Course WI-FI-Basti2


Towards a Contemporary Ontology.

The New Dual Paradigm in Natural Sciences: Part II


Short Description

This course constitutes the formal logical-ontological counterpart of the WF-Fl-BASTI1 course, representing the physical part of the present one, being the (coalgebraic) modal formalism underlying both perspectives, the strong theoretical link connecting the two parts, into one coherent framework. The course aims at presenting a first formalization of the natural realism (NR), as the formal ontology of the evolutionary cosmology based on QFT. Following Quine’s remark that a theory of metaphysical deduction must include information about the ontic relations connecting the entities to which the asserts posed in direct implication relation are referring, NR follows Aquinas’ suggestion that this relation connecting entities is the converse implication of the formal causality. We offer, firstly, a formalization of NR in terms of a nested KD45 modal logic, as ontology of the generation of ever more complex physical systems. However, coalgebra is the proper, complete, meta-language of modal logics, so the metaphysical double implication can have its proper formalization, in terms of Aquinas’¬† “duality” (homomorphism), between the logical truth (algebra) and the ontological truth (coalgebra). Hence, NR is also a formalization of Aquinas metaphysics of participation of being.

Course Modules and Online Contents

The Course consists of 9 Modules, subdivided into 4 Sections, for a total of 30 Classes.

Each Module corresponds generally to 4 Classes, apart from the first one (Module 0) and the last one (Module 8), each of 1 only Class.

The first two Sections of the course will be given in e-learning modality (with quizzes at the end of each module to improve your self-learning); the last two Sections will be given in at-place modality in Warsaw, during the second half of the month of January 2014.

For downloading the Course Syllabus, please click on the following link.

For accessing the Online Contents of each Module, as far as put online, please click on the Module Title in the Table below.

For avoiding connection problems in viewing slides, you can download the zip file with all the contents of each module. Create ON on your pc/mac a directory for each class of each module, download in it the zip archive of the class, and unzip inside it all the files in the zipped archive. Then click on the viewer.swf file to start the viewer of 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.

 
Table of WI-FI-Basti2 Course Modules
Modules Topics Zip
  SECTION ONE  
0 Introduction and Course Overview
1 QFT: an evolutionary interpretation of nature from cosmology to neuroscience  
  Module 1 Class 1: QFT. A Paradigm Change
  Module 1 Class2: From QM to QFT in Fundamental Physics
  Module 1 Class 3: QFT Interpretation of Complex Systems
  Module 1 Class 4: QFT application in Cognitive Neurosciences
  Module 1 Tests
2 QFT in fundamental physics and the Aristotelian-Thomistic ontology of nature  
  Module 2 Class 1: The Aristotelian theory of the four causes (pdf)  
  Module 2 Class 2: Aquinas' metaphysical development of the Aristotelian ontology (pdf)  
  SECTION TWO  
3 Formal philosophy and formal ontology  
  Module 3: Formal philosophy and formal ontology (pdf)  
4 The formal ontology of the conceptual natural realism (CNR)  
  Module 4: The formal ontology of the conceptual natural realism (CNR) (pdf)  
  SECTION THREE  
5 The formal ontology of the natural realism (NR)  
  Module 5: The formal ontology of the natural realism (NR) (pdf)  
6 The duality algebras/coalgebras¬† in category theory (CT)  
 

The formal ontology of the natural realism (NR) II: Aczel sets and coalgebraic modal logic

 
  SECTION FOUR  
7 “Modal logics are coalgebraic”: an application to NR and to the duality logical/ontological truth  
     
8 Conclusions