I defend Kant’s definition of analyticity in terms of concept “containment”, which has engendered widespread scepticism. Kant deployed a clear, technical notion of containment based on ideas standard within traditional logic, notably genus/species hierarchies formed via logical division. Kant’s analytic/synthetic distinction thereby undermines the logico-metaphysical system of Christian Wolff, showing that the Wolffian paradigm lacks the expressive power even to represent essential knowledge, including elementary mathematics, and so cannot provide an adequate system of philosophy. The results clarify the extent to (...) which analyticity sensu Kant can illuminate the problem of a priori knowledge generally. (shrink)

Officially, for Kant, judgments are analytic iff the predicate is "contained in" the subject. I defend the containment definition against the common charge of obscurity, and argue that arithmetic cannot be analytic, in the resulting sense. My account deploys two traditional logical notions: logical division and concept hierarchies. Division separates a genus concept into exclusive, exhaustive species. Repeated divisions generate a hierarchy, in which lower species are derived from their genus, by adding differentia(e). Hierarchies afford a straightforward sense of containment: (...) genera are contained in the species formed from them. Kant's thesis then amounts to the claim that no concept hierarchy conforming to division rules can express truths like '7+5=12.' Kant is correct. Operation concepts ( ) bear two relations to number concepts: and are inputs, is output. To capture both relations, hierarchies must posit overlaps between concepts that violate the exclusion rule. Thus, such truths are synthetic. (shrink)

I investigate the consequences of Nietzsche's perspectivism for notions of truth and objectivity, and show how the metaphor of visual perspective motivates an epistemology that avoids self-referential difficulties. Perspectivism's claim that every view is only one view, applied to itself, is often supposed to preclude the perspectivist's ability to offer reasons for her epistemology. Nietzsche's arguments for perspectivism depend on “internal reasons”, which have force not only in their own perspective, but also within the standards of alternative perspectives. Internal reasons (...) allow a perspectivist argument against dogmatism without presupposing aperspectival criteria for theory choice. Nietzsche also offers “internal” conceptions of truth and objectivity which reduce them to a matter of meeting our epistemic standards. This view has pluralistic implications, which conflict with common sense, but it is nevertheless consistent and plausible. Nietzsche's position is similar to Putnam's recent internalism, and this is due to their common Kantian heritage. (shrink)

Lucy Allais’s Manifest Reality offers an attractive new interpretation of Kant’s transcendental idealism. Kantian appearances are known through essentially manifest properties, but those properties are construed as belonging ultimately to things in themselves with intrinsic natures. This position can offer a nice account of the sense in which appearances and things in themselves are identical and a metaphysically plausible way to construe appearances as strictly partially mind-dependent. The position is less convincing when it comes to explaining the sense in which (...) appearances and things in themselves remain non-identical. I argue that such a non-identity thesis was in fact crucial to Kant’s use of idealism to explain the possibility of synthetic a priori knowledge, to his account of the apriority of the representation of space, and to his anti-Leibnizian point that our mathematical and scientific cognition provides not confused representation of underlying things in themselves, but perfectly exact and strictly true cognition of something else. In closing, I suggest that the hylomorphic nature of Kant’s idealism points toward an alternative conception of the partial mind-dependence of appearances. (shrink)

Martin offers an intriguing account of nineteenth century challenges to the traditional theory of judgment as a synthesis of subject and predicate (the synthesis theory)--criticisms motivated largely by the problem posed by existential judgments, which need not have two terms at all. Such judgments led to a theory of "thetic" judgments, whose essential feature is to "posit" something, rather than to combine terms (as in synthetic judgment). I argue, however, that Kant's official definition of judgment already implicitly recognizes the importance (...) of positing, and that its (otherwise confusing) abstract generality actually affords Kant's own logic an adequate way to accommodate existential judgments within the traditional synthesis theory. Preservation of a synthetic account of judgment is also found to be independently important for Kant's larger aims in the theory of cognition. (shrink)

(2005). Nietzsche's will to Power as a Doctrine of the Unity of Science. Angelaki: Vol. 10, continental philosophy and the sciences the german traditionissue editor: damian veal, pp. 77-93.

Nietzsche's perspectivism claims that every view is only one view. This claim raises serious self-referential difficulties: if Nietzsche's view is not to refute itself, then any argument offered on its behalf must be merely perspectival, but no such reasons would be convincing to Nietzsche's dogmatic opponents. This dissertation takes a historical approach, arguing that Nietzsche's perspectivism is a development and transformation of Kant's transcendental idealism. Our perspectival notions, like the Kantian categories, are conceptual resources that we bring to experience to (...) organize it. Nietzsche does not accept Kant's transcendental interpretation of our conceptual scheme, however. He offers arguments against the claims to necessary knowledge on which Kant's transcendental approach is based, and also against the coherence of the notion of the thing in itself, which Kant shares with traditional metaphysical realism. These arguments have the force of "internal reasons" against Kant and the realist; they are given from within Nietzsche's own perspective, but they appeal to cognitive standards which Nietzsche shares in common with his dogmatic opponents. They therefore count as reasons in favor of perspectivism, even within the terms of the alternative perspectives, despite the fact that they make no claim to universal, aperspectival validity. Nietzsche can thereby avoid the self-referential difficulties facing his argument. This interpretation also allows Nietzsche to develop "theory-internal" conceptions of truth and objectivity. These conceptions are found to provide a better account of our cognitive practices than the traditional, externalist alternatives. (shrink)

In Nietzsche, Psychology, and First Philosophy, Robert Pippin suggests intriguing connections between Nietzsche and the traditional French moralistes, especially Montaigne, Pascal, and La Rochefoucauld. 1 But the point of placing Nietzsche in this company is philosophical, not historical. In contrast to the wide-ranging and detailed historical analyses that have found their place in Pippin’s ongoing history of modernism (Modernism as a Philosophical Problem; Idealism as Modernism: Hegelian Variations), the present book does not focus on repairing our awareness of the French (...) tradition or on philologically tracing Nietzsche’s interesting references to it. Instead, Pippin’s fanciful treatment of Nietzsche himself as .. (shrink)

Officially, for Kant, judgments are analytic iff the predicate is “contained in” the subject. I defend the containment definition against the common charge of obscurity, and argue that arithmetic cannot be analytic, in the resulting sense. My account deploys two traditional logical notions: logical division and concept hierarchies. Division separates a genus concept into exclusive, exhaustive species. Repeated divisions generate a hierarchy, in which lower species are derived from their genus, by adding differentia. Hierarchies afford a straightforward sense of containment: (...) genera are contained in the species formed from them. Kant’s thesis then amounts to the claim that no concept hierarchy conforming to division rules can express truths like ‘7+5= 12.’ Kant is correct. Operation concepts bear two relations to number concepts: and are inputs, is output. To capture both relations, hierarchies must posit overlaps between concepts that violate the exclusion rule. Thus, such truths are synthetic. (shrink)

R. Lanier Anderson presents a new account of Kant's distinction between analytic and synthetic judgments, and provides it with a clear basis within traditional logic. He reconstructs compelling claims about the syntheticity of elementary mathematics, and re-animates Kant's arguments against traditional metaphysics in the Critique of Pure Reason.