The quartet spaces of G. 't Hooft

Wim H.  Hesselink

doi:10.1016/j.indag.2017.11.001

The quartet spaces of G. 't Hooft

Wim H. Hesselink

Fundamental Computing

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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 language	English
Pages (from-to)	628-632
Number of pages	4
Journal	Indagationes mathematicae-New series
Volume	29
Issue number	2
DOIs	https://doi.org/10.1016/j.indag.2017.11.001
Publication status	Published - Apr-2018

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abstract = "In 1964, G. {\textquoteright}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.",

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The quartet spaces of G. 't Hooft

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