Several intrinsic/extrinsic distinctions amongst properties, current in the literature, are discussed and contrasted. The proponents of such distinctions tend to present them as competing, but it is suggested here that at least three of the relevant distinctions (including here that between non-relational and relational properties) arise out of separate perfectly legitimate intuitive considerations: though of course different proposed explications of the informal distinctions involved in any one case may well conflict. Special attention is paid to the question of whether a (...) single notion of property is capable of supporting the various distinctions. (shrink)

We consider the modal logic of non-contingency in a general setting, without making special assumptions about the accessibility relation. The basic logic in this setting is axiomatized, and some of its extensions are discussed, with special attention to the expressive weakness of the language whose sole modal primitive is non-contingency , by comparison with the usual language based on necessity.

The thesis of this paper is that Thomas Aquinas offers an alternative model of abstraction (the Active Principle Model) that overcomes the standard objections to abstractionism and expands our view of what an abstractionist theory might look like. I contend that this alternative model of abstraction has been invisible in plain sight, in Aquinas’s references to the mind’s abstractive mechanism as an “intellectual light.” Such language is not metaphorical but rather technical, signaling that intellectual abstraction is to be modeled on (...) the activity of physical light as he understood it from theories proposed by Avicenna and Averroes. The Active Principle Model requires us to rethink Aquinas’s account of how we come to know essences—a process that turns out to be much more tentative and incremental than previously thought. (shrink)

For the claim that the satisfaction of certain conditions is sufficient for the application of some concept to serve as part of the (`reductive') analysis of that concept, we require the conditions to be specified without employing that very concept. An account of the application conditions of a concept not meeting this requirement, we call analytically circular. For such a claim to be usable in determining the extension of the concept, however, such circularity may not matter, since if the concept (...) figures in a certain kind of intensional context in the specification of the conditions, the satisfaction of those conditions may not itself depend on the extension of the concept. We put this by saying that although analytically circular, the account may yet not be inferentially circular. (shrink)

This paper considers the question: what becomes of the notion of a logic as a way of codifying valid arguments when the customary assumption is dropped that the premisses and conclusions of these arguments are statements from some single language? An elegant treatment of the notion of a logic, when this assumption is in force, is that provided by Dana Scott's theory of consequence relations; this treatment is appropriately generalized in the present paper to the case where we do not (...) make this assumption of linguistic homogeneity. Several applications of the resulting concept of a heterogeneous logic are suggested, but the main emphasis is on the formal development. One topic touched on is a certain contrast between the boolean and the intensional sentence-connectives in this more general setting. (shrink)

An account of desire as a species of belief may owe its appeal to the details of its proposal as to precisely what sort of beliefs desires are to be identified with, and its downfall may be due to those details it does provide. For example, it may be proposed that the desire that α is in fact the belief that it ought to be that α, or is morally good or desirable that it should be the case that α. (...) Here the appeal might be that of forging a link between the holding of a moral belief and the acknowledgment that one has a reason for acting a certain way; and the shortcoming of the suggestion is its evident implausibility: even if the ‘necessity’ direction could be established, having a desire hardly seems sufficient for the holding of any such belief. Again: it might be proposed, perhaps simply to bring some order into the realm of propositional attitudes by reducing some to others, that the belief with which we should identify a’s desire that α is a’s belief that he will or would be happy if α. This proposed identification can be seen to be incorrect by consideration of examples such as the following, due to J. Gosling. An aging and ailing parent might forego numerous pleasures in order that his children should reap the benefits of his saving and have a good start in life – perhaps by receiving an expensive education – after his impending death. Oearly he may want that they should so benefit even if he does not believe in an after-death existence in which he might come to know of, and so take pleasure in, his children’s subsequent well-being. So his wanting that they should prosper cannot consist in his believing that he will be happy if/when they do, since he has no expectation of even being in existence in that eventuality. As Gosling puts it, there is a clear difference between thinking that something’s coming about will bring one pleasure, on the one hand, and viewing the prospect of its coming about with pleasure, on the other. (shrink)

A.N. Prior once showed that on certain apparently reasonable assumptions, a thesis sometimes associated with the name of Hume to the effect that no set of factual statements can ever entail an evaluative statement, is quite untenable. We assume only that there is at least one statement of each kind, and that the negation of a factual statement is factual — a principle we may call ‘N'. Now consider the disjunction F V E of some factual with some evaluative statement. (...) Since the disjunction is entailed by F, a factual statement, it must, if principle H is correct, be classified as factual. But by N, ∽ F is also factual, and this together with F V E entails E, thus violating H since E was exhypothesi an evaluative statement. (shrink)

I argue that Thomas Aquinas’s Identity Formula—the statement that the “intellect in act is the intelligible in act”—does not, as is usually supposed, express his position on how the intellect accesses extramental realities (responding to the so-called “mind-world gap”). Instead, it should be understood as a claim about the metaphysics of intellection, according to which the perfection requisite for performing the act of understanding is what could be called “intellectual-intelligible being.” In reinterpreting Aquinas’s Identity Formula, I explore the notion of (...) being “in act” as an intellect or intelligible (intelligibile actu, intellectus actu), his curious comments about an “order” or “genus” of intelligibles, and the relationship of understanding and being-understood. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Metaphysical Themes in Thomas Aquinas III by John F. WippelTherese Scarpelli CoryWIPPEL, John F. Metaphysical Themes in Thomas Aquinas III. Washington, D.C.: The Catholic University of America Press, 2021. ix + 321 pp. Cloth, $65.00; eBook, $65.00This volume is the third in what can now be considered informally a series of volumes collecting some of John F. Wippel's most important writings. (Two previous volumes, Metaphysical Themes in (...) Thomas Aquinas and Metaphysical Themes in Thomas Aquinas II, were published in 1984 and 2007, respectively, by the same press.) In this volume, Wippel has collected nine of his articles or book chapters, originally published from 2002–2019, on a wide range of topics: (1) "Aquinas on Separatio and Our Discovery of Being as Being," (2) "Thomas Aquinas on Philosophy and the Preambles of Faith," (3) "Cornelio Fabro on the Distinction and Composition of Essence and Esse in the Metaphysics of Thomas Aquinas," (4) "Cornelio Fabro on Participation and Aquinas's Quarta Via," (5) "Aquinas on Creation and Preambles of Faith," (6) "Thomas Aquinas and the Unity of Substantial Form," (7) "Thomas Aquinas on the Separated Soul's Natural Knowledge," (8) "Metaphysical Themes in De Malo I," and (9) "Metaphysical Composition of Angels in Bonaventure, Aquinas, and Godfrey of Fontaines."Such collections provide a valuable opportunity for the author's retrospective on the work thus collected. In this respect, it is especially worth noting the usefulness of the introduction to this volume, in which Wippel has provided a detailed précis for each included chapter. The introduction thus serves as a helpful roadmap to orient new and returning readers of Wippel's work to some of his most important writings.In a book review of this length, it is impossible to summarize adequately the content of each essay. Indeed, it would be redundant to try, given the much more authoritative content of Wippel's own introduction to the volume. Consequently, I will limit myself to highlighting one of the notable inclusions in this collection, namely, chapter 6, "Thomas Aquinas and the Unity of Substantial Form." Despite the modest title, the piece is an extensive and wide-ranging study of the development and fate of Aquinas's controversial doctrine, the anxieties it raised among his contemporaries, and the debate that raged at Paris in the late thirteenth century, and during which the doctrine appears to have narrowly escaped inclusion on the list of condemnations of 1270. Wippel correlates some interesting historical anecdotes and documentary evidence with Aquinas's series of changing formulations in discussions of the unity of substantial form. He is thereby able to document a particularly nuanced case in which Aquinas attempts to make his own thought clearer in the face of a developing controversy, but without giving up on the essentials of his own position.Nonetheless, Wippel points out that Aquinas never fully resolved the theological criticisms lodged against his position. Within the debate over the number of substantial forms in a substance, the identity of Christ's dead body in the tomb between the crucifixion and resurrection ended up becoming a test case: What makes Christ's living body and his dead body in the tomb both be identically the same body? The problem is as follows: [End Page 371] Since substantial form is what secures the identity of a substance across time, if there is just one substantial form in a human substance, and that form (the human soul) departs Christ's body in his death on the cross, then after his death whatever is left can no longer be identified as Christ's body. It must be some new substance with its own substantial form.For opponents, this difficulty was fatal. How did Aquinas respond? Disappointingly, he only asserts that Christ's dead body is numerically identical with his living body, just not "in every way"—but without explaining why he thinks this identity is preserved. It is left to Giles of Rome to fill out a tentative solution: Although the matter of Christ's body does take on a new substantial form, it remains Christ's, because it remains united to the person of the Word.The problem is... (shrink)

This paper is about a support information management system for a wind power producer having an energy storage system and participating in a day-ahead electricity market. Energy storage can play not only a leading role in mitigation of the effect of uncertainty faced by a WP producer, but also allow for conversion of wind energy into electric energy to be stored and then released at favourable hours. This storage provides capability for arbitrage, allowing an increase on profit of a WP (...) producer, but must be supported by a convenient problem formulation. The formulation proposed for the support information management system is based on an approach of stochasticity written as a mixed integer linear programming problem. WP and market prices are considered as stochastic processes represented by a set of scenarios. The charging/discharging of the ESS are considered dependent on scenarios of market prices and on scenarios of WP. The effectiveness of the proposed formulation is tested by comparison of case studies using data from the Iberian Electricity Market. The comparison is in favour of the proposed consideration of stochasticity. (shrink)

SummaryIf you know you can recognise positive instances of a property, can you use this knowledge so as to be able to recognise also its negative instances? This is the question to be adressed.

What does it mean to be an embodied thinker of abstract concepts? Does embodiment shape the character and quality of our understanding of universals such as 'dog' and 'beauty', and would a non-embodied mind understand such concepts differently? I examine these questions through the lens of Thomas Aquinas’s remarks on the differences between embodied (human) intellects and non-embodied (angelic) intellects. In Aquinas, I argue, the difference between embodied and non-embodied intellection of extramental realities is rooted in the fact that embodied (...) and non-embodied intellects grasp different kinds of universals by means of different kinds of intelligible species (intellectual likenesses), which elicit in them different “modes” of understanding. By spelling out what exactly it means to be an embodied knower, on Aquinas’s account, I argue, we can also shed new light on his mysterious claim that the embodied intellect “turns to phantasms”—the imagination’s likenesses of individuals—in its acts of understanding. (shrink)

An analogy between functional dependencies and implicational formulas of sentential logic has been discussed in the literature. We feel that a somewhat different connexion between dependency theory and sentential logic is suggested by the similarity between Armstrong's axioms for functional dependencies and Tarski's defining conditions for consequence relations, and we pursue aspects of this other analogy here for their theoretical interest. The analogy suggests, for example, a different semantic interpretation of consequence relations: instead of thinking ofB as a consequence of (...) a set of formulas {A1,...,A n} whenB is true on every assignment of truth-values on which eachA i is true, we can think of this relation as obtaining when every pair of truth-value assignments which give the same truth-values toA 1, the same truth-values toA 2,..., and the same truth-values toA n, also make the same assignment in respect ofB. We describe the former as the consequence relation inference-determined by the class of truth-value assignments (valuations) under consideration, and the latter as the consequence relation supervenience-determined by that class of assignments. Some comparisons will be made between these two notions. (shrink)

Tarski 1968 makes a move in the course of providing an account of ?definitionally equivalent? classes of algebras with a businesslike lack of fanfare and commentary, the significance of which may accordingly be lost on the casual reader. In ?1 we present this move as a response to a certain difficulty in the received account of what it is to define a function symbol (or ?operation symbol?). This difficulty, which presents itself as a minor technicality needing to be got around (...) especially for the case of symbols for zero-place functions (for ?distinguished elements?), has repercussions?not widely recognised?for the account of functional completeness in sentential logic. A similarly stark comment in Church 1956 reveals an appreciation of this difficulty, though not every subsequent author on the topic has taken the point. We fill out this side of the picture in ?2. The discussion of functional completeness in ?2 is supplemented by some remarks on what is involved in defining a connective, which have been included in an Appendix. The emphasis throughout is on conceptual clarification rather than on proving theorems, and the main body of the paper may be regarded as an elaboration on the remarks just mentioned by Tarski and Church. The Appendix (?3) is intended to be similarly clarificatory, though this time with some corrective intent, of remarks made in and about Makinson 1973. (shrink)

A purported axiomatization, by P. Gärdenfors, of intuitionistic propositional logic is shown to be incomplete, and that the mistaken claim to completeness is seen to result from carelessness in the choice of primitive logical vocabulary. This leads to a consideration of various ways of conceiving the distinction between primitive and defined vocabularies, along with the bearing of these differences on such matters as are discussed in connection with Gärdenfors.

The adverse reaction to Hempel's 'ravens paradox' embodied in giving it that description is compared with the usual reaction of experimental subjects to the Wason selection task.

We illustrate, with three examples, the interaction between boolean and modal connectives by looking at the role of truth-functional reasoning in the provision of completeness proofs for normal modal logics. The first example (§ 1) is of a logic (more accurately: range of logics) which is incomplete in the sense of being determined by no class of Kripke frames, where the incompleteness is entirely due to the lack of boolean negation amongst the underlying non-modal connectives. The second example (§ 2) (...) focusses on the breakdown, in the absence of boolean disjunction, of the usual canonical model argument for the logic of dense Kripke frames, though a proof of incompleteness with respect to the Kripke semantics is not offered. An alternative semantic account is developed, in terms of which a completeness proof can be given, and this is used (§ 3) in the discussion of the third example, a bimodal logic which is, as with the first example, provably incomplete in terms of the Kripke semantics, the incompleteness being due to the lack of disjunction (as a primitive or defined boolean connective). (shrink)