Peter Simons

George and I have been discussing Dividing Reality. It was my Canadian friend whose native language is supposed to have so many different words for snow and ice who suggested I was wasting my time with him and should try George. After all, he pointed out, George’s environment is so different from even the Arctic that we'd be getting a truly alien perspective. He at least understands ‘gricular', in fact he'd be happy to see more gricular things about, they might well be edible. George does not see what the fuss is about. As far as he is concerned, ‘gricular' is just as unnatural as ‘green' or ‘circular': it's way off his conceptual map.

ABSTRACT There is more than one way to kill a cat. What are ways? Very little has been written about them in general, but they appear at crucial places in many philosophical discussions. Clarity over the ontology of ways could help in several areas of philosophy. After indicating where ways have been mentioned, I discuss briefly the corresponding linguistic feature, adverbs of manner, before outlining three theories: a Platonistic one making ways a complex kind of function, a Davidsonian one in which ways are (mainly) properties of events, and finally the theory I prefer, a particularist one based on the concept of a higher-order trope. The latter is connected with the theory of truth-makers and avoids ontological commitment to corresponding general objects.

Frege uses Greek letters in two different ways in his Begriffsschrift. One way is the familiar use of bound variables, in conjunction with variable-binding operators, to mark and close argument-places. The other, which is quite unfamiliar, employs letters to mark places for operators to reach into, without thereby closing these places. Frege thereby invents a powerful and compact notation for functional operations which can be recommended even today. His regrettable double use of Greek letters obscured his invention, and this, together with the fact that in the Grundgesetze he no longer has need of function-valued functions, explains why the device was overlooked and has not passed into general use

It is argued that the source of complexity in language is twofold: repetition, and syntactic embedding. The former enables us to return again and again to the same subject across many sentences, and to maintain the coherence of an argument. The latter is governed by two forms of complexification: the functor-argument structure of all languages and the operator-bound-variable mechanism of familiar formal languages. The former is most transparently represented by categorial grammar, and an extension of this can adequately describe the syntax of variable binders. Both developments have roots within the work of the Lvov-Warsaw School.

Although Brentano generally regarded himself as at heart a metaphysician, his work then and subsequently has always been dominated by the Psychology. He is rightly celebrated as the person who reintroduced the Aristotelian-Scholastic notion of intentio back into the study of the mind. Brentano's inspiration was Aristotle's theory of perception in De anima, though his terminology of intentional inexistence was medieval. For the history of the work and its position in his output may I refer to my Introduction to the reprinted English translation. Alongside Aristotle the work shows influences of Descartes, Comte and the British empiricists. The theory of intentionality presented in the Psychology is much less modern and less plausible than almost all recent commentary would have it, and was in any case not where Brentano's main interest lay. Intentionality simply served to demarcate mental phenomena from physical, in Book One, but the main aim was a classification of the mental, outlined in Book Two. Books Three to Five were to have dealt in detail with the three main classes of presentations, judgements and feelings, with the final book considering the metaphysics: mind-body and the immortality of the soul. Brentano's shifting views, recently documented in English with Benito Muller's translation of Descriptive Psychology, a work from the transitional 1890s, made the original plan obsolete. The role of an a priori, philosophical or descriptive psychology, methodologically prior to empirical-experimental genetic psychology, foreshadowed and influenced Husserl's notion of phenomenology, and Brentano's Comtean methodological epoche of desisting from controversial metaphysical statements in favour of an examination of the phenomena likewise presaged Husserl's more ponderous phenomenological reductions. Brentano's other work covers most areas of philosophy, notably ethics, where he upheld a form of a priori intuitionism much admired by G. E. Moore, the philosophy of religion, metaphysics, philosophy of language, deductive and inductive logic, and the history of philosophy. I shall mention just two areas. In his logic lectures from 1866 onwards (a compilation published 1956) Brentano rejected the subject-predicate analysis of simple judgements and proposed instead (for which he apparently secured written assent from Mill) that all judgements are logical compounds of positive and negative existential judgements. For example the universal judgement All men are mortal becomes the negative existential There are no immortal men. On this basis Brentano radically simplified the inference rules of deductive logic. While unlike de Morgan, Frege and others he does not go beyond logic's traditional scope by recognising relations, within its bounds his reformed-term logic is simple, elegant and easily teachable. Some of his ideas in logic influenced the young Husserl. Unfortunately Brentano took against mathematical logic, which he wrongly associated exclusively with Hamilton's confused doctrine of the quantification of the predicate. His inductive logic, which takes up by far the greater part of his logic lectures, remains unresearched to this day.

The University of Warsaw has a splendid modern library with 60,000 m 2 of floor space. It resembles a shopping centre. The long and elegant modern building on ulica Dobra, on the low ground between the old University and the Vistula, was opened in 1998 replacing the previous hopelessly inadequate facilities. It has an imposing sequence of copper-green “great texts” on its front side in Greek, Arabic, Sanskrit, Hebrew, Latin, Polish, music, and mathematics. These are international symbols, posting Warsaw’s claim to international status. But inside, once one has passed the mall -like coffee-shop

Alexius Meinong is one of the foremost, most independent-minded, most distinctive, most misunderstood and most unjustly maligned of all philosophers. He was pilloried by his own teacher Brentano and his one-time admirer Bertrand Russell as what Gilbert Ryle called “perhaps the supreme entity-multiplier in the history of philosophy.” It is often enough to employ the adjective ‘Meinongian’ to cast a philosopher’s views into the outer darkness. But as supreme commentator J. N. Findlay observes, Meinong was a painstakingly careful and methodical thinker, who inched his way forward to his radical ontological views. Meinong maintained a running interest in ethics and value theory, and the subjective experiences of feeling and desire that correlate to these spheres, from his 1894 Psychological-ethical investigations in value theory to his late works Emotional presentation and the posthumous On the foundation of general value theory. In the process he graduated from value subjectivism to value objectivism. In this paper we will survey Meinong’s mature theory of intentionality and its objects, with particular attention to the otherwise neglected dignitatives and desideratives.

Dans cet article, l’auteur présente la théorie bolzanienne du nombre. Il établit, sur la base d’une comparaison avec Frege, que la conception bolzanienne rencontre toutes les exigences d’une telle théorie tout en présentant plusieurs traits originaux, comme par exemple le fait qu’elle s’articule sur la base d’une théorie des « collections » , qui lui confèrent un intérêt philosophique certain. Tout en indiquant au passage un problème inhérent à la notion bolzanienne de Reihe, l’auteur présente la conception bolzanienne des nombres naturels, reconstruit sa théorie des nombres abstraits et montre comment Bolzano est en mesure d’établir le lien entre ces derniers et leur application aux ensembles concrets d’objets.In this article, the author exposes Bolzano’s theory of numbers. He shows, on the basis of a comparison with Frege, that Bolzano’s conception not only meets all the requisites of such a theory but also exhibits original features, such as for instance the fact that it is grounded in a theory of “collections” , which impart it with undeniable philosophical interest. After indicating one problem relating to the Bolzanian notion of a Reihe, the author presents Bolzano’s conception of natural numbers, reconstructs his theory of abstract numbers and expounds the connection between the latter and their application to concrete sets of things