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Topic: Infinity: The Story So Far
Replies: 298   Last Post: Apr 7, 2014 7:30 AM

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thenewcalculus@gmail.com

Posts: 1,616
Registered: 11/1/13
Re: Infinity: The Story So Far
Posted: Mar 6, 2014 12:27 AM
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Any good mathematics educator will know that you can only learn and understand new concepts when you can associate these to existing well-formed concepts.

Today you have graduates who can use advanced calculus theorems, but those same graduates have a very superficial understanding of what they are using. It's no surprise because they can't even tell you what is a number. Well, their professors don't know, so how could they...

Mathematics according to webster:

"...the science of numbers and their operations, interrelations, combinations, generalizations, and abstractions and of space configurations and their structure, measurement, transformations, and generalizations"

There are two words in that description which say everything: number and measurement. The rest is unnecessary because it follows from further investigation.

Most students find math difficult because they never have any real foundation. Since set theory was introduced in the USA, math performance has gone south at an alarming rate. Today the USA is number 37 in the world when it comes to math. Reason: the kind of shit you are peddling here on sci.math.

The reification of number involves measurement, not sets. Certainly NONE of Peano's juvenile ideas. :-)



Date Subject Author
2/25/14
Read Infinity: The Story So Far
Dan Christensen
2/25/14
Read Re: Infinity: The Story So Far
Brian Q. Hutchings
2/25/14
Read Re: Infinity: The Story So Far
ross.finlayson@gmail.com
2/25/14
Read Re: Infinity: The Story So Far
ross.finlayson@gmail.com
2/26/14
Read Re: Infinity: The Story So Far
Leo Sgouros
2/26/14
Read Re: Infinity: The Story So Far
ross.finlayson@gmail.com
2/26/14
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William Elliot
3/1/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/2/14
Read Re: Infinity: The Story So Far
Brian Q. Hutchings
2/26/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/26/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/26/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/26/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/26/14
Read Re: Infinity: The Story So Far
Virgil
2/26/14
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Dan Christensen
2/26/14
Read Re: Infinity: The Story So Far
Martin Shobe
2/26/14
Read Re: Infinity: The Story So Far
ross.finlayson@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
Martin Shobe
2/27/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
Virgil
2/26/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/26/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/26/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/26/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/26/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/26/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/26/14
Read show a canonical base-one accounting by induction on base-eleven
Brian Q. Hutchings
2/26/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/26/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/26/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/26/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/26/14
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Brian Q. Hutchings
2/27/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
Virgil
2/27/14
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mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
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2/27/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/27/14
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2/27/14
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Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
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2/28/14
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mueckenh@rz.fh-augsburg.de
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2/27/14
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Virgil
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fom
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mueckenh@rz.fh-augsburg.de
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Read Re: Infinity: The Story So Far
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thenewcalculus@gmail.com
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mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
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fom
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fom
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thenewcalculus@gmail.com
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Read Re: Infinity: The Story So Far
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mueckenh@rz.fh-augsburg.de
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mueckenh@rz.fh-augsburg.de
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mueckenh@rz.fh-augsburg.de
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2/27/14
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mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
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mueckenh@rz.fh-augsburg.de
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2/26/14
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Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
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2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
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Read Re: Infinity: The Story So Far
Martin Shobe
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Martin Shobe
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Martin Shobe
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Martin Shobe
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
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Martin Shobe
2/27/14
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Read Re: Infinity: The Story So Far
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2/27/14
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thenewcalculus@gmail.com
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thenewcalculus@gmail.com
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2/27/14
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2/27/14
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Dan Christensen
2/27/14
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thenewcalculus@gmail.com
2/27/14
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Dan Christensen
2/27/14
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thenewcalculus@gmail.com
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Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
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Dan Christensen
2/27/14
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thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
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thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/28/14
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thenewcalculus@gmail.com
2/28/14
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Dan Christensen
2/27/14
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2/28/14
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Dan Christensen
2/28/14
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Read The Spaghetti Axioms were meant to...
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fom
2/28/14
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thenewcalculus@gmail.com
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Dan Christensen
3/1/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/1/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/1/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/1/14
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Dan Christensen
3/1/14
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thenewcalculus@gmail.com
3/2/14
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Wizard-Of-Oz
3/1/14
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3/2/14
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3/1/14
Read Re: Infinity: The Story So Far
Wizard-Of-Oz
3/1/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/2/14
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3/1/14
Read Re: Infinity: The Story So Far
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3/2/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/2/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/2/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/2/14
Read Re: Infinity: The Story So Far
John Gabriel
3/2/14
Read Re: Infinity: The Story So Far
Wizard-Of-Oz
3/2/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/2/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/2/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/2/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/2/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/2/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/2/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/2/14
Read Re: Infinity: The Story So Far
John Gabriel
3/2/14
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3/3/14
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3/3/14
Read Re: Infinity: The Story So Far
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3/3/14
Read Re: Infinity: The Story So Far
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3/3/14
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3/3/14
Read Re: Infinity: The Story So Far
Virgil
3/2/14
Read Re: Infinity: The Story So Far - BG's failed attempt at constructing numbers
Wizard-Of-Oz
3/2/14
Read How I established my axioms.
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3/2/14
Read Re: How I established my axioms.
Jürgen R.
3/2/14
Read Re: How I established my axioms.
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3/3/14
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New Balance
3/2/14
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Wizard-Of-Oz
3/2/14
Read Re: How I established my axioms.
New Balance
3/4/14
Read Infinity does not exist and Peano was a moron.
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3/4/14
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3/4/14
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Dan Christensen
3/4/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/4/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/4/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/4/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/5/14
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3/5/14
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Dan Christensen
3/5/14
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3/4/14
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3/5/14
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ross.finlayson@gmail.com
3/5/14
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Dan Christensen
3/5/14
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ross.finlayson@gmail.com
3/5/14
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Brian Q. Hutchings
3/5/14
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Dan Christensen
3/5/14
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3/5/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/5/14
Read No need for spaghetti "axioms".
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3/5/14
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Dan Christensen
3/5/14
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Dan Christensen
3/5/14
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3/5/14
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Dan Christensen
3/5/14
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3/5/14
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Dan Christensen
3/5/14
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3/5/14
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Dan Christensen
3/6/14
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3/6/14
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Dan Christensen
3/6/14
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Dan Christensen
3/6/14
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thenewcalculus@gmail.com
3/5/14
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YBM
3/6/14
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3/6/14
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3/6/14
Read poster boy for "let's die-a-log
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Read Peano's rot in action for you!
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3/5/14
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Read Re: Infinity: The Story So Far
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thenewcalculus@gmail.com
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Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/11/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/11/14
Read Re: Infinity: The Story So Far
Wizard-Of-Oz
3/11/14
Read Re: Infinity: The Story So Far
Martin Shobe
3/11/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/11/14
Read Re: Infinity: The Story So Far
Martin Shobe
3/11/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/11/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/11/14
Read Re: Infinity: The Story So Far
Martin Shobe
3/11/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/11/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/11/14
Read Re: Infinity: The Story So Far
Martin Shobe
3/12/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/12/14
Read Re: Infinity: The Story So Far
Martin Shobe
3/12/14
Read Re: Infinity: The Story So Far
ross.finlayson@gmail.com

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