In normal modal logic S5, the K axiom says $\square (p \rightarrow q) \rightarrow (\square p \rightarrow \square q)$. First of all, is this an abuse...

The readings shared in Bluesky on 12 July 2025 are A formalization of divided powers in Lean. ~ Antoine Chambert-Loir, María Inés de Frutos-Fernández. #ITP #LeanProver #Math Completeness of the decre

pmGenerator-1.2.2-win.7z contains Windows binaries only. Compiled by GCC 11.3.0, binaries from winlibs-x86_64-posix-seh-gcc-11.3.0-llvm-14.0.3-mingw-w64msvcrt-10.0.0-r3 Used oneTBB 2021.9.0-1, lib...

The epidemiologist who advised on Ebola and Covid discusses the value of evidence in light of AI and social media, and how the notion of fact has long been divisive Adam Kucharski is a professor at the...

My *next* talk in this spring/summer of research combines some longstanding interests of mine (Graham Priest’s Logic of Paradox) and more recent interests (natural deduction and the sequent calculus). I bet you didn’t think that you could creatively apply Gentzen’s thoroughly standard rules of natural deduction to give you a sound and complete calculus for Priest’s LP, but it turns out that you can. https://consequently.org/presentation/2026/lp-subst-arche/ #prooftheory #NaturalDeduction #paradox #philosophy

It’s neat to see that an old (fiddly, complicated) decidability argument I wrote up in the 1990s is getting some attention. Here, Raj Goré and Anthony Peigné formalise (and generalise) my decidability argument for display formulations of some substructural logics. This is interesting work, worth looking into. https://link.springer.com/article/10.1007/s11225-026-10239-8 #logic #prooftheory #rocqprover

I’m looking forward to spending time today with @ohad@mathstodon.xyz, @modaltype@types.pl and other folks at the LFCS at Edinburgh, and getting to talk about some weird substructural modal logic. https://consequently.org/presentation/2026/tlmh-edi/ #logic #prooftheory