Formal Logic Trends Podcast

2026-10-11

Four papers on modality below classical logic: trivalent conditionals get a probability theory, non-deterministic four-valued tables reach S0.5, the Nelson logics get a Dunn-style modality, and quantum logic gets a strict implication

Four papers from 5–9 October 2026 that carry a modal or conditional operator onto a non-classical value space: trivalent conditionals with a matching probability theory, non-deterministic four-valued tables for normal and very weak modal logics, a Dunn-style modality for the generalised Nelson logics, and a strict implication that internalizes entailment inside quantum modal logic.

Formal Logic Trends Podcast

Four translations, and what each keeps or breaks: conditionals under Kratzer's restrictor, modal logic inside a probability space, consistency strength inside a reflection calculus, and Gödel's second theorem under a change of numbering

Four papers on modality below classical logic: trivalent conditionals get a probability theory, non-deterministic four-valued tables reach S0.5, the Nelson logics get a Dunn-style modality, and quantum logic gets a strict implication

Four papers on pinning a modal logic down: Cheq has no finite axiom system, uncountably many congruential logics have no neighborhood frame, closure semantics reaches the least modal logic, and dynamic epistemic logic gets a cut-free calculus

One question, four verdicts: IS4 is decidable, the translation from FO³ into the calculus of relations cannot be made small, free groups have no model companion, and groups of exponent 3 do

Four faces of correctness: a Strategy Logic with no axiomatization, repairable epsilon-derivations, a refuted Bayesian convergence theorem, and what a proof must be

Four limits of formal systems: Medvedev undecidability, non-elementary frames, forcing translations, and paraconsistent possibility

Four tests for non-classical logic: S4 modalities, tense undecidability, proof complexity, and Beth companions

Frame Definability, Esakia Duality, Jump Closure, and Higher-Order Truth: Four Logic Papers from 24–27 August 2026

Gaps, intuitionistic frames, Scott continuity, internal truth: four logic papers from 17–20 August 2026

Orthomodular stability, predicate bundles, and Gödel's modal collapse: four August logic records

K3/LP, Heyting-valued modal logic, Gray's Elegy, and institutional facts: four August 2026 papers

Subreflexive consequence, forcing, lambda proofs, and adverb tableaux: four late-July logic papers

Formal Logic Trends Podcast

Four translations, and what each keeps or breaks: conditionals under Kratzer's restrictor, modal logic inside a probability space, consistency strength inside a reflection calculus, and Gödel's second theorem under a change of numbering

Four papers on modality below classical logic: trivalent conditionals get a probability theory, non-deterministic four-valued tables reach S0.5, the Nelson logics get a Dunn-style modality, and quantum logic gets a strict implication

Four papers on pinning a modal logic down: Cheq has no finite axiom system, uncountably many congruential logics have no neighborhood frame, closure semantics reaches the least modal logic, and dynamic epistemic logic gets a cut-free calculus

One question, four verdicts: IS4 is decidable, the translation from FO³ into the calculus of relations cannot be made small, free groups have no model companion, and groups of exponent 3 do

Four faces of correctness: a Strategy Logic with no axiomatization, repairable epsilon-derivations, a refuted Bayesian convergence theorem, and what a proof must be

Four limits of formal systems: Medvedev undecidability, non-elementary frames, forcing translations, and paraconsistent possibility

Four tests for non-classical logic: S4 modalities, tense undecidability, proof complexity, and Beth companions

Frame Definability, Esakia Duality, Jump Closure, and Higher-Order Truth: Four Logic Papers from 24–27 August 2026

Gaps, intuitionistic frames, Scott continuity, internal truth: four logic papers from 17–20 August 2026

Orthomodular stability, predicate bundles, and Gödel's modal collapse: four August logic records

K3/LP, Heyting-valued modal logic, Gray's Elegy, and institutional facts: four August 2026 papers

Subreflexive consequence, forcing, lambda proofs, and adverb tableaux: four late-July logic papers