1. Preambule: Appelschillen en Kanonskogels - Universiteit Utrecht
1. Preambule: Appelschillen en Kanonskogels - Universiteit Utrecht
1. Preambule: Appelschillen en Kanonskogels - Universiteit Utrecht
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Title<br />
Kant and Choice, Antinomy and Axiom.<br />
A Philosophical Reflection on the Banach-Tarski Paradox<br />
Summary<br />
We provide an account of the ontog<strong>en</strong>esis of the Banach-Tarski Paradox within Kant’s view on<br />
metaphysics, rather than within his view on mathematics, wh<strong>en</strong> the Axiom of Choice in settheory<br />
is se<strong>en</strong> as a fifth antinomy. The key insight is that the Axiom of Choice (as well as its<br />
negation) wh<strong>en</strong> applied to infinite sets transc<strong>en</strong>ds all possible experi<strong>en</strong>ce.<br />
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