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Kant defended himself by a more precise formulation of his doctrine in the Prolegomena (1783) and further by the insertion of a "Refutation of Idealism", specifically "material idealism", into the Transcendental Analytic in the second edition of the Critique (1787).
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An important case in point is the very case of arithmetic that motivated much of the discussion of the analytic in the first place.
On this point, see especially the "Amphiboly of the Pure Concepts of Reflection," which serves as an Appendix to the Transcendental Analytic in the first Critique A260-92/B316-49.
By contrast, the name of Hume does not appear in either the Introduction or the Transcendental Analytic in the first (A) edition (1781): it appears only in the Transcendental Doctrine of Method at the very end of the book, in a discussion of "skepticism" versus "dogmatism" in metaphysics (where Hume's skepticism about causation, in particular, is finally explicitly discussed).
We will spell out some of these details later as we discuss analytic feminists' defense of analytic philosophy in the sixth section, on analytic feminists' responses to critiques.
Russell's logical atomism had a profound influence on analytic philosophy in the first half of the 20th century; indeed, it is arguable that the very name "analytic philosophy" derives from Russell's defense of the method of analysis.
The epistemological interests of analytic philosophers in the first half of the 20th century were largely focused on the relationship between knowledge and perception.
The creation of analytic geometry in the seventeenth century introduced a more reductive form of analysis, and an analogous and even more powerful form was introduced around the turn of the twentieth century in the logical work of Frege and Russell.
Despite the genome-wide significant results in this study, the findings need further replication given the small sample sizes and analytic approach in the first stage, which used unrelated controls versus AD patients from the families.
The association between adiponectin and mortality in this smaller sample was similar to the larger analytic sample: subjects in the fourth adiponectin quartile had an increased hazard of death compared with those in the first quartile (fully adjusted HR = 3.4 [95% CI: 1.4 8.3]).
In the second analytic cycle, the descriptive categories were used to identify patterns.
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