By Karl Aschenbrenner
Offers touch upon the 1st of the 3 fundamental sections of Kant's Critique; the analytical, the dialectical, and the methodological. The analytical part runs from Kant's advent to just about the tip of the Analytic of ideas, and is worried with the character, foundations, and the bounds of empirical wisdom.
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Extra resources for A Companion to Kant's ''Critique of Pure Reason''
This should enable us to learn whether metaphysics as science is possible. In this way we can answer the basic questions that must be addressed to pure reason, regarding mathematics, science, and metaphysics. Since this is an investigation of something entirely within our grasp, the powers of the human mind, and not of a subject matter that stretches on through inaccessible reaches of time and space, we can hope to complete the investigation, definitively. But we shall succeed only if we keep our eye on the question how, whether, and in what domains pure reason can hope to extend its knowledge materially.
It is interesting to speculate on the analogy which Kant no doubt has in mind between the subsequent metaphysical deduction of the categories and the present metaphysical expositions of space and time, but we shall not pursue the matter further. " The term "concept" (Begriff) is only to be understood with qualifications. In the body of the four arguments about space, and this is re-affirmed later, we learn that our notion of space is precisely not a concept; 'space,' is not a class name. Space is in fact a kind of "individual" or "particular" for there is only one space (and one time).
It is now said that the concept of the sum of 7 and 5 contains nothing more than the combination (or rather the combining) of the two numbers but that it does not contain what issues from the process of combining, that is, 12. The term Vereinigung (unification, combination) is just as tolerant of being interpreted as an act in process as it is as the product of an a ct completed. The English term 'combination' on the 15 other hand leans heavily in the second direction. He may therefore be saying that we must not identify the act of combining 7 and 5 with the result of the act, 12.