Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Mathematics as a language
Replies: 35   Last Post: Nov 8, 2010 1:53 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Daryl McCullough

Posts: 2,871
Registered: 1/29/05
Re: Mathematics as a language
Posted: Nov 4, 2010 7:11 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

herbzet says...
>
>
>
>Daryl McCullough wrote:

>> herbzet says...
>> >Aatu Koskensilta wrote:
>> >> herbzet writes:
>> >> > Bill Taylor wrote:
>> >> >

>> >> >> Or whether the number 6 really exists. Does it?
>> >> >
>> >> > It *could* exist -- therefore, mathematically, it *does* exist.

>> >>
>> >> This is a traditional and appealing idea. But just what is meant by
>> >> "could" here? What sort of possibility is involved?

>> >
>> >For rhetorical punch, I purposely left out the modifier, which is "logical".
>> >
>> >What logically could exist -- that is, what is not inherently self-
>> >contradictory -- has mathematical existence.

>>
>> The problem with this is that there could be two different
>> mathematical objects, A and B, such that neither is inherently
>> self-contradictory, but the existence of A contradicts the
>> existence of B. They can't, therefore, both exist.

>
>Hard to answer in the absence of a concrete example.


Well, the existence of a set that cannot be well-ordered contradicts
the existence of a well-ordering of the universe of sets. Both are
consistent, but they can't both exist.

--
Daryl McCullough
Ithaca, NY



Date Subject Author
11/2/10
Read Re: Mathematics as a language
Aatu Koskensilta
11/3/10
Read Re: Mathematics as a language
herb z
11/3/10
Read Re: Mathematics as a language
Herman Jurjus
11/3/10
Read Re: Mathematics as a language
Marshall
11/3/10
Read Re: Mathematics as a language
Herman Jurjus
11/4/10
Read Re: Mathematics as a language
herb z
11/4/10
Read Re: Mathematics as a language
Marshall
11/5/10
Read Re: Mathematics as a language
herb z
11/5/10
Read Re: Mathematics as a language
Herman Jurjus
11/6/10
Read Re: Mathematics as a language
herb z
11/6/10
Read Re: Mathematics as a language
James Dolan
11/6/10
Read Re: Mathematics as a language
Tim Little
11/6/10
Read Re: Mathematics as a language
Daryl McCullough
11/6/10
Read Re: Mathematics as a language
Marshall
11/6/10
Read Re: Mathematics as a language
Brian Chandler
11/6/10
Read Re: Mathematics as a language
Tim Little
11/7/10
Read Re: Mathematics as a language
lwalke3@lausd.net
11/8/10
Read Re: Mathematics as a language
Brian Chandler
11/7/10
Read Re: Mathematics as a language
herb z
11/7/10
Read Re: Mathematics as a language
Daryl McCullough
11/8/10
Read Re: Mathematics as a language
herb z
11/3/10
Read Re: Mathematics as a language
lwalke3@lausd.net
11/3/10
Read Re: Mathematics as a language
Marshall
11/4/10
Read Re: Mathematics as a language
herb z
11/4/10
Read Re: Mathematics as a language
herb z
11/4/10
Read Re: Mathematics as a language
herb z
11/3/10
Read Re: Mathematics as a language
Daryl McCullough
11/4/10
Read Re: Mathematics as a language
Bill Taylor
11/4/10
Read Re: Mathematics as a language
Daryl McCullough
11/5/10
Read Re: Mathematics as a language
herb z
11/4/10
Read Re: Mathematics as a language
herb z
11/4/10
Read Re: Mathematics as a language
Daryl McCullough
11/5/10
Read Re: Mathematics as a language
herb z
11/5/10
Read Re: Mathematics as a language
Daryl McCullough
11/4/10
Read Re: Mathematics as a language
VK

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.