The anecdotes Berger recounted in the thirty-minute monologue are adaptations of well-known paradoxes: Zeno's paradoxes
of motion and Bertrand Russell's paradox of set theory, which concerns the impossibility of a set's containing itself--hence the exhibition's title, "Not to Belong to Themselves." Berger's monologue, scripted by Garcia Torres together with the comedian and producer Eduardo Donjuan, transplants these intellectual games into everyday life, where they produce absurd situations.
As Huemer puts it, "How can it be that, by making the prudent choice every time, you wind up with the worst possible outcome?" Huemer also considers the more familiar paradoxes of the infinite, like Zeno's paradoxes
, Hilbert's hotel, and Thomson's lamp.
Among the topics are Aristotle on Zeno's paradoxes
, Kant on the transcendental schema and number, Wittgenstein from Remarks on the Foundations of Mathematics, Benacerraf's "What Numbers Could Not Be," and Heck's "Frege's Theorem: An Introduction." ([umlaut] Ringgold, Inc., Portland, OR)
For example, the conversation about Zeno's paradoxes
(http://isabellekoff2018.wix.com/zenospradoxes) continued for almost 30 minutes as the children struggled to reconcile their everyday experience with the logic of those statements.
Examples include the liar paradox, Zeno's paradoxes
, the travelling salesman problem, Turing's halting problem, Godel's incompleteness theorem, and Schrodinger's cat.
It is a mostly non-technical reference and includes favorites like Zeno's paradoxes
, quantum mechanical paradoxes, liars paradox, and the chicken or the egg.
If you want to know why such logic is often inappropriate to the world in which we live, Google Zeno's paradoxes
and see what you get.
irrupted in the reigning everyday logic of causality in the fifth century BC perhaps as much as Albert Einstein's theories in his own time.
(6) "Avatars of the Tortoise" is another of Borges's efforts, after such earlier essays as "The Perpetual Race of Achilles and the Tortoise" (1929), to grapple with the difficulties of Zeno's paradoxes
of motion; but, more importantly for our purposes, Borges's relates them there to Aristotle's well-known argument concerning the "third man." This was an attempt by Aristotle to refute Plato's doctrine of forms, insofar as Aristotle contends that a kind of infinite regress is implied in the attribution of the same form or archetype to a number of different instances.
Bradley, while making no explicit mention of Zeno, uses thoroughly Eleatic arguments to support the conclusions that space and rime, motion and change are Unreal" (Zeno's Paradoxes
[Cambridge: Hackett, 2001], p.
Along the way he finds possible solutions for such awkward elements of current models as Zeno's paradoxes
of motion and current discrepancies between quantum mechanics and relativity.
Did the pinnacle-like bread loaves in Marcel's home, consecrated by their resemblance to the Combray steeple, provoke Voegelin's remembrance of the Rhineland's conical bread loaves (14), whose uneven slices inspired his later interest in Zeno's paradoxes
, which are in turn an argument for Bergson's dynamic theory of movement?