Talk:1
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"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)
- 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)
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)
- 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)
- 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)
- It's only been sat there, misinforming readers, for 16 years! Polyamorph (talk) 10:42, 16 November 2023 (UTC)
- 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)
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)
- 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)
Semi-protected edit request on 23 December 2023[edit]
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insert the citation:" in through scholarly works written in Arabic.[citation needed]" Insert: [1] MPBWM (talk) 21:24, 23 December 2023 (UTC)
- Not done: The provided source is not in Arabic. Spintendo 22:41, 27 December 2023 (UTC)
- @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)
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)
- 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)
- ^ Eves, Howard (2011). Introdução à história da matemática. Graduate Texts in Mathematics. Vol. 164 (5 ed.). Editora UNICAMP. p. 41. ISBN 978-8526806573.