The Table of Judgments: Critique of Pure Reason A 67-76; B 92-101.
Lee, Seung Kee
BRANDT, Reinhard. The Table of Judgments: Critique of Pure Reason A
6776; B 92-101. Translated and edited by Eric Watkins. North American Kant Society Studies in Philosophy, vol. 4. Atascadero, CA: Ridgeview
Publishing Company, 1995. vii + 147 pp. n.p.--In this book, Brandt
presents an interpretation of a fairly short but famous and important
passage in the Critique of Pure Reason wherein Kant introduces "the
table of judgments." Kant argues that the categories ("pure
concepts of the understanding") can be derived from the table of
the forms of judgment which presumably corresponds (with only minor
divergences) to the division of judgments commonly studied by formal
logicians (A 70).
Not a few commentators have questioned, however, the validity Of
what Kant calls the metaphysical deduction of the categories. While many
have judged the link between the table of judgments and the list of
categories as artificial (Kant says they are in "complete
agreement" [B 159]), such notable readers as Hegel and Heidegger
(among others) have raised doubts about the alleged a priori unity and
completeness of the table itself (A 66-7). Such criticisms have prompted
various interpretations of Kant's table. Generally speaking, recent
interpretations embrace either of two positions: while some deem it as
incapable of proof, others (like Klans Reich, whose The Completeness of
Kant's Table of Judgments [Stanford: Stanford University Press,
1992, originally 1932] is by far the most celebrated defense of Kant)
regard as demonstrable Kant's claim about the systematic unity and
completeness of the table.
Brandt agrees with the latter position ("otherwise Kant would
not have claimed this unity" [p.4]), but he finds it
"startling" that the noted scholars who have looked for
Kant's arguments for completeness have not done so in "the
passage that introduces (A 67-9) and explains (A 706) the able of
judgments" (p.3). According to Brandt, "the key" (p. 70)
to the correct interpretation of the table can be found through
"certain hints" (p. 120) given in this very passage.
The introductory chapter is followed by a critical survey (chap.
2) of the major interpretations and solutions proposed by recent
commentators (some incisive criticisms are levelled at Reich's
book, the analysis of which takes up two-thirds of the chapter). In the
next two chapters, Brandt develops his own interpretation, which he
first presents "systematically" (chap. 3) and then
"historically" (chap. 4). He advances as "the systematic
idea of the table" the "hypothesis" that "the triad
of quantity, quality, and relation refers to the tres operationes of the
understanding, [namely] the doctrines of concepts, judgments, and
inferences, to which the doctrine of method is added as a fourth
member" (p. 48); and that the latter refers to modality which has
"a special status" (p. 56).
Brandt's hypothesis rests on the following considerations: In
the Preface to the first edition of the Critique, Kant says,
"Common logic itself supplies an example, how all the simple acts
of reason can be enumerated completely and systematically" (A xiv).
Brandt contends that the table of judgments is precisely "the place
in the Critique" where "all simple acts of general logic [are]
enumerated completely and systematically (A xiv)" (p. 121). Thus,
as Brandt sees it, the "completeness" of the four headings of
the table can be proven if one can "show that and how" (p.
121) the table "exhausts" (p. 7) "all acts of the
understanding" (A 69). "Understanding" taken broadly
means "the three mental powers" (p. 52), that is, "all
parts of [Aristotelian] logic" (p. 63), namely, concepts,
judgments, inferences, and method. Brandt carries out this task in the
first half of the systematic chapter via a detailed analysis and
interpretation of the introductory passage CA 67-70).
The second half of the chapter deals with the completeness of the
three "moments" under each of the four headings. Brandt's
exposition of the explanatory passage CA 71-6) leads him to conclude
that, while the first two moments under each of the first three headings
(quantity, quality, and relation) form "negations or
reversals" (p. 78), each of the third moments under the same
headings "places knowledge in relation to a sphere as a whole"
and thus "completes the preceding moments and because it thematizes
the whole, cannot be transcended by further moments ...." (p. 74).
Finally, modality, which "occup[ies] the position of the fourth
part of Aristotelian [logic] books, namely, method" (p. 82),
locates an already determined judgment (with respect to the moments of
quantity, quality, and relation) "in the context of the acquisition
of knowledge" (p. 82) consisting of "three stages [represented
by three moments of modality] in one epistemic process" (p. 83).
The chapter ends with an evaluation of the table and remarks on the
"architectonic." In the former, Brandt argues that Kant's
table both lacks "systematic coherence" and is inefficient
with respect to its epistemic function (p. 87).
In his historical presentation (chap. 4), Brandt develops the
"genesis" of the table as construed by him in the preceding
chapter by using sources taken from the works both of Kant (logic
lectures, Reflexionen, and other minor works) and of his predecessors
and contemporaries (Wolff, Meier, Lambert). In the concluding and final
chapter, Brandt situates his own view within the history of the
interpretation of the Critique.
Brandt notes that only an "indirect proof" can be given
to support his "hypothesis" (p.48), and concedes that the
latter can be maintained "even if some difficulties remain"
(p. 121). Indeed, one difficulty is that it is not made entirely
perspicuous how Brandt's "systematic idea" is to be
reconciled with Kant's claim that ail acts of understanding can be
reduced to judgments CA 69). In fact, Brandt himself expresses
puzzlement as regards this claim, but to sustain his account, he
interprets it to mean that "[i]t is not only ail the acts of the
understanding in judgments, but all operationes mentis whatsoever, and
these acts of the understanding can in turn be reduced to
judgments" (p. 56). Yet, one might ask, if the four headings and
the twelve moments of the table are already supposed to
"contain" (p. 71) all parts of logic, why would Kant bother to
reduce these "forms of thought" again to judgments? Brandt
says that "the essence of the general doctrines of concepts and
inferences lies in the doctrine of judgments ...." (p. 56). But
precisely in what sense does this amount to a "reduction" to
judgments? These questions, moreover, become more pressing when one
takes into consideration Brandt's own remark that Kant's
"table of judgments does not stand in the tradition of the doctrine
of judgments of Aristotle's De Interpretatione, but rather in the
tradition of Aristotle's Analytics, thus the doctrine of
syllogisms" (p. 65). Brandt's presentation, nonetheless, is by
and large clear, informative, original, and challenging.