Wittgenstein's role was vital in establishing mathematics as one of this century's principal areas of philosophic inquiry. In this book, the three phases of Wittgenstein's reflections on mathematics are viewed as a progressive whole, rather than as separate entities. Frascolla builds up a systematic construction of Wittgenstein's representation of the role of arithmetic in the theory of logical operations. He also presents a new interpretation of Wittgenstein's rule-following considerations - the `community view of internal relations'.

Ante el panorama político doctrinario del siglo XIX caracterizado por dos filosofías opuestas y predominantes, como eran el liberalismo y el socialismo, en el presente artículo se sistematiza, por medio de una reconstrucción histórica y filosófica, la evolución del movimiento político de la Democracia Cristiana en Europa, en particular en Francia y Alemania, a través de las obras y acciones políticas de sus pioneros. Esta corriente ideológica se presenta como una �vía intermedia o alternativa� para un proyecto político fundado sobre (...) una visión cristiana de la vida y del hombre, equidistante de las posiciones del liberalismo y del socialismo radicales. (shrink)

Lex necessitatis vel contingentiae Cet article se propose de reconsidérer de manière critique deux présupposés spécifiques à l’interprétation gilsonienne de Thomas d’Aquin : (i) le fait que, dans l’univers thomasien, tous les étants différents de Dieu soient marqués par une « contingence radicale » ; (ii) l’idée qu’en dernière analyse cette contingence est fondée sur la distinction entre être et essence – et, plus généralement, (iii) la conviction que la conception thomiste de la providence se présente comme une alternative radicale (...) au déterminisme et au nécessitarisme de la tradition gréco-arabe. À cette fin, nous examinerons successivement les points suivants : les significations les plus communes que Thomas confère aux notions de nécessité et de contingence ; le rapport entre fortune, sort et providence ; la réfutation conditionnée du déterminisme astral ; le mode sur lequel la providence dispose les événements nécessaires aussi bien que les événements contingents ; les réactions opposées de Siger de Brabant et de Jean Duns Scot au modèle par lequel Thomas tente de sauver la contingence au sein de l’ordre providentiel ; l’affirmation par Thomas de l’existence de créatures formellement nécessaires. En conclusion, on suggère que Thomas affaiblit certains présupposés fondamentaux de la stratégie anti-déterministe mise en œuvre par Aristote dans le livre VI de la Métaphysique, que l’alternative entre nécessité et contingence ne représente pas chez Thomas le véritable départ entre le créateur et la créature, et que, pour cette raison, la distinction entre être et essence n’a pas pour premier et principal objectif de rendre compte de la contingence de tous les étants créés. (shrink)

The article first of all presents the various implications of conversion for Augustine, highlighting the dynamic aspect of conversion, understanding this process as a constitutive tension of the soul that knows itself and tends towards God, in a movement from exteriority to interiority. Secondly, it highlights how the starting point of conversion is the distancing from God (aversio a Deo). Subsequently, the call (admonitio) that God makes to man to return to his inner self and return to God is pointed (...) out; and finally, the last step of conversio is the return to God (conversio ad Deum). Then it moves from the conversio to the confessio, highlighting the confessio laudis or praise to God for his works, and the confessio peccatis, where man recognises himself as a sinner and in need of God. (shrink)

At the end of the 1960s, in Japan grows up an artistic trend whose theorist, Ufan Lee, attributes the name of Mono-Ha, usually translated as a “school of things”. The theoretical and poetic assumptions of this tendency combine, as the essay intends to demonstrate, concepts and elements drawn from both the zen and the phenomenology, also because of the dialogue that these two models of thought seem to be able to establish. Through the voices of scholars who have dealt with, (...) the essay identifies the similarities between the statements of the Moho-Ha’s artists and Husserl and Heidegger’s thoughts, authors who in the 1960s found great success in Japanese philosophy. (shrink)

The article aims at placing Dietrich of Freiberg’s De origine rerum praedicamentalium in its context, i.e. that of the discussions on the ‘deduction’ of categories and the ontological status of relative predicaments at the end of the 13th century, especially with respect to Henry of Ghent’s position. When Dietrich affirms that some things of first intention are constituted by the intellect, he refers only to the relative categories; as for the natural ‘absolute’ things (res naturae), Dietrich maintains on the contrary (...) that the intellect produces only their quidditative being (i.e. the being they have insofar as they possess a definition). Dietrich’s De origine should therefore be likened more to a new, anti-realistic version of the Liber sex principiorum than to Kant’s Critique of Pure Reason. (shrink)

This volume provides a comprehensive historico-doctrinal analysis of the transformation of the concept of time in the transition from the medieval debate to ...

The philosophy of arithmetic of Wittgenstein's Tractatus is outlined and the central role played in it by the general notion of operation is pointed out. Following which, the language, the axioms and the rules of a formal theory of operations, extracted from the Tractatus, are presented and a theorem of interpretability of the equational fragment of Peano's Arithmetic into such a formal theory is proven.

The development of ideas in Thomas Aquinas's philosophical thinking has been the subject of numerous smaller studies, but no contemporary work in the English-speaking world covers his every single work in chronological order in terms of philosophical development, influences, manuscript evidence, and historical setting. In Thomas Aquinas: A Historical and Philosophical Profile, Pasquale Porro has provided a complete landscape of Thomas's corpus that will give Thomistic scholars and students an invaluable reference point for research, discussion, and debate.

1 Qualche considerazione preliminare È opportuno cominciare citando per intero la sezione 5.1362 del Tractatus, attorno alla quale ruoterà gran parte di ciò che andrò sostenendo: Il libero arbitrio consiste nell’impossibilità di conoscere ora azioni future. Noi le potremmo conoscere solo se la causalità fosse una necessità interiore, come quella della conclusione logica. — La connessione di conoscere e conosciuto è quella della necessità logica. (“A sa che p" è priva di senso, se p è una taut...

A conjecture on the metaphysical nature of Tractatus objects is put forward and its interpretative adequacy is tested. The clarification of the true import of the metaphor of logical space and the recognition of the theoretical role played by Wittgenstein's explicit claim that the emptiness of logical space is conceivable enable us to account for the thesis that objects are the substance of the world. Once objects are identified with those universal abstract entities which are qualia, and complexes or states (...) of affairs with their concrete instances, some statements of the Tractatus become liable to a consistent reading: that objects are colourless ; that space, time and colour are forms of objects ; that Leibniz's Principle of the Identity of Indiscernibles, though still holding for complexes, does not apply to objects . Lastly, it is shown how the interpretation of objects as qualia sheds a vivid light on the theme of the relation between objects and time. (shrink)

Taking its cue from the famous articles in which the Jesuit Marcel Chossat, in the early decades of the last century, was the first to suggest that the doctrine of the real distinction between being and essence should be attributed to Giles of Rome, and not to Thomas Aquinas, the article proposes to consider the Neoplatonic matrix of Giles’ distinction, and to re-examine in more detail the doctrine of participation, which is the real trigger of the controversy between Giles and (...) Henry of Ghent. It suggests that Thomas Aquinas, Henry and Giles all three draw on the Proclean tradition, but each choosing different elements, as attested especially by the different readings of the fourth and ninth proposition of the De causis. Finally, it points out that the purpose of the distinction between being and essence is not at all, in Aquinas, to account for the contingency of creation, but to highlight the superiority of God not only with respect to all that possesses matter, but also to all that possesses only a form, even if intrinsically necessary. The distance between Giles and Aquinas could not be greater in this respect: the Dominican Master is not at all interested in showing the radical contingency of all creatures, including separate substances. On the contrary, insofar as he defends the idea that separate substances, as pure forms, are inseparable from their being, it remains true that one could legitimately speak, with regard to this aspect, of “St Thomas’ Averroism”, as Chossat wanted. (shrink)

Understanding Wittgenstein's Tractatus provides an accessible and yet novel discussion of all the major themes of the Tractatus. The book starts by setting out the history and structure of the Tractatus. It then investigates the two main dimensions of the early Wittgenstein's thought, corresponding to the division between what language can say by means of its propositions and what language can only show. It goes on to discuss picture theory, logical atomism, extensionality, truth-functions and truth-operations, semantics, metalogic and mathematics, solipsism (...) and value, metaphysics, and finally, Wittgenstein's idea of the duty of maintaining silence. Frascolla also proposes a new interpretation of the ontology of the Tractatus. Based on the identification of objects with qualia, the argument put forward in the book challenges the currently prevalent ideas of the ‘New Wittgenstein'. The paradoxical nature of the Tractatus itself, and the theme of "throwing away the ladder", are thus revisited in a new key. _Understanding Wittgenstein's Tractatus_ is essential reading for anyone wishing to further their insight into one of the most influential works of twentieth-century philosophy. (shrink)

Researching for the sources of the Ars geomantiae – the oldest divinatory handbook of Western geomancy, translated from Arabic into Latin by Hugo of Santalla in 12th-century northern Spain – led to a double outcome: on the one hand, it showed the nature of Hugo’s cultural competence, imbued with the texts and scientific knowledge of his time; on the other hand, it revealed a series of historico-philosophical and philological data relating to the appearance of his version. In particular, the analysis (...) of the three explicit sources of the Sayings attributed to Socrates, of the Centiloquium of pseudo-Ptolemy and of the Isagoge ad Techne Galieni of Iohannitius has allowed not only to give a direct insight into the fundamental contribution of Arabic culture in the 12th-century translation of scientific studies, but also to carry out a more certain clarification on the dating of the Ars geomantiae and its placement within the translating activity of the master of Santalla. Finally, the question of the hermeticity of the text, raised by the reference to Enoch, one of the three Hermes of Abu- Ma’šar’s legend, has specified to what extent the Ars geomantiae belongs to the Hermetic tradition. (shrink)