This is a major work by Ian Maclean exploring the foundations of learning in the Renaissance. Logic, Signs and Nature offers a profoundly learned, compelling and original account of the range of what was thinkable and knowable by learned medics of the period c.1530-1630. This is a study of great significance to the history of medicine, as well as the history of European ideas in general.

This article sets out to investigate aspects of the uptake of Renaissance law and medicine from some of the logical and natural-philosophical components of the university arts course. Medicine is shown to have a much laxer operative logic than law, reflecting its commitment to the theory of idiosyncrasy as opposed to the demands made upon the law by the need for a uniform application of justice. Symptomatic of the different uptake arc the contrasting meanings of "regulariter" and "generaliter" (...) in the two disciplines. Whereas the law treats the rule as inviolable and the exception as only valid if made explicit in due legal form, medicine is able to conceive of a nature as a field of knowledge broader than that encompassed by its rules of art. Both law and medicine approach evidence. (shrink)

This article studies the advances made in the logic of Renaissance physiognomy from the state of the subject in antiquity and the Middle Ages. The properties and accidents of the human body are investigated in the context of the signs selected by physiognomers, whether univocal or in syndromes, strong or weak in character, negative or positive, consistent with each other or contradictory. When these signs are translated into propositions, the construction of argument which flows from them is shown (...) to ut plurimum reasoning, in which an element of quasi-mathematical proto-probability and hermeneutical thinking may be detected. These allow the question "is x more likely to be the case than y or z?" to be answered through a variety of procedures. Renaissance physiognomy is shown to be a discipline in which a novel combination of rational procedures come together, and a site of conceptual change in respect of property and accidence. (shrink)

"At the end of the fourteenth century there were roughly three categories of work available to those studying logic. The first category is that of commentaries on Aristotle's 'Organon'. The most comprehensive of these focussed either on the books of the Logica Vetus, which included Porphyry's Isagoge along with the Categories and De Interpretatione; or on the books of the Logica Nova, the remaining works of the 'Organon' which had become known to the West only during the twelfth century. (...) In addition there were, of course, numerous commentaries on individual books of the.. (shrink)

Language, vernacular and philosophy -- Sperone Speroni between language and logic -- Benedetto Varchi and the idea of a vernacular logic (1540) -- Antonio Tridapale and the first vernacular logic (1547) -- Nicolo Massa's logic for natural philosophy (1549) -- Alessandro Piccolomini's instrument of philosophy (1551).

The renaissance of epistemology between the two world wars forms a bridge between early modern and contemporary philosophy of knowledge. This paper traces the resurgence of interest in epistemology at the turn of the century, as a reaction against the nineteenth-century development of Neo-Kantian and Neo-Hegelian idealism, through the interwar renaissance of epistemology, prompted by major advances in mathematics, logic, and physics, and its ultimate transformation from a theory of ideas and judgement into a theory of propositional (...) attitudes, sentences, and meanings. (shrink)

This book treats ancient logic: the logic that originated in Greece by Aristotle and the Stoics, mainly in the hundred year period beginning about 350 BCE. Ancient logic was never completely ignored by modern logic from its Boolean origin in the middle 1800s: it was prominent in Boole’s writings and it was mentioned by Frege and by Hilbert. Nevertheless, the first century of mathematical logic did not take it seriously enough to study the ancient (...) class='Hi'>logic texts. A renaissance in ancient logic studies occurred in the early 1950s with the publication of the landmark Aristotle’s Syllogistic by Jan Łukasiewicz, Oxford UP 1951, 2nd ed. 1957. Despite its title, it treats the logic of the Stoics as well as that of Aristotle. Łukasiewicz was a distinguished mathematical logician. He had created many-valued logic and the parenthesis-free prefix notation known as Polish notation. He co-authored with Alfred Tarski’s an important paper on metatheory of propositional logic and he was one of Tarski’s the three main teachers at the University of Warsaw. Łukasiewicz’s stature was just short of that of the giants: Aristotle, Boole, Frege, Tarski and Gödel. No mathematical logician of his caliber had ever before quoted the actual teachings of ancient logicians. -/- Not only did Łukasiewicz inject fresh hypotheses, new concepts, and imaginative modern perspectives into the field, his enormous prestige and that of the Warsaw School of Logic reflected on the whole field of ancient logic studies. Suddenly, this previously somewhat dormant and obscure field became active and gained in respectability and importance in the eyes of logicians, mathematicians, linguists, analytic philosophers, and historians. Next to Aristotle himself and perhaps the Stoic logician Chrysippus, Łukasiewicz is the most prominent figure in ancient logic studies. A huge literature traces its origins to Łukasiewicz. -/- This Ancient Logic and Its Modern Interpretations, is based on the 1973 Buffalo Symposium on Modernist Interpretations of Ancient Logic, the first conference devoted entirely to critical assessment of the state of ancient logic studies. (shrink)

The renaissance of epistemology between the two world wars forms a bridge between early modern and contemporary philosophy of knowledge. This paper traces the resurgence of interest in epistemology at the turn of the century, as a reaction against the nineteenth-century development of Neo-Kantian and Neo-Hegelian idealism, through the interwar renaissance of epistemology, prompted by major advances in mathematics, logic, and physics, and its ultimate transformation from a theory of ideas and judgement into a theory of propositional (...) attitudes, sentences, and meanings. (shrink)

For humanists the perfect language was a revived Classical Latin. For scholastics it was a practical logic adapted to the needs of education. Though they have long been portrayed as arch rivals, Alan Perreiah here argues that humanists and scholastics were working in complementary ways toward some of the same goals: most significantly, the early modern search for the perfect language. The study advances research on language pedagogy in the Renaissance by clarifying the connections between truth and translation.

In lieu of an abstract, here is a brief excerpt of the content:The Renaissance Project of Knowing:Lorenzo Valla and Salvatore Camporeale’s Contributions to the Querelle Between Rhetoric and PhilosophyMelissa Meriam BullardThe Journal of the History of Ideas has published two symposia devoted to examinations of Lorenzo Valla's place in Renaissance intellectual history, both of which sought to situate Valla in his appropriate contemporary context and to assess his contributions to developing tools of rhetorical analysis and textual criticism in (...) the fifteenth century. In the first JHI debate published in 1989, Salvatore Camporeale's foundational reexamination of Valla's views on language, rhetoric, and theology was frequently cited; and his assessment served as a fulcrum in the disparate interpretations offered by John Monfasani and by Richard Waswo and Sarah Gravelle.1 In the second forum published in 1996, Camporeale was invited to contribute an essay on Valla's famous critique of the false Donation of Constantine; therein the Roman humanist had appealed for Christian renewal inspired by an early Christianity, unburdened by medieval ontological discourse, and seeking to subvert the imperial (Constantinian) model of the church that had dominated since the fourth century.2More than half a century later in the early sixteenth century, reform-minded intellectuals such as Erasmus, More, Luther, and Melanchthon picked up Valla's pleas and used his insights and textual criticism to buttress their own calls for ecclesiastical reform, challenging the claims to authority of the [End Page 477] Roman church. But despite the popularity among the reformers of Valla's two most noted and provocative texts, his rhetorical and philological refutation of the Donation of Constantine and his annotations for a new translation of the New Testament from Greek, his legacy gradually faded from prominence after the sixteenth century. By then when the Protestants' split from Rome had become an accepted reality, and their battle to achieve a place in a divided Christian world won, the reformers' use of Valla's arguments no longer seemed so controversial. For its part, Catholic discourse in the Tridentine era had reverted to reassertions of papal hierarchy along the Constantinian model. Valla's other contributions to understanding rhetorical hermeneutics and philosophy gradually receded, especially from Anglophone intellectual consciousness and in some quarters even from the metanarratives of intellectual history.3 His legacy frequently goes unacknowledged in reconstructions of antecedents to modern intellectual history and philosophy despite the late twentieth century's lingering love affair with philosophies of language and the stress on contextualization pioneered by Heidegger and Wittgenstein, which share many of the same concerns Valla had plumbed for his day.4 The present group of essays attempts to address that lacuna in various ways, by revisiting Valla's contributions to the philosophy of language, by casting his story forward to understand the nature of his legacy beyond the Renaissance and Reformation, and by exploring why his and other Renaissance humanists' contributions to the project of human knowledge have been minimized or overlooked in more recent times. It is the contention of all the contributors that Valla, and to wit Camporeale's Valla, richly deserves our attention and that his overlooked legacy endures.Beginning in the 1970s Salvatore Camporeale, the leading modern Valla specialist, wrote and lectured widely to highlight the Roman humanist's place in the history of thought and to discuss him in an idiom reflective of modern sensitivities to issues of rhetoric, philosophy, language, and historical context.5 Camporeale's massive tome, Lorenzo Valla. Umanesimo e teologia (Florence, 1972) has only slowly made its fortune beyond Italy and Europe. The book, densely written and daunting for its close philological examination of variant texts and datings, has been more often consulted than read outside [End Page 478] the select circle of Valla devotees, this despite Eugenio Garin's clearly stated appreciation in his presentation of the volume. Garin lauded the depth and precision of Camporeale's scholarship and the lucidity with which he brought into focus the rich fabric of fifteenth-century theological disputes that engaged Valla and that invested his understanding of language and philology.6 Through careful and insightful analysis, Camporeale not only established Quintilian as the major inspiration behind Valla's rhetorical theory, but, logical step by logical step, he... (shrink)

Temporal Logic: From Ancient Ideas to Artificial Intelligence deals with the history of temporal logic as well as the crucial systematic questions within the field. The book studies the rich contributions from ancient and medieval philosophy up to the downfall of temporal logic in the Renaissance. The modern rediscovery of the subject, which is especially due to the work of A. N. Prior, is described, leading into a thorough discussion of the use of temporal logic (...) in computer science and the understanding of natural language. Temporal Logic: From Ancient Ideas to Artificial Intelligence thus interweaves linguistic, philosophical and computational aspects into an informative and inspiring whole. (shrink)

Logical reflection in early modern philosophy (EMP) is marked by the instability of the period, although it is more lasting (the Port-Royal Logic was nevertheless used as a handbook in philosophy courses until the end of the nineteenth century). It started in the sixteenth century and ended in the nineteenth century, a period of 300 years during which there were deep transformations in the conceptions of authority and scientific method. For the history of twentieth-century philosophy, it was the period (...) of “classical logic,” which lasted from the Renaissance to the linguistic turn conducted by Gottlob Frege. The period was used to be thought of as centuries of little or no original contribution to logic, in which conceptions of logic were tainted by rhetoric, epistemology, and psychologism in the worst sense (Kneale and Kneale 1962; Michael 1997). From the last decades of the twentieth century, however, scholars began to regard this period more accurately with respect to reflection and changes in logic and semantics. It has recently become a promising field for historical and conceptual research; today we can say that the legacy of early modern logical reformism has a philosophical, logical, and semantic value in itself. (shrink)

HISTORICAL INTRODUCTION Although many of the details of the development of logic in the Middle Ages remain to be filled in, it is well known that between ...

The Legacy of Aristotelian Enthymeme provides a historical-logical analysis of Aristotle's rhetorical syllogism, the enthymeme, through its Medieval and Renaissance interpretations. Bringing together notions of credibility and proof, an international team of scholars highlight the fierce debates around this form of argumentation during two key periods for Aristotle's beliefs.Reflecting on medieval and humanist thinkers, philosophers, poets and theologians, this volume joins up dialectical and rhetorical argumentation as key to the enthymeme's interpretation and shows how the enthymeme was the source (...) of a major interpretive conflict. As a method for achieving the standards for proof and credibility that persist across diverse fields of study today including the law, politics, medicine and morality, this book takes in Latin and Persian interpretations of the enthymeme and casts contemporary argumentation in a new historical light. (shrink)

The mnemonic arts and the idea of a universal language that would capture the essence of all things were originally associated with cryptology, mysticism, and other occult practices. And it is commonly held that these enigmatic efforts were abandoned with the development of formal logic in the seventeenth century and the beginning of the modern era. In his distinguished book, Logic and the Art of Memory Italian philosopher and historian Paolo Rossi argues that this view is belied by (...) an examination of the history of the idea of a universal language. Based on comprehensive analyses of original texts, Rossi traces the development of this idea from late medieval thinkers such as Ramon Lull through Bruno, Bacon, Descartes, and finally Leibniz in the seventeenth century. The search for a symbolic mode of communication that would be intelligible to everyone was not a mere vestige of magical thinking and occult sciences, but a fundamental component of Renaissance and Enlightenment thought. Seen from this perspective, modern science and combinatorial logic represent not a break from the past but rather its full maturity. Available for the first time in English, this book (originally titled Clavis Universalis ) remains one of the most important contributions to the history of ideas ever written. In addition to his eagerly anticipated translation, Steven Clucas offers a substantial introduction that places this book in the context of other recent works on this fascinating subject. A rich history and valuable sourcebook, Logic and the Art of Memory documents an essential chapter in the development of human reason. (shrink)

Josse Clichtove represents a turning point in the history of disputation, for he combines one of the earliest accounts of the doctrinal disputation with one of the latest accounts of the obligational disputation. This paper describes the nature and significance of the theories that he offered. Particular attention is paid to the doctrines of truth, necessity and possibility which lie behind his doctrines; and also to the light which his work throws on the aims and nature of an obligational disputation.

Temporal Logic: From Ancient Ideas to Artificial Intelligence deals with the history of temporal logic as well as the crucial systematic questions within the field. The book studies the rich contributions from ancient and medieval philosophy up to the downfall of temporal logic in the Renaissance. The modern rediscovery of the subject, which is especially due to the work of A. N. Prior, is described, leading into a thorough discussion of the use of temporal logic (...) in computer science and the understanding of natural language. Temporal Logic: From Ancient Ideas to Artificial Intelligence thus interweaves linguistic, philosophical and computational aspects into an informative and inspiring whole. (shrink)

Logic and Knowledge -/- Editor: Carlo Cellucci, Emily Grosholz and Emiliano Ippoliti Date Of Publication: Aug 2011 Isbn13: 978-1-4438-3008-9 Isbn: 1-4438-3008-9 -/- The problematic relation between logic and knowledge has given rise to some of the most important works in the history of philosophy, from Books VI–VII of Plato’s Republic and Aristotle’s Prior and Posterior Analytics, to Kant’s Critique of Pure Reason and Mill’s A System of Logic, Ratiocinative and Inductive. It provides the title of an important (...) collection of papers by Bertrand Russell (Logic and Knowledge. Essays, 1901–1950). However, it has remained an underdeveloped theme in the last century, because logic has been treated as separate from knowledge. -/- This book does not hope to make up for a century-long absence of discussion. Rather, its ambition is to call attention to the theme and stimulating renewed reflection upon it. The book collects essays of leading figures in the field and it addresses the theme as a topic of current debate, or as a historical case study, or when appropriate as both. Each essay is followed by the comments of a younger discussant, in an attempt to transform what might otherwise appear as a monologue into an ongoing dialogue; each section begins with an historical essay and ends with an essay by one of the editors. -/- Carlo Cellucci is Emeritus Professor of Philosophy at the University of Rome ‘La Sapienza,’ Italy. He is currently completing a book entitled, Remaking Logic: What is Logic Really? -/- Emily Grosholz is Professor of Philosophy at the Pennsylvania State University, USA. She is the author of Representation and Productive Ambiguity in Mathematics and the Sciences (Oxford University Press, 2007). -/- Emiliano Ippoliti is a Research Fellow at the University of Rome ‘La Sapienza,’ Italy. His main interests are heuristics, the logic of discovery, and problem-solving. He is currently working on a book, Ampliating Knowledge: Data, Hypotheses and Novelty. -/- TABLE OF CONTENTS -/- Foreword .................................................................................................... ix Acknowledgements ................................................................................. xxv -/- Section I: Logic and Knowledge -/- Chapter One................................................................................................. 3 The Cognitive Importance of Sight and Hearing in Seventeenthand Eighteenth-Century Logic (Mirella Capozzi) Discussion .............................................................................................. 26 (Chiara Fabbrizi) Chapter Two .............................................................................................. 33 Nominalistic Content (Jody Azzouni) Discussion ............................................................................................... 52 (Silvia De Bianchi) Chapter Three ............................................................................................ 57 A Garden of Grounding Trees (Göran Sundholm) Discussion.......................................................................................... .. 75 (Luca Incurvati) Chapter Four .............................................................................................. 81 Logics and Metalogics (Timothy Williamson) Discussion.......................................................................................... 101 (Cesare Cozzo) Chapter Five ............................................................................................ 109 Is Knowledge the Most General Factive Stative Attitude? (Cesare Cozzo) Discussion.......................................................................................... 117 (Timothy Williamson) Chapter Six .............................................................................................. 123 Classifying and Justifying Inference Rules (Carlo Cellucci) Discussion.......................................................................................... 143 (Norma B. Goethe) -/- Section II: Logic and Science -/- Chapter Seven.......................................................................................... 151 The Universal Generalization Problem and the Epistemic Status of Ancient Medicine: Aristotle and Galen (Riccardo Chiaradonna) Discussion.......................................................................................... 168 (Diana Quarantotto) Chapter Eight........................................................................................... 175 The Empiricist View of Logic (Donald Gillies) Discussion.......................................................................................... 191 (Paolo Pecere) Chapter Nine............................................................................................ 197 Artificial Intelligence and Evolutionary Theory: Herbert Simon’s Unifying Framework (Roberto Cordeschi) Discussion.......................................................................................... 216 (Francesca Ervas) Chapter Ten ............................................................................................. 221 Evolutionary Psychology and Morality: The Renaissance of Emotivism? (Mario De Caro) Discussion.......................................................................................... 232 (Annalisa Paese) Chapter Eleven ........................................................................................ 237 Between Data and Hypotheses (Emiliano Ippoliti) Discussion.......................................................................................... 262 (Fabio Sterpetti) -/- Section III: Logic and Mathematics -/- Chapter Twelve ....................................................................................... 273 Dedekind Against Intuition: Rigor, Scope and the Motives of his Logicism (Michael Detlefsen) Discussion.......................................................................................... 290 (Marianna Antonutti) Chapter Thirteen...................................................................................... 297 Mathematical Intuition: Poincaré, Polya, Dewey (Reuben Hersh) Discussion.......................................................................................... 324 (Claudio Bernardi) Chapter Fourteen ..................................................................................... 329 On the Finite: Kant and the Paradoxes of Knowledge (Carl Posy) Discussion.......................................................................................... 358 (Silvia Di Paolo) Chapter Fifteen ........................................................................................ 363 Assimilation: Not Only Indiscernibles are Identified (Robert Thomas) Discussion.......................................................................................... 380 (Diego De Simone) Chapter Sixteen ....................................................................................... 385 Proofs and Perfect Syllogisms (Dag Prawitz) Discussion.......................................................................................... 403 (Julien Murzi) Chapter Seventeen ................................................................................... 411 Logic, Mathematics, Heterogeneity (Emily Grosholz) Discussion.......................................................................................... 427 (Valeria Giardino) -/- Contributors........................................................................................ ..... 433 Index............................................................................................... ......... 437 -/- Price Uk Gbp: 49.99 Price Us Usd: 74.99. 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The mnemonic arts and the idea of a universal language that would capture the essence of all things were originally associated with cryptology, mysticism, and other occult practices. And it is commonly held that these enigmatic efforts were abandoned with the development of formal logic in the seventeenth century and the beginning of the modern era. In his distinguished book, _Logic and the Art of Memory_ Italian philosopher and historian Paolo Rossi argues that this view is belied by an (...) examination of the history of the idea of a universal language. Based on comprehensive analyses of original texts, Rossi traces the development of this idea from late medieval thinkers such as Ramon Lull through Bruno, Bacon, Descartes, and finally Leibniz in the seventeenth century. The search for a symbolic mode of communication that would be intelligible to everyone was not a mere vestige of magical thinking and occult sciences, but a fundamental component of Renaissance and Enlightenment thought. Seen from this perspective, modern science and combinatorial logic represent not a break from the past but rather its full maturity. Available for the first time in English, this book remains one of the most important contributions to the history of ideas ever written. In addition to his eagerly anticipated translation, Steven Clucas offers a substantial introduction that places this book in the context of other recent works on this fascinating subject. A rich history and valuable sourcebook, _Logic and the Art of Memory_ documents an essential chapter in the development of human reason. (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.

Our usual view of the Renaissance poetic, as we derive it from the explicit statements which we normally cite, sees it primarily as a rhetorical theory which is essentially Platonic in the universal meanings behind individual words, images, or fictions. Accordingly, poetic words, images, or fictions are taken to be purely allegorical, functioning as arbitrary or at most as conventional signs: each word, image, or fiction is seen as thoroughly dispensable, indeed interchangeable with others, to be used just so (...) long as we can get beyond it to the ultimate meaning which it presumably signifies. This rather simple—if not simplistic—semiology leaves the body of poetry as empty as modern post-Saussurean linguistics often leaves the body of language. By treating all poetic devices as transparent elements through which various universal "truths" are revealed, the rhetorical/allegorical theory converts all the poet's dispositions of words into devices of persuasion on the service of a function higher than that of poetry. Such is the way that, for example, a conservative, widely influential theorist like Scaliger clearly formulated the principle. And for as careful a commentator on Renaissance imagery as Rosemund Tuve, these are the farthest reaches of the Renaissance poetic; she argues that any more subtle a claim is merely the consequence of the modern mind trying anachronistically to sophisticate an older tradition. Her examination of explicit statements by major Renaissance writers on poetics finds reinforcement in the logic of Petrus Ramus as she extends it to a total stylistics, or even to a linguistics.1 · 1. Rosemund Tuve, Elizabethan and Metaphysical Imagery: Renaissance Poetic and Twentieth-Century Critics . Murray Krieger, University Professor of English and director of The Irvine School of Criticism and Theory at the University of California at Irvine, is the author of, among other works, The Tragic Vision, The Classic Vision, and, most recently, Theory of Criticism: A Tradition and its System. The present essay is part of his book, Poetic Presence and Illusion: Essays in Critical History and Theory. "Fiction, History, and Empirical Reality," his previous contribution to Critical Inquiry, appeared in the Winter 1974 issue. (shrink)

This paper considers philosophical approaches that are relevant to the intertwinement of logic, metaphysics, and psychology proposed by the Aquinas commentator Tommaso de Vio Cardinal Cajetan, the humanist Petrus Ramus, the pure Aristotelian Cornelius Martini, the Semi-Ramist Bartholomaeus Keckermann, and the lexicographer Rudolf Goclenius. Mostly, however, it is about Ramus and his followers, the Ramists, because of the role they played in exacerbating a discussion on the constitution of objectivity during the Renaissance that was to have an impact (...) on Cartesian andpost-Cartesian theories of subjectivity. Finally, keeping in mind that Kant was familiar with the secunda Petri, i.e., with the second part of Ramus's logic, namely the theory of judgment, some common ground is recognizable between Ramus and Kant as well. (shrink)

Does syllogistic logic have the resources to capture mathematical proof? This volume provides the first unified account of the history of attempts to answer this question, the reasoning behind the different positions taken, and their far-reaching implications. Aristotle had claimed that scientific knowledge, which includes mathematics, is provided by syllogisms of a special sort: 'scientific' ('demonstrative') syllogisms. In ancient Greece and in the Middle Ages, the claim that Euclid's theorems could be recast syllogistically was accepted without further scrutiny. Nevertheless, (...) as early as Galen, the importance of relational reasoning for mathematics had already been recognized. Further critical voices emerged in the Renaissance and the question of whether mathematical proofs could be recast syllogistically attracted more sustained attention over the following three centuries. Supported by more detailed analyses of Euclidean theorems, this led to attempts to extend logical theory to include relational reasoning, and to arguments purporting to reduce relational reasoning to a syllogistic form. Philosophical proposals to the effect that mathematical reasoning is heterogenous with respect to logical proofs were famously defended by Kant, and the implications of the debate about the adequacy of syllogistic logic for mathematics are at the very core of Kant's account of synthetic a priori judgments. While it is now widely accepted that syllogistic logic is not sufficient to account for the logic of mathematical proof, the history and the analysis of this debate, running from Aristotle to de Morgan and beyond, is a fascinating and crucial insight into the relationship between philosophy and mathematics. (shrink)

"The question of complex systems is relatively new for critics today. Analyzing complex systems in Renaissance texts shows that the Christian kabbalistical concept of harmonia mundi led to an aesthetical development, reflecting the worldview of harmonious parallel worlds. Failure to perceive the esoteric text uniting apparently contradicting themes has often led Renaissance scholars to elaborate a theory of the instability of atmospheres characterizing the English Baroque. This article gives an example of a complex system in Shakespeare's Antony and (...) Cleopatra revealing that the Christian kabbalistical Hercules unifies contradicting metaphors and intertexts of the play, and reintegrates this work in a form of semantic stability more in harmony with the aesthetics of its time. In the case of postmodern literature, contradictory intertexts appear as a device to deconstruct all values and logic previously established. With the study of a text structured by the optical questions around the refraction of light, this paper shows that in the case of Nabokov, the unifying system of apparently contradicting semantic systems is the underlying logic of scientific theory. In Nabokov's text, failing to perceive the fundamental intertext of scientific debate leads one to assimilate Nabokov's writing to a form of postmodern deconstruction. Both cases studied tend to show a continuity of a form of aesthetics through different epistemological eras.". (shrink)

The mnemonic arts and the idea of a universal language that would capture the essence of all things were originally associated with cryptology, mysticism, and other occult practices. And it is commonly held that these enigmatic efforts were abandoned with the development of formal logic in the seventeenth century and the beginning of the modern era. In his distinguished book, Logic and the Art of Memory Italian philosopher and historian Paolo Rossi argues that this view is belied by (...) an examination of the history of the idea of a universal language. Based on comprehensive analyses of original texts, Rossi traces the development of this idea from late medieval thinkers such as Ramon Lull through Bruno, Bacon, Descartes, and finally Leibniz in the seventeenth century. The search for a symbolic mode of communication that would be intelligible to everyone was not a mere vestige of magical thinking and occult sciences, but a fundamental component of Renaissance and Enlightenment thought. Seen from this perspective, modern science and combinatorial logic represent not a break from the past but rather its full maturity. Available for the first time in English, this book (originally titled Clavis Universalis) remains one of the most important contributions to the history of ideas ever written. In addition to his eagerly anticipated translation, Steven Clucas offers a substantial introduction that places this book in the context of other recent works on this fascinating subject. A rich history and valuable sourcebook, Logic and the Art of Memory documents an essential chapter in the development of human reason. (shrink)

Examines the relations between logic and philosophy over the last 150 years. Logic underwent a major renaissance beginning in the nineteenth century. Cantor almost tamed the infinite, and Frege aimed to undercut Kant by reducing mathematics to logic. These achievements were threatened by the paradoxes, like Russell's. This ferment generated excellent philosophy by excellent philosophers up to World War II. This book provides a selective, critical history of the collaboration between logic and philosophy during this (...) period. After World War II, mathematical logic became a recognized subdiscipline in mathematics departments, and consequently but unfortunately philosophers have lost touch with its monuments. This book aims to make four of them more accessible to philosophers, making available the tools necessary for modern scholars of philosophy to renew a productive dialogue between logic and philosophy. (shrink)

I argue that Descartes and the Cartesians are likely in agreement that logic is an ars cogitandi whose aim is to perfect the ingenium by the exercise of its operations: ideating, judging, discoursing, and ordering. We can see that these elements are the underpinning of both the Regulae and the Discourse on Method, and thus, like Adrien Baillet and others in the seventeenth century, we can understand these two works as embodying Descartes’ “logic,” despite Descartes’ notorious anti-logic (...) Renaissance rhetoric in both writings. (shrink)

Before World War II French intellectuals had paid little attention to Hegel. Only offbeat intellectuals like André Breton's surrealists and a circle of young Marxists in the 1920s paid tribute to the German dialectician. Among the reasons suggested by Alexandra Koyré for the lack of interest were the obscurity of Hegel's writing, the strength of Cartesian and Kantian traditions, Hegel's Protestantism, but, above all, the incredulity of the French toward Hegel's “strict identity of logical synthesis and historical becoming.” If this (...) was the situation, how can we account for the precipitous turn to Hegel in the 1940s? In the eyes of many converts to Hegel, the catastrophic defeat of France in 1940 had discredited liberal-bourgeois intellectual and political traditions, leaving France in a conceptual vacuum. (shrink)

The paper examines the Dialogue De pace fidei written by Nicolaus Cusanus in 1453 to settle disputes arising from events that triggered religious unrest, such as the fall of Constantinople in May 1453, the invasion and massacre of the Turks led by Sultan Mehmed II and the defeat of the Christians. Following the disintegration of medieval Christianity, Cusanus, instead of promoting a crusade, as Cardinal Bessarione did, proposed a more suitable way to make the major exponents of different religions interact (...) in a fruitful dialogue, hoping for the peace of a single universal faith. The arguments through which Cusanus claimed the concept of a concordance and pacification of the faith reveal the originality and topicality of the message communicated by the humanist, founded on the doctrine of peace in the faith, overcoming inter-confessional barriers and religious divergences.The author contrasts the divergences, massacres and wars with a doctrinal comparison among different religions through dialogue. The paper invites reflection upon the religious struggles that still spread discord in the world. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Philosophy 39.3 (2001) 451-453 [Access article in PDF] Ernst Cassirer. The Logic of the Cultural Sciences: Five Studies. Translated by S. G. Lofts. New Haven: Yale University Press, 2000. Pp. xliii + 134. Cloth, $30.00. Paper, $15.00. This is a new translation of Cassirer's Zur Logik der Kulturwissenschaften: Fünf Studien. It replaces the earlier one by Clarence Smith Howe with the title The (...) Logic of the Humanities (Yale University Press, 1961) that has been out of print for many years. Howe's volume includes a translation of Cassirer's essay "Naturalistic and Humanistic Philosophies of Culture" which does not appear in the new volume.Considered as part of his system of symbolic forms, this volume is the counterpart to Cassirer's conception of mathematical and scientific thought of the third volume of the Philosophy of Symbolic Forms. The pivotal study in Cassirer's five closely related analyses of the cultural sciences is that concerning "Naturbegriffe und Kulturbegriffe." [End Page 451] Cassirer contrasts the way in which concepts function in natural scientific thought with the way in which concepts function in cultural thought. In the natural sciences all of the individual "properties" of a thing can be reduced to numerical determinations. The particular can be subordinated to the universal. Thus gold as a specific metal is gold if and only if it exhibits specific numerically expressed properties, e.g., possesses a specific weight, electrical conductivity, coefficient of expansion, etc.Cultural concepts do not subordinate the particular to the universal in this determinate manner. Rather, they coordinate the particular with the universal. Thus it is possible to arrange the various figures of the Renaissance such as Leonardo da Vinci, Machiavelli, Michelangelo, and Cesare Borgia under Jakob Burckhardt's conception of "Man of the Renaissance," but each only approximates this standard. Although each is not given a determinate place in relation to the others, they all can be comprehended in a meaningful set of interrelationships.There is a problem of how to render Cassirer's key terms, Naturbegriffe and Kulturbegriffe. Howe expresses them literally as "nature-concepts" and "culture-concepts." Lofts states them as "concepts of nature" and "concepts of culture." Lofts's rendering has the difficulty of suggesting that Cassirer's discussion concerns a comparison or criticism of various concepts of nature and culture rather than a theory of concept-formation showing the type of thinking distinctive to the natural sciences in contrast to the cultural sciences.The last study in the volume concerns "The Tragedy of Culture" in which Cassirer criticizes Georg Simmel's conception of culture as alienation of the human spirit from itself. Against Simmel's negative view, Cassirer advances his view of culture as a positive achievement of the development of spirit (Geist) from life (Leben). Cassirer's position in this study forecasts his view as developed later in An Essay on Man (1944) that human culture as it arises through its various symbolic forms of myth and religion, language, art, history, and science is a process of "progressive self-liberation." Culture for Cassirer is not alienation, but self-knowledge.Central to this last study is Cassirer's discussion of how the "I" does not originally exist in a fixed state of separation between "I" and "world" and between "I" and other human beings. The Ich, Cassirer says, develops itself in relation to the Du in the formation of culture. The difference between the two is not simply given. Lofts follows Howe in translating Ich and Du as "I" and "you" (Howe, 188-90; Lofts, 107-8). Cassirer's use of the second person familiar (Du) is intended to emphasize the "I-thou" relationship, the sense in which the other in this development of the self is originally an alter ego, not an impersonal other (Sie). Cassirer's discussion here echoes his discussion of the "thou" in the chapter on the "Phenomenon of Expression" (Ausdrucksphänomen) in the third volume of the Philosophy of Symbolic Forms. The translation of Du as "you" rather than "thou" which reflects the... (shrink)

While the formal treatment of arguments in the late medieval modi arguendi owes much to dialectic, this does not remove the substance and function of the argumentative modes discussed from the realm of rhetoric. These works, designed to teach law students skills in legal argumentation, remain importantly focused on persuasive features of argumentation which have traditionally been strongly associated with a rhetorical approach, particularly in efforts to differentiate from it dialectic as a more strictly scientific and logical form of reasoning. (...) This also sheds some light on the relative roles logic and rhetoric play in the legal discourse of our own time. In their approach to persuasive legal discourse, the modi arguendi stand between the argumentative rhetorics of Antiquity and the rhetoricized dialectics of the Renaissance, and by linking the minute technicalities of professionalized law with broad general considerations of justice, utility, nature, and emotion, they mediate between the modem trend towards atomized field-specific rhetorics and the classical idea of a unified civic rhetoric. (shrink)

Burned at the stake for heresy, Giordano Bruno (1548-1600) was one of the Renaissance's more controversial thinkers. Current scholarship tends to read Bruno as either a Neo-Platonist who ultimately collapses reality to an overarching unity, or as an eclectic thinker whose disparate and disjointed musings are essentially incoherent. By closely and critically examining Bruno's writings this book demonstrates that Bruno was very much in the spirit of Modernity in that he tried to explain philosophically the possibility of the coexistence (...) of unity and multiplicity (difference) through the «then-scientific» logic of the coincidence of opposites. His metaphysics, cosmology and ethical thinking are to be understood through this underlying logic of coincidence, thereby rendering Bruno neither an absolute Neo-Platonist nor unintelligible. (shrink)

Contents: Preface; From faith to reason for fideism: Raymond Lull, Raimundus Sabundus and Michel de Montaigne; Nicholas of Cusa and Pythagorean theology; Giordano Bruno's philosophy of religion; Coluccio Salutati: hermeneutics of humanity; Humanism applied to language, logic and religion: Lorenzo Valla; Georgios Gemistos Plethon: from paganism to Christianity and back; Marsilio Ficino's philosophical theology; Giovanni Pico against popular Platonism; Tommaso Campanella: God makes sense in the world; Francisco Suárez – scholastic and Platonic ideas of God; Epilogue: conflicting truth claims; (...) Bibliography; Index. (shrink)

In the last two decades there has been renewed interest in visualization in logic and mathematics. Visualization is usually understood in different ways but for the purposes of this article I will take a rather broad conception of visualization to include both visualization by means of mental images as well as visualizations by means of computer generated images or images drawn on paper, e.g. diagrams etc. These different types of visualization can differ substantially but I am interested in offering (...) a characterization of visualization that is as broad as possible. The article describes and explains (1) the way in which visual thinking fell into disrepute, (2) the renaissance of visual thinking in mathematics over recent decades, (3) the ways in which visual thinking has been rehabilitated in epistemology of mathematics and logic. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Guillaume Budé, Andrea Alciato, Pierre de l’Estoile: Renaissance Interpreters of Roman LawMichael L. MonheitIn the Renaissance, jurists and other scholars intensely debated the problem of how to interpret correctly the Corpus iuris civilis (CIC), Justinian’s great sixth-century-ad compilation of Roman law. 1 Yet by the sixteenth century jurists had been closely interpreting its texts for four centuries; indeed Roman law jurists, much more than pre-Reformation theologians, innovated (...) through close commentary on the text (a characteristic sometimes wrongly considered a humanist innovation). Assuming that these texts were fully consistent, largely lacking a sense of historical distance, they “found” the CIC’s dictum on a given question by weaving many passages that seemed to address it partially into a complex logical fabric, and eliminated apparent internal conceptual disparities in the same way. 2But from the fifteenth century such humanists as Lorenzo Valla (1407–57) and Angelo Politiano (1454–94) applied humanist critical methods to the CIC and ridiculed the methods of the civilians. In the early sixteenth century the work of Guillaume Budé (1468–1540), Andrea Alciato (1492–1550), and Ulrich Zasius (1461–1535) intensified the crisis in legal interpretation. Budé, the [End Page 21] period’s leading French humanist, was the first humanist to publish an exhaustive study of Justinian’s Digest, while the Milanese jurist Alciato and the German jurist Zasius were among the first humanist-trained Roman lawyers to tackle the CIC. Across the century’s first three decades these humanists debated each other and other jurists, including the eminent Orléans professor of Roman law, Pierre de l’Estoile (1480–1537), best known to scholars as the teacher of a youthful law student named Jean Calvin. 3 We consider here a debate between Budé, Alciato, and Estoile, which also involved Nicolas Duchemin, Estoile’s student and partisan, and Calvin himself, who made his first appearance in print by contributing a preface to the work of his friend Duchemin. Though often referred to in Calvin scholarship, the debate has never been thoroughly explored. 4 [End Page 22]Unlike some recent studies of interpretation in the Renaissance, this study focuses on each interpreter’s practice, rather than his explicit methodological pronouncements alone, on what Wittgenstein calls a writer’s “language game”—here the meaning of each interpreter’s statements in the context of his interpretive practices. Indeed we shall view this debate as a clash of three “forms of life,” since the three protagonists could not agree as to what rules to follow to determine the meaning of a particular expression. 5In the passage in question, Lex Nec quicquam, §Ubi decretum, from the Digest section On the Duties of the Proconsul and Legate (D.1.16.9.1), the third century Imperial jurist Ulpian, declares:Ubi decretum necessarium est per libellum id expedire proconsul non poterit: Omnia enim quaecunque causae cognitionem desiderant per libellum non possunt expediri. (Where a decretum [decree] is required, the proconsul will not be able to dispose of the matter per libellum. All matters whatsoever requiring causae cognitio [judicial investigation] cannot be disposed of per libellum.)In unravelling the meaning of such key terms as decretum and libellus, the interpreters applied assumptions and practices rooted in both the humanist and [End Page 23] scholastic traditions—sometimes the same individual applied both. The debate presents the issue of interpretation apart from that of textual recovery, for no participant claimed any passage involved had been corrupted or offered a significant variant. Had they possessed the Mommsen edition of the CIC (albeit without necessarily understanding its principles of construction), each would have faced little added difficulty.I. Guillaume Budé on §Ubi decretumGuillaume Budé sparked the debate with his comments on the passage in the first part of his famous study of Justinian’s Digest, the Annotationes in quattuor & viginti Pandectarum libros (1508). He argued that the term libellus as used in the passage meant a supplicatory petition addressed to the Emperor. The matters involved could include both controversial cases, for which the Emperor would rely on the judgment of his council, and uncontested matters in which Emperors acted by their own “liberality or beneficence.” Budé confined himself to the... (shrink)

Faust Vrančić's (Faustus Verantius, 1551-1617) logic is analyzed in comparison to Renaissance Aristotelianism in logic with regard to the problem of determining logic, the subject of logic, and understanding the method. Vrančić's logic is compared to Markantun de Dominis' understanding of logic and to the understanding of logic in Jacopo Zabarella and in the Jesuit Renaissance tradition (P. Fonseca, F. Toletus, F. Suárez). In addition, the concept of science is discussed. "Censura (...) logicae" published at the end of Vrančić's "Logica nova" (1616) is attributed to de Dominis. -- German version: 'Faust Vrančić and der Aristotelismus in der Logik', Studia historiae philosophiae Croaticae 2 (1993), 229-252). (shrink)

The suggestion of this paper is that we need again widely to practice and teach “the science of the soul” in order to produce the renaissance required to keep civilization going. A metaphor is not the saying of one thing while meaning another. In fact, metaphor is not limited to speech and writing. The understanding offered here is that, properly understood and employed, metaphor is a powerful and indispensable precision tool for radical improvement in thought. It is a prime (...) guide and cause effecting leaps of mind from one axiomatic train of thought or mind set to a better, higher, and seemingly incommensurable one. It is at once a tool for teaching those insights which founded the civilization and a training regimen for strengthening rational creativity to solve new problems. (shrink)

Greek, Indian and Arabic Logic marks the initial appearance of the multi-volume Handbook of the History of Logic. Additional volumes will be published when ready, rather than in strict chronological order. Soon to appear are The Rise of Modern Logic: From Leibniz to Frege. Also in preparation are Logic From Russell to Gödel, The Emergence of Classical Logic, Logic and the Modalities in the Twentieth Century, and The Many-Valued and Non-Monotonic Turn in Logic. (...) Further volumes will follow, including Mediaeval and Renaissance Logic and Logic: A History of its Central. In designing the Handbook of the History of Logic, the Editors have taken the view that the history of logic holds more than an antiquarian interest, and that a knowledge of logic's rich and sophisticated development is, in various respects, relevant to the research programmes of the present day. Ancient logic is no exception. The present volume attests to the distant origins of some of modern logic's most important features, such as can be found in the claim by the authors of the chapter on Aristotle's early logic that, from its infancy, the theory of the syllogism is an example of an intuitionistic, non-monotonic, relevantly paraconsistent logic. Similarly, in addition to its comparative earliness, what is striking about the best of the Megarian and Stoic traditions is their sophistication and originality. Logic is an indispensably important pivot of the Western intellectual tradition. But, as the chapters on Indian and Arabic logic make clear, logic's parentage extends more widely than any direct line from the Greek city states. It is hardly surprising, therefore, that for centuries logic has been an unfetteredly international enterprise, whose research programmes reach to every corner of the learned world. Like its companion volumes, Greek, Indian and Arabic Logic is the result of a design that gives to its distinguished authors as much space as would be needed to produce highly authoritative chapters, rich in detail and interpretative reach. The aim of the Editors is to have placed before the relevant intellectual communities a research tool of indispensable value. Together with the other volumes, Greek, Indian and Arabic Logic, will be essential reading for everyone with a curiosity about logic's long development, especially researchers, graduate and senior undergraduate students in logic in all its forms, argumentation theory, AI and computer science, cognitive psychology and neuroscience, linguistics, forensics, philosophy and the history of philosophy, and the history of ideas. (shrink)