The Philosophy of Impossible Figures; inconsistent mathematics and paraconsistent logic.
25 May, 2016
Multimedia Lounge, Lvl 0, Hub, beneath stairs near Hub entrance)
Flinders University Philosophy Club
Impossible figures present paradoxes to be grasped. A large number of visual paradoxes have been constructed, particularly in the twentieth century, starting with the great Oscar Reutersvaard in1934. Our next guest speaker, Professor Chris Mortensen, will present the Impossible Figures of Oscar Reutersvaard, which feature different classes of geometrical paradoxes to be described, with different kinds of contradictions.
Impossible figures depict something logically, mathematically, or geometrically impossible. Geometrical paradoxes all involve a clash between the local and the global. Locally we see that each point is further away than the next. In any local part, the diagram is consistent. But on the other hand, the diagram as a global gestalt is impossible.
The impossibility of these impossible figures is not physical in the same way that a man in a cape flying unaided around the world is impossible. This kind of impossibility is inadequate to capture the real strangeness of the impossible figures that will be presented.
Professor Chris Mortensen has sought to construct a mathematical treatment for Impossible Figures using inconsistent mathematics and paraconsistent logic. He has also researched the connections Impossible Figures have with cognitive science, particularly the brain’s capacity to represent in an inconsistent fashion.
Chris Mortensen is an Emeritus Professor at the University of Adelaide. His research interests include inconsistent mathematics (including inconsistent figures http://inconsistent-images.blogspot.com.au/p/inconsistent-images_01.html), relevant and modal logics, philosophy of logic, philosophy of mathematics, philosophy of physics, cognitive science, and metaphysics.
Please join us in the new Hub Multimedia Lounge at 3pm on the 25th of May 2016.
The Multimedia lounge is Level 0, Hub, tucked under the stairs near the Hub entrance. Be there, or be a geometrically paradoxical figure!
Annette 0403 779 644