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- W2986336879 abstract "BARKER has recently argued that it is possible to interpret the axioms of Euclidean geometry in such a way that they become a priori truths about space.' I do not believe that he has succeeded. The axioms of Euclidean geometry contain certain primitive nonlogical terms. Applying the usual rules of deductive logic one obtains a set of theorems from these axioms. Among these theorems is the theorem that the sum of the angles of a triangle equals 180 degrees. Neither these theorems nor the axioms are a sentence until the axioms are interpreted. We have only sentence schemata, or the forms of sentences, until the primitive nonlogical terms are assigned semantical rules. Only when this is done can one speak of the truth or falsity of the axioms. Barker argues as follows. Suppose that 'straight line' is among the primi49" @default.
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- W2986336879 date "2016-01-01" @default.
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- W2986336879 title "Barker on Geometry as A Priori" @default.
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