Talk:1

This is the talk page for discussing improvements to the 1 article.
This is not a forum for general discussion of the article's subject.

Put new text under old text. Click here to start a new topic.
New to Wikipedia? Welcome! Learn to edit; get help.

Article policies

Find sources: Google (books · news · scholar · free images · WP refs) · FENS · JSTOR · TWL

Archives: 1, 2: 365 days

Numbers

This article is within the scope of WikiProject Numbers, a collaborative effort to improve the coverage of Numbers on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.NumbersWikipedia:WikiProject NumbersTemplate:WikiProject NumbersNumbers articles

Mathematics Top‑priority

	Mathematics portal This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.MathematicsWikipedia:WikiProject MathematicsTemplate:WikiProject Mathematicsmathematics articles
Top	This article has been rated as Top-priority on the project's priority scale.

Daily pageviews of this article

A graph should have been displayed here but graphs are temporarily disabled. Until they are enabled again, visit the interactive graph at pageviews.wmcloud.org

As a word[edit]

One is described as a determiner for a countable noun, a pronoun, and a noun (when referring to the number itself). But this seems to be missing the adjective, e.g., as in "number one priority". ^[1] Thoughts?

References

^ https://www.etymonline.com/word/one

Polyamorph (talk) 15:11, 4 November 2023 (UTC)[reply]

In "number one priority", one is not an adjective; it is "number one" that is an adjective phrase that plays the role of an ordinal numeral (almost a synonym of "first"). I believe (I am not a linguist) that in this phrase, "one" is a noun and "number" is another noun used as a qualifier.

By the way, it seems that the first sentence of the section is wrong as the use of "one" as a cardinal numeral is certainly the most common usage. In any case,it must be mentioned in the article that, linguistically, "one" is a cardinal numeral. D.Lazard (talk) 15:48, 4 November 2023 (UTC)[reply]

OK, thanks. I agree, one as a cardinal number should come first. Cheers Polyamorph (talk) 15:56, 4 November 2023 (UTC)[reply]

"As a number" and "Mathematics"[edit]

These two sections essential deal with the same thing, the properties of 1 as a number. I plan to merge into a single section "In Mathematics", per WP:WikiProject_Numbers#Template_for_integers. Please let me know if you have any comments before I do this. Polyamorph (talk) 10:34, 15 November 2023 (UTC)[reply]

Go for it! (just my vote) It looks like math properties are split between the 2 sections, I don't see why they couldn't be merged. Dhrm77 (talk) 15:36, 15 November 2023 (UTC)[reply]

Principia Mathematica[edit]

On March 16, 2007, Dionyziz added (diff) In Principia Mathematica, 1 is defined as the set of all singletons.. It was unsourced at the time and has remained unsourced since, and I don't think this is true, Principia Mathematica doesn't define 1 in terms of sets. Has this been misattributed? Polyamorph (talk) 05:41, 16 November 2023 (UTC)[reply]

I have removed this statement for now, once the definition is confirmed here we can incorporate it back into the text.Polyamorph (talk) 09:08, 16 November 2023 (UTC)[reply]

I agree. Moreover, the assertion and its attribution are certainly both wrong, since the singletons do not form a set, and this was established by the second author of Principia Mathematica (Russell's paradox). D.Lazard (talk) 10:36, 16 November 2023 (UTC)[reply]

It's only been sat there, misinforming readers, for 16 years! Polyamorph (talk) 10:42, 16 November 2023 (UTC)[reply]

Reference for use of uppercase 'J' as a substitute for I[edit]

I've asked this question at the language reference desk: WP:Reference_desk/Language#Use_of_capital_"J"_as_a_substitute_for_the_digit_"I". Please feel free to answer there or here. Best wishes Polyamorph (talk) 09:34, 21 November 2023 (UTC)[reply]

That discussion resulted in some references - while they do not discuss the use of J as a substitute for I or 1, they are examples of historic use. Since the sentence simply states it is possible to find historic examples, in my opinion this isn't WP:OR. I have added the references to the article.Polyamorph (talk) 14:16, 23 November 2023 (UTC)[reply]

Semi-protected edit request on 23 December 2023[edit]

This edit request has been answered. Set the |answered= or |ans= parameter to no to reactivate your request.

insert the citation:" in through scholarly works written in Arabic.[citation needed]" Insert: ^[1] MPBWM (talk) 21:24, 23 December 2023 (UTC)[reply]

Not done: The provided source is not in Arabic. Spintendo 22:41, 27 December 2023 (UTC)[reply]

@Spintendo: the source does not have to be in Arabic, the citation needed relates to the transmission of the numeral via Arabic texts. @MPBWM: the reference you provided is not in English so I've been unable to verify where the relevant information is. Do you have a page number? Or an English language source? Polyamorph (talk) 10:46, 28 December 2023 (UTC)[reply]

Smallest Difference?[edit]

"Additionally, 1 is the smallest possible difference between two distinct natural numbers." 3-4 = -1

-1<1 2003:CA:E70B:F500:ACDE:4B1D:9525:6ED1 (talk) 15:56, 18 January 2024 (UTC)[reply]

You should read between the lines that "1 is the smallest possible absolute difference". i.e. the difference between 3 and 4 is |3-4| = |4-3| = 1. Dhrm77 (talk) 19:02, 18 January 2024 (UTC)[reply]

^ Eves, Howard (2011). Introdução à história da matemática. Graduate Texts in Mathematics. Vol. 164 (5 ed.). Editora UNICAMP. p. 41. ISBN 978-8526806573.

[1] ttps://www.etymonline.com/word/one

[2] Eves, Howard (2011). Introdução à história da matemática. Graduate Texts in Mathematics. Vol. 164 (5 ed.). Editora UNICAMP. p. 41. ISBN 978-8526806573.

[1]

[1]