Site • RSS • Apple PodcastsDescription (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.Themes and summary (AI-generated based on podcaster-provided show and episode descriptions):
➤ mathematical philosophy using logic/models • metaphysics: structuralism, dependence, modality, laws • philosophy of language/semantics: compositionality, opacity, quotation, conditionals • realism debates: measurement, magnitudes, structural realism • logic, existence, truth relativism • rational arguments about God • disease ontology/classificationThis podcast presents research talks and discussions in mathematical philosophy, emphasizing the use of logical, mathematical, and model-theoretic tools to clarify and advance traditional philosophical questions. Across the episodes, speakers develop precise frameworks for issues in metaphysics and the philosophy of language, often drawing on formal semantics, logic, and the structure of scientific theories.
A recurring theme is how abstract structures and theoretical entities relate to the world: debates over mathematical structuralism and metaphysical dependence, forms of realism (including structural realism), and how measurement can be objective while raising questions about commitment to magnitudes or quantitative properties. Several talks examine whether core logical principles are truly topic-neutral or whether they carry metaphysical presuppositions, including concerns about ontological commitment to abstract objects and strategies for avoiding it.
The philosophy of language and formal semantics also features prominently, with detailed attention to compositionality, opacity and intensionality, quotation, and the semantics of conditionals. These discussions treat classic Fregean ideas alongside contemporary possible-worlds semantics and linguistic methodology, asking how meaning is built from parts, how scope and context affect interpretation, and whether apparent counterexamples to standard inference rules rest on semantic misanalysis.
Interwoven with these formal topics are applications to broader philosophical domains, including accounts of modality grounded in dispositions, metaphysical approaches to laws of nature (such as the principle of least action), the ontology and classification of disease, relativism about truth and assertibility in ethics, and a sustained exchange over the rational assessment of arguments for and against the existence of God.