As Roger Ariew shows, one of the most fascinating challenges for the authors trying to create a Cartesian complete course on philosophy was coming up with a Cartesian Logic based on the existing texts of the master. Were the few simple rules from the Discourse on Method the "logic" of Descartes? Were the Rules for the Direction of the Mind "logic"? How can we even have a logic without syllogism? When looking at the authors studied by (...) Ariew one finds that the best that they could come up was adding some Cartesian elements on what remains basically a traditional Aristotelian Logic. It seems that there was no Cartesian Logic after all.I want to show here that Cartesian Logic is something else, not exactly... (shrink)

Among the important conceptual innovations introduced in the second scholasticism era and motivated by theological debates following the Council of Trent were the theories of moral necessity and moral implication. As they were centred upon a view of moral necessity as a form of necessity weaker than physical necessity, and moral implication as weaker than physical implication, some interpretations of moral necessity encouraged the logic of statistical hypotheses and probability. Three branches of this debate are studied in this paper: (...) the explanation of moral necessity in terms of suppositio, the confrontation over the interpretation of moral necessity, and the theory of statistical quantification. (shrink)

Multiple generality has long been known to cause confusion. For example, “Everyone has a donkey that is running” has two readings: either (i) there is a donkey, owned by everyone, and it is running; or (ii) everyone owns some donkey or other, and all such donkeys run. Medieval logicians were acutely aware of such ambiguities, and the logical problems they pose, and sought to sort them out. One of the most ambitious undertakings in this regard is a pair of massive (...) diagrams (magnae figurae) which map out the logical interrelations of two sets of doubly-general forms. These appear in a fourteenth-century MS of John Buridan’s Summulae de Propositionibus. In this paper, I present these diagrams, and determine the truth conditions of their different forms. To that end, I have developed a bespoke system of diagrams to display their truth conditions. As we will see, such forms present significant difficulties for an all-encompassing account of the role form plays in logic. Accordingly, they can tell us important things about the role logical form plays in Buridan’s account of logical foundations. (shrink)

1. This paper addresses the development of mutual relations between two sets of ideas in scholastic logic. First, consider the following statements: (1) It is impossible to encounter a chimera.(2)...

The seventeenth century can be viewed as an era of (closely related) innovation in the formal and natural sciences and of paradigmatic diversity in philosophy (due to the coexistence of at least the humanist, the late scholastic, and the early modern tradition). Within this environment, the present study focuses on scholastic logic and, in particular, syllogistic. In seventeenth-century scholastic logic two different approaches to logic can be identified, one represented by the Dominicans Báñez, Poinsot, (...) and Comas del Brugar, the other represented by the Jesuits Hurtado, Arriaga, Oviedo, and Compton. These two groups of authors can be contrasted in three prominent features. First, in the role of the theory of validity, which is either a common basis for all particular theories (in this case, sentential logic and syllogistic), or a set of observations regarding a particular theory (in this case, syllogistic). Second, in the view of syllogistic, which is either an implication of a general theory of validity and a semantics of terms, or an algebra of structured objects. Third, in the role of the scholastic analysis of language in terms ofsuppositio, which either is a semantic underpinning of syllogistic, or it is replaced by a semantics of propositions. (shrink)

This paper investigates the reason why, in the tradition of Western philosophy, a logic of relations was developed only in the second half of the nineteenth century. To this end, it moves along two different but interconnected paths: on the one hand, it attempts to reconstruct the main views concerning the ontology of relations during the middle ages; on the other, it focuses on the treatment of so-called oblique terms in the logical works of some preeminent authors belonging to (...) the scholastic and late-scholastic tradition. From the ontological point of view, realists and nominalist both denied that polyadic expressions of the language signify polyadic properties in the world extra. Some authors, such as Peter Auriol, claimed that polyadic expressions signify something merely mental, thus recognizing, even though in a limited ontological domain, the existence of full-fledged relations, that is, of ‘things’ simultaneousl... (shrink)

There is a well-documented paradigm-shift in eighteenth century Jesuit philosophy and science, at the very least in Central Europe: traditional scholastic version(s) of Aristotelianism were replaced by early modern rationalism (Wolff's systematisation of Leibnizian philosophy) and early modern science and mathematics. In the field of probability, this meant that the traditional Jesuit engagement with probability, uncertainty, and truthlikeness (in particular, as applied to moral theology) could translate into mathematical language, and can be analysed against the background of the accounts (...) of probability, pre-mathematical Jesuit logic, Wolff's conceptual analysis, and Bernoullian mathematisation. The works of two Jesuit philosophers, Berthold Hauser and Sigismund Storchenau, can be related to this context. The core of their logic of (epistemic) probability is the account of negation (or ‘contradiction’) and implication (or ‘argument’), in particular, the algorithms for computing the reliability of one piece of evidence when compared to the respective counter-evidence and for computing the probability of a conclusion given the probability of its premises. (shrink)

This chapter begins with a discussion of humanist criticisms of scholastic logic. It then discusses the evolution of the scholastic tradition and the influence of Renaissance Aristotelianism, Descartes and his influence, the Port-Royal Logic, the emergence of a logic of cognitive faculties, logic and mathematics in the late 17th century, Gottfried Wilhelm Leibniz's role in the history of formal logic, and Kant's influence on logic.

How are we to understand the talk about properties of structures the existence of which is conditional upon the assumption of the reality of those structures? Mathematics is not about abstract objects, yet unlike fictionalism, modal-structuralism respects the truth of theorems and proofs. But it is nominalistic with respect to possibilia. The problem is that, for fear of reducing possibilia to actualities, the second-order modal logic that claims to axiomatise modal existence has no real semantics. There is no cross-identification (...) of higher-order mathematical entities and thus we cannot know what those entities are. I suggest that a scholastic notion of realism, interspersed with cross-identification of higher-order entities, can deliver the semantics without collapse. This semantics of modalities is related to Peirce's logic and his pragmaticist philosophy of mathematics. (shrink)

Aristotle divided arguments that persuade into the rhetorical (which happen to persuade), the dialectical (which are strong so ought to persuade to some degree) and the demonstrative (which must persuade if rightly understood). Dialectical arguments were long neglected, partly because Aristotle did not write a book about them. But in the sixteenth and seventeenth century late scholastic authors such as Medina, Cano and Soto developed a sound theory of probable arguments, those that have logical and not merely psychological force (...) but fall short of demonstration. Informed by late medieval treatments of the law of evidence and problems in moral theology and aleatory contracts, they considered the reasons that could render legal, moral, theological, commercial and historical arguments strong though not demonstrative. At the same time, demonstrative arguments became better understood as Galileo and other figures of the Scientific Revolution used mathematical proof in arguments in physics. Galileo moved both dialectical and demonstrative arguments into mathematical territory. (shrink)

The idea that the Leviathan frontispiece offers a visual summary of the contents of the work is widespread. However, the analysis of the frontispiece often under-explores Leviathan's text or leaves certain iconographic elements aside. In discussions of the Scholastics ‘Dilemma’ emblem, for instance, the image is commonly reduced to a representation of ‘logic’ or ‘scholasticism’, leaving aside the intricate interrelationship between the objects present in the image and their connection with the content of the book. This paper argues that (...) this image helps understanding Hobbes’ critique of Scholastic doctrines and their political effects in Leviathan. For Hobbes, these supposedly pure philosophical concepts either in logic (trident of the ‘Syllogism’) or metaphysics (‘Real/Intentional’ bident) hide a central part of Scholastic thought: a ‘seditious’ political conception claiming that the Pope has an indirect right to temporal power in affairs concerning spiritual matters theory (‘Spiritual/Temporal’ and ‘Direct/Indirect’ bidents). The Scholastic model made the common people believe that the Pope would have at least as much authority as the Sovereign. When faced with the choice between obeying either the Pope or their Civil Sovereign the subjects would find themselves in a dangerous ‘Dilemma’. (shrink)

The book contains a systematical and very accurate introduction into the scholastic philosophy. It begins with part one containing logic and dialectic. Part two deals with metaphysics and ontology. Part three examines cosmology, followed by the fourth part which embraces rational psychology. Part five deals with natural theology. In spite of its systematic architecture the book exemplifies the skill of the author to write a very comprehendible text that can be read with profit by undergraduates.

How are we to understand the talk about properties of structures the existence of which is conditional upon the assumption of the reality of those structures? Mathematics is not about abstract objects, yet unlike fictionalism, modal-structuralism respects the truth of theorems and proofs. But it is nominalistic with respect to possibilia. The problem is that, for fear of reducing possibilia to actualities, the second-order modal logic that claims to axiomatise modal existence has no real semantics. There is no cross-identification (...) of higher-order mathematical entities and thus we cannot know what those entities are. I suggest that a scholastic notion of realism, interspersed with cross-identification of higher-order entities, can deliver the semantics without collapse. This semantics of modalities is related to Peirce's logic and his pragmaticist philosophy of mathematics. (shrink)

The rosy dawn of my title refers to that optimistic time when the logical concept of a natural kind originated in Victorian England. The scholastic twilight refers to the present state of affairs. I devote more space to dawn than twilight, because one basic problem was there from the start, and by now those origins have been forgotten. Philosophers have learned many things about classification from the tradition of natural kinds. But now it is in disarray and is unlikely (...) to be put back together again. My argument is less founded on objections to the numerous theories now in circulation, than on the sheer proliferation of incompatible views. There no longer exists what Bertrand Russell called ‘the doctrine of natural kinds’—one doctrine. Instead we have a slew of distinct analyses directed at unrelated projects. (shrink)

PART ONE ELEMENTS OF SCHOLASTIC LOGIC I THE LEGACY OF SCHOLASTIC LOGIC "\ T 7E MAY safely describe the initial scholastic contri- VV bution to logical ...

The demise of the scholastic worldview and the rise of the mechanistic one may give the impression of a parallel demise of the scholastic explanatory framework. In this paper, I argue that this impression is wrong. To this end, I first outline Descartes’ representative and particularly sharp mechanistic criticism of the scholastic notion of explanation. Deploying conceptual machinery from contemporary philosophy of science, I then suggest a reconstruction of the scholastic notion that is immune to Descartes’ (...) criticism. Based on this reconstruction, I reinterpret the dispute between Descartes and the scholastics as one that concerns the extent of two legitimate conceptions of explanation. Finally, I outline a contemporary dispute within cognitive neuroscience that reflects the Cartesian-scholastic one as thus reinterpreted, thereby showing that aspects of the world may well require a scholastic-like approach for their explanation. The aim of this paper, then, is to shed light on a most important philosophical-cum-scientific historical controversy from a modern perspective, but also to highlight the deep historical roots of a related contemporary dispute. Based on this, the paper also seeks to draw a substantial philosophical conclusion concerning the issue under dispute in both controversies. (shrink)

Excerpt from Lessons in Logic The chief need of the teacher of logic in our high-schools and colleges is a text-book which will meet the peculiar requirements of the classroom. Many of the text-books now in use are written by men whose theory of the nature and value of knowledge, influenced as it is by false philosophical principles, is distrusted by the teacher who uses the books, and is not unlikely to upset the minds of the pupils. Others, (...) while written on the soundest philosophical principles, take little or no account of pedagogical methods, and present the theory of logic without sufficient regard for the difficulties which beset beginners in this study. The present text-book aims at supplying both these defects. It is based on the traditional scholastic theory of knowledge, and, wherever it touches on philosophical principles, the principles which it invokes in justification of the rules of logic are those of scholastic psychology and metaphysics. It aims at removing, as far as is possible, the technical difficulties of the study of logic, and tries to approach the problems of logic by the route which extended experience in the classroom has proved to be the easiest. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)

I. General introduction to philosophy, by Cardinal Mercier. Cosmology, by D. Nys. Psychology, by Cardinal Mercier. Criteriology, by Cardinal Mercier. General metaphysics; or, Ontology, by Cardinal Mercier. Appendix to Cosmology, by D. Nys.--II. Natural theology; or, Theodicy, by Cardinal Mercier. Logic, by Cardinal Mercier. Ethics: General ethics, by A. Arendt (based on Cardinal Mercier's notes); Special ethics, by J. Halleux. History of philosophy, by M. de Wulf. Synopsis in the form of the principal theses. Glossary of scholastic terms, (...) by G. Simons. (shrink)

Cardinal Mercier's A Manual of Modern Scholastic Philosophy is a standard work, prepared at the Higher Institute of Philosophy, Louvain, mainly for the use of clerical students in Catholic seminaries. Though undoubtedly elementary, it contains a clear, simple, and methodological exposition of the principles and problems of every department of philosophy, and its appeal is not to any particular class, but broadly human and universal. Volume I includes a general introduction to philosophy and sections on cosmology, psychology, criteriology, and (...) metaphysics or ontology. Volume II contains sections on natural theology, logic, ethics, and outlines of the history of philosophy. (shrink)

It is not a summary of philosophical problems, which the beginner cannot digest and which may engender in him a spirit of skepticism. For a like reason Cotter does not give an outline of the history of philosophy with the same problems arranged by periods. Instead, he confined himself to a few important data on the principal philosophers of past ages, and the author tried to sketch the intellectual equipment with which the student is supposed to begin philosophy.

This paper addresses the question ‘what is school?’, and argues that the answer to this question has an essential political dimension. I focus on two very different attempts to characterize school – Ivan Illich’s Deschooling Society and Jan Masschelein and Maarten Simons’s In Defence of the School – and demonstrate that both texts miss the political potential which is inherent in school. The two texts are analyzed along two relational axes: relations between school and society, and relations between children and (...) political subjects. Illich rejects children’s de-politicization while accepting the assumption that school operates according to a similar logic as society in general. Masschelein and Simons, on the other hand, advocate a separation between school and society, but also accept the separation of children from politics. I aim to integrate Illich’s analytical categories into Masschelein and Simons’ discussion, in order to mark important directions for political struggles both over and within s... (shrink)

"Logic", one of the central words in Western intellectual history, compre hends in its meaning such diverse things as the Aristotelian syllogistic, the scholastic art of disputation, the transcendental logic of the Kantian critique, the dialectical logic of Hegel, and the mathematical logic of the Principia Mathematica of Whitehead and Russell. The term "Formal Logic", following Kant is generally used to distinguish formal logical reasonings, precisely as formal, from the remaining universal truths based on (...) reason. (Cf. SCHOLZ, 1931). A text-book example of a formal-logical inference which from "Some men are philosophers" and "All philosophers are wise" concludes that "Some men are wise" is called formal, because the validity of this inference depends only on the form ofthe given sentences -in particular it does not depend on the truth or falsity of these sentences. (On the dependence of logic on natural language, English, for example, compare Section 1 and 8). The form of a sentence like "Some men are philosophers", is that which remains preserved when the given predicates, here "men" and "philosophers" are replaced by arbitrary ones. The form itself can thus be represented by replacing the given predicates by variables. Variables are signs devoid of meaning, which may serve merely to indicate the place where meaningful constants (here the predicates) are to be inserted. As variables we shall use - as did Aristotle - letters, say P, Q and R, as variables for predicates. (shrink)

This book deals with a neglected episode in the history of logic and theories of cognition: the way in which conceptions of inference changed during the seventeenth century. The author focuses on the work of Descartes, contrasting his construal of inference as an instantaneous grasp in accord with the natural light of reason, with the Aristotelian view of inference as a discursive process. Gaukroger offers a new interpretation of Descartes`s contribution to the question, revealing it to be a significant (...) advance over humanist and late Scholastic conceptions. He argues that Descartes's account played a pivotal role in the development of our understanding of the nature of inference. (shrink)

The history of modern logic is usually written as the history of mathematical or, more general, symbolic logic. As such it was created by mathematicians. Not regarding its anticipations in Scholastic logic and in the rationalistic era, its continuous development began with George Boole's The Mathematical Analysis of Logic of 1847, and it became a mathematical subdiscipline in the early 20th century. This style of presentation cuts off one eminent line of development, the philosophical development (...) of logic, although logic is evidently one of the basic disciplines of philosophy. One needs only to recall some of the standard 19th century definitions of logic as, e.g., the art and science of reasoning (Whateley) or as giving the normative rules of correct reasoning (Herbart). In the paper the relationship between the philosophical and the mathematical development of logic will be discussed. Answers to the following questions will be provided: 1. What were the reasons for the philosophers' lack of interest in formal logic? 2. What were the reasons for the mathematicians' interest in logic? 3. What did "logic reform" mean in the 19th century? Were the systems of mathematical logic initially regarded as contributions to a reform of logic? 4. Was mathematical logic regarded as art, as science or as both? (shrink)

From a general semantic point of view, Thomas Bricot and John Mair are proponents of the solution to semantic paradoxes based on appreciation of the contextuality of truth, who differ in their approach to the relations of logical consequence and contradiction. The core of the study is the analysis of Mair's criticism of Bricot presented in the sixth quaestio of his Tractatus insolubilium where the consequences of non-compositional semantics for the concepts of synonymy and logical form are addressed. The polemic (...) between John Mair and Thomas Bricot is construed as having immediate consequences for research in the area of non-compositional semantics. (shrink)

This is a sequel to the author's The Language and Logic of the Bible: The Earlier Middle Ages. The period of the reformation saw immense changes of approach to the study of the Bible, which in turn brought huge consequences. This book, seeking to show the direction of endeavour of such study in the last medieval centuries, examines the theory of exegesis, practical interpretation, popular Bible study and preaching, and looks especially at the areas of logic and language (...) in which the scholars of the period had considerable expertise. The condemnation of the scholastics has tended to sink with them a proper recognition of what they achieved. In looking forward to the reformation, Dr Evans demonstrates a greater continuity of attitude than has often been allowed and describes how the enquiries of later medieval scholars opened out into the explorations of the sixteenth century made by Protestant and Roman Catholic thinkers alike. (shrink)

This article provides an analysis of Johannes Clauberg’s intentions in writing his Logica vetus et nova (1654, 1658). Announced before his adherence to Cartesianism, his Logica was eventually developed in order to provide Cartesian philosophy with a Scholastic form, embodying a complete methodology for the academic disciplines based on Descartes’ rules and a medicina mentis against philosophical prejudices. However, this was not its only function: thanks to the rules for the interpretation of philosophical texts it encompassed, Clauberg’s Logica was (...) meant to provide a general hermeneutics designed to put an end to the quarrels raised by the dissemination of Cartesianism. Such quarrels, according to Clauberg, were caused by the misinterpretation of Descartes’ texts in Revius’ Methodi cartesianae consideratio theologica (1648) and Statera philosophiae cartesianae (1650) and in Lentulus’ Nova Renati Descartes sapientia (1651), which criticized the apparent lack of a logical theory in Descartes’ philosophy and its supposed inconsistencies. Clauberg answers their criticisms by giving a clear account of Descartes’ logical theory and by undermining the interpretative criteria they assumed, in light of a general theory of error. Polemics over Cartesian philosophy, in this way, favored the development of a comprehensive Cartesian methodology for academic disciplines and of the first hermeneutics for philosophical texts. (shrink)

This Handbook documents the main trends in current research between logic and language, including its broader influence in computer science, linguistic theory and cognitive science. The history of the combined study of Logic and Linguistics goes back a long way, at least to the work of the scholastic philosophers in the Middle Ages. At the beginning of this century, the subject was revitalized through the pioneering efforts of Gottlob Frege, Bertrand Russell, and Polish philosophical logicians such as (...) Kazimierz Ajdukiewicz. Around 1970, the landmark achievements of Richard Montague established a junction between state-of-the-art mathematical logic and generative linguistic theory. Over the subsequent decades, this enterprise of Montague Grammar has flourished and diversified into a number of research programs with empirical and theoretical substance. This appears to be the first Handbook to bring logic-language interface to the fore. Both aspects of the interaction between logic and language are demonstrated in the book i.e. firstly, how logical systems are designed and modified in response to linguistic needs and secondly, how mathematical theory arises in this process and how it affects subsequent linguistic theory. The Handbook presents concise, impartial accounts of the topics covered. Where possible, an author and a commentator have cooperated to ensure the proper breadth and technical content of the papers. The Handbook is self-contained, and individual articles are of the highest quality. (shrink)

'This sentence is false' - is that true? The 'Liar paradox' embodied in those words exerted a particular fascination on the logicians of the Western later Middle Ages, and, along with similar 'insoluble' problems, forms the subject of the first group of articles in this volume. In the following parts Professor Spade turns to medieval semantic theory, views on the relationship between language and thought, and to a study of one particular genre of disputation, that known as 'obligationes'. The focus (...) is on the Oxford scholastics of the first half of the 14th century, and it is the name of William of Ockham which dominates these pages - a thinker with whom Professor Spade finds himself in considerable philosophical sympathy, and whose work on logic and semantic theory has a depth and richness that have not always been sufficiently appreciated. (shrink)

You ask if metaphysics is possible after modernity, or after Barth and Wittgenstein and Derrida and the critique of foundationalism? May I invite you, by way of response, to listen in on a conversation? It is a dialogue between what I will call a postcritical philosopher ("P") and a postcritical scriptural theologian —— I'll label the latter a "textualist" ("T"). What I mean by "postcritical" would be displayed as the pattern of inquiry traced by this dialogue. I take the term (...) "postcritical" from George Lindbeck, whose theological work is described by his commentators as more properly "textualist" rather than "philosophic." I believe my usage is, however, true to Lindbeck's discourse. This means that one of the arguments of this essay is that there is a mode of philosophic inquiry proper to the postcritical orientation in theology that we may associate with such Christian theologians as Hans Frei, etc., as well as Lindbeck. A second argument, offered indirectly, is that there is a family of Jewish thinkers whose work may also be labeled "postcritical" on the model of these Christian thinkers, and that this Jewish postcritical theology would also be displayed in dialogues between philosophic and textualist tendencies. A third argument is that, if we listen in on the philosophic side of any of these dialogues, we will hear a postcritical philosophy. By philosophy, I mean primarily logic, defined as an inquiry that examines problematic rules of reasoning and recommends testable ways of correcting them. Secondarily, philosophy includes metaphysics, defined as an inquiry that, for the sake of assuring people about the reliability of a given logic, constructs pictures of the world whose existence would warrant this logic. We need not assume either that logic and metaphysics can be conducted only in the manner of modern and scholastic foundationalism, or that non-foundationalist theology must be "textualist" in a manner that excludes any philosophic generalization. I will argue that there are, indeed, non-foundationalist ways of conceiving of both logical and metaphysical inquiry and that these ways contribute to the dialogic activity of postcritical inquiry. (shrink)

The aim of the article is to present the results of research conducted as part of the project Polonica Philosophica Orientalia: namely, to give an overview of the most important logical and metaphysical treatises written in Vilnius between the sixteenth and eighteenth centuries that are currently accessible in some of the Vilnius libraries. Although the research focused primarily on the Vilnius University Library and its resources, some interesting results were also obtained while researching the Wróblewski Library of the Lithuanian Academy (...) of Sciences. Most sources containing information about the state and the nature of metaphysical and logical investigations conducted in Vilnius during the period discussed are the manuscripts of lecture courses delivered for the students of Vilnius University and other schools. The analysis of those manuscripts has revealed a strong and long-lasting influence of scholastic Aristotelianism in both logic and metaphysics. Namely, up to the mid-eighteenth century, the main questions discussed in logic were Aristotelian syllogism, the square of opposition and the medieval topics of semantical antinomies, modalities and supposition theory, while investigations into metaphysical issues were limited to commentaries on Aristotle’s theoretical treatises without seriously questioning their main theses. In the second part of the eighteenth century, a moderate shift towards subjectivism and psychologism was observed in both of these disciplines. This was influenced by modern epistemologists. Logicians and metaphysicians of Vilnius University developed an interest in the topics of human understanding and cognition. However, this shift did not take a radical form – while the majority of eighteenth-century authors sought a combination of scholastic and modern ideas, a critical and even hostile stance towards modern philosophy and science is still noticeable in many of the analysed sources. An overview of the research supported by statistical data is followed by some preliminary remarks on how and where investigation of this topic might be continued in the future. (shrink)

The species of metaphysical speculation known as ontology is as old as philosophy itself. It is encountered in one form or another in all climes and times. In Western philosophy, it is already cultivated in a fairly sophisticated form in Parmenides: Being is positive and does not admit to the possibility of negation. Being is a plenum, etc. The problem which exercised the mind of Parmenides has lost something of its vitality in our time but it has recognizably survived in (...) such contemporary questions as “Are there negative facts?” At the present day, however, the liveliest issues of ontology revolve round a topic which has a different, if no less celebrated, ancestry. It is the problem of universals which, much discussed by Plato, was taken up and made a principal concern by the scholastics. It is being canvassed again in recent times under the heading of abstract entities. What I wish to investigate is the connection between the metaphysics of abstract entities and the discipline of logic as developed in the modern era. (shrink)

The aim of this paper will be to show how significant the logical theories of judgement which were worked out at the end of the nineteenth century have been for the ontological thought during the twentieth century. Against the classical - Aristotelian and Scholastic - analysis of predicative judgement, Franz Brentano on one hand and Gottlob Frege on the other hand have leveled two different criticisms, which then generated two radically divergent ontological paradigms. On one side, despite Brentano’s own (...) nominalistic stands, there was a tremendous extension of the general category of “object” as well as of the notion of “being” with, as a consequence, the exceptionnally luxuriant ontologies of Brentano’s heirs. On the other side, notwithstanding Frege’s own Platonistic affinities, there was a drastic deflation of the realm of objects to the benefit of the realm of concepts taken as classifying functions, and therefore a strong nominalistic trend among Frege’s heirs. The development of quantified modal logics at the middle of twentieth century however forced contemporary ontology to reconsider this simple alternative in order to give place to some hybrid entities such as individual concepts or other kinds of “intensional objects”. (shrink)