Experimental browser for the Atmosphere
It may seem strange, but I think the problem is that the implicit premise that there is a number with a repeating decimal representation like that, and there actually isn’t. More formally, I suppose what you’re saying with “0.9999…” is the thing in this image, which is pretty obviously 1.
May 12, 2025, 5:04 AM
{ "uri": "at://did:plc:cbs3aeflwxebomeszjivth3q/app.bsky.feed.post/3lox6zl6xss2c", "cid": "bafyreidgsiwi6mryxvkcuqnqkvxwpyoqfzhtxw2uv2pgjjkcflet7hl3zy", "value": { "text": "It may seem strange, but I think the problem is that the implicit premise that there is a number with a repeating decimal representation like that, and there actually isn’t. More formally, I suppose what you’re saying with “0.9999…” is the thing in this image, which is pretty obviously 1.", "$type": "app.bsky.feed.post", "embed": { "$type": "app.bsky.embed.images", "images": [ { "alt": "1 - \\lim_{i\\rightarrow\\infty} 10^{-i}", "image": { "$type": "blob", "ref": { "$link": "bafkreihwl3p7siymo6cf3abpki2ggav64ai2gbaskfxed36ycsyggtgbee" }, "mimeType": "image/jpeg", "size": 23024 }, "aspectRatio": { "width": 706, "height": 228 } } ] }, "langs": [ "sv" ], "reply": { "root": { "cid": "bafyreiffqk3owomazhh6q2brz5ujhs6zditd76hyncydqtqp52tcjdf6xi", "uri": "at://did:plc:r643qxafn6b3pxfffiodojbn/app.bsky.feed.post/3lowfldwnus2e" }, "parent": { "cid": "bafyreiffqk3owomazhh6q2brz5ujhs6zditd76hyncydqtqp52tcjdf6xi", "uri": "at://did:plc:r643qxafn6b3pxfffiodojbn/app.bsky.feed.post/3lowfldwnus2e" } }, "createdAt": "2025-05-12T05:04:10.461Z" } }