Frederick Kroon

EXISTENTIALISM IN PHILOSOPHICAL LOGIC IS THE DOCTRINE THAT STATES OF AFFAIRS, PROPOSITIONS AND PROPERTIES INVOLVING OBJECTS INCLUDE THESE OBJECTS AS DIRECT CONSTITUENTS IN AT LEAST THE SENSE THAT THE NONEXISTENCE IN A WORLD w OF SOCRATES, SAY, IMPLIES THE NONEXISTENCE IN w OF SOCRATES' BEING SNUB-NOSED. JOHN POLLOCK HAS RECENTLY ARGUED (IN "THE FOUNDATIONS OF PHILOSOPHICAL SEMANTICS") THAT SUCH AN EXISTENTIALISM HARBOURS AN INCONSISTENCY. THE PRESENT PAPER REBUTS POLLOCK'S ARGUMENT BY ARGUING THAT IT DEPENDS ON A CHARACTERIZATION OF EXISTENTIALISM THAT EXISTENTIALISTS HAVE NO REASON TO ACCEPT, AND, INDEED, GOOD REASON TO REJECT

This paper deals with a philosophical question that arises within the theory of computational complexity: how to understand the notion of INTRINSIC complexity or difficulty, as opposed to notions of difficulty that depend on the particular computational model used. The paper uses ideas from Blum's abstract approach to complexity theory to develop an extensional approach to this question. Among other things, it shows how such an approach gives detailed confirmation of the view that subrecursive hierarchies tend to rank functions in terms of their intrinsic, and not just their model-dependent, difficulty, and it shows how the approach allows us to model the idea that intrinsic difficulty is a fuzzy concept.

Let g E(m, n)=o mean that n is the Gödel-number of the shortest derivation from E of an equation of the form (m)=k. Hao Wang suggests that the condition for general recursiveness mn(g E(m, n)=o) can be proved constructively if one can find a speedfunction s s, with s(m) bounding the number of steps for getting a value of (m), such that mn s(m) s.t. g E(m, n)=o. This idea, he thinks, yields a constructivist notion of an effectively computable function, one that doesn't get us into a vicious circle since we intuitively know, to begin with, that certain proofs are constructive and certain functions effectively computable. This paper gives a broad possibility proof for the existence of such classes of effectively computable functions, with Wang's idea of effective computability generalized along a number of dimensions.

Contrary to frequent declarations that descriptivism as a theory of how names refer is dead and gone, such a descriptivism is, to all appearances, alive and well. Or rather, a descendent of that doctrine is alive and well. This new version—neo-descriptivism, for short—is supposedly immune from the usual arguments against descriptivism, in large part because it avoids classical descriptivism’s emphasis on salient, first-come-to-mind properties and holds instead that a name’s reference-fixing content is typically given by egocentric properties specified in terms of broadly causal relationships between a speaker and his environment: properties like being the actual individual called ‘Aristotle’ referred to by my informants’ use of the name, being the actual individual called ‘George Bush’ whom I have seen/heard described as the U.S. President who started the second Gulf War, and so on. names is not in contention.) What these neo-descriptivists claim is that the usual modal, semantical, and epistemological arguments against classical descriptivism don’t get much of a foothold against this new version, especially if we don’t insist that speakers be able to state these properties on demand. It is enough that these are properties implicit in the semantic judgments of speakers. Recent attacks notwithstanding, such a neo-descriptivism has struck many philosophers as a credible and worthy successor to classical descriptivism.

This chapter attempts to adjudicate the disagreement between familiar realist ways of understanding intentionality and the anti-realist way favored by phenomenal intentionalists. It begins this task by presenting what seems a particularly strong reason for thinking that phenomenal intentionalists have underestimated the need for intentional objects in an account of the intentional content of sensory experience. After arguing that we should nonetheless question the intentional realist's account of this intentional content, the chapter offers a compromise fictionalist approach that fits the spirit of the phenomenal intentionalist framework while retaining the benefits of the intentional realist's way of invoking intentional objects.

God, by definition, is all-powerful, all-good, all-wise, and all-knowing. Therein lies a problem for the theist, of course, for every one of these attributes has been the subject of fierce debate. In this paper I want to return to the debate by introducing a new problem for the idea that anyone could have the kind of perfect knowledge God is supposed to have. What distinguishes my problem from others is that the sort of knowledge it focuses on is self-knowledge, hence knowledge of a particularly intimate kind. My claim is that God cannot have infallible knowledge of at least some of his own perfections, in particular his being all-wise or ideally rational. Such ignorance is not only inconsistent with the usual conception of God's omniscience, given that whatever knowledge God possesses is traditionally thought to be be a priori and infallible, but, more importantly, is inconsistent with the fundamental idea that God at least knows infallibly or incorrigibly that he has what it takes to be God: qualities such as omnibenevolence, omnipotence, and supreme wisdom. In short, my claim is that God must have a deep “blindspot” about his own nature, something which is inconsistent with a traditional picture of that nature.

The question of the role of theory in the determination of reference of theoretical terms continues to be a controversial one. In the present paper I assess a number of responses to this question (including variations on David Lewis’s appeal to Ramsification), before describing an alternative, epistemically oriented account of the reference-determination of such terms. The paper concludes by discussing some implications of the account for our understanding of both realism and such competitors of realism as constructive empiricism

Attempts to analyze negative existential statements face the following familiar problem. If a negative existential statement—say, “Hamlet does not exist” or “the golden mountain does not exist”—is true, its subject term must lack an object of reference. But, absent such an object, it seems that nothing true or false can be said about “it.” In particular, if there is no Hamlet to talk about, we surely cannot truthfully say that “he” does not exist. Hence, the truth of true negative existentials—and there are many—seems to preclude their truth and falsity. Call this “the negative existential problem.”

Brentano famously changed his mind about intentionality between the 1874 and 1911 editions of Psychology from an Empirical Standpoint (PES). The 1911 edition repudiates the 1874 view that to think about something is to stand in a relation to something that is within in the mind, and holds instead that intentionality is only like a relation (it is ‘quasi-relational’). Despite this, Brentano still insists that mental activity involves ‘the reference to something as an object’, much as he did in the 1874 edition of PES. The question is what Brentano might have meant by this, given that he rejects a relational account of intentionality. The present paper suggests an answer. It draws on recent work on pretence theory to provide a model of Brentano’s notion of the quasi-relational nature of mental phenomena, as well as of the notion of mental reference to an object, and argues that the model helps to explain why Brentano might have been able discern a clear continuity between the views of the 1874 and 1911 editions of PES, despite the differences.

In his 'Why We Need A-Intensions', Frank Jackson argues that "representational content [is] how things are represented to be by a sentence in the communicative role it possesses in virtue of what it means," a type of content Jackson takes to be broadly descriptive. I think Jackson overstates his case. Even if we agree that such representational properties play a crucial reference-fixing role, it is much harder to argue the case for a crucial communicative role. I articulate my doubts about Jackson's views on this point by contrasting them with the views of John Stuart Mill, usually regarded as an early believer in something like a direct reference account of content for names, but someone who, on my reading, teaches us a salutary lesson about the importance of separating the question of how reference is determined from the question of how we succeed in communicating