Le contenu de cette page n’est pas disponible en français. Veuillez nous en excuser.

New Directions in Categorical Logic for Classical, Probabilistic and Quantum Physics

Playing this video requires the latest flash player from Adobe.

Download link (right click and 'save-as') for playing in VLC or other f4v compatible player.

Download Video

Recording Details

Scientific Areas: 
PIRSA Number: 


I will
give an idea of what category theory is and how it can be successfully applied in mathematics and the mathematical sciences by means of example. The example is a notion from mathematical logic formalizing the intuitive concept of "property". The new category-theoretical
definition of this notion can physically be interpreted as a measurement. Unraveling this definition in particular categories can be regarded as defining the concept of "property" in different context, e.g. in classical, probabilistic
and quantum physics, and in each case this recovers familiar things.
Up to some differences in the technical details, all of this is work of Bart Jacobs. (See arXiv:1205.3940)