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 of science • formal models for causation, probability, induction, belief revision • explanation, understanding, confirmation • physics foundations: relativity, quantum, statistical mechanics, symmetry, quantum gravity • emergence, reduction • modeling methods: algorithms, simulations, games, decision-making, knowledge integration
This podcast presents research talks in mathematical philosophy and philosophy of science, centered on using formal tools—logic, probability theory, decision theory, and mathematical modeling—to clarify traditional philosophical questions and to analyze scientific reasoning as it is practiced in fields like physics, biology, and the social sciences. Much of the content is structured as colloquium and workshop lectures, often combining technical frameworks with methodological and conceptual discussion.
A recurring theme is how scientific theories explain and justify claims about the world. Several talks focus on competing accounts of explanation—causal, statistical, unificationist, mechanistic, and model-based—and on whether mathematics can be genuinely explanatory rather than merely descriptive. Related discussions examine scientific understanding and intelligibility, including the roles of context, background assumptions, and historical change in what counts as an understandable theory.
Probability and inference form another major strand. Episodes address subjective versus objective interpretations of probability, the relation between propensities, chances, and frequencies, and formal approaches to induction, confirmation, and prediction (including critiques of attempts to justify simplicity principles such as Occam’s razor). There is sustained attention to belief revision and belief updating, convergence properties of iterated updates, and the limits introduced by idealizing assumptions about agents’ information and reasoning capacities.
The podcast also emphasizes causation and causal reasoning across domains: evaluating theories of causation, connecting counterfactual and difference-making approaches to data-intensive (so-called “big data”) modeling, and examining locality and causality principles in quantum theory. In parallel, there is considerable engagement with inter-theoretic relations—reduction, emergence, multiple realizability, and theory unification—often illustrated through case studies from statistical mechanics, relativity, quantum gravity, and particle physics.
Finally, several talks use formal and computational models to study complex systems and social-epistemic dynamics, including agent-based simulations in sociology, models of scientific communities and division of cognitive labor, voting and game-theoretic models of collective choice, and formal work on language, conversation, and context in communication.
|
Episodes:
|
Context, Conversation, and Fragmentation
2015-Jul-08
47 minutes
|
Fifteen Dimensions of Evaluating Theories of Causation. A Case Study of the Structural Model and the Ranking Theoretic Approach to Causation
2015-Jul-10
57 minutes
|
On the Role of the Light Postulate in Relativity
2015-Jun-30
57 minutes
|
Explaining Macroscopic Systems from Microscopic Principles
2015-Jun-30
42 minutes
|
Convergence of Iterated Belief Updates
2015-Jun-30
54 minutes
|
The Causual Nature of Modeling in Data-Intensive Science
2015-Jun-30
61 minutes
|
Against Grue Mysteries
2015-Jun-30
45 minutes
|
On Einstein's Reality Criterion
2015-Jun-30
42 minutes
|
Predicting Outcomes in Five Person Spatial Games: An Aspiration Model Approach
2015-May-28
80 minutes
|
Modeling Cognitive Representations with Evolutionary Game Theory
2015-May-12
35 minutes
|
Structures, Mechanisms and Dynamics in Theoretical Neuroscience
2015-May-12
50 minutes
|
The Mathematical Route to Causal Understanding
2015-May-11
47 minutes
|
Philosophy of Statistical Mechanics from an Emergentist Viewpoint
2015-May-12
63 minutes
|
Occam's Razor in Algorithmic Information Theory
2015-Feb-20
36 minutes
|
Vindicating Methodological Triangulation
2015-Jan-16
19 minutes
|
Mathematical Explanations of Non-Mathematical Facts?
2015-Jan-16
44 minutes
|
Science, Metaphysics, and Understanding
2014-Dec-31
49 minutes
|
Navigating the Twilight of Uncertainty: Decisions from Experience
2015-Jul-08
54 minutes
|
Use-novelty and double-counting: new insights from model selection theory
2014-Dec-18
55 minutes
|
On de Finetti's Instrumentalist Philosophy of Probability
2014-Dec-18
57 minutes
|
Indigenous and Scientific Knowledge. A Model of Knowledge Integration and its Limitations.
2015-Jul-08
43 minutes
|
The Varieties of Explanations in the Higgs Sector
2014-Dec-18
57 minutes
|
Propensities, Chance Distributions, and Experimental Statistics
2019-Apr-18
55 minutes
|
Unifying Causal and Non-Causal Knowledge
2014-Oct-06
56 minutes
|
On the Distinction between Internal and External Symmetries
2019-Apr-18
43 minutes
|
Model Tuning and Predictivism
2019-Apr-18
40 minutes
|
Rational Routines
2019-Apr-18
36 minutes
|
Agent-based simulations in empirical sociological research
2019-Apr-18
47 minutes
|
Persistence of the lifeworld? On the relation of lifeworld and science
2019-Apr-18
33 minutes
|
An Analogical Inductive Logic for Partially Exchangeable Families of Attributes
2019-Apr-18
74 minutes
|
Computational Model as Generic Mechanisms
2019-Apr-18
48 minutes
|
On the Justification of Deduction and Induction
2019-Apr-18
69 minutes
|
On Bell's local causality in local classical and quantum theory
2019-Apr-18
58 minutes
|
On Mathematical Explanation of Physical Facts
2014-May-02
47 minutes
|
The epistemic division of labour revisited
2014-May-02
47 minutes
|
Theory convergence in approaches to quantum gravity?
2014-Feb-21
62 minutes
|
Chaos beyond the Butterfly Effect: The Poison Pill of Structural Model Error
2014-Feb-21
55 minutes
|
Inductive logic for rich languages
2014-Feb-18
60 minutes
|
String Theory and the Scientific Method
2014-Feb-21
54 minutes
|
Cross-Level Linkages in Neurobiology
2014-Jan-28
49 minutes
|
Emergence and Explanation
2014-Jan-28
28 minutes
|
Scarecrow’s Brain and Homunculi: Neurobiological Reductionism as Ensoulment-Objectification Process Seen Through Anthropological Lenses
2014-Jan-28
33 minutes
|
The Completion of Logical Empiricism: Hempel's Pragmatic Turn
2019-Apr-18
36 minutes
|
Heterogeneity and Emergence in the Social Sciences
2014-Jan-28
30 minutes
|
How Can One and the Same Thing be Subject to Different Theories? On the Proper Logic for Non-Reductive Monism
2014-Jan-28
39 minutes
|
Technical Aspects of Reduction and Multiple Realizability
2014-Jan-28
30 minutes
|
"Reversed Reduction" in Gibbsian Statistical Mechanics
2014-Jan-28
32 minutes
|
Holography and the Emergence of Gravity
2014-Jan-28
40 minutes
|
Novelty and autonomy as bases for, or alternatives to, a conception of emergence in physics
2014-Jan-28
26 minutes
|
Theory Reduction in Physics: A Model-Based, Dynamical Systems Approach
2014-Jan-28
33 minutes
|
The Topology of Intertheoretic Reduction
2014-Jan-28
28 minutes
|
Inter-theoretic relations: The Brønsted Lowry theory of acids and microphysics
2014-Jan-28
32 minutes
|
An Explication of Emergence
2014-Jan-28
27 minutes
|
Reduction in Economics: Causality and Intentionality in the Microfoundations of Macroeconomics
2014-Jan-28
57 minutes
|
Agent-based models as mixed-level: lessons from E.coli
2014-Jan-28
27 minutes
|
From Dressed Electrons to Quasiparticles: The Emergence of Emergent Entities in Quantum Field Theory
2014-Jan-28
32 minutes
|
The Physics of Ontological Emergence
2014-Jan-28
51 minutes
|
Reduction and Emergence in Physics
2014-Feb-21
41 minutes
|
To map or not to map: or, how to represent auditory space
2014-Mar-05
50 minutes
|
Completeness, Categoricity, and Dismissal
2013-Nov-03
62 minutes
|
Evolving Perceptual Categories
2013-Nov-03
44 minutes
|
Reason-based rationalization
2013-Oct-10
70 minutes
|
A Model-Based Epistemology of Measurement
2019-Apr-18
49 minutes
|
Separating Truth from Its Idealization
2019-Apr-18
47 minutes
|
From Shannon's Axiomatic Approach to a New Sense of Biological Information
2019-Apr-18
52 minutes
|
Making sense of multiple climate models' projections
2019-Apr-18
38 minutes
|
Rationality and the Bayesian Paradigm
2019-Apr-18
46 minutes
|
Cooperation and (structural) Rationality
2019-Apr-18
51 minutes
|
Idealization, Prediction, Difference-Making
2019-Apr-18
41 minutes
|
Evaluating Risky Prospects: The Distribution View
2019-Apr-18
63 minutes
|
Theoretical Terms, Ramsey Sentences and Structural Realism
2019-Apr-18
49 minutes
|
The Criteria for the Empirical Significance of Terms
2019-Apr-18
35 minutes
|
Typicality in Statistical Physics and Dynamical Systems Theory
2019-Apr-18
37 minutes
|
Causal-descriptivism Revisited
2019-Apr-18
54 minutes
|
Leibniz Equivalence
2019-Apr-18
53 minutes
|
Theoretical Terms and Induction
2019-Apr-18
58 minutes
|
The epsilon-reconstruction of theories and scientific structuralism
2019-Apr-18
30 minutes
|
Definition, elimination and introduction of theoretical terms
2019-Apr-18
30 minutes
|
Implicitly defining mathematical terms
2019-Apr-18
35 minutes
|
Causality and Theoretical Terms in Physics
2019-Apr-18
50 minutes
|
Theoretical Terms, Ideal Objects and Zalta's Abstract Objects Theory
2019-Apr-18
33 minutes
|
Avoiding Reification
2019-Apr-18
29 minutes
|
Descriptivism about Theoretical Concepts Implies Ramsification or (Poincarean) Conventionalism
2019-Apr-18
47 minutes
|
How Almost Everything in Space-time Theory Is Illuminated by Simple Particle Physics: The Neglected Case of Massive Scalar Gravity
2019-Apr-18
59 minutes
|
On the Conception of Fundamentality of Time-Asymmetries in Physics
2019-Apr-18
50 minutes
|
Simplicity and Measurability in Science
2019-Apr-18
42 minutes
|