Appearing in English for the first time, Schelling’s 1842 lectures develop the idea that many philosophical concepts are born of religious-mythological notions.

There exist important deductive systems, such as the non-normal modal logics, that are not proper subjects of classical algebraic logic in the sense that their metatheory cannot be reduced to the equational metatheory of any particular class of algebras. Nevertheless, most of these systems are amenable to the methods of universal algebra when applied to the matrix models of the system. In the present paper we consider a wide class of deductive systems of this kind called protoalgebraic logics. These include (...) almost all (non-pathological) systems of prepositional logic that have occurred in the literature. The relationship between the metatheory of a protoalgebraic logic and its matrix models is studied. The following results are obtained for any finite matrix model U of a filter-distributive protoalgebraic logic : (I) The extension U of is finitely axiomatized (provided has only finitely many inference rules); (II) U has only finitely many extensions. (shrink)

W. J. Mander provides a brief introduction to and critical assessment of the thought of the greatest of the British Idealist philosophers, F. H. Bradley (1846-1924), whose work has been largely neglected in this century. After a general introduction to Bradley's metaphysics and its logical foundations, Mander shows that much of Bradley's philosophy has been seriously misunderstood. Mander argues that any adequate treatment of Bradley's thought must take full account of his unique dual inheritance from the traditions of British empiricism (...) and Hegelian rationalism. The scholarship of recent years is assessed, and new interpretations are offered of Bradley's views about truth, predication, and relations, and of his arguments for idealism. (shrink)

This paper argues that a strong thesis of divine providence, whereby God is understood as in complete control of all things, entails pantheism, the thesis that the universe is not ontologically distinct from God. In normal discourse, we distinguish a plan from, on the one hand, the state of affairs which realizes that plan—its execution or expression—and, on the other hand, the person or group whose plan it is. However, with respect to an omnipotent God who displays complete providence, neither (...) of these two distinctions holds. We cannot separate person from plan, or plan from world, and in consequence, neither can we separate person from world, ergo pantheism. Accordingly, the argument of this paper comes in two parts maintaining, first, the impossibility of distinguishing between God’s plan and its execution and, second, the impossibility of distinguishing God himself from his plan. (shrink)

Let S denote the variety of Sugihara algebras. We prove that the lattice (K) of subquasivarieties of a given quasivariety K S is finite if and only if K is generated by a finite set of finite algebras. This settles a conjecture by Tokarz [6]. We also show that the lattice (S) is not modular.

W. J. Mander presents the first ever synoptic history of British Idealism, the school of thought which dominated English-language philosophy from the 1860s to the early 20th century. He restores to its proper place this neglected period of philosophy, introducing the exponents of Idealism and explaining its distinctive concepts and doctrines.

We study modal logics in the setting of varieties of modal algebras. Any variety of modal algebras generated by a finite algebra — such, a variety is called tabular — has only finitely many subvarieties, i.e. is of finite height. The converse does not hold in general. It is shown that the converse does hold in the lattice of varieties of K4-algebras. Hence the lower part of this lattice consists of tabular varieties only. We proceed to show that there is (...) a continuum of pretabular varieties of K4-algebras — those are the non-tabular varieties all of whose proper subvarieties are tabular — in contrast with Maksimova's result that there are only five pretabular varieties of S4-algebras. (shrink)

Life, work, and influences -- Life -- Work -- Influences -- Metaphysics -- The intelligible world -- The existence of the intelligible world -- The intelligible and the divine world -- The intelligible and the natural world -- Knowledge -- Mind and body -- The souls of animals -- Knowledge : thought and souls -- Knowledge : God -- Mediate knowledge : external world -- Discussion and assessment of Norris's theory -- Was Norris an idealist? -- Faith and reason -- (...) The Socinian controversy -- Faith -- Reason -- Above reason and contrary to reason -- The measure of truth -- Faith and reason -- Malebranche -- Descartes -- Locke -- Love -- The theory of love -- The regulation of love -- The measure of divine love -- Controversy with Locke -- Norris's criticisms of Locke -- Locke's responses -- Concluding comments. (shrink)

The veiled recession frame has served several times in the literature to provide examples of modal logics failing to have certain desirable properties. Makinson [4] was the first to use it in his presentation of a modal logic without the finite model property. Thomason [5] constructed a (rather complicated) logic whose Kripke frames have an accessibility relation which is reflexive and transitive, but which is satisfied by the (non-transitive) veiled recession frame, and hence incomplete. In Van Benthem [2] the frame (...) was an essential tool to find simple examples of incomplete logics, axiomatized by a formula in two proposition letters of degree 2, or by a formula in one proposition letter of degree 4 (the degree of a modal formula is the maximal number of nested occurrences of the necessity operator in ). In [3] we showed that the modal logic determined by the veiled recession frame is incomplete, and besides that, is an immediate predecessor of classical logic (or, more precisely, the modal logic axiomatized by the formula pp), and hence is a logic, maximal among the incomplete ones. Considering the importance of the modal logic determined by the veiled recession frame, it seems worthwhile to ask for an axiomatization, and in particular, to answer the question if it is finitely axiomatizable. In the present paper we find a finite axiomatization of the logic, and in fact, a rather simple one consisting of formulas in at most two proposition letters and of degree at most three. (shrink)

What are the limits of Left Wittgensteinianism's point- and need-based account of conceptual change? Based upon Wittgenstein's account of certainty and the riverbed analogy for conceptual change in On Certainty, the question is raised whether Queloz and Cueni's redevelopment of Left Wittgensteinianism can account for the multiplicitous forms of change these concepts are subject to. I argue that Left Wittgensteinianism can only partially do so, because it overemphasises the role of criticism-driven conceptual change, due to its focus on the reason-based (...) contingency of the practices of a local ‘we’. In response, it is argued that Left Wittgensteinianism should be fortified with (i) gradual changes to concepts' sociocultural constraints that concept-users are unaware of and (ii) evolutionary and environmental changes to the biological determinants of natural constraints of conceptual cores. In the end, there are conceptual practices like holding for certain that are generally, and fully contingent, but simultaneously inevitable not only for ‘us’ but also for many other delimitations of ‘we’. Subsequently, the compatibility of this Wittgensteinian account of conceptual change with pragmatic genealogy is discussed. It is concluded that thinking about conceptual changes to practices cannot be about the possibility of criticism alone nor succeed without the inclusion thereof. (shrink)

In this paper I argue that Wittgenstein is correct when he says of the Standard Metre stick that we can neither say that it is or is not a metre in length – despite what our intuitions may tell us to the contrary. Specifically, the paper deals with Kripke's criticism of Wittgenstein's claim in Naming And Necessity and with Salmon's attempt to arbitrate between the two views. I conclude that, not only is Wittgenstein correct, but that both Kripke and Salmon (...) (and possibly the majority of philosophers) simply do not understand the concept of measurement. (shrink)

Art history on the edge : iconology, media, and visual culture -- Four fundamental concepts of image science -- Image science -- Image X text -- Realism and the digital image -- Migrating images : totemism, fetishism, idolatry -- The future of the image : Rancière's road not taken -- World pictures : globalization and visual culture -- Media aesthetics -- There are no visual media -- Back to the drawing board : architecture, sculpture, and the digital image -- Foundational (...) sites and occupied spaces -- Border wars : translation and convergence in politics and media -- Art X environment -- The historical uncanny : phantoms, doubles, and repetition in the war on terror -- The spectacle today : a response to retort -- Coda : for a sweet science of images. (shrink)

F. H. Bradley did not write extensively or systematically on the philosophy of religion, and much of what he did write has the character of either tentative speculation or the pre-emptive rebuttal of potential misinterpretations that might threaten his general philosophical position. ‘I admit that on this subject I never had much to say’ he warns. But such a remark should not discourage us from considering his views on this topic, since the disclaimer is typically Bradleian, and more reflective of (...) his high standards for what is required in order to claim to have something to say about some matter than of any genuine lack of opinion. On closer inspection we find that he has, scattered throughout his work, a great many important things to say about this subject. (shrink)

Royce's Argument for the Absolute w.j. MANDER IN 188 5 IN THE PENULTIMATE CHAPTER of his first book, The Religious Aspect of Philosophy, Josiah Royce put forward an argument for Absolute Idealism based on the possibility of error. He considered the argument a most important one and returned to it on numerous occasions after that, slightly recasting it each time,' but never, he later claimed, really leaving it behind. Nor was he alone in his opinion of it; well received by (...) his contemporaries, such as William James, the argument did much to establish the young Royce's reputation. 9 Like the Absolute Idealism which it was designed to support, Royce's once- famous argument is now largely forgotten, yet there is no real justification for this save fashion, for it deals in a fresh and imaginative way with a subject matter still very much discussed in the literature. The purpose of this study is to recon- sider Royce's argument and to assess its validity. I shall examine it in some detail below, but first let me give a very brief summary of Royce's case keeping as close as possible to his own original presentation of it. The argument occurs in the following places, references to which will be abbreviated by the letters in brackets: The Religious Aspect of Philosophy , Chap. XI; The spirit of Modern Philosophy , Ch. XI; "The Implications of self-Consciousness," reprinted in his Studies.. (shrink)