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Topic: distinguishability - in context, according to definitions
Replies: 43   Last Post: Feb 22, 2013 10:04 AM

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Shmuel (Seymour J.) Metz

Posts: 3,368
Registered: 12/4/04
Re: distinguishability - in context, according to definitions
Posted: Feb 21, 2013 3:08 AM
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In <CdmdnXiAA4IeLr7MnZ2dnUVZ_gmdnZ2d@giganews.com>, on 02/19/2013
at 11:16 AM, fom <fomJUNK@nyms.net> said:

>They do. But, the nature of identity is treated casually.

By casually do you mean that they did not discuss ontology? IMHO that
would be an issue in a philosophy course, but not in a logic course,
where it's axioms and rules of inference that matter.

>I had written it in a format called WordPerfect

Ouch! Didn't the journal publish requirements for submissions?

>The second paper was submitted to "The Journal of Symbolic Logic".
>I do not believe it had been reviewed at all. The day after
>submission, I received a confirmation email. It addressed me as
>"professor." I had been polite enough to inform them of their
>error. Within 30 minutes I received an angry rejection about
>wasting their time.


Are you sure that the issue was your lack of an academic position?

>Correct. My "stipulation of syntactic equality" is the same as your
>"definition of notation".


The definition of notation gets you formal identities of 1.(0) and
0.(9) to two convergent series; it doesn't give you the proof that
they converge to the same number.

>When I had been badly flamed quite some time ago, the flamer would
>keep insisting that there was no problem with identity


Mathematical or philosophical? From a mathematical perspective all
that matters is the axioms and the rules of inference.

>One has a set of symbols.

What do you mean by symbols? In normal usage the term refers to the
inscriptions appearing in the axioms, not to the universe of
discourse.

>One has a partition on that set of symbols.

See above. Are you referring to a theory or to a model of that theory?

>And, if one is claiming a homomorphism, then one is
>looking at the uniqueness of an induced quotient topology on the
>identification space/decomposition space/quotient space.


You have to start with a topology to have a quotient topology. There
is no need to model theories on topological spaces.

--
Shmuel (Seymour J.) Metz, SysProg and JOAT <http://patriot.net/~shmuel>

Unsolicited bulk E-mail subject to legal action. I reserve the
right to publicly post or ridicule any abusive E-mail. Reply to
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Date Subject Author
2/10/13
Read distinguishability - in context, according to definitions
fom
2/10/13
Read Re: distinguishability - in context, according to definitions
J. Antonio Perez M.
2/10/13
Read Re: distinguishability - in context, according to definitions
fom
2/11/13
Read Re: distinguishability - in context, according to definitions
Shmuel (Seymour J.) Metz
2/11/13
Read Re: distinguishability - in context, according to definitions
fom
2/14/13
Read Re: distinguishability - in context, according to definitions
Shmuel (Seymour J.) Metz
2/14/13
Read Re: distinguishability - in context, according to definitions
fom
2/14/13
Read Re: distinguishability - in context, according to definitions
fom
2/15/13
Read Re: distinguishability - in context, according to definitions
fom
2/15/13
Read Re: distinguishability - in context, according to definitions
Shmuel (Seymour J.) Metz
2/16/13
Read Re: distinguishability - in context, according to definitions
fom
2/17/13
Read Re: distinguishability - in context, according to definitions
Shmuel (Seymour J.) Metz
2/19/13
Read Re: distinguishability - in context, according to definitions
fom
2/21/13
Read Re: distinguishability - in context, according to definitions
Shmuel (Seymour J.) Metz
2/15/13
Read Re: distinguishability - in context, according to definitions
fom
2/15/13
Read Re: distinguishability - in context, according to definitions
fom
2/14/13
Read Re: distinguishability - in context, according to definitions
fom
2/17/13
Read Re: distinguishability - in context, according to definitions
Shmuel (Seymour J.) Metz
2/17/13
Read Re: distinguishability - in context, according to definitions
fom
2/17/13
Read Re: distinguishability - in context, according to definitions
Barb Knox
2/18/13
Read Re: distinguishability - in context, according to definitions
fom
2/19/13
Read Re: distinguishability - in context, according to definitions
Shmuel (Seymour J.) Metz
2/19/13
Read Re: distinguishability - in context, according to definitions
fom
2/21/13
Read Re: distinguishability - in context, according to definitions
Shmuel (Seymour J.) Metz
2/19/13
Read Re: distinguishability - in context, according to definitions
Shmuel (Seymour J.) Metz
2/19/13
Read Re: distinguishability - in context, according to definitions
fom
2/21/13
Read Re: distinguishability - in context, according to definitions
Shmuel (Seymour J.) Metz
2/21/13
Read Re: distinguishability - in context, according to definitions
fom
2/22/13
Read Re: distinguishability - in context, according to definitions
Shmuel (Seymour J.) Metz
2/15/13
Read Re: distinguishability - in context, according to definitions
fom
2/17/13
Read Re: distinguishability - in context, according to definitions
Shmuel (Seymour J.) Metz
2/17/13
Read Re: distinguishability - in context, according to definitions
fom
2/19/13
Read Re: distinguishability - in context, according to definitions
Shmuel (Seymour J.) Metz
2/16/13
Read Re: distinguishability - in context, according to definitions
dan.ms.chaos@gmail.com
2/16/13
Read Re: distinguishability - in context, according to definitions
fom
2/17/13
Read Re: distinguishability - in context, according to definitions
dan.ms.chaos@gmail.com
2/17/13
Read Re: distinguishability - in context, according to definitions
fom
2/17/13
Read Re: distinguishability - in context, according to definitions
dan.ms.chaos@gmail.com
2/18/13
Read Re: distinguishability - in context, according to definitions
Shmuel (Seymour J.) Metz
2/20/13
Read Re: distinguishability - in context, according to definitions
fom
2/21/13
Read Re: distinguishability - in context, according to definitions
Shmuel (Seymour J.) Metz
2/16/13
Read Re: distinguishability - in context, according to definitions
fom
2/19/13
Read Re: distinguishability - in context, according to definitions
Shmuel (Seymour J.) Metz
2/19/13
Read Re: distinguishability - in context, according to definitions
fom

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