The advantages and disadvantages of formalization in philosophy are summarized. It is concluded that formalized philosophy is an endangered speciality that needs to be revitalized and to increase its interactions with non-formalized philosophy. The enigmatic style that is common in philosophical logic must give way to explicit discussions of the problematic relationship between formal models and the philosophical concepts and issues that motivated their development.

Probabilistic coherence is not an absolute requirement of rationality; nevertheless, it is an ideal of rationality with substantive normative import. An idealized rational agent who avoided making implicit logical errors in forming his preferences would be coherent. In response to the challenge, recently made by epistemologists such as Foley and Plantinga, that appeals to ideal rationality render probabilism either irrelevant or implausible, I argue that idealized requirements can be normatively relevant even when the ideals are unattainable, so long as they (...) define a structure that links imperfect and perfect rationality in a way that enables us to make sense of the notion of better approximations to the ideal. I then analyze the notion of approximation to the ideal of coherence by developing a generalized theory of belief functions that allows for incoherence, and showing how such belief functions can be ordered with regard to greater or lesser coherence. (shrink)

The existing literature treats of several investigations with a certain bearing on the question which is roughly indicated by the title “Imperatives and Logic.” Some of those investigations, however, are entirely outside the scope of the present work.Mally sets himself the task of developing a “Logik des Willens” constituting a parallel to the usual logic, the “Logik des Denkens". In order to emphasize its independence, the author also calls this “Logik des Willens” “Deontik”, and he conceives it as being based (...) on the “Wesensgesetze” of will in the same way as the usual logic is conceived as being based on the “Wesensgesetze” of thought. The author develops a formalistic deductive system on the basis of 5 axioms of demands, including the axiom that there is at least one fact which is unconditionally demanded, and through a lengthy series of theorems he arrives at the sentence that what is unconditionally demanded is identical with what is actually the case: “was sein soll, ist Tatsache”. Similarly, the author develops a system of axioms for “right” volition, including the axiom that right volition is non-contradictory. (shrink)

The logic of an ought operator O is contranegative with respect to an underlying preference relation if it satisfies the property Op & (¬p)(¬q) Oq. Here the condition that is interpolative ((p (pq) q) (q (pq) p)) is shown to be necessary and sufficient for all -contranegative preference relations to satisfy the plausible deontic postulates agglomeration (Op & OqO(p&q)) and disjunctive division (O(p&q) Op Oq).

I reply to David Basinger who, in an article printed in the same issue, develops objections to my original argument (IPQ XIX, 203-212) that it makes no sense to inquire whether God could create the best possible world since the concept of a best possible world is a meaningless notion. I argue that if the number of possible worlds is infinite, there cannot be an upper limit to this order, and without an upper limit, there can be no best possible (...) world. (shrink)

Probably no one has done more than Frankena to bring about the recent shift in philosophical interest from the primarily linguistic concerns of metaethics to what he calls “meta-morals,” that is, to questions about morality as a whole. Instead of investigating what so-called ethical terms stood for, or whether ethical utterances employed propositions or proposals or imperatives or whether they expressed feelings, beliefs, descriptions or prescriptions, or whether they conformed to ordinary propositional logic or to an imperatival or some other (...) logic of their own, Frankena set out to investigate the moral enterprise itself. Quite recently he put together the results of these reflections in two series of lectures, “Three Questions About Morality” and Thinking About Morality. My own views had always been very close to his, but these recent lectures, which for the first time put his thoughts on this topic together in a systematic way, have made clear to me that, while the starting point of our investigations is indeed the same, our conclusions diverge on a number of important points. I want to take up some of the problems to which we offer different solutions. (shrink)

This essay offers a defence of the non-cognitivist approach to the interpretation of moral judgments as disguised imperatives corresponding to social rules. It addresses the body of criticism that faced R. M. Hare, and that currently faces moral anti-realists, on two levels, by providing a full semantic analysis of evaluative judgments and by arguing that anti-realism is compatible with moral aspiration despite the non-existence of obligations as the externalist imagines them. A moral judgment consists of separate descriptive and prescriptive components (...) and is to be understood as a declarative statement prefaced by an 'ideality operator'. Moral beliefs are genuinely representational, but their truth conditions can only be stated with reference to imaginary ideal worlds. Moral judgments are neither confirmed nor verified, but alternative moral positions are preferentially endorsed and adopted by individual agents on the basis of their perceived all-things-considered optimality. High aspiration moralities are normally very costly to agents in terms of their prudential and aesthetic interests, but they are theoretically as eligible as the adoption of other, less demanding sets of rules. (shrink)