Remarks on the controversy about the foundations of logic and mathematics
The central problem in the theory of a science lies in clearly grasping the sense of the relevant propositions. This process includes: (1) determining the object of the science, for a science consists of statements (judgments) and we cannot grasp a statement if we do not know what it is about; (2) determining the procedure (method) of the science, for we cannot understand a statement if we do not know what it asserts of its object. To observe this, however, amounts to determining what criteria there are for its truth or falsehood, and testing the relevant assumptions in terms of relevant criteria is precisely the procedure (method) of the science.
Kaufmann, F. (1978). Remarks on the controversy about the foundations of logic and mathematics, in The infinite in mathematics, Dordrecht, Springer, pp. 165-187.
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