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Topic: Non-Euclidean Arithmetic
Replies: 108   Last Post: Sep 13, 2012 3:39 PM

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Robert Hansen

Posts: 7,529
From: Florida
Registered: 6/22/09
Re: Non-Euclidean Arithmetic
Posted: Sep 3, 2012 7:46 PM
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On Sep 3, 2012, at 12:38 PM, Paul Tanner <upprho@gmail.com> wrote:

> He is pointing out that there is a problem with the usual way of
> talking about multiplication as repeated addition.


I know, but there isn't a problem.

>
> For example: The phrase "5 added to itself once" can be taken to mean
> 5 + 5. Likewise the phrases "5 added to itself twice and "5 added to
> itself three times" respectively can be taken to mean 5 + 5 + 5 and 5
> + 5 + 5 + 5. And so on.


The teacher shows how it is to be taken on the board, dozens of times.

There is no problem.

Bob Hansen




Date Subject Author
9/1/12
Read Non-Euclidean Arithmetic
Jonathan Crabtree
9/1/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/2/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/3/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/3/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/3/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/4/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/4/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/4/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/5/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/5/12
Read Re: Non-Euclidean Arithmetic
Robert Hansen
9/6/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/1/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/1/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/1/12
Read Re: Non-Euclidean Arithmetic
Wayne Bishop
9/1/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/2/12
Read Re: Non-Euclidean Arithmetic
Robert Hansen
9/3/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/3/12
Read Re: Non-Euclidean Arithmetic
Robert Hansen
9/5/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/3/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/3/12
Read Re: Non-Euclidean Arithmetic
Robert Hansen
9/5/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/3/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/3/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/4/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/5/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/5/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/5/12
Read Re: Non-Euclidean Arithmetic
Robert Hansen
9/5/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/5/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/5/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/5/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/5/12
Read Re: Non-Euclidean Arithmetic
Robert Hansen
9/5/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/6/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/8/12
Read Re: Non-Euclidean Arithmetic
Robert Hansen
9/7/12
Read Re: Non-Euclidean Arithmetic
Jonathan Crabtree
9/8/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/8/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/10/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/10/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/10/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/10/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/10/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/8/12
Read Re: Non-Euclidean Arithmetic
Robert Hansen
9/8/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/8/12
Read Re: Non-Euclidean Arithmetic
Robert Hansen
9/8/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/8/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/8/12
Read Re: Non-Euclidean Arithmetic
Jonathan Crabtree
9/9/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/8/12
Read Re: Non-Euclidean Arithmetic
Clyde Greeno @ MALEI
9/8/12
Read Re: Non-Euclidean Arithmetic
Jonathan Crabtree
9/8/12
Read Re: Non-Euclidean Arithmetic
Jonathan Crabtree
9/8/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/8/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/9/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/9/12
Read Re: Non-Euclidean Arithmetic
Robert Hansen
9/9/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/9/12
Read Re: Non-Euclidean Arithmetic
Robert Hansen
9/9/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/9/12
Read Re: Non-Euclidean Arithmetic
Robert Hansen
9/10/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/10/12
Read Re: Non-Euclidean Arithmetic
Wayne Bishop
9/10/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/9/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/10/12
Read Re: Non-Euclidean Arithmetic
Clyde Greeno @ MALEI
9/9/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/9/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/9/12
Read Re: Non-Euclidean Arithmetic
Wayne Bishop
9/9/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/10/12
Read Re: Non-Euclidean Arithmetic
Wayne Bishop
9/10/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/9/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/9/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/10/12
Read Re: Non-Euclidean Arithmetic
Clyde Greeno @ MALEI
9/10/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/10/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/10/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/10/12
Read Re: Non-Euclidean Arithmetic
Clyde Greeno @ MALEI
9/10/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/11/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/11/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/11/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/11/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/11/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/11/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/11/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/12/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/12/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/12/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/12/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/13/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/13/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/13/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/11/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/11/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/11/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/11/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/11/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/11/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/11/12
Read Re: Non-Euclidean Arithmetic
israeliteknight
9/11/12
Read Re: Non-Euclidean Arithmetic
Joe Niederberger
9/12/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/12/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/12/12
Read Re: Non-Euclidean Arithmetic
Paul A. Tanner III
9/12/12
Read Re: Non-Euclidean Arithmetic
kirby urner
9/11/12
Read Re: Non-Euclidean Arithmetic
Jonathan Crabtree

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