Re: cube problem

On Thu, 02 Feb 2006 11:30:46 -1000, rich@xxxxxxxxxxxx wrote:

On Thu, 02 Feb 2006 16:06:52 -0500, Walt <walt_askier@xxxxxxxxxxxxxx>
wrote:

rich@xxxxxxxxxxxx wrote:

Walt, we are discussing the meaning of the word "axiomatic" and *not*
the word "axiom". I realize that they share the same first five
letters but they have very different meanings.

WTF? Do Iceland and Icelandic have totally different meanings?

No.

One is a noun, the other is an adjective derived from the noun. Same
meaning, just a different part of speech.



Are you and Paul related? Or is it a case of folie a deux:-))

8 entries found for axiomatic.

Two hints: (i) It's not hard to be certain something exists
(for example the definition of "axiomatic" below). But any
time you think something does not exist (for example a
different meaning of "axiomatic") you're on shakier ground
- it's hard to know for sure that something does not exist,
could be hiding somewhere you haven't looked.

(ii) Citing standard dictionaries as evidence that a
word does _not_ have a certain other use in a technical
field is a little silly - there are many definitions
in, for example, mathematics, that do not appear in
standard English dictionaries.

In fact "axiomatic" _does_ have a technical meaning
in mathematics, in spite of the fact that that meaning
does not appear in the dictionary entries below. In
another post I sketched what that technical meaning
is.

For example, there's "axiomatic set theory" versus
"naive set theory". If we're talking about axiomatic
set theory we're definitely _not_ talking about
what's obviously true about sets, if anything
the distinction is just the opposite: In _naive_
set theory the properties of sets in question
are supposed to be obviously true, while in
axiomatic set theory the only question is whether
the theorems follow from the axioms, nothing
about obvious truth anywhere in sight.

As an authority I'll cite myself on this - no
reason you should believe it, but I _am_ an
authority on mathematics, got my PhD more than
20 years ago.

You could try posting a question on sci.math
about whether "axiomatic" means something
other than one of the meanings below in mathematics.
Or if you'd rather not embarass yourself you
could just search sci.math for me and determine
on that basis whether you feel like regarding
me as a credible source here.

Main Entry: axiomatic
Part of Speech: adjective
Definition: understood
Synonyms: absolute, accepted, aphoristic, apophthegmatic, assumed,
certain, fundamental, given, indubitable, manifest, obvious,
presupposed, proverbial, self-evident, unquestioned
Antonyms: dubious, in question, misunderstood, questionable,
uncertain
Source: Roget's New Millennium? Thesaurus, First Edition (v 1.1.1)
Copyright © 2006 by Lexico Publishing Group, LLC. All rights reserved.

Main Entry: demonstrable
Part of Speech: adjective
Definition: provable
Synonyms: ascertainable, attestable, axiomatic, certain, conclusive,
deducible, evident, evincible, incontrovertible, indubitable,
inferable, irrefutable, obvious, palpable, positive, self-evident,
undeniable, unmistakable, verifiable
Antonyms: distorted, doubtful, undemonstrable, vague
Source: Roget's New Millennium? Thesaurus, First Edition (v 1.1.1)
Copyright © 2006 by Lexico Publishing Group, LLC. All rights reserved.

Main Entry: dogmatic
Part of Speech: adjective 2
Definition: truthful
Synonyms: a priori, assertive, authoritarian, authoritative,
axiomatic, by fiat, by nature, canonical, categorical, deducible,
deductive, derivable, doctrinaire, doctrinal, eternal, ex cathedra,
formal, imperative, inevitable, on faith, oracular, orthodox,
peremptory, positive, pragmatic, prophetic, reasoned, systematic,
theoretical, unchangeable, unerring, unqualified
Antonyms: ambiguous, doubtful, equivocal, indecisive, uncertain
Source: Roget's New Millennium? Thesaurus, First Edition (v 1.1.1)
Copyright © 2006 by Lexico Publishing Group, LLC. All rights reserved.

Main Entry: evident
Part of Speech: adjective
Definition: apparent
Synonyms: axiomatic, barefaced, clear, clear-cut, conspicuous,
crystal clear, distinct, fact, incontestable, incontrovertible,
indisputable, logical, manifest, noticeable, obvious, palpable,
patent, perceptible, plain, reasonable, straightforward, tangible,
unambiguous, unmistakable, visible
Antonyms: concealed, disputable, hidden, inevident, obscure,
uncertain, unclear, unknown
Source: Roget's New Millennium? Thesaurus, First Edition (v 1.1.1)
Copyright © 2006 by Lexico Publishing Group, LLC. All rights reserved.

Main Entry: fundamental
Part of Speech: adjective
Definition: basic
Synonyms: axiological, axiomatic, basal, bottom, bottom line,
cardinal, central, constitutional, constitutive, crucial, elemental,
elementary, essential, first, foundational, grass roots,
indispensable, integral, intrinsic, key, major, meat-and-potatoes,
necessary, nitty-gritty, organic, original, paramount, primary, prime,
primitive, primordial, principal, radical, requisite, rudimentary,
significant, structural, substratal, substrative, supporting,
sustaining, theoretical, underived, underlying, vital
Antonyms: secondary
Source: Roget's New Millennium? Thesaurus, First Edition (v 1.1.1)
Copyright © 2006 by Lexico Publishing Group, LLC. All rights reserved.

Main Entry: proverbial
Part of Speech: adjective
Definition: traditional
Synonyms: accepted, acknowledged, archetypal, axiomatic,
conventional, current, customary, famed, familiar, famous, general,
legendary, notorious, self-evident, time-honored, typical,
unquestioned, well-known
Source: Roget's New Millennium? Thesaurus, First Edition (v 1.1.1)
Copyright © 2006 by Lexico Publishing Group, LLC. All rights reserved.

Main Entry: self-evident
Part of Speech: adjective
Definition: obvious
Synonyms: apparent, axiomatic, clear, comprehensible,
incontrovertible, inescapable, manifest, patently true, plain, prima
facie, self-explanatory, undeniable, understandable, unmistakable,
unquestionable, visible
Antonyms: unclear
Source: Roget's New Millennium? Thesaurus, First Edition (v 1.1.1)
Copyright © 2006 by Lexico Publishing Group, LLC. All rights reserved.

Main Entry: understood
Part of Speech: adjective
Definition: assumed
Synonyms: accepted, appreciated, axiomatic, down pat, dug, got it,
gotcha, hep, implicit, implied, inferential, inferred, known, on to,
pat, pegged, presumed, roger, tacit, undeclared, unexpressed, unsaid,
unspoken, unstated, wise to, wordless
Antonyms: explained, explicit, spoken, written
Source: Roget's New Millennium? Thesaurus, First Edition (v 1.1.1)
Copyright © 2006 by Lexico Publishing Group, LLC. All rights reserved.

I don't see a single entry above that says that axiomatic has anything
to do with mathematics.

Instead of just asserting that axiomatic is the adjective form of
axiom please provide a reference to support this belief. I don't
expect to get one from either you or Paul as you are obviously
suffering under some delusional belief about this word. Even when I
provide evidence of its meaning each of you persists in your own
idiosyncratic meaning of it.

It is obvious that nothing will convince you otherwise. Anti-psychotic
medications may help but I suggest consultation with a qualified
mental health professional. Good luck-++++++++++++.

Rich

//Walt


************************

David C. Ullrich
.