A brief review of the historicalrelation between logic and ontologyand of the opposition between the viewsof logic as language and logic as calculusis given. We argue that predication is morefundamental than membership and that differenttheories of predication are based on differenttheories of universals, the three most importantbeing nominalism, conceptualism, and realism.These theories can be formulated as formalontologies, each with its own logic, andcompared with one another in terms of theirrespective explanatory powers. After a briefsurvey of such a comparison, we argue (...) that anextended form of conceptual realism provides themost coherent formal ontology and, as such, canbe used to defend the view of logic as language. (shrink)

This essay is an attempt to offer at least a partial answer to the question concerning Leibniz's motivation for the need to create a universal language. It is relevant, among other things, due to Leibniz's claim which contradicts the idea of a universal language, in which he clearly stresses that “every language, even the poorest one, can express everything”, as well as owing to Leibniz's historical contribution to the idea of formalization and to the mechanization of the reasoning processes. This (...) paper is also an attempt to reconstruct the paradigm of language research pursued in a specific period of time in 17th century language theory. (shrink)

Leibniz's overall view of the relationship between reasoning and computation is discussed on the basis of two broad claims that one finds in his writings, concerning respectively the nature of human reasoning and the possibility of replacing human thinking by a mechanical procedure. A joint examination of these claims enables one to appreciate the wide scope of Leibniz's interests for mechanical procedures, concerning a variety of philosophical themes further developed both in later logical investigations and in methodological contributions to cognitive (...) psychology. (shrink)

According to the received view (Bocheński, Kneale), from the end of the fourteenth to the second half of nineteenth century, logic enters a period of decadence. If one looks at this period, the richness of the topics and the complexity of the discussions that characterized medieval logic seem to belong to a completely different world: a simplified theory of the syllogism is the only surviving relic of a glorious past. Even though this negative appraisal is grounded on good reasons, it (...) overlooks, however, a remarkable innovation that imposes itself at the beginning of the sixteenth century: the attempt to connect the two previously separated disciplines of logic and mathematics. This happens along two opposite directions: the one aiming to base mathematical proofs on traditional (Aristotelian) logic; the other attempting to reduce logic to a mathematical (algebraical) calculus. This second trend was reinforced by the claim, mainly propagated by Hobbes, that the activity of thinking was the same as that of performing an arithmetical calculus. Thus, in the period of what Bocheński characterizes as ‘classical logic’, one may find the seeds of a process which was completed by Boole and Frege and opened the door to the contemporary, mathematical form of logic. (shrink)

Theories about the ontological structure of the world have generally been described in informal, intuitive terms. This book offers an account of the general features and methodology of formal ontology. The book defends conceptual realism as the best system to adopt based on a logic of natural kinds. By formally reconstructing an intuitive, informal ontological scheme as a formal ontology we can better determine the consistency and adequacy of that scheme.

When I studied the Scriptures then I did not feel as I am writing about them now. They seemed to me unworthy of comparison with the grand style of Cicero (Augustine, III, 5).As for the absurdities which used to offend me in Scripture, … I now looked for their meanings in the depth of mystery (sacramentorum) (Augustine, VI, 5).

When I studied the Scriptures then I did not feel as I am writing about them now. They seemed to me unworthy of comparison with the grand style of Cicero (Augustine, III, 5).As for the absurdities which used to offend me in Scripture, … I now looked for their meanings in the depth of mystery (sacramentorum) (Augustine, VI, 5).

The project, entertained by Leibniz and others, of creating an ideal language to facilitate ratiocination, is investigated in detail. Six possible relations between the ideal language (IL) and the natural language (NL) it replaces are studied. (1) IL says exactly what NL says, but says it much more clearly. (2) IL says exactly what NL says, but does so more economically. (3) IL says exactly what NL says, but does so more succinctly. (4) IL says part of what NL says, (...) and says it more perspicuously. (5) IL says part of what NL says, and says it more perspicuously; moreover, there is an effective procedure for going from NL to IL. (6) IL says everything that NL says, plus some things that NL cannot say. (shrink)

This paper discusses a nowadays completely forgotten 18th century attempt of constructing an artificial universal language in a Kantian framework. I give a brief sketch of this language and then address the continuing philosophical significance of the project, focusing in particular on the notions of predication and the copula and on the problem of psychologism.