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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: 511
Registered: 3/11/12
Re: Infinity: The Story So Far
Posted: Mar 11, 2014 3:46 PM
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On 3/11/2014 2:33 PM, John Gabriel wrote:
> On Tuesday, 11 March 2014 21:09:03 UTC+2, Martin Shobe wrote:
>

>> The fact that you failed to construct numbers from geometry does not
>> prove that Peano was an idiot.

>
> If I failed, that means Euclid failed. But it is well known that Euclid did not fail. :-) Therefore, we can conclude that you are an idiot? :-)


I think it's a mistake to hold mathematician from other eras to today's
standards of rigor. Therefore, Euclid gets a pass, but you don't

> Of course Peano was an idiot. I proved it quite easily. You don't have natural numbers without fractions. Period.

You proved that John was an idiot quite easily, but that's setting a
rather low bar.

>>>> > 3. A ratio of equal magnitudes, say AB : AB or CD : CD allows us to
>>>> use either as the standard of measurement, that is, the unit. The unit
>>>> is a ratio of equal magnitudes.

>
>>> Of course there are. They are called incommensurable magnitudes. I constructed the RATIONAL numbers. There are no other numbers. Perhaps a reread may help? :-)
>
>> What part is false? The part that says AB : AB is a unit? Or that AB is
>> a multiple of that unit?

>
> If AB:AB is a unit, then AB is also a multiple of that unit. What you wrote is nonsense.


That's what I said. What you've failed to realize is that this is true
for every magnitude. So every magnitude is a multiple of a unit and
therefore not incommensurable.

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
Read Re: Infinity: The Story So Far
ross.finlayson@gmail.com
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2/26/14
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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
Read Re: Infinity: The Story So Far
Dan Christensen
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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
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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
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
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Virgil
2/26/14
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Dan Christensen
2/26/14
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thenewcalculus@gmail.com
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Dan Christensen
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Brian Q. Hutchings
2/26/14
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Dan Christensen
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Dan Christensen
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3/2/14
Read Re: Infinity: The Story So Far
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Dan Christensen
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Dan Christensen
3/2/14
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3/2/14
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3/3/14
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3/3/14
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3/2/14
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3/2/14
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3/4/14
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3/4/14
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3/4/14
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3/4/14
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3/4/14
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Dan Christensen
3/4/14
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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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3/5/14
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3/5/14
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3/5/14
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3/5/14
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Dan Christensen
3/5/14
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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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