MCMP – Logic

MCMP – Logic

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MCMP – Logic episodes

  • Models of Paraconsistent Set Theory
    Graham Priest (CUNY, Arché) gives a talk at the Workshop on Meaning: Models and Proofs (11-12 Oct, 2013, co-organized by the MCMP and the Arché Research Centre, St Andrews) titled "Models of Paraconsistent Set Theory".
    56 min
  • Actual causation using CP-logic
    Sander Beckers (Leuven) gives a talk at the MCMP Colloquium (6 November, 2013) titled "Actual causation using CP-logic". Abstract: Since Pearl’s seminal work on providing a formal language for causality, the subject has garnered a lot of interest among philosophers and researchers in artificial intelligence alike. One of the most debated topics in this context regards the notion of actual causation, or token causation, which concerns itself with specific - as opposed to general - causal claims. The search for a proper formal definition of actual causation has evolved into a controversial debate, that is pervaded with ambiguities and confusion. One of the goals of our research is to provide a clear way for comparing competing definitions, by translating the main existing approaches into one formal paradigm, namely CP-logic (Causal Probabilistic logic). Another goal we have is to relate the abstract philosophical discussion to practical applications of causal reasoning. In this talk we shall do so by focusing on the definition(s) offered by Ned Hall (2004, 2007). We will show how his ideas can be expressed in the CP-logic framework, and how this can be seen as an improvement. Further, we shall contrast his definition with our own.
    1 hr 7 min
  • Understanding and inference
    Florian Steinberger (MCMP/LMU) gives a talk at the Workshop on Meaning: Models and Proofs (11-12 Oct, 2013, co-organized by the MCMP and the Arché Research Centre, St Andrews) titled "Understanding and inference".
    58 min
  • Models of Paraconsistent Set Theory
    Graham Priest (CUNY, Arché) gives a talk at the Workshop on Meaning: Models and Proofs (11-12 Oct, 2013, co-organized by the MCMP and the Arché Research Centre, St Andrews) titled "Models of Paraconsistent Set Theory".
    56 min
  • Qualifying quantifying-in
    Bjørn Jespersen (TU Ostrava) gives a talk at the MCMP Colloquium (24 October, 2013) titled "Qualifying quantifying-in". Abstract: If you know that Munich is a city, does it follow that there is an individual x and a property f such that you know that x is an f? Similarly, if you find the millionth digit of the decimal expansion of π, does it follow that there is a number y such that you find y? It does, provided the rule of existential generalization extends to so-called non-extensional contexts like those involving attitudes and modalities. I argue that EG must apply to all contexts, since the rule essentially serves to make explicit ontological commitments already implicit in the premise. Nor do non-extensional contexts cripple the rule of substitution of identicals. The law is universally valid, but its substituends must be chosen more carefully. This talk presents an extensional logic of hyperintensions that validates quantifying into hyperintensional contexts and quantifying over hyperintensions and intensions (functions from possible worlds), though not always also over extensions, due to non-factive attitudes. The talk also explains how to obtain universal transparency, i.e. a context-invariant theory of meaning and reference, by universalizing Frege’s semantics for oblique contexts. The background theory is Transparent Intensional Logic, formally a hyperintensional, partial, typed λ-calculus. TIL conceptualizes hyperintensions as structured procedures detailing how to produce an extension or intension, or even another hyperintension. My focus will be on hyperintensional attitudes, i.e. those whose complements are individuated finer than up to logical equivalence. The talk summarizes the latest results on the details of the logic of quantifying-in.
    59 min

About MCMP – Logic

From the publisher's feed

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.

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