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As a word

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

  1. ^ 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"

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

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

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

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?

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