2026/04/15

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2026-04-15 19:42:29 +0000merijn(~merijn@host-cl.cgnat-g.v4.dfn.nl) merijn
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2026-04-15 18:41:23 +0000 <monochrom> Just like how both real math and ideal math exists and co-evolve, both real haskell and ideal haskell exists and co-evolve.
2026-04-15 18:40:30 +0000 <alter2000> ok fair my bad, I meant "since it's in active use and development on concrete imperfect machines"
2026-04-15 18:40:03 +0000Logio(em@kapsi.fi) Logio
2026-04-15 18:39:54 +0000merijn(~merijn@host-cl.cgnat-g.v4.dfn.nl) merijn
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2026-04-15 18:36:54 +0000 <EvanR> nothing unreal exists:tm:
2026-04-15 18:36:41 +0000 <alter2000> since it exists it's real no?
2026-04-15 18:36:08 +0000 <EvanR> is haskell real math or ideal math
2026-04-15 18:35:52 +0000 <EvanR> eventually non-standard interpretations and incompleteness would force another change in attitude, but this mentality seems interesting
2026-04-15 18:34:17 +0000 <EvanR> it seems that an early (?) attitude of hilbert, continually faced with mathematical surprises while trying to carry out a formalist agenda, imagined a distinction between "real math" and "ideal math". Someone like cantor would report the discover of various infinities. It would be the formalists job to eventually account for this in the ideal formal version. Like their doing empirical science
2026-04-15 18:33:28 +0000uli-fem(~uli-fem@203.87.114.209)
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2026-04-15 18:27:37 +0000ft(~ft@p508db287.dip0.t-ipconnect.de) ft
2026-04-15 18:26:26 +0000 <monochrom> Recently I learned a bit of non-standard real analysis. We can just s/exotic/non-standard/. Wooo infinitestimals and extra bottoms and infinite lists...
2026-04-15 18:24:08 +0000misterfish(~misterfis@84.53.85.146) misterfish
2026-04-15 18:23:50 +0000 <EvanR> all the proofs can go through formally and haskell is just an exotic model
2026-04-15 18:21:51 +0000merijn(~merijn@host-cl.cgnat-g.v4.dfn.nl) merijn
2026-04-15 18:21:40 +0000 <monochrom> I can imagine Bob Harper looking at all these annoyances and conclude "forget Haskell". :)
2026-04-15 18:18:25 +0000Square2(~Square@user/square) Square
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2026-04-15 18:16:04 +0000 <monochrom> Unfortunately Z has fewer bottoms than Either () Z too. Either Void Z should work, but it's a hack.
2026-04-15 18:16:02 +0000Square2(~Square@user/square) Square
2026-04-15 18:11:14 +0000 <monochrom> Err no, I have to re-think it.
2026-04-15 18:11:09 +0000alter2000(~alter2000@user/alter2000) alter2000
2026-04-15 18:10:09 +0000 <monochrom> Whereas for less mind-boggling examples like "data Z = Z | S Z" you have the expected isomorphism again! So all is not lost.