Themes and summary (AI-generated based on podcaster-provided show and episode descriptions):
➤ Mathematical philosophy using logic and formal methods • truth, semantics, reference, context change • paradoxes, adaptive/dynamic logics, proof theory • Bayesianism, probability, coherence, decision theory • belief revision, epistemic norms, peer disagreement • foundations, infinity, type theory, structuralism • modality, possible worlds, laws, chance
This podcast presents academic talks and workshop contributions from the Munich Center for Mathematical Philosophy, focused on using formal, logical, and mathematical tools to address traditional philosophical questions. Across the episodes, a recurring aim is to make philosophical assumptions explicit and then draw consequences with proof techniques, models, and formal semantics, in a way that parallels mathematical and scientific theorizing without reducing philosophy to mathematics.
A major strand centers on logic and its variants: work on paradox and logical revision, adaptive logics for defeasible and inconsistency-tolerant reasoning, proof-theoretic semantics, core logic, and logical dynamics of interaction and reasoning. Several contributions connect logic to philosophy of language, including formal semantics for natural language, dynamic semantics and context change, theories of reference, and detailed engagement with Tarski’s work on truth and semantic theory; truth also appears via revision theories and debates about axiomatic versus semantic approaches.
Another prominent theme is formal epistemology and decision theory. Episodes discuss Bayesian confirmation, accuracy-based epistemology, Dutch book and coherence arguments (including diachronic cases and bounded or forgetful agents), belief revision and iterated learning dynamics, representation theorems in decision theory, and issues surrounding evidence, chance, and probability (from subjective coherence to frequentist hypotheses).
The philosophy and foundations of mathematics appear through topics such as assumptions of infinity, structuralism (including interpretations of Dedekind), and newer foundational programs like homotopy type theory and univalent foundations, alongside reflections on the role of empirical research in understanding mathematical cognition.
Additional areas include laws of nature and properties, modality and counterfactuals, computational metaphysics, and formal approaches to norms and ethics. Overall, the content is research-oriented and typically presented in the style of specialized lectures with abstracts and technical motivation.
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Episodes:
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Anything Goes
2012-Jul-23
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Transcendental Proofs
2012-Oct-31
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Theory and Concept in Tarski's Philosophy of Language
2011-May-25
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Three contrasts between two senses of coherence
2011-Jul-31
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Adaptive Logics: Introduction, Applications, Computational Aspects and Recent Developments
2012-Feb-09
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A Single-Type Semantics for Natural Language
2012-May-07
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Explorations in Bayesian confirmation and models of information search
2011-Sep-22
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Homotopy Type Theory and Univalent Foundations of Mathematics
2012-Aug-06
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Alexander von Humboldt Professor Stephan Hartmann
2013-Jul-16
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Logic as Modelling
2011-Sep-22
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Empirical Research and The Philosophy of Mathematics
2011-Nov-03
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Modeling AGM Belief Revision by Possible Worlds Semantics: The Case of Chellas-Segerberg Semantics
2012-Jan-12
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What would count as Ibn Sina (11th c. Persia) having first order logic?
2012-Apr-18
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Wittgenstein and the Epistemology of Peer Disagreement
2012-Apr-18
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Truth, Syntax, Conservativity
2012-Mar-26
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The Bayesian Miracle
2012-Jan-26
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Explicating Dedekind: Existential Axiomatics or Logicist Abstration?
2012-Oct-24
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On Representation Theorems
2012-Nov-26
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Assumptions of Infinity
2012-May-07
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Comments on "The No Alternatives Argument" (Dawid, Hartmann, Sprenger)
2012-Aug-29
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Trouble with Properties for Better Best Systems
2012-Dec-17
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The Revision Theory of Truth (T#), FS and the Standard Model of PA
2012-May-07
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Comments on Ben Levinstein's "Leitgeb and Pettigrew on Accuracy and Updating"
2012-Jun-04
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Diachronic Dutch Book Arguments for Forgetful Agents
2011-Jun-30
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Can free evidence be bad?
2012-Jan-26
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Dynamic Logic of Reasoning
2012-Jan-27
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Accuracy, Chance, and the Principal Principle
2011-Jun-01
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Truth and Context Change
2011-Nov-17
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Modelling the use of 'true' in natural Language
2012-Mar-26
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Logical Dynamics of Intelligent Interaction
2011-Dec-01
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Are Theories of Reference Empirically Testable?
2011-Oct-20
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Belief Dynamics under Iterated Revision: Cycles, Fixed Points and Truth-tracking
2011-May-26
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Do 'Looks' Reports Reflect the Contents of Perception?
2011-May-23
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Toward Leibniz's Goal of a Computational Metaphysics
2011-Jun-12
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Possible Worlds, The Lewis Principle, and the Myth of a Large Ontology
2011-Jun-06
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Conclusive Reasons, Transmission, and Epistemic Closure
2011-Jun-12
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Computing Non-Causal Knowledge for Causal Reasoning
2011-Jun-12
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Proof-theoretic semantics and the format of deductive reasoning & Prawitz's completeness conjecture (A sketch of some ideas)
2011-Jun-17
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On the Emergence of Descriptive Norms
2011-Jun-17
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Frequencies, Chances and Undefinable Sets
2011-Jul-22
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Meaning and Interpretation in Birkhoff/Von Neumann quantum logic
2011-Sep-22
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Semantic Truth and the Correspondence Theory
2012-Mar-26
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Dynamic Proof Theories for Reasoning with (Conditional) Norms
2012-Oct-12
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Knowledge about Probability in the Monty Hall Problem
2011-Jun-16
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Every Proposition is a Counterfactual (the Robustly Contingent Ones Nontrivially So)
2011-Jul-01
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Formal epistemological explication (news for the Bayesian agenda)
2011-Jun-16
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Applying coherence based probability logic to philosophical problems
2011-Jun-16
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The Contradiction in Will Test: A Reconstruction
2011-Jul-08
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Logic and the Brain
2011-Jul-08
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Core Logic
2011-Jul-08
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A Generalised Sorites
2011-Oct-20
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Logical abstractions and logical objects in Frege: a critical approach
2012-Jan-26
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From Analysis to Explication
2011-Jul-28
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An "Evidentialist" Worry About Joyce's Argument for Probabilism.
2011-Sep-13
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Modal Logic From a Categorical Point of View
2011-Sep-22
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Group Presentation, Munich Center for Mathematical Philosophy (LMU)
2011-Sep-16
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Group Presentation, Munich Center for Mathematical Philosophy (LMU)
2011-Sep-13
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Tolerance & Voluntarism
2011-Aug-03
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Is logical knowledge dispositional?
2011-Sep-22
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Inexhaustibility and Reflection
2011-Sep-22
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Variations of Avoiding the Arrow Impasse
2011-Sep-23
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Systematicity: The Nature of Science
2011-Dec-01
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Two Varieties of Knowledge
2011-Nov-02
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Applications of multi-dimensional propositional logics
2011-Nov-16
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Axiomatic and Semantic Theories of Truth
2012-Apr-10
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Abstract Explanation and Difference-Making
2011-Dec-08
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Causal structural realism
2011-Dec-07
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Development of Counterfactual Reasoning & Emotions
2011-Dec-15
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Does Radical Uncertainty Require Regime Change?
2012-Jan-28
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Stratified Truth?
2012-Mar-26
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A Conception of Set-Theoretical Truth
2012-Apr-12
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Logic and reasoning
2012-Apr-19
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Let Three Flowers Bloom
2012-Mar-26
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A general approach to revenge paradoxes
2012-Mar-14
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Truth Without Detachment
2012-Mar-26
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The Theory of Probability Cores in Bayesian Epistemology and Decision Theory
2012-Jun-04
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Desirability of Conditionals
2012-Jul-12
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Inductive Logic (Part 2)
2012-Jun-04
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Comments on Julia Staffel's "Should I Pretend I'm Perfect?"
2012-Jun-04
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Should I pretend I'm perfect?
2012-Jun-04
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Influencing Behavior by Influencing Knowledge
2012-Jun-04
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Optimal Categorization
2012-Jul-12
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Assertion, Denial and the Logic of Definedness
2012-Apr-18
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A General Scoring Rule
2012-Jul-12
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Representation and Interpretation in Computational Philosophy
2012-Jul-12
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Semantic Games for Algorithmic Players
2012-Jul-12
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Tutorial Logic: Recent topics in Dynamic Epistemic Logic II
2012-Jul-12
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Syntax and Logical Revision
2012-Jul-23
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How the market gives us what we want - even if we are irrational
2012-Jul-12
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Mally's Deontic Logic (1926)
2012-Oct-12
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Exponential Discounting for Changing Preferences
2012-Jul-18
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Revising logic in light of paradox
2012-Jul-24
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Inductive Logic (Part 1)
2012-Jun-04
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Logic & Rationality
2012-Jun-04
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Semantic minimalism for logical constants
2012-Nov-21
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Separability and admissible factorisations
2012-Oct-12
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Weighting Value
2012-Oct-15
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Normative Consistency: an (X)stit account
2012-Oct-12
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Comments on Mark Jago's "Bounded Rationality and Epistemic Blindspots"
2012-Sep-05
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Inductive Proofs for Many-Hands Cases in Ethics
2012-Oct-12
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Comments on Hans Rott's "Two concepts of plausibility in default reasoning"
2012-Sep-06
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Dependence and Groundedness
2012-Oct-30
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Moral uncertainty and normative requirements of indifference
2012-Oct-15
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Ramsey vs. Lewis on conditionals and causation
2012-Dec-17
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New Channels for MCMP on iTunes U
2013-May-27
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Comments on Wolfgang Schwarz's "Lost Memories and Useless Coins"
2012-Jun-04
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Humeanism and dispositionalism in physics
2012-Dec-17
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Toward a formal account of substance via case-intensional logic
2012-Nov-22
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Modality and Categories
2011-Jun-06
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A Dictator Theorem on Belief Revision Derived from Arrow's Theorem
2011-Sep-23
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The 'fitting problem' for logical semantic systems
2011-Jun-08
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An Ontological Argument for the Existence of Numbers?
2011-Sep-22
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Neglect of Independence and Uncertainty (or Randomness) in the Axioms of Probability
2011-Oct-28
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On a Proposed Extension of Infinitary Logic
2011-Oct-27
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The ghosts of departed quantities as the soul of computation
2011-Dec-15
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An Empirically testable Theory of Causality
2012-Jan-12
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Ordering Risky Prospects - Prioritarianism: an Ecumenical Approach
2012-Jan-27
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Frege’s Philosophy of Geometry
2012-Jan-18
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Truth Approximation by Basic and Refined Belief Base Revision
2012-Jan-25
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Tutorial Decision Theory II: Conditionalization
2012-Jul-12
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Sequent Systems and Defining Rules
2012-Apr-12
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Deflationism vs Representationalism
2012-Apr-18
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Round Table on Coherence (Part 2)
2012-Oct-10
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Modeling the Coevolution of Theory and Language
2012-May-14
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What chance-credence norms should not be
2012-May-30
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"New Foundations" and Consistency
2012-May-18
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Reference and Circularity in First-Order Arithmetical Systems
2012-May-07
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Staying Regular?
2012-Jun-04
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Leitgeb and Pettigrew on Accuracy and Updating
2012-Jun-04
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Tutorial Logic: Recent topics in Dynamic Epistemic Logic I
2012-Jul-12
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Tutorial Decision Theory I: Decision theory in epistemology
2012-Jul-12
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The Reliability of Testimonial Norms in Academic Communities
2012-Jul-12
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Getting One for Two, or the Contractor's Bad Deal
2012-Jul-23
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Saving Logic from Paradox
2012-Jul-24
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Norms of truth and logical revision
2012-Jul-24
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Paradoxes of Consistency
2012-Jul-25
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Comments on Richard Pettigrew's "What chance-credence norms should not be"
2012-Aug-29
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Comments on Lara Buchak's "Risk and Tradeoffs"
2012-Aug-30
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Fairness and Counterfactuals
2012-Oct-12
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Minding the Is-Ought Gap
2012-Oct-13
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The Good Samaritan Paradox
2012-Oct-12
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Common Law Reasoning
2012-Oct-12
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The long-run stability of collective action
2012-Oct-15
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Updating on Conditionals
2012-Jan-26
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Formal Versions of Hume's Is-Ought Thesis
2012-Oct-12
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Social Choice and Comparative Justice: Correcting for Parochial Values
2012-Oct-15
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The Evolution of Norms in Structured Populations
2012-Oct-15
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Time and Knowability in Evolutionary Processes
2012-Oct-24
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Ground and Partial Content
2012-Oct-30
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Towards a theory of grounded properties
2012-Oct-26
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Local Dependence
2012-Oct-26
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Pure Logic of Iterated Ground
2012-Oct-26
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Grounding Class Theory
2012-Oct-30
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Classical negation and expansions of FDE
2012-Nov-21
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On Ground and Consequence
2012-Nov-21
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Logical Grounds
2012-Nov-21
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Local Disentanglement in Relativistic Quantum Field Theory
2012-Dec-10
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Interacting Modal Predicates
2011-Aug-22
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That's it, you're grounded!
2012-Oct-30
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Building a Better System
2012-Dec-17
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Alternative Supervaluation for Kripke's Theory of Truth
2012-Oct-26
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Naive Set Theory and Non-Transitive Logic
2012-Jul-25
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Ought Implies Can, Omission and Probabilistic Deliberative STIT
2012-May-30
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Pairwise Interactive Knowledge and Nash Equilibrium
2012-Jul-12
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Concept Calculus
2012-Oct-31
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Moral Judgments and Decisions in Trolley Problems
2012-Jul-11
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Weighting Evaluations
2012-Jul-12
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Logical Revision and Scientific Methodology
2012-Jul-24
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From Social Choice to Theory Choice
2012-Aug-06
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Comments on Alan Hájek's "Staying Regular?"
2012-Aug-30
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Two concepts of plausibility in default reasoning
2012-Jun-04
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Toward a Formal Framework for Some Fundamental Common Moral Statuses
2012-Oct-12
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Round Table on Acceptance (Part 1)
2012-Apr-18
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Why Physics Can't Explain Everything
2012-Dec-17
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Logic as an Instrument in Greek and Arabic Philosophy
2012-Dec-10
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Neuroscience Perspective on the Foundations of Mathematics
2012-Oct-26
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Making Contact with Molecules: On Perrin's Argument for Realism
2012-Dec-13
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If You Must Do Confirmation Theory - Do It This Way
2012-Aug-06
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Logic and the Liar
2012-Jul-23
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Constants and Consequences
2011-Dec-15
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Comments on Michael Morreau's "From Social Choice to Theory Choice"
2012-Jun-04
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Round Table on Coherence (Part 1)
2012-Jul-23
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The No Alternatives Argument
2012-Jun-04
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Bayesian Conditioning Revisited
2012-Jul-12
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Bounded Rationality and Epistemic Blindspots
2012-Jun-04
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Logic or probability? An ERP study on defeasible reasoning
2011-Nov-10
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Value Relations Revisited
2012-Jun-04
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General-Elimination Harmony
2012-Feb-07
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How uncertain do we need to be?
2012-Jan-28
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The Power of the Hexagon
2011-Dec-15
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Logic in Games
2011-Dec-01
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Carnap on extremal axioms and categoricity
2011-Jul-28
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Conditionals and Suppositions
2011-Jun-30
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Accuracy & Coherence
2011-Jun-16
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Tracking the Truth Requires a Non-wellfounded Prior!
2011-May-26
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Multiple Realization and the Computational Mind
2012-Jul-11
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Everything is knowable
2012-May-23
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Defusing Easy Arguments for Numbers
2012-Oct-25
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Constructive Decision Theory
2012-Jul-12
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Retrocausality - What Would it Take?
2011-Dec-15
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The Aletheic Paradoxes and Semantic Relativism
2012-Jul-23
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First-Order Extensions of Classical Modal Logic
2012-Jun-04
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Validity without Reference
2012-Feb-09
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The completeness of Kant's Table of Judgements and its consequences for philosophy of mathematics
2011-Nov-09
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Carnap's Logico-Mathematical Neutrality between Realism and Instrumentalism
2011-Jul-28
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Mathematical Science, Naturalism, and Normativity
2011-Jul-28
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Possibilities without possible worlds/histories
2011-Jun-30
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Voting, Deliberation and Truth
2011-Sep-16
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Russellian Descriptions & Gibbardian Indicatives (Two Case Studies Involving Automated Reasoning)
2011-Jun-12
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A dialogical, multi-agent account of the normativity of logic
2012-Jun-04
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Dynamic Ontology
2012-May-07
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Structural Realism in Linguistics
2011-Sep-22
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Diversity, Tolerance and the Social Contract
2012-Oct-15
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The conservativity of truth and the disentanglement of syntax and semantics
2011-May-23
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Set-Rationalizable Choice and Self-Stability
2011-Sep-23
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A Regret-Based Model for Wishful Thinkers
2011-Oct-27
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Logics as Scientific Theories
2011-Oct-26
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The Precautionary Principle Reconceptualized
2012-Jan-27
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Epistemic Modesty Defended
2012-Jun-04
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Contraction and Naive Validity
2012-Jul-23
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Revising Logic
2012-Jul-24
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Consequences of Reasoning with Conflicting Obligations
2012-Oct-12
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Cognitive motivations for treating formalisms as calculi
2011-Jun-12
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On an occasionally heard objection to Carnap's conception of logical truth
2011-Jul-28
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Alexander von Humboldt Professor Hannes Leitgeb
2011-Jun-08
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Revisionary Metaphysics Without Logical Revision?
2012-Jul-25
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Tonk, Nontransitivity, and Tolerance
2011-Aug-13
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The First-Order Logic of the Tractatus
2011-Dec-01
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How can we find some reasoning that people do, for which a particular logic is the appropriate model?
2011-Nov-11
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Subjective probabilities need not be sharp
2012-Jan-27
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Why Metrical Properties are not Powers
2012-Jan-19
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The Ins and Outs of Mathematical Explanation
2011-Oct-19
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Logics for 'Soft' Interactive Epistemology
2012-Jan-27
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Modeling Semantic Competence: a Critical Review of Frege's Puzzle (as an argument against Millianism)
2011-Nov-03
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The Lockean Thesis Revisited
2011-Jun-16
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Hume on Space and Geometry
2011-Jul-28
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IPAD – Information Processing and the Analysis of Democracy
2011-Sep-16
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Validity Curry
2011-Sep-22
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Self-reference
2011-Sep-13
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Is theory choice using epistemic virtues possible?
2011-Sep-22
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Paradox and Revenge
2012-Jul-25
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Mathematical cognition and mathematical structuralism
2012-Feb-09
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Round Table on Acceptance (Part 2)
2012-Apr-12
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Aggregating value judgments
2012-Jun-04
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Lost memories and useless coins: Revisiting the absentminded driver
2012-Jun-04
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Risk and Tradeoffs
2012-Jun-04
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A Copernican Revolution for Modal Fictionalism
2012-Aug-06
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Some remarks about logical truth
2012-Jul-25
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