In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Leibniz on Purely Extrinsic DenominationsGary L. CesarzDennis Plaisted. Leibniz on Purely Extrinsic Denominations. Rochester: University of Rochester Press, 2002. Pp. viii + 128 Cloth, $70.00.Interpreting Leibniz is like trying to flatten a balloon without deflating it; press it here and it bulges there. Press one of his controversial principles and problems result for another. Leibniz on contingent and necessary truths e…
Read moreIn lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Leibniz on Purely Extrinsic DenominationsGary L. CesarzDennis Plaisted. Leibniz on Purely Extrinsic Denominations. Rochester: University of Rochester Press, 2002. Pp. viii + 128 Cloth, $70.00.Interpreting Leibniz is like trying to flatten a balloon without deflating it; press it here and it bulges there. Press one of his controversial principles and problems result for another. Leibniz on contingent and necessary truths exemplifies this difficulty. So does Leibniz's denial that there are "extrinsic denominations which have no foundationin the denominated thing" (NPE).Plaisted questions the meaning and challenges the current interpretations of this principle. Does "foundation" mean "included in a thing," or "reducible to an intrinsic denomination"? Furthermore, what is the thing denominated? Is it the individual concept of a substance, or an intrinsic denomination in the concept of the substance? Leibniz holds, "for all truths the predicate is contained in the subject" (PS) which, in some sense, includes both denominations (Leroy E. Loemker, ed., Gottfried Wilhelm Liebniz: Philosophical Papers and Letters [Dordrecht: Reidel, 1976], 268). This suggests that both denominations have the same status as predicates. However, such statements as, "there is no denomination so extrinsic that it does not have an intrinsic denomination as its basis" (Loemker, 527) and "all extrinsic denominations are founded in intrinsic denominations" (Benson Mates, The Philosophy of Leibniz: Metaphysics and Language [New York: Oxford University Press, 1989], 225) suggest that the former reduce to the latter. The last two quotes seem to trump all hands. But textual citations are seldom enough to settle disputes of this sort.This has inspired two approaches to the question, one reductionistic, the other non-reductionistic. Plaisted adopts a non-reductionistic approach but regards those prior to his as implausible and unsatisfactory (1, 113 n.34). As for reductionism, he claims to "stand [End Page 494] [it] on its head" (1) and denies its "textual merit" (14). Given Plaisted's broad grasp of Leibniz's writings, this is not an oversight of the passages quoted above. Rather, his case depends on reinterpreting the same passages in light of his version of NPE.A reduction, according to some, requires that a relational proposition be logically equivalent (or at least truth-functionallyequivalent) to a set of non-relational propositions. For others, implication is sufficient, i.e., for a given relational proposition z, and two non-relational propositions x and y, it is impossible that (x & y) is true but z false (Mates, 218). In response, Plaisted examines NPE from four angles, including Leibniz's predicate-in-subject notion of truth, the identity of indiscernibles, and two others. However, since all that follows rides on his understanding of PS, let us focus on it.Plaisted's interprets NPE to mean "There are no extrinsic denominations of an individual... that are not included in that individual's concept" (11). To support this, he observes that Leibniz applies PS to all truths and often derives NPE from PS. But to justify substituting "included in" for Leibniz's use of "foundation in," Plaisted elects to interpret PS in a troubling way. Now, Leibniz insists that necessary truths state an identity between a subject and predicate, either explicit or implicit, and that the latter are reducible to the former by an a priori proof of finite length. Leibniz further says that identity, as explained above, is the reason that PS holds for necessary truths. Thus, Plaisted infers that "identity" and "having a reason" are equivalent, that this sense of PS generalizes to all truths (24-25), and claims support for his version of NPE. This is a positive result for Plaisted, for from it he infers that extrinsic denominations are included in the individual's concept as directly as intrinsic denominations, hence the latter cannot serve as the foundation for the former (25ff.). But this is problematic.First, it leads him to affirm that some denominations are both extrinsic and intrinsic (75). This is a strange conclusion to consider positive, for it implies that there are two types of intrinsic plus extrinsic denominations. Surely this strains the boundaries of "textual merit" at least as much as Plaisted charges against reductionists. More importantly, even if the equivalence Plaisted presses holds for necessary...