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Podcast Profile: MCMP – Mathematical Philosophy (Archive 2011/12)

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248 episodes
2011 to 2013

Collection: Philosophy


Description (podcaster-provided):

Mathematical Philosophy - the application of logical and mathematical methods in philosophy - is about to experience a tremendous boom in various areas of philosophy. At the new Munich Center for Mathematical Philosophy, which is funded mostly by the German Alexander von Humboldt Foundation, philosophical research will be carried out mathematically, that is, by means of methods that are very close to those used by the scientists.
The purpose of doing philosophy in this way is not to reduce philosophy to mathematics or to natural science in any sense; rather mathematics is applied in order to derive philosophical conclusions from philosophical assumptions, just as in physics mathematical methods are used to derive physical predictions from physical laws.
Nor is the idea of mathematical philosophy to dismiss any of the ancient questions of philosophy as irrelevant or senseless: although modern mathematical philosophy owes a lot to the heritage of the Vienna and Berlin Circles of Logical Empiricism, unlike the Logical Empiricists most mathematical philosophers today are driven by the same traditional questions about truth, knowledge, rationality, the nature of objects, morality, and the like, which were driving the classical philosophers, and no area of traditional philosophy is taken to be intrinsically misguided or confused anymore. It is just that some of the traditional questions of philosophy can be made much clearer and much more precise in logical-mathematical terms, for some of these questions answers can be given by means of mathematical proofs or models, and on this basis new and more concrete philosophical questions emerge. This may then lead to philosophical progress, and ultimately that is the goal of the Center.


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.


Episodes:
Episode Image Anything Goes
2012-Jul-23

Episode Image Transcendental Proofs
2012-Oct-31

Episode Image Theory and Concept in Tarski's Philosophy of Language
2011-May-25

Episode Image Three contrasts between two senses of coherence
2011-Jul-31

Episode Image Adaptive Logics: Introduction, Applications, Computational Aspects and Recent Developments
2012-Feb-09

Episode Image A Single-Type Semantics for Natural Language
2012-May-07

Episode Image Explorations in Bayesian confirmation and models of information search
2011-Sep-22

Episode Image Homotopy Type Theory and Univalent Foundations of Mathematics
2012-Aug-06

Episode Image Alexander von Humboldt Professor Stephan Hartmann
2013-Jul-16

Episode Image Logic as Modelling
2011-Sep-22

Episode Image Empirical Research and The Philosophy of Mathematics
2011-Nov-03

Episode Image Modeling AGM Belief Revision by Possible Worlds Semantics: The Case of Chellas-Segerberg Semantics
2012-Jan-12

Episode Image What would count as Ibn Sina (11th c. Persia) having first order logic?
2012-Apr-18

Episode Image Wittgenstein and the Epistemology of Peer Disagreement
2012-Apr-18

Episode Image Truth, Syntax, Conservativity
2012-Mar-26

Episode Image The Bayesian Miracle
2012-Jan-26

Episode Image Explicating Dedekind: Existential Axiomatics or Logicist Abstration?
2012-Oct-24

Episode Image On Representation Theorems
2012-Nov-26

Episode Image Assumptions of Infinity
2012-May-07

Episode Image Comments on "The No Alternatives Argument" (Dawid, Hartmann, Sprenger)
2012-Aug-29

Episode Image Trouble with Properties for Better Best Systems
2012-Dec-17

Episode Image The Revision Theory of Truth (T#), FS and the Standard Model of PA
2012-May-07

Episode Image Comments on Ben Levinstein's "Leitgeb and Pettigrew on Accuracy and Updating"
2012-Jun-04

Episode Image Diachronic Dutch Book Arguments for Forgetful Agents
2011-Jun-30

Episode Image Can free evidence be bad?
2012-Jan-26

Episode Image Dynamic Logic of Reasoning
2012-Jan-27

Episode Image Accuracy, Chance, and the Principal Principle
2011-Jun-01

Episode Image Truth and Context Change
2011-Nov-17

Episode Image Modelling the use of 'true' in natural Language
2012-Mar-26

Episode Image Logical Dynamics of Intelligent Interaction
2011-Dec-01

Episode Image Are Theories of Reference Empirically Testable?
2011-Oct-20

Episode Image Belief Dynamics under Iterated Revision: Cycles, Fixed Points and Truth-tracking
2011-May-26

Episode Image Do 'Looks' Reports Reflect the Contents of Perception?
2011-May-23

Episode Image Toward Leibniz's Goal of a Computational Metaphysics
2011-Jun-12

Episode Image Possible Worlds, The Lewis Principle, and the Myth of a Large Ontology
2011-Jun-06

Episode Image Conclusive Reasons, Transmission, and Epistemic Closure
2011-Jun-12

Episode Image Computing Non-Causal Knowledge for Causal Reasoning
2011-Jun-12

Episode Image Proof-theoretic semantics and the format of deductive reasoning & Prawitz's completeness conjecture (A sketch of some ideas)
2011-Jun-17

Episode Image On the Emergence of Descriptive Norms
2011-Jun-17

Episode Image Frequencies, Chances and Undefinable Sets
2011-Jul-22

Episode Image Meaning and Interpretation in Birkhoff/Von Neumann quantum logic
2011-Sep-22

Episode Image Semantic Truth and the Correspondence Theory
2012-Mar-26

Episode Image Dynamic Proof Theories for Reasoning with (Conditional) Norms
2012-Oct-12

Episode Image Knowledge about Probability in the Monty Hall Problem
2011-Jun-16

Episode Image Every Proposition is a Counterfactual (the Robustly Contingent Ones Nontrivially So)
2011-Jul-01

Episode Image Formal epistemological explication (news for the Bayesian agenda)
2011-Jun-16

Episode Image Applying coherence based probability logic to philosophical problems
2011-Jun-16

Episode Image The Contradiction in Will Test: A Reconstruction
2011-Jul-08

Episode Image Logic and the Brain
2011-Jul-08

Episode Image Core Logic
2011-Jul-08

Episode Image A Generalised Sorites
2011-Oct-20

Episode Image Logical abstractions and logical objects in Frege: a critical approach
2012-Jan-26

Episode Image From Analysis to Explication
2011-Jul-28

Episode Image An "Evidentialist" Worry About Joyce's Argument for Probabilism.
2011-Sep-13

Episode Image Modal Logic From a Categorical Point of View
2011-Sep-22

Episode Image Group Presentation, Munich Center for Mathematical Philosophy (LMU)
2011-Sep-16

Episode Image Group Presentation, Munich Center for Mathematical Philosophy (LMU)
2011-Sep-13

Episode Image Tolerance & Voluntarism
2011-Aug-03

Episode Image Is logical knowledge dispositional?
2011-Sep-22

Episode Image Inexhaustibility and Reflection
2011-Sep-22

Episode Image Variations of Avoiding the Arrow Impasse
2011-Sep-23

Episode Image Systematicity: The Nature of Science
2011-Dec-01

Episode Image Two Varieties of Knowledge
2011-Nov-02

Episode Image Applications of multi-dimensional propositional logics
2011-Nov-16

Episode Image Axiomatic and Semantic Theories of Truth
2012-Apr-10

Episode Image Abstract Explanation and Difference-Making
2011-Dec-08

Episode Image Causal structural realism
2011-Dec-07

Episode Image Development of Counterfactual Reasoning & Emotions
2011-Dec-15

Episode Image Does Radical Uncertainty Require Regime Change?
2012-Jan-28

Episode Image Stratified Truth?
2012-Mar-26

Episode Image A Conception of Set-Theoretical Truth
2012-Apr-12

Episode Image Logic and reasoning
2012-Apr-19

Episode Image Let Three Flowers Bloom
2012-Mar-26

Episode Image A general approach to revenge paradoxes
2012-Mar-14

Episode Image Truth Without Detachment
2012-Mar-26

Episode Image The Theory of Probability Cores in Bayesian Epistemology and Decision Theory
2012-Jun-04

Episode Image Desirability of Conditionals
2012-Jul-12

Episode Image Inductive Logic (Part 2)
2012-Jun-04

Episode Image Comments on Julia Staffel's "Should I Pretend I'm Perfect?"
2012-Jun-04

Episode Image Should I pretend I'm perfect?
2012-Jun-04

Episode Image Influencing Behavior by Influencing Knowledge
2012-Jun-04

Episode Image Optimal Categorization
2012-Jul-12

Episode Image Assertion, Denial and the Logic of Definedness
2012-Apr-18

Episode Image A General Scoring Rule
2012-Jul-12

Episode Image Representation and Interpretation in Computational Philosophy
2012-Jul-12

Episode Image Semantic Games for Algorithmic Players
2012-Jul-12

Episode Image Tutorial Logic: Recent topics in Dynamic Epistemic Logic II
2012-Jul-12

Episode Image Syntax and Logical Revision
2012-Jul-23

Episode Image How the market gives us what we want - even if we are irrational
2012-Jul-12

Episode Image Mally's Deontic Logic (1926)
2012-Oct-12

Episode Image Exponential Discounting for Changing Preferences
2012-Jul-18

Episode Image Revising logic in light of paradox
2012-Jul-24

Episode Image Inductive Logic (Part 1)
2012-Jun-04

Episode Image Logic & Rationality
2012-Jun-04

Episode Image Semantic minimalism for logical constants
2012-Nov-21

Episode Image Separability and admissible factorisations
2012-Oct-12

Episode Image Weighting Value
2012-Oct-15

Episode Image Normative Consistency: an (X)stit account
2012-Oct-12

Episode Image Comments on Mark Jago's "Bounded Rationality and Epistemic Blindspots"
2012-Sep-05

Episode Image Inductive Proofs for Many-Hands Cases in Ethics
2012-Oct-12

Episode Image Comments on Hans Rott's "Two concepts of plausibility in default reasoning"
2012-Sep-06

Episode Image Dependence and Groundedness
2012-Oct-30

Episode Image Moral uncertainty and normative requirements of indifference
2012-Oct-15

Episode Image Ramsey vs. Lewis on conditionals and causation
2012-Dec-17

Episode Image New Channels for MCMP on iTunes U
2013-May-27

Episode Image Comments on Wolfgang Schwarz's "Lost Memories and Useless Coins"
2012-Jun-04

Episode Image Humeanism and dispositionalism in physics
2012-Dec-17

Episode Image Toward a formal account of substance via case-intensional logic
2012-Nov-22

Episode Image Modality and Categories
2011-Jun-06

Episode Image A Dictator Theorem on Belief Revision Derived from Arrow's Theorem
2011-Sep-23

Episode Image The 'fitting problem' for logical semantic systems
2011-Jun-08

Episode Image An Ontological Argument for the Existence of Numbers?
2011-Sep-22

Episode Image Neglect of Independence and Uncertainty (or Randomness) in the Axioms of Probability
2011-Oct-28

Episode Image On a Proposed Extension of Infinitary Logic
2011-Oct-27

Episode Image The ghosts of departed quantities as the soul of computation
2011-Dec-15

Episode Image An Empirically testable Theory of Causality
2012-Jan-12

Episode Image Ordering Risky Prospects - Prioritarianism: an Ecumenical Approach
2012-Jan-27

Episode Image Frege’s Philosophy of Geometry
2012-Jan-18

Episode Image Truth Approximation by Basic and Refined Belief Base Revision
2012-Jan-25

Episode Image Tutorial Decision Theory II: Conditionalization
2012-Jul-12

Episode Image Sequent Systems and Defining Rules
2012-Apr-12

Episode Image Deflationism vs Representationalism
2012-Apr-18

Episode Image Round Table on Coherence (Part 2)
2012-Oct-10

Episode Image Modeling the Coevolution of Theory and Language
2012-May-14

Episode Image What chance-credence norms should not be
2012-May-30

Episode Image "New Foundations" and Consistency
2012-May-18

Episode Image Reference and Circularity in First-Order Arithmetical Systems
2012-May-07

Episode Image Staying Regular?
2012-Jun-04

Episode Image Leitgeb and Pettigrew on Accuracy and Updating
2012-Jun-04

Episode Image Tutorial Logic: Recent topics in Dynamic Epistemic Logic I
2012-Jul-12

Episode Image Tutorial Decision Theory I: Decision theory in epistemology
2012-Jul-12

Episode Image The Reliability of Testimonial Norms in Academic Communities
2012-Jul-12

Episode Image Getting One for Two, or the Contractor's Bad Deal
2012-Jul-23

Episode Image Saving Logic from Paradox
2012-Jul-24

Episode Image Norms of truth and logical revision
2012-Jul-24

Episode Image Paradoxes of Consistency
2012-Jul-25

Episode Image Comments on Richard Pettigrew's "What chance-credence norms should not be"
2012-Aug-29

Episode Image Comments on Lara Buchak's "Risk and Tradeoffs"
2012-Aug-30

Episode Image Fairness and Counterfactuals
2012-Oct-12

Episode Image Minding the Is-Ought Gap
2012-Oct-13

Episode Image The Good Samaritan Paradox
2012-Oct-12

Episode Image Common Law Reasoning
2012-Oct-12

Episode Image The long-run stability of collective action
2012-Oct-15

Episode Image Updating on Conditionals
2012-Jan-26

Episode Image Formal Versions of Hume's Is-Ought Thesis
2012-Oct-12

Episode Image Social Choice and Comparative Justice: Correcting for Parochial Values
2012-Oct-15

Episode Image The Evolution of Norms in Structured Populations
2012-Oct-15

Episode Image Time and Knowability in Evolutionary Processes
2012-Oct-24

Episode Image Ground and Partial Content
2012-Oct-30

Episode Image Towards a theory of grounded properties
2012-Oct-26

Episode Image Local Dependence
2012-Oct-26

Episode Image Pure Logic of Iterated Ground
2012-Oct-26

Episode Image Grounding Class Theory
2012-Oct-30

Episode Image Classical negation and expansions of FDE
2012-Nov-21

Episode Image On Ground and Consequence
2012-Nov-21

Episode Image Logical Grounds
2012-Nov-21

Episode Image Local Disentanglement in Relativistic Quantum Field Theory
2012-Dec-10

Episode Image Interacting Modal Predicates
2011-Aug-22

Episode Image That's it, you're grounded!
2012-Oct-30

Episode Image Building a Better System
2012-Dec-17

Episode Image Alternative Supervaluation for Kripke's Theory of Truth
2012-Oct-26

Episode Image Naive Set Theory and Non-Transitive Logic
2012-Jul-25

Episode Image Ought Implies Can, Omission and Probabilistic Deliberative STIT
2012-May-30

Episode Image Pairwise Interactive Knowledge and Nash Equilibrium
2012-Jul-12

Episode Image Concept Calculus
2012-Oct-31

Episode Image Moral Judgments and Decisions in Trolley Problems
2012-Jul-11

Episode Image Weighting Evaluations
2012-Jul-12

Episode Image Logical Revision and Scientific Methodology
2012-Jul-24

Episode Image From Social Choice to Theory Choice
2012-Aug-06

Episode Image Comments on Alan Hájek's "Staying Regular?"
2012-Aug-30

Episode Image Two concepts of plausibility in default reasoning
2012-Jun-04

Episode Image Toward a Formal Framework for Some Fundamental Common Moral Statuses
2012-Oct-12

Episode Image Round Table on Acceptance (Part 1)
2012-Apr-18

Episode Image Why Physics Can't Explain Everything
2012-Dec-17

Episode Image Logic as an Instrument in Greek and Arabic Philosophy
2012-Dec-10

Episode Image Neuroscience Perspective on the Foundations of Mathematics
2012-Oct-26

Episode Image Making Contact with Molecules: On Perrin's Argument for Realism
2012-Dec-13

Episode Image If You Must Do Confirmation Theory - Do It This Way
2012-Aug-06

Episode Image Logic and the Liar
2012-Jul-23

Episode Image Constants and Consequences
2011-Dec-15

Episode Image Comments on Michael Morreau's "From Social Choice to Theory Choice"
2012-Jun-04

Episode Image Round Table on Coherence (Part 1)
2012-Jul-23

Episode Image The No Alternatives Argument
2012-Jun-04

Episode Image Bayesian Conditioning Revisited
2012-Jul-12

Episode Image Bounded Rationality and Epistemic Blindspots
2012-Jun-04

Episode Image Logic or probability? An ERP study on defeasible reasoning
2011-Nov-10

Episode Image Value Relations Revisited
2012-Jun-04

Episode Image General-Elimination Harmony
2012-Feb-07

Episode Image How uncertain do we need to be?
2012-Jan-28

Episode Image The Power of the Hexagon
2011-Dec-15

Episode Image Logic in Games
2011-Dec-01

Episode Image Carnap on extremal axioms and categoricity
2011-Jul-28

Episode Image Conditionals and Suppositions
2011-Jun-30

Episode Image Accuracy & Coherence
2011-Jun-16

Episode Image Tracking the Truth Requires a Non-wellfounded Prior!
2011-May-26

Episode Image Multiple Realization and the Computational Mind
2012-Jul-11

Episode Image Everything is knowable
2012-May-23

Episode Image Defusing Easy Arguments for Numbers
2012-Oct-25

Episode Image Constructive Decision Theory
2012-Jul-12

Episode Image Retrocausality - What Would it Take?
2011-Dec-15

Episode Image The Aletheic Paradoxes and Semantic Relativism
2012-Jul-23

Episode Image First-Order Extensions of Classical Modal Logic
2012-Jun-04

Episode Image Validity without Reference
2012-Feb-09

Episode Image The completeness of Kant's Table of Judgements and its consequences for philosophy of mathematics
2011-Nov-09

Episode Image Carnap's Logico-Mathematical Neutrality between Realism and Instrumentalism
2011-Jul-28

Episode Image Mathematical Science, Naturalism, and Normativity
2011-Jul-28

Episode Image Possibilities without possible worlds/histories
2011-Jun-30

Episode Image Voting, Deliberation and Truth
2011-Sep-16

Episode Image Russellian Descriptions & Gibbardian Indicatives (Two Case Studies Involving Automated Reasoning)
2011-Jun-12

Episode Image A dialogical, multi-agent account of the normativity of logic
2012-Jun-04

Episode Image Dynamic Ontology
2012-May-07

Episode Image Structural Realism in Linguistics
2011-Sep-22

Episode Image Diversity, Tolerance and the Social Contract
2012-Oct-15

Episode Image The conservativity of truth and the disentanglement of syntax and semantics
2011-May-23

Episode Image Set-Rationalizable Choice and Self-Stability
2011-Sep-23

Episode Image A Regret-Based Model for Wishful Thinkers
2011-Oct-27

Episode Image Logics as Scientific Theories
2011-Oct-26

Episode Image The Precautionary Principle Reconceptualized
2012-Jan-27

Episode Image Epistemic Modesty Defended
2012-Jun-04

Episode Image Contraction and Naive Validity
2012-Jul-23

Episode Image Revising Logic
2012-Jul-24

Episode Image Consequences of Reasoning with Conflicting Obligations
2012-Oct-12

Episode Image Cognitive motivations for treating formalisms as calculi
2011-Jun-12

Episode Image On an occasionally heard objection to Carnap's conception of logical truth
2011-Jul-28

Episode Image Alexander von Humboldt Professor Hannes Leitgeb
2011-Jun-08

Episode Image Revisionary Metaphysics Without Logical Revision?
2012-Jul-25

Episode Image Tonk, Nontransitivity, and Tolerance
2011-Aug-13

Episode Image The First-Order Logic of the Tractatus
2011-Dec-01

Episode Image How can we find some reasoning that people do, for which a particular logic is the appropriate model?
2011-Nov-11

Episode Image Subjective probabilities need not be sharp
2012-Jan-27

Episode Image Why Metrical Properties are not Powers
2012-Jan-19

Episode Image The Ins and Outs of Mathematical Explanation
2011-Oct-19

Episode Image Logics for 'Soft' Interactive Epistemology
2012-Jan-27

Episode Image Modeling Semantic Competence: a Critical Review of Frege's Puzzle (as an argument against Millianism)
2011-Nov-03

Episode Image The Lockean Thesis Revisited
2011-Jun-16

Episode Image Hume on Space and Geometry
2011-Jul-28

Episode Image IPAD – Information Processing and the Analysis of Democracy
2011-Sep-16

Episode Image Validity Curry
2011-Sep-22

Episode Image Self-reference
2011-Sep-13

Episode Image Is theory choice using epistemic virtues possible?
2011-Sep-22

Episode Image Paradox and Revenge
2012-Jul-25

Episode Image Mathematical cognition and mathematical structuralism
2012-Feb-09

Episode Image Round Table on Acceptance (Part 2)
2012-Apr-12

Episode Image Aggregating value judgments
2012-Jun-04

Episode Image Lost memories and useless coins: Revisiting the absentminded driver
2012-Jun-04

Episode Image Risk and Tradeoffs
2012-Jun-04

Episode Image A Copernican Revolution for Modal Fictionalism
2012-Aug-06

Episode Image Some remarks about logical truth
2012-Jul-25