Go to the related Course WI-FI-BASTI-ER
The course – given partly in distance learning modality (7 units), and partly in onsite modality (8 units) – is conceived as a formal counterpart of the other one “From Modern Transcendental of Knowing to the Post-Modern Transcendental of Language”. It aims at offering to graduate students both of philosophical and scientific – mainly of physics, mathematics, and computer science – departments, a philosophical interpretation of the “paradigm shift” we are living both in fundamental physics, and in theoretical computer science. This shift leaded the scientific community to awarding the Nobel Prizes in Physics to the Authors of momentous discoveries in these two related realms, respectively in 2015 and in 2016. These changes, however, concern - and in many senses, primarily - the mathematical and the logical basis of the topological (operator algebra) modeling of quantum physics, and of quantum computing, as far as interpreted in the framework of Category Theory (CT).
Course Modules and Online Contents
The Course consists of 15 Units, plus an Introductory Unit.
Each Unit corresponds generally to 2 Classes, apart from the Introductory Unit (Unit 0) of 1 only Class.
The Introductory Unit and the first seven Units of the course will be given in e-learning modality (with some quizzes to improve your self-learning). The other eight Units will be given in at-place modality in Warsaw, during the second half of the month of December 2017.
For downloading the Course Syllabus, please click on the following link.
For accessing the Online Contents of each Unit, as far as put online, please click on the Unit Title in the Table below. As far as the contents are made available online the link becomes active. In the case of e-learning contents, by clicking on the active link, the contents will be automatically available in streaming, through an automatic and interactive viewer. In the case of at-place classes, by clicking on the active link, a pdf file of the powerpoint slides will be available on your computer.
However, for avoiding connection problems in accessing by streaming the e-learning contents, you can also download the zip archive file with all the contents of each Unit. For this, create on your pc/mac a directory for each Unit, download in it the downloaded zip archive of the Unit, and unzip inside it all the files in the zipped archive. Then, click on the viewer.swf file to start the automatic viewer to access the class contents.
FOR VIEWING THE ONLINE CLASSES IT IS NECESSARY TO INSTALL EITHER ON PC OR ON MAC THE FLASHPLAYER VIEWER. CONSIDER THAT IF YOU USE WINDOWS 10 THE FLASHPLAYER IS INCORPORATED IN THE INTERNET EXPLORER BROWSER OR IN THE EDGE BROWSER.
In this version, the online classes are not visible on mobile devices pads/smartphones.
Finally to access the other contents of the IRAFS (International Research Area on Foundations of the Sciences) portal in which this course is stored, click the following link: www.irafs.org. This page is accessible from the COURSES tab.
All the instructions for using the e-learning platform are available in a video tutorial, accessible by this link.
Table of Course Units Units Topics Zip CONTENTS IN E-LEARNING MODALITY 0 Introduction and Course Overview (with instructions for accessing the online contents) 1 Premise: the actual paradigm shift in fundamental (quantum physics) and in theoretical computer science 2 Some elements of the classical Von Neumann formalization of quantum mechanics (QM) 3 The commutative Hopf algebra and coalgebra (Hopf bialgebra) in the standard formalism of QM 4 Some elements of the GNS-construction, and the passage to a topological modeling of quantum field theory (QFT) 5 Topological models of quantum thermodynamics and of quantum computing in the framework of statistical mechanics SLIDES FOR AT-PLACE CLASSES 6 The III Principle of Thermodynamics and the notion of quantum vacuum (QV): the thermal QFT of dissipative systems 7 The irreducible quantum vacuum (QV) fluctuations and the coalgebraic modeling of a thermal QFT system 8 Some elements of Category Theory (CT), and the notion of categorical dual equivalence in mathematics and logic 9 The Stone theorem and the coalgebraic semantics of Boolean algebras: its relevance in logic and computer science 10 The doubling of the Hilbert space and the categorical duality between q-deformed Hopf coalgebras/algebras 11 The QV foliation in thermal QFT and in quantum computing: the "Infinite State Black-Box Machine" construction 12 Application to cognitive neuroscience. The "dissipative brain": quantum entanglement and intentional consciousness 13 A taxonomy of the different formal ontologies, and the semiotic naturalism in cosmology and metaphysics 14 A quantum inspired dual ontology of the human person as a conscious communication agent, and the neuroethics 15 Conclusions