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One section reads: "In mathematics, the term trivial is frequently used for objects (for examples, groups or topological spaces) that have a very simple structure". This should be the lead, not some confusing cruft about nouns and adjectives as it is at the moment to support this unnatural title.
503:"Trivial (mathematics)" would be just as confusing. Because of the prevailing encyclopaedic tone, just "Trivial" sounds like the name of a product or company. It is not encyclopaedic to use an adjective in a title when there's a perfectly good noun. —
208:. It dates back to a work from 1432-50 mention of the "arte trivialle," an allusion to the three liberal arts that made up the trivium, the lower division of the seven liberal arts taught in medieval universities: grammar, rhetoric, and logic.
528:
Another reason which I believe the move is appropriate is that the word "trivial" is really not exclusive to mathematics. The word is used in all subjects which stress abstract reasoning, chief among which are philosophy and mathematics.
588:), so "Trivial (mathematics)" would be wrong. Triviality is the best title, and it is effectively unambiguous, since we have no article for "trivialness", and triviality does not really mean the same as trivia.  —
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I just saved this article with an expanded
Mathematics section. However, I'm unhappy with the final paragraph (the one about proof by cases). What I'd like there is (appended to what's there now) an
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This is a common mistake, but you're right in that it should be should be detailed here. However, the usage you mentioned is not an origin: it is one of the earliest known uses of the word in
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416:– Currently "triviality" redirects to "trivia", but that entire page has zero occurrence of the word "triviality". This page is the only one whose title starts with "triviality".
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Should we include a section on triviality in proof? We often say "proof is trivial" or "it is trivial to prove ____." I mean, we could easily concoct an example:
236:! But, alas, I can't think of one in which the trivial case is not one concerning a trivial object. (An example of that nature would just confuse the two uses of
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Definition: An integer k is odd if it can be written k = 2n for some integer n. Theorem: For integers n and k such that k = nĂ—2, k is even. Proof: (Trivial)
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Nontrivial has only the definition "not trivial", and is not used very often in
English when you remove its instances as describing mathematical terms,
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To many people, "triviality" would be taken to mean "trivialness", and things can be trivial in many fields of experience. Keep the disambiguater.
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Everything but the
Mathematics section is pure dictionary definition (and etymology), and would seem to belong better in Wiktionary, no?
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453:. The article uses "trivial", not "triviality". It is wrong to use a different word form to disambiguate. It causes confusion.
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Defining the meaning of the adjective "nontrivial" outside of the scope of mathematics should be on
Wiktionary, not Knowledge.
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Subsequent comments should be made in a new section on this talk page. No further edits should be made to this section.
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Subsequent comments should be made in a new section on the talk page. No further edits should be made to this section.
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466:. All adjective terminologies are titled with the noun form. A quick example which immediately came to my mind:
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section can be retitled to "In mathematics" and have the first sentence be an opener for that section.
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for that content in the latter page, and it must not be deleted as long as the latter page exists.
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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The 2nd paragraph has no reference or footnote; it should be dropped if it is unsupported.
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383:. Clear absence of consensus for the proposed move; also an absence of consensus to move to
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It's still good information though, so I'll reformat this entry slightly to show that.
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The story about the two mathematicians is nearly quoted from
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per
Anthony Appleyard. Ambiguous with a common word. Maybe
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The following discussion is an archived discussion of a
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The above discussion is preserved as an archive of a
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All examples are mathematics examples and the entire
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297:I can think of a wide variety of examples...
293:Surely "trivial" is not used only in maths...
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38:It is of interest to the following
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683:Mid-priority mathematics articles
322:Category:Mathematical terminology
260:Surely_You're_Joking,_Mr._Feynman
115:Knowledge:WikiProject Mathematics
678:Start-Class mathematics articles
607:Mathematically trivial solutions
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462:The noun as the title is per
109:and see a list of open tasks.
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643:No Footnote: 2nd Paragraph
424:) 19:33, 14 May 2017 (UTC)
358:Requested move 14 May 2017
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403:16:21, 15 June 2017 (UTC)
288:21:46, 26 July 2007 (UTC)
250:19:33, 15 Nov 2004 (UTC)
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177:was copied or moved into
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408:Triviality (mathematics)
372:Please do not modify it.
179:Triviality (mathematics)
141:project's priority scale
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98:WikiProject Mathematics
28:This article is rated
562:Trivial (mathematics)
450:Trivial (mathematics)
385:Trivial (mathematics)
312:Page should be merged
262:. Please refer to it.
121:mathematics articles
578:Support as proposed
191:provide attribution
90:Mathematics portal
34:content assessment
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59:Mathematics
30:Start-class
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586:isomorphic
560:. Move to
429:Relisting.
413:Triviality
318:Nontrivial
174:Nontrivial
611:SmokeyJoe
531:GeT RiGhT
472:GeT RiGhT
418:GeT RiGhT
381:Not moved
345:Penitence
183:this edit
651:unsigned
487:Laurdecl
468:legality
455:Laurdecl
448:Move to
328:Examples
285:Cheeser1
590:Amakuru
526:Comment
501:Support
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238:trivial
234:example
187:history
139:on the
603:Oppose
584:, not
558:Oppose
392:bd2412
320:is in
269:Ronno
248:msh210
36:scale.
181:with
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615:talk
609:. --
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246:—
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42::
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
