Talk:Commutative exponentiation

Extra eyes

I have requested review by watchers at Talk:Exponentiation and Talk:Hyperoperation as if this page should be kept, it looks like it will need to link from those pages. ^~Hydronium^~Hydroxide^~(Talk)~ 03:31, 4 March 2020 (UTC)[reply]

This article is essentially unsourced. The operation here defined is sort of a natural one to consider (or, at least, it has also occurred to me in the past to consider it), and it is mentioned in the two-page paper by Bennett given as a source, but using a different notation, namely A⁰₂B for what this article calls A ᐤ B, and as far as I can tell the name "commutative exponentiation" is not mentioned.

I note in passing that "commutative exponentiation" is not a good name for this operation, because although it is commutative, it is not exponentiation. Nor is it (as the article claims) in any obvious sense an "extension" of exponentiation.

I wouldn't be surprised if some of the content can be salvaged; as I say, the operation is a natural enough thing to think of. But I really really doubt it will wind up under this title. --Trovatore (talk) 06:16, 4 March 2020 (UTC)[reply]

I have redirected this article to Hyperoperation#Commutative hyperoperations, where the operation is defined with another name. However I agree that "commutative exponentiation" is not a good name, and is possibly misleading. Moreover, it seems WP:OR. So it would be useful to nominate it for deletion. D.Lazard (talk) 11:58, 4 March 2020 (UTC)[reply]

A Scholar Google search provides 7 hits for "commutative exponentiation". For 5 of them "commutative" refers to the commutativity between bases of integer exponentiation. I have thus redirected this article to the new section Exponentiation#Powers of a sum. D.Lazard (talk) 16:28, 4 March 2020 (UTC)[reply]