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| 2026-01-15 20:50:38 +0100 | <ncf> | can you prove a taboo from it? |
| 2026-01-15 20:50:27 +0100 | <ncf> | yeah i don't think it is |
| 2026-01-15 20:50:21 +0100 | <dolio> | ncf: Definitely seems like the associativity is not constructive. |
| 2026-01-15 20:50:21 +0100 | bitdex_ | (~bitdex@gateway/tor-sasl/bitdex) (Ping timeout: 252 seconds) |
| 2026-01-15 20:49:21 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) merijn |
| 2026-01-15 20:49:15 +0100 | <ncf> | those are extremely different! |
| 2026-01-15 20:49:08 +0100 | <ncf> | the intended meaning of a O b O c when O is a (homogeneous, binary, associative) operator is a O (b O c) |
| 2026-01-15 20:48:28 +0100 | <ncf> | the intended meaning of a R b R c when R is a relation is a R b ∧ b R c |
| 2026-01-15 20:48:11 +0100 | <ncf> | have you heard of concepts with attitudes |
| 2026-01-15 20:44:16 +0100 | Hardyhardhard | (~Hardyhard@user/hardyhardhard) (Quit: Client closed) |
| 2026-01-15 20:39:20 +0100 | Lord_of_Life_ | Lord_of_Life |
| 2026-01-15 20:39:00 +0100 | Lord_of_Life | (~Lord@user/lord-of-life/x-2819915) (Ping timeout: 252 seconds) |
| 2026-01-15 20:38:01 +0100 | Lord_of_Life_ | (~Lord@user/lord-of-life/x-2819915) Lord_of_Life |
| 2026-01-15 20:33:03 +0100 | <monochrom> | We have a real type system, so we don't need artificial lines between relations, functions, numbers, values, constants. |
| 2026-01-15 20:32:11 +0100 | <monochrom> | A relation is a function. A function is an operator. So a relation is also an operator. >:) |
| 2026-01-15 20:29:33 +0100 | <__monty__> | Maybe the right type for (==) should be `Eq a => Maybe a -> Maybe a -> Maybe a`? Then we can get associativity. |
| 2026-01-15 20:26:52 +0100 | jreicher | (~joelr@user/jreicher) (Quit: In transit) |
| 2026-01-15 20:26:12 +0100 | <dolio> | Parity for the 0 bits instead of 1 bits. |
| 2026-01-15 20:25:33 +0100 | <dolio> | Or wait, (/=) is parity. (==) is like anti-parity or something. |
| 2026-01-15 20:25:20 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) (Ping timeout: 245 seconds) |
| 2026-01-15 20:24:57 +0100 | Hardyhardhard | (~Hardyhard@user/hardyhardhard) hardyhardhard |
| 2026-01-15 20:24:05 +0100 | jle` | (~jle`@2603:8001:3b00:11::1156) (Ping timeout: 245 seconds) |
| 2026-01-15 20:23:26 +0100 | <tomsmeding> | __monty__: sure :p |
| 2026-01-15 20:22:37 +0100 | Hardyhardhard | (~Hardyhard@user/hardyhardhard) (Quit: Client closed) |
| 2026-01-15 20:20:42 +0100 | <dolio> | The induced operator on booleans calculates parity. |
| 2026-01-15 20:20:23 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) merijn |
| 2026-01-15 20:20:12 +0100 | <dolio> | This isn't a relation. It's a decision procedure for a relation. |
| 2026-01-15 20:19:53 +0100 | <ncf> | (also, logical equivalence is not actually associative constructively, is it?) |
| 2026-01-15 20:19:07 +0100 | <ncf> | equality is a relation, not an operator. asking whether a relation is associative is usually a type error, except in the case where the relation is on propositions (in this case decidable ones), but that doesn't mean it's a good idea to do it |
| 2026-01-15 20:18:44 +0100 | <__monty__> | Are there any languages where a successful equality check "returns" the value, while an unsuccessful check returns False or something? |
| 2026-01-15 20:17:36 +0100 | <dolio> | Also the binary operator on booleans is pretty niche. |
| 2026-01-15 20:17:32 +0100 | <__monty__> | tomsmeding: I'm not so sure, `False == False == True` doesn't seem very useful. |
| 2026-01-15 20:16:55 +0100 | <dolio> | And that's kind of a dumb thing to depend on. |
| 2026-01-15 20:16:19 +0100 | <dolio> | The problem is that in situations with other types, the way parentheses are inserted affects whether it's well typed. |
| 2026-01-15 20:13:02 +0100 | <dolio> | Yeah. |
| 2026-01-15 20:12:25 +0100 | <tomsmeding> | I feel like the nonassociativity of the (==) operator in haskell is mostly because it is polymorphic. Had it been monomorphic for Bool, I'm sure it would have been made associative (in some direction) |
| 2026-01-15 20:11:52 +0100 | Tuplanolla | (~Tuplanoll@88-114-88-95.elisa-laajakaista.fi) Tuplanolla |
| 2026-01-15 20:09:19 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) (Ping timeout: 240 seconds) |
| 2026-01-15 20:04:14 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) merijn |
| 2026-01-15 19:53:25 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) (Ping timeout: 264 seconds) |
| 2026-01-15 19:48:21 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) merijn |
| 2026-01-15 19:46:49 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) (Ping timeout: 264 seconds) |
| 2026-01-15 19:41:50 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) merijn |
| 2026-01-15 19:39:50 +0100 | Everything | (~Everythin@172-232-54-192.ip.linodeusercontent.com) Everything |
| 2026-01-15 19:36:41 +0100 | Googulator | (~Googulato@2a01-036d-0106-29ac-fd48-b0ea-63d3-602a.pool6.digikabel.hu) |
| 2026-01-15 19:36:28 +0100 | Googulator | (~Googulato@2a01-036d-0106-29ac-fd48-b0ea-63d3-602a.pool6.digikabel.hu) (Quit: Client closed) |
| 2026-01-15 19:30:31 +0100 | merijn | (~merijn@host-cl.cgnat-g.v4.dfn.nl) (Ping timeout: 246 seconds) |
| 2026-01-15 19:30:23 +0100 | Hardyhardhard | (~Hardyhard@user/hardyhardhard) hardyhardhard |
| 2026-01-15 19:25:48 +0100 | ljdarj | (~Thunderbi@user/ljdarj) ljdarj |
| 2026-01-15 19:24:12 +0100 | ljdarj | (~Thunderbi@user/ljdarj) (Quit: ljdarj) |