- In the attached paper, at the end of an interesting historical discussion on page 6, Donald Knuth wrote
"The debate stopped there, apparently with the conclusion that 0⁰ should be undefined. But no, no, ten thousand times no! Anybody who wants the binomial theorem to hold for at least one nonnegative integer n must believe that 0⁰ = 1."
https://arxiv.org/abs/math/9205211
John Carlos Baez
npub1nf…3nqe4
2025-06-15 11:40:06 UTC
in reply to nevent1q…3vc2
Author Public Key
npub1nf4p4rh06z6n6lsvje4txk7eqs23y3hs8vd7nraq6tgwady5qvsqy3nqe4Seen on
wss://relay.momostr.pinkPublished at
2025-06-15 11:40:06 UTCEvent JSON
{
"id": "65a1a35ef5c09e12d6cd46d1fd4eccc0e8bd85972aac5f9f09d68f39363b7019",
"pubkey": "9a6a1a8eefd0b53d7e0c966ab35bd904151246f03b1be98fa0d2d0eeb4940320",
"created_at": 1749987606,
"kind": 1,
"tags": [
[
"p",
"7ef87f0f87bcc38f0d3dc8386a0fcc5ec632d792b8185340726d666ded146713"
],
[
"p",
"9a6a1a8eefd0b53d7e0c966ab35bd904151246f03b1be98fa0d2d0eeb4940320"
],
[
"p",
"52272c87bf4f04ba0a4471a4f60a49d66360c967bce00040ff8a44c540cc7183"
],
[
"proxy",
"https://mathstodon.xyz/@johncarlosbaez/114687187811430996",
"web"
],
[
"e",
"20c37a5acdddcd92d4416efeae6ab7c24b4e8aaf23132ec4f7ab449b22b751b0",
"",
"reply",
"52272c87bf4f04ba0a4471a4f60a49d66360c967bce00040ff8a44c540cc7183"
],
[
"p",
"58cb72d0d70bc87f0d7da3f503a8f5faa430b178b52cb6a871b3437887d8cc80"
],
[
"p",
"af69ea53a8f8a39e332be10e2f1954edba2aabe860d1619c125769445c2eee7e"
],
[
"p",
"7c3db5128a4b2aa5647d3b8728c069f0b0272ba20083687bef5bf3239ca4ddb2"
],
[
"e",
"0423035e4ec1a8f10b9a246e1f58071e73baf500c26a78da3b79ac68e1690f35",
"",
"root",
"58cb72d0d70bc87f0d7da3f503a8f5faa430b178b52cb6a871b3437887d8cc80"
],
[
"proxy",
"https://mathstodon.xyz/users/johncarlosbaez/statuses/114687187811430996",
"activitypub"
],
[
"L",
"pink.momostr"
],
[
"l",
"pink.momostr.activitypub:https://mathstodon.xyz/users/johncarlosbaez/statuses/114687187811430996",
"pink.momostr"
],
[
"-"
]
],
"content": "- In the attached paper, at the end of an interesting historical discussion on page 6, Donald Knuth wrote \n\n\"The debate stopped there, apparently with the conclusion that 0⁰ should be undefined. But no, no, ten thousand times no! Anybody who wants the binomial theorem to hold for at least one nonnegative integer n must believe that 0⁰ = 1.\"\n\nhttps://arxiv.org/abs/math/9205211",
"sig": "70c05093f088ea9cc426f260908276e83f55368e08ea97e2f5aaa51cbb8910fec8bbe5471fa228869cfd81ec7667d17af0e6eb0fc8855641d61c541529587613"
}