31/13
Read Re: Keith Devlin's Online Course
Robert Hansen
12/30/13
Read Re: Keith Devlin's Online Course
Joe Niederberger
12/30/13
Read Re: Keith Devlin's Online Course
Robert Hansen
1/1/14
Read Re: Keith Devlin's Online Course
Anna Roys
1/2/14
Read Re: Keith Devlin's Online Course
Robert Hansen
12/30/13
Read Re: Keith Devlin's Online Course
Joe Niederberger
12/30/13
Read Re: Keith Devlin's Online Course
Joe Niederberger
12/30/13
Read Re: Keith Devlin's Online Course
Joe Niederberger
12/31/13
Read Re: Keith Devlin's Online Course
GS Chandy
12/31/13
Read Re: Keith Devlin's Online Course
GS Chandy
12/31/13
Read Re: Keith Devlin's Online Course
GS Chandy
12/31/13
Read Re: Keith Devlin's Online Course
Joe Niederberger
12/31/13
Read Re: Keith Devlin's Online Course
Joe Niederberger
12/31/13
Read Re: Keith Devlin's Online Course
Louis Talman
1/1/14
Read Re: Keith Devlin's Online Course
Robert Hansen
1/1/14
Read Re: Keith Devlin's Online Course
GS Chandy
1/1/14
Read Re: Keith Devlin's Online Course
Robert Hansen
1/1/14
Read Re: Keith Devlin's Online Course
Louis Talman
1/1/14
Read Re: Keith Devlin's Online Course
GS Chandy
1/1/14
Read Re: Keith Devlin's Online Course
Robert Hansen
1/1/14
Read Re: Keith Devlin's Online Course
GS Chandy
1/2/14
Read Re: Keith Devlin's Online Course
GS Chandy
1/2/14
Read Re: Keith Devlin's Online Course
GS Chandy
1/2/14
Read Re: Keith Devlin's Online Course
Robert Hansen
1/2/14
Read Re: Keith Devlin's Online Course
GS Chandy
1/2/14
Read Re: Keith Devlin's Online Course
Robert Hansen
1/2/14
Read Re: Keith Devlin's Online Course
Louis Talman
1/3/14
Read Re: Keith Devlin's Online Course
Robert Hansen
1/3/14
Read Re: Keith Devlin's Online Course
Louis Talman
1/2/14
Read Re: Keith Devlin's Online Course
GS Chandy
1/2/14
Read Re: Keith Devlin's Online Course
GS Chandy
1/2/14
Read Re: Keith Devlin's Online Course
Robert Hansen
1/2/14
Read Re: Keith Devlin's Online Course
GS Chandy
1/3/14
Read Re: Keith Devlin's Online Course
Robert Hansen
1/3/14
Read Re: Keith Devlin's Online Course
GS Chandy
1/3/14
Read Re: Keith Devlin's Online Course
Robert Hansen
1/3/14
Read Re: Keith Devlin's Online Course
Robert Hansen
1/3/14
Read Re: Keith Devlin's Online Course
GS Chandy
1/4/14
Read Re: Keith Devlin's Online Course
Robert Hansen
1/4/14
Read Re: Keith Devlin's Online Course
GS Chandy
1/4/14
Read Re: Keith Devlin's Online Course
Robert Hansen
1/5/14
Read Re: Keith Devlin's Online Course
GS Chandy
1/5/14
Read Re: Keith Devlin's Online Course
Bishop, Wayne
1/5/14
Read Re: Keith Devlin's Online Course
Robert Hansen

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