creators_name: Leon, Antonio type: preprint datestamp: 2006-08-11 lastmod: 2011-03-11 08:56:34 metadata_visibility: show title: Hilbert's machine and the Axiom of Infinity subjects: phil-logic subjects: phil-sci full_text_status: public keywords: Axiom of Infinity, w-order, supertask, Hilbert's Hotel abstract: Hilbert's machine is a supertask machine inspired by Hilbert's Hotel whose functioning leads to a contradiction that compromises the Axiom of Infinity. date: 2006-08 date_type: published refereed: FALSE citation: Leon, Antonio (2006) Hilbert's machine and the Axiom of Infinity. [Preprint] document_url: http://cogprints.org/5062/1/HilbertMachine.pdf