The approximations of geometrical and Fourier optics are considered from the viewpoint of constructing logic as an algebraic model. It is shown that the methods of geometrical optics make it possible to implement multivalued logic, while Fourier optics provides both multivalued and fuzzy-valued logics. A physically based implication operator is defined that can be implemented by means of Fourier holography. It is shown that it is possible to implement logico-linguistic models. An experimental illustration is presented for the generalized logical modus ponens conclusion for fuzzy-valued logic.
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