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

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Martin Shobe

Posts: 352
Registered: 3/11/12
Re: Peano's rot in action for you!
Posted: Mar 5, 2014 2:32 PM
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On 3/5/2014 12:25 PM, John Gabriel wrote:
> So,
> 0 = {}
> 1 = { {} } = {0}
> 2 = { {}, {{}} } = {0, 1}
>
> We know 1 - 0 = 1
>
> But using Peano's crap:
>
> { {} } - {} = {}
> 1 - 0 = 0
>
> Interesting, we can't even subtract using Peano's rot.


No. It's just you who can't subtract. Mathematicians would say

{ {} } - {} = { {} }
1 - 0 = 1

> We can try defining the set objects as:
>
> 0 = { }
> 1 = { {} } = { 0 }
> 2 = { { { } } } = { 1 }
>
> Now, 2 - 0 = 2
>
> But using Peano:
>
> { {{ }} } - {} = { {} }
> 2 - 0 = 1


Once again, it's just you who can't subtract. Mathematicians would say

{ {{}} } - {} = { {{}} }
2 - 0 = 2

> Interesting, and moron academics are actually teaching this rot in university lecture rooms.

I've never encountered it.

> Can you believe it? These are Peano's "sound axioms"! :-) What a joke!

I don't believe it. Those aren't Peano's axioms, but Von Neumann's
construction of the ordinals.

Martin Shobe



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
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ross.finlayson@gmail.com
2/26/14
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2/26/14
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ross.finlayson@gmail.com
2/26/14
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3/1/14
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Dan Christensen
3/2/14
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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
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thenewcalculus@gmail.com
2/26/14
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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
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Martin Shobe
2/27/14
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mueckenh@rz.fh-augsburg.de
2/27/14
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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
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2/26/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/26/14
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2/26/14
Read Re: Infinity: The Story So Far
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2/26/14
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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
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2/26/14
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2/26/14
Read Re: Infinity: The Story So Far
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2/26/14
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2/27/14
Read Re: Infinity: The Story So Far
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2/27/14
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2/27/14
Read Re: Infinity: The Story So Far
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2/27/14
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mueckenh@rz.fh-augsburg.de
2/27/14
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2/27/14
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2/27/14
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2/27/14
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2/27/14
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thenewcalculus@gmail.com
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Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
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Read Re: Infinity: The Story So Far
Dan Christensen
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
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
2/28/14
Read Re: Infinity: The Story So Far
Martin Shobe
2/28/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/28/14
Read Re: Infinity: The Story So Far
Martin Shobe
2/28/14
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2/28/14
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2/28/14
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2/27/14
Read Re: Infinity: The Story So Far
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2/27/14
Read Re: Infinity: The Story So Far
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2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
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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
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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
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
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
Dan Christensen
2/28/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/28/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
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Dan Christensen
2/28/14
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2/28/14
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2/28/14
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2/28/14
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2/28/14
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2/28/14
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2/28/14
Read Re: The Spaghetti Axioms were meant to...
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Dan Christensen
3/1/14
Read Re: Infinity: The Story So Far
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3/1/14
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3/1/14
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3/1/14
Read Re: Infinity: The Story So Far
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3/1/14
Read Re: Infinity: The Story So Far
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
thenewcalculus@gmail.com
3/2/14
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Wizard-Of-Oz
3/1/14
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thenewcalculus@gmail.com
3/1/14
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
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
Read Re: Infinity: The Story So Far
Dan Christensen
3/3/14
Read Re: Infinity: The Story So Far
John Gabriel
3/3/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/3/14
Read Re: Infinity: The Story So Far
Wizard-Of-Oz
3/3/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
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.
thenewcalculus@gmail.com
3/2/14
Read Re: How I established my axioms.
Jürgen R.
3/2/14
Read Re: How I established my axioms.
thenewcalculus@gmail.com
3/3/14
Read Re: How I established my axioms.
New Balance
3/2/14
Read Re: How I established my axioms.
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.
thenewcalculus@gmail.com
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
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
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/5/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/5/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/4/14
Read Re: Infinity: The Story So Far
ross.finlayson@gmail.com
3/5/14
Read Re: Infinity: The Story So Far
ross.finlayson@gmail.com
3/5/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/5/14
Read Re: Infinity: The Story So Far
ross.finlayson@gmail.com
3/5/14
Read Re: Infinity: The Story So Far
Brian Q. Hutchings
3/5/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/5/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/5/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/5/14
Read No need for spaghetti "axioms".
thenewcalculus@gmail.com
3/5/14
Read Re: No need for spaghetti "axioms".
Dan Christensen
3/5/14
Read Re: No need for spaghetti "axioms".
Dan Christensen
3/5/14
Read Re: No need for spaghetti "axioms".
thenewcalculus@gmail.com
3/5/14
Read Re: No need for spaghetti "axioms".
Dan Christensen
3/5/14
Read Re: No need for spaghetti "axioms".
thenewcalculus@gmail.com
3/5/14
Read Re: No need for spaghetti "axioms".
Dan Christensen
3/5/14
Read Re: No need for spaghetti "axioms".
thenewcalculus@gmail.com
3/5/14
Read Re: No need for spaghetti "axioms".
Dan Christensen
3/6/14
Read Re: No need for spaghetti "axioms".
thenewcalculus@gmail.com
3/6/14
Read Re: No need for spaghetti "axioms".
Dan Christensen
3/6/14
Read Re: No need for spaghetti "axioms".
Dan Christensen
3/6/14
Read Re: No need for spaghetti "axioms".
thenewcalculus@gmail.com
3/5/14
Read Re: No need for spaghetti "axioms".
YBM
3/6/14
Read Re: No need for spaghetti "axioms".
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3/6/14
Read Re: No need for spaghetti "axioms".
thenewcalculus@gmail.com
3/6/14
Read poster boy for "let's die-a-log
Brian Q. Hutchings
3/5/14
Read Peano's rot in action for you!
thenewcalculus@gmail.com
3/5/14
Read Re: Peano's rot in action for you!
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3/5/14
Read Re: Peano's rot in action for you!
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Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/6/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/6/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/6/14
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
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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