Three types of logical form
DOI:
https://doi.org/10.15448/1984-6746.2017.3.27292Keywords:
color incompatibility, discrete infinity, logical form, mental representation, natural logic, semantic holismAbstract
In generative linguistics, various formal properties of representational systems are distinguished: discrete infinity, discrete finitude, continuum infinity. Philosophers do not often apply these distinctions to the study of logical form. The fact that the distinctions are rarely applied has resulted in philosophers assuming, usually without argument, that all logical forms exhibit discrete infinity, as does natural language. (One noteworthy exception is Ludwig Wittgenstein, circa 1930.) This article argues for the existence of other types of logical form in addition to that which exhibits discrete infinity. In mental representation, one finds forms exhibiting continuum infinity and discrete finitude, in addition to discrete infinity. Furthermore, these representations stand in logical relations to one another, partly in virtue of these forms. This is equivalent to the claim that the study of natural logic must go beyond the language faculty, extending to logical forms pertaining to mental representations which are not sentence-like. This would include pictorial logical forms. The ultimate point is that, in the study of natural logic, one must also consider logical forms represented by mental systems predating the evolution of language.Downloads
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