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

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Joe Niederberger

Posts: 2,635
Registered: 10/12/08
Re: Non-Euclidean Arithmetic
Posted: Sep 5, 2012 12:16 PM
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Kirby says:
>What I have been showing is "repeated addition" will take us a long way, if we extend it to include what others call "scaling" -- we're repeatedly adding length.

I see it a bit differently. We have pre-mathematical (perhaps proto-mathematical) intuitions about the world.
Replication, and growing (or shrinking) are quite different from that viewpoint. We can connect both of these as abstracted concepts to what we learn about the formal symbolic manipulations we call multiplication (pick your numbers N - C) -- which have course evolved over a long period. Its perhaps a bit surprising that two seemingly dissimilar concepts should both map to mult.
Think of babies: replicating babies, growing babies, rather different. Once we have found a connection, we can amuse ourselves by finding deeper connections, such as the fact that growing babies involves replication of cells, which is something that people long ago didn't know for sure. Perhaps all growing involves replication in this physical world.

Joe N


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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