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Formal & Physical Sciences MathematicsENLecture 1: Predicates, Sets, and ProofsZachary AbelJuly 22, 2025 78 min★ ★ ★ ★ ★ 5/5MathematicsProofsPredicates
Formal & Physical Sciences MathematicsENThe Logic of Quantified Statements (Predicate Logic)Ahmed YounesFebruary 22, 2025 75 min★ ★ ★ ★ ☆ 4/5Predicate LogicQuantifiersLogic
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Formal & Physical Sciences MathematicsENMilestones and Small Steps in Model Theory of ArithmeticRoman KossakJune 2, 2024 97 min★ ★ ★ ★ ☆ 4/5Model TheoryArithmeticNonstandard Models
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Humanities, Social Sciences & Thought MathematicsENWhat are consistency proofs and what should they beProf. Reinhard KahleJanuary 18, 2024 100 min★ ★ ★ ★ ☆ 4/5Consistency ProofsHilbert's ProgramGödel's Incompleteness Theorems
Formal & Physical Sciences MathematicsENReverse Mathematics: classifying theoremsKeita YokoyamaDecember 24, 2023 107 min★ ★ ★ ★ ☆ 4/5Reverse MathematicsSecond-Order ArithmeticBig Five
Formal & Physical Sciences MathematicsENNew results on incompleteness and ordinal analysisJames WalshNovember 11, 2023 103 min★ ★ ★ ★ ☆ 4/5Proof TheoryIncompletenessOrdinal Analysis
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Formal & Physical Sciences MathematicsENLecture series on concrete incompleteness-2: Proof theory of Peano ArithmeticProf. Andreas WeiermannAugust 5, 2023 131 min★ ★ ★ ★ ★ 5/5Proof TheoryPeano ArithmeticTransfinite Induction
Formal & Physical Sciences MathematicsENOn concrete incompleteness-4: Friedman style independence results for ordinals and finite treesAndreas WeiermannAugust 4, 2023 111 min★ ★ ★ ★ ☆ 4/5IncompletenessOrdinalsFinite Trees
Formal & Physical Sciences MathematicsENLecture series on concrete incompleteness-5: Phase transitionsAndreas WeiermannAugust 4, 2023 145 min★ ★ ★ ★ ☆ 4/5Concrete IncompletenessPhase TransitionsProof Theory
Formal & Physical Sciences MathematicsENLecture series on concrete incompleteness-3: Paris Harrington theoremProf. Andreas WeiermannAugust 4, 2023 109 min★ ★ ★ ★ ☆ 4/5Paris-Harrington TheoremIncompletenessRamsey Theory
Formal & Physical Sciences MathematicsENLecture series on concrete incompleteness-1: Cut elimination theoremAndreas WeiermannAugust 4, 2023 104 min★ ★ ★ ★ ☆ 4/5Proof TheoryCut EliminationSequent Calculus
Formal & Physical Sciences MathematicsENSoundness SpectraJuan P. AguileraJune 17, 2023 121 min★ ★ ★ ★ ☆ 4/5Proof TheoryOrdinal AnalysisDilators
Formal & Physical Sciences MathematicsENOn the (non)existence of proof sytems in universal proof theoryRosalie IemhoffMay 2, 2023 120 min★ ★ ★ ★ ☆ 4/5Proof TheorySequent CalculusUniversal Proof Theory
Formal & Physical Sciences MathematicsENThe Art of Ordinal AnalysisProf. Michael RathjenDecember 21, 2022 109 min★ ★ ★ ★ ★ 5/5Proof TheoryOrdinal AnalysisMathematical Logic
Formal & Physical Sciences MathematicsENEssential Hereditary UndecidabilityAlbert VisserDecember 18, 2022 106 min★ ★ ★ ★ ☆ 4/5LogicUndecidabilityGödel
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Formal & Physical Sciences MathematicsENNormal forms of proofs in natural deduction I: existence and uniquenessProf. Helmut SchwichtenbergNovember 12, 2022 113 min★ ★ ★ ★ ★ 5/5Proof TheoryNatural DeductionNormal Forms
Formal & Physical Sciences MathematicsENThe Provability of Consistency: Debunking the MythProf. Sergei ArtemovApril 15, 2022 129 min★ ★ ★ ★ ☆ 4/5Gödel's Incompleteness TheoremsPeano ArithmeticConsistency Proofs
Formal & Physical Sciences MathematicsENWhat is concrete incompleteness?Colin McLartyDecember 23, 2021 160 min★ ★ ★ ★ ☆ 4/5IncompletenessGödelHilbert
Formal & Physical Sciences MathematicsENJuan P. Aguilera: The Pi^1_2 Consequences of a theoryJuan P. AguileraAugust 31, 2021 40 min★ ★ ★ ★ ☆ 4/5Proof TheoryOrdinal AnalysisDilators
Formal & Physical Sciences MathematicsENSaul Aaron Kripke: A Model-Theoretic Approach to Gödel’s TheoremSaul Aaron KripkeAugust 30, 2021 29 min★ ★ ★ ★ ★ 5/5Gödel's TheoremModel TheoryLogic
Formal & Physical Sciences MathematicsENTaishi Kurahashi: Inclusions between quantified provability logicsTaishi KurahashiAugust 26, 2021 56 min★ ★ ★ ★ ☆ 4/5Provability LogicModal LogicArithmetic
Formal & Physical Sciences MathematicsENPavel Pudlák: Incompleteness theorems for weak theories of arithmetic and some stronger versionsPavel PudlákAugust 24, 2021 60 min★ ★ ★ ★ ☆ 4/5Gödel's Incompleteness TheoremsWeak ArithmeticProof Theory
Formal & Physical Sciences MathematicsENLev D. Beklemishev: Reflection Algebras and ProgressionsLev D. BeklemishevAugust 24, 2021 138 min★ ★ ★ ★ ☆ 4/5Proof TheoryReflection PrinciplesOrdinal Analysis
Formal & Physical Sciences MathematicsENAli Enayat: Tight TheoriesAli EnayatAugust 24, 2021 55 min★ ★ ★ ★ ☆ 4/5Mathematical LogicInterpretabilityPeano Arithmetic
Formal & Physical Sciences MathematicsENSam Sanders: Some theorems are more equal than others: a slow introduction to Reverse MathematicsSam SandersAugust 23, 2021 94 min★ ★ ★ ★ ☆ 4/5Reverse MathematicsMathematical LogicComputability Theory
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