Events  Parmenides Lecture Series

 
 

Parmenides Center for the Study of Thinking


July 11, 2014, 16.00 - 18.00, room M210, main building Ludwig-Maximilians-University, Munich

Please note that Stephan Bayerl's talk had to be cancelled due to illness. Albrecht von Müller will give a talk in Dr. Bayerl's absence. The topic will be announced briefly before the lecture.

 
 

Parmenides Center for the Study of Thinking


May 23, 2014, 16.00 - 18.00, room M210, main building Ludwig-Maximilians-University, Munich

Thomas Filk
apl. Prof. Dr., Institute for Physics, Albert-Ludwigs-University Freiburg

The Constellatory Structures of Fundamental Concepts in Science

I will argue that in scientific fields (and to a certain degree also in mathe- matics), where one cannot define the fundamental concepts by reference to an even more fundamental level, the definitions of these fundamental concepts are often “constellatory” in the sense that they constitute a network of mu- tual references and/or relations. It is the consistency of these networks which makes the definitions non-trivial. I will discuss several examples from math- ematics and physics (one of them even relevant in the context of a current dispute about how to teach physics in schools).

For more information about Prof. Filk please click here.

 
 

Parmenides Center for the Study of Thinking


February 7, 16.00 - 18.00, Ludwig-Maximilians-University, Munich, main building room M210

Domenico Giulini
Prof. Dr., Institute of Theoretical Physics, Leibniz University Hannover

Zeit ist, was man auf der Uhr abliest! Aber was ist eine Uhr?

Modernste Atomuhren messen "die Zeit" mit einer anschaulich kaum noch nachvollziehbaren Genauigkeit. Zu verdanken ist dies einem unvermindert anhaltenden technologischen Fortschritt in der Konstruktion dieser "Uhren", der sich wesentlich auf Konzepte der Quantenphysik und der Relativitätstheorie stützt. Im seltsamen Kontrast zur glaubhaft versicherten Messgenauigkeit steht aber die durchaus heikle Frage nach dem ontologischen Status des dabei Vermessenen ("die Zeit"). In meinem Vortrag werde ich versuchen, diesen Punkt anhand einiger Episoden aus der Physik zu beleuchten, frei nach Einsteins Diktum:"Wenn ihr von den Physikern etwas lernen wollt, höret nicht auf ihre Worte, sondern haltet Euch an ihre Taten!" Dabei wird insbesondere auch der Aspekt der Selbstreferenzialität zur Sprache kommen, der sich durch die wechselseitige Abhängigkeit der Begriffe von "Zeit" und "Uhr" ergibt.

For more information about Prof. Giulini please click here.

 
 

Parmenides Center for the Study of Thinking


January 24, 14.00 - 16.00, Ludwig-Maximilians-University, Munich, main building room M210

Ulrich Blau
Prof. em. Dr., seminary for philosophy, logic and philosophy of science, Ludwig-Maximilian-University Munich

Raum, Zeit, Zenon und wir selbst.

Continuation of the lecture cycle begun on November 17, 2013 (see below).

 
 

Parmenides Center for the Study of Thinking


December 13, 14.00 - 16.00, Ludwig-Maximilians-University, Munich, main building room M210

Ulrich Blau
Prof. em. Dr., seminary for philosophy, logic and philosophy of science, Ludwig-Maximilian-University Munich

Raum, Zeit, Zenon und wir selbst.

Continuation of the first lecture on November 17, 2013 (see below).

 
 

Parmenides Center for the Study of Thinking


November 21, 17.00 - 19.00, Ludwig-Maximilians-University, Munich, main building room M210

Ulrich Blau
Prof. em. Dr., seminary for philosophy, logic and philosophy of science, Ludwig-Maximilian-University Munich

Raum, Zeit, Zenon und wir selbst.

Wie entsteht die kategoriale Trennung-und- Verbindung zwischen raumzeitlicher Physik / zeitloser Geometrie / raumzeitloser Arithmetik in, mit, durch uns selbst? Drei antike Grundparadoxien: der Lügner, Zenons Läufer und die Subjekt/Objekt-Spaltung haben mich zu einer allgemeinen linearen Arithmetik LA* gezwungen, die seit Cantor überfällig war und drei Fordrungen erfüllt:

1. Die reelle, ordinale und kardinale Standardarithmetik sollen konservativ integriert, grenzenlos erweiter und verfeinert werden.

2. Der positive Zahlbereich soll sich im negativen Bereich am additiven Drehpunkt 0 spiegeln.

3. Das Infinite soll sich im Infinitesimalen an den multiplikativen Drehpunkten 1 und -1 spiegeln.

 
 

Parmenides Center for the Study of Thinking


October 24, 16.00 - 18.00, Ludwig-Maximilians-University, Munich, main building room M210

Elias Zafiris
Center for Philosophy and the Natural Sciences, California State University, Sacramento.

"A Category Theoretical Approach to Quantum Physics"

One of the deepest insights of quantum theory is that although the totality of all experimental/empirical facts can only be represented globally as a non-Boolean event structure, the acquisition of every single fact depends on a local Boolean frame. This is tied with the particular formalization of the notion of an observable in quantum theory, namely a self-adjoint operator. More precisely, each self-adjoint operator has associated with it a Boolean frame which is identifed with the complete Boolean algebra of projection operators belonging to its spectral decomposition. In this way, complete Boolean algebras of projection operators can be considered as local Boolean logical frames for the individuation of events. We claim that the current set-theoretic models of quantum event structures underscore the functional role of interconnected families of local Boolean frames in the global formation of quantum structures. We propose to remedy this deficiency in terms of a local-to-global category-theoretic model, where the global information of a quantum algebra can be topologically localized to covering systems of local Boolean frames, and inversely induced by them via gluing. We discuss the application of this relational topological scheme to quantum non-separability.

Elias' research interests include:
·        Quantum and Gravitational Physics
·        Quantum Gravity
·        Topos Theory - Sheaf Theory
·        Modern Differential Geometry
·        Algebraic Complex Systems

You can find a detailed research statement here.

Selected Publications:

Quantum Event Structures from the Perspective of Grothendieck Topoi, Foundations of Physics 34 (7), (2004) - pdf

Boolean Coverings of Quantum Observable Structure: A Setting for an Abstract Differential Geomatric Mechanism, Journal of Geometry and Physics 50, 99 (2004) - pdf

Complex Systems from the Perspective of Category Theory: I. Functioning of the Adjunction Concept , Axiomathes 15 (1), (2005) - pdf

Complex Systems from the Perspective of Category Theory: II. Covering Systems and Sheaves , Axiomathes 15 (2), (2005) - pdf

Generalized Topological Covering Systems on Quantum Events' Structures , Journal of Physics A: Mathematical and General 39, (2006) - pdf

Sheaf-Theoretic Representation of Quantum Measure Algebras , Journal of Mathematical Physics 47, (2006) - pdf

Category-Theoretic Analysis of the Notion of Complementarity for Quantum Systems, International Journal of General Systems 35 (1) (2006) - pdf

Topos-Theoretic Classification of Quantum Events Structures In Terms of Boolean Reference Frames, International Journal of Geometric Methods in Modern Physics 3, (8) (2006) - pdf

Quantum Observables Algebras and Abstract Differential Geometry: The Topos-Theoretic Dynamics of Diagrams of Commutative Algebraic Localizations , International Journal of Theoretical Physics 46 (2), (2007) - pdf

Topos-Theoretic Relativization of Physical Representability and Quantum Gravity , gr-qc/0610113, (2007) - pdf

A Sheaf-Theoretic Topos Model of the Physical Continuum and its Cohomological Observable Dynamics , International Journal of General Systems 38 (1), (2009) - pdf

Boolean Information Sieves: A Local-to-Global Approach to Quantum Information , International Journal of General Systems 39 (8), (2010) - pdf

The Homological Kahler-De Rham Differential Mechanism: I. Application in General Theory of Relativity , Advances in Mathematical Physics, doi:10.1155/2011/191083, (2011) - pdf

The Homological Kahler-De Rham Differential Mechanism: II. Sheaf-Theoretic Localization of Quantum Dynamics , Advances in Mathematical Physics, doi:10.1155/2011/189801, (2011) - pdf