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

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Dan Christensen

Posts: 2,252
Registered: 7/9/08
Re: No need for spaghetti "axioms".
Posted: Mar 5, 2014 11:50 PM
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On Wednesday, March 5, 2014 11:03:06 PM UTC-5, John Gabriel wrote:
> On Wednesday, 5 March 2014 20:32:58 UTC+2, Dan Christensen wrote:
>
>
>

> > A number is an element of the set N as defined by Peano's axioms as above.
>
>
>
> As I thought, you have no idea what is a number.

Peano's rot does not define natural numbers, it defines the properties of natural numbers. Did we not agree to this earlier? Have you gone back to your original wrong ideas? :-)
>

Play with words all you want, John Gabriel. If you want to do mathematical proofs about natural numbers, you need a list of their essential properties from which you can derive other properties. You seem never to have written ANY mathematical proofs, or you wouldn't be saying all these stupid things.


>
>
> You first said:
>
>
>
> 1. Peano's [axioms] defines natural numbers.
>


They certainly do for the purpose of writing proofs.

>
>
> And then,
>
>
>
> 2. Peano's [axioms] defines the properties of natural numbers.
>
>


It amounts to the same thing. What is your problem?

>
> > But this is just an informal comment. Construct your own more convoluted sentence if you don't like it. It doesn't really matter.
>
>
>
> Nonsense. I am not about to do any such thing. A great deal of ingenuity and thought went into the construction of number.


Peano's axioms are a marvel of intellectual progress, far surpassing your hero's attempt to define numbers, significant though it was in its day and for many centuries. In the present day, however, his work is of no more use than slings and arrows in modern warfare.


> > To begin formally deriving number theory, however, we just list Peano's axioms at the beginning of each proof an proceed, using the rules and axioms of logic and set theory.
>
>
>
> I have studied mainstream mathematics. I know very well what number theory is. :-)


Again, you seem to have no idea of how proofs are written or how formal definitions are used in practice.


>
> I have been claiming for a few decades that I am the first in 2000 years to understand what the Ancient Greeks were trying to do.


Gosh! You must be smart! ;^b


>
> Every professor of mathematics I have communicated with has NO IDEA what is a number or a magnitude.
>


Unlike you, they do know something about writing proofs.

>
>
> In one sentence:
>
>
>
> "A number is the *measure* of a magnitude."
>

[snip]

Very poetic, but not very useful, I'm afraid.

Dan
Download my DC Proof 2.0 software at http://www.dcproof.com
Visit my new math blog at http://www.dcproof.wordpress.com


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
Read Re: Infinity: The Story So Far
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
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Virgil
2/26/14
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Dan Christensen
2/26/14
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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
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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
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
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Brian Q. Hutchings
2/26/14
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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
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Dan Christensen
2/26/14
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2/27/14
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2/27/14
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Dan Christensen
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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
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Dan Christensen
2/27/14
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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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2/28/14
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2/28/14
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Dan Christensen
2/27/14
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2/27/14
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Dan Christensen
2/27/14
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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
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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
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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thenewcalculus@gmail.com
2/28/14
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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
2/28/14
Read Re: Infinity: The Story So Far
John Gabriel
2/28/14
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2/28/14
Read The Spaghetti Axioms were meant to...
John Gabriel
2/28/14
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fom
2/28/14
Read Re: The Spaghetti Axioms were meant to...
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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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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
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3/1/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/1/14
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3/1/14
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3/2/14
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Wizard-Of-Oz
3/1/14
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3/1/14
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3/2/14
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3/1/14
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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
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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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Dan Christensen
3/3/14
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John Gabriel
3/3/14
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Dan Christensen
3/3/14
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Wizard-Of-Oz
3/3/14
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3/3/14
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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
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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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thenewcalculus@gmail.com
3/4/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/4/14
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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
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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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3/4/14
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ross.finlayson@gmail.com
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
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".
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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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thenewcalculus@gmail.com
3/5/14
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Dan Christensen
3/5/14
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thenewcalculus@gmail.com
3/5/14
Read Re: No need for spaghetti "axioms".
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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thenewcalculus@gmail.com
3/6/14
Read Re: No need for spaghetti "axioms".
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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New Balance
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!
Dan Christensen
3/5/14
Read Re: Peano's rot in action for you!
thenewcalculus@gmail.com
3/5/14
Read Re: Peano's rot in action for you!
Dan Christensen
3/5/14
Read Re: Peano's rot in action for you!
Peter Percival
3/5/14
Read Re: Peano's rot in action for you!
thenewcalculus@gmail.com
3/5/14
Read Re: Peano's rot in action for you!
Martin Shobe
3/5/14
Read Re: Peano's rot in action for you!
Wizard-Of-Oz
3/5/14
Read Re: Peano's rot in action for you!
Wizard-Of-Oz
3/5/14
Read Re: Peano's rot in action for you!
Wizard-Of-Oz
3/5/14
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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