The quartet spaces of G. 't Hooft

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Abstract

In 1964, G. ’t Hooft postulated three axioms, and proved that every nonempty finite model of them has elements. This note confirms this by showing that every nonempty model can be made into a vector space over the field with four elements. For every pair of different elements and , the quartet of and is the affine line through and in this vector space.
Original languageEnglish
Pages (from-to)628-632
Number of pages4
JournalIndagationes mathematicae-New series
Volume29
Issue number2
DOIs
Publication statusPublished - Apr-2018

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