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)

Steve Awodey and Erich H. Reck. Completeness and Categoricity: 19th Century Axiomatics to 21st Century Senatics.

The psychoanalytical case history was in many ways the pivot point of John Forrester’s reflections on case-based reasoning. Yet the Freudian case is not without its own textual forebears. This article closely analyses texts from two earlier case-writing traditions in order to elucidate some of the negotiations by which the case history as a textual form came to articulate the mode of reasoning that we now call ‘thinking in cases’. It reads Eugène Azam’s 1876 observation of Félida X and her (...) ‘double personality’—the case that brought both Azam and Félida to prominence in late 19th-century French science—against a medico-surgical case penned by the Bordeaux physician in the same decade. While the stylistics of Azam’s medical case mirror its epistemic underpinnings in the ‘vertical’ logics of positivist science, the multiple narratives interwoven in Félida’s case grant both Azam and his patient the role of knowledge-making actors in the text. This narrative transformation chimes with the way Azam reasons ‘horizontally’ from particulars to Félida’s singular condition, but sits in tension with his choice to structure the observation along a ‘vertical’ axis. Between the two, we glimpse the emergence of the psychological observation as a mode of writing and thus of thinking in cases. (shrink)

What does it mean to do philosophy historically, and when does the legend of philosophy begin? When Hegel tried to give a logical explanation of philosophy's history, was he doing the same thing as Eduard Zeller in his account of Creek thought, or Kuno Fischer in his narrative of modern philosophy? l do not believe so, and I shall sugges t in the following that we should carefully differentiate between the different activities commonly referred to as the history of philosophy. (...) I will point out the enormous productivity of the 19th century in terms of printed books devoted to the history of philosophy. I will also point to the context in which these were produced and used rather than examining individual works or authors. There is an entirely new context in the 19th century, which is the study of philosophy. A proper culture developed around the historical interest in philosophy, and it is this culture I want to sketch here. (shrink)

A brief overview of the main Croatian philosophers of the 19th century is given (regardless of whether they worked in or outside of Croatia). Special attention is paid to Šimun Čučić (logic, metaphysics, ethics) and Franjo pl. Marković (logic, aesthetics). The philosophy of other authors is briefly summarized on the ground of the existing research results.

The article is devoted to the analysis of the theological-academic ontological doctrine of the three types of being formulated within the framework of the Russian theological-academic philosophy of the 19th century. The study of this problem in the context of the general analysis of the phenomenon of theological-academic philosophy allows expanding our understanding of the genesis of Russian philosophy and its religious-philosophical component. The main aim of the article is the historical-philosophical analysis (on the material of philosophical courses (...) of Russian theological academies and original works of professors of academies) of the doctrine about three types of being, which was developed within the framework of the theological-academic philosophy in Russia in the 19th century. The set goal is achieved by means of textual and religious analysis methods, as well as historical-functional, historical-genetic, and comparative research methods. The authors conclude that the specificity of theological-academic philosophizing was determined by confessional affiliation and consisted in its theistic form: the transversal theme of all theological-academic interpretations was the problem of being. Thus, theological-academic ontology took the form of the doctrine of God as an absolute being and the world as its derivative. The theological-academic doctrine of the three types of being and the synthesizing function of the absolute in relation to theological and material being cannot be characterized as quite logical and consistent. The notion of God as an absolute being is conditioned by the aspiration of theological-academic philosophers not to go beyond traditional orthodoxy and is one of the main specific features of theological-academic philosophical interpretations of religious consciousness. At the same time, the historical and philosophical analysis of the works of professors from Russian theological academies allows tracing how the powerful ideological and theoretical potential accumulated in Russian theological academies after their reforms in the 19th century contributed to the development of professional philosophy in Russia, the development of a philosophical categorical apparatus and the systematic formation of Russian philosophical thought. The development of this theme responds to the urgent research tasks of the history of philosophy. Further, this topic is very interesting not only for historians of philosophy but also for historians of religion, historians of orthodoxy, and culturologists. (shrink)

This paper is the first in a two-part series in which we discuss several notions of completeness for systems of mathematical axioms, with special focus on their interrelations and historical origins in the development of the axiomatic method. We argue that, both from historical and logical points of view, higher-order logic is an appropriate framework for considering such notions, and we consider some open questions in higher-order axiomatics. In addition, we indicate how one can fruitfully extend the usual set-theoretic (...) semantics so as to shed new light on the relevant strengths and limits of higher-order logic. (shrink)

This article considers the concept of Sachverhalt in the Austrian philosophical tradition of the 19 th century. In particular, we examine the works of Bernard Bolzano, Rudolf Lotze, Julius Bergmann, Franz Brentano, Karl Stumpf, Anton Marty and Alexius Meinong. The emergence of the concept of Sachverhalt, or the state of things, in extensive philosophical discussions is connected with the works of L. Wittgenstein and phenomenologist Adolf Reinach. Reinach criticized previous theories of judgment. He wrote that they were built on (...) the evaluation, affirmation or negation of a particular object. And that is a mistake. Only introduction of the concept of Sachverhalt allows us to solve a number of logical contradictions that faces the theory of judgment. We find this term in the works of Lotze and Stumpf, but what is its position in their theories? Does it solve the problems that mentions Reinach? Therefore, in this study, we answer the question of how fair is Reinach’s criticism. Also we analyze the various theories of judgment in Austrian philosophy to determine whether it is possible to speak of Sachverhalt as a single entity connecting the concepts of all authors in the Austrian tradition. (shrink)

The book deals with the reception and critique of symbolic logic among German-speaking philosophers at the turn of the 20th century. The first part discusses the period from the late 1870s up to the end of the 19th century. The main issue is the arrival of the Boolean algebra of logic in Germany and Austria. It examines also the reasons why Gottlob Frege was so unsuccessful in his attempts to draw the attention of philosophers to (...) his logicist programme. The second part deals with the first two decades of the 20th century. Its main topic of inquiry is the reception of Bertrand Russell's and Louis Couturat's ideas in the German-speaking world. In particular, it concentrates on the relationship between Russell and neo-Kantians. (shrink)

This chapter discusses the complex conditions for the emergence of 19th-century symbolic logic. The main scope will be on the mathematical motives leading to the interest in logic; the philosophical context will be dealt with only in passing. The main object of study will be the algebra of logic in its British and German versions. Special emphasis will be laid on the systems of George Boole and above all of his German follower Ernst Schröder.

The first beginnings of modern logic in Croatia are recognizable as early as in the middle of the 19th century in Vatroslav Bertić. At the turn of the 20th century, Albin Nagy, who was teaching in Italy, made contributions to algebraic logic and to the philosophy of logic. At that time, a distinctive author Mate Meršić stood out, also working on algebraic logic. In the Croatian academic philosophy, until the publication of Gajo Petrović's (...) textbook (1964) and the contributions by Heda Festini, a critical or indifferent attitude toward modern logic prevailed. The first comprehensive modern logic textbook in Croatian was written by mathematician Vladimir Devidé (1964), known, for example, for his axiomatizations of natural numbers and classical propositional logic. In the Croatian philosophy of the 1980s and 1990s, influential logicians are Goran Švob and mathematician Zvonimir Šikić. At the turn of the 21st century, logical investigations are being intensified and extended to various branches of the contemporary logic. (shrink)

The two works reprinted in this volume are a unique fusion of logical thought and inimitable whimsy. Written by the 19th-century mathematician who also gave us "Alive in Wonderland", they are among the most entertaining logical works ever written, and contain some of the most thought-provoking puzzles ever devised.

The scope and method of logic as we know it today eminently reflect the ground-breaking developments of set theory and the logical foundations of mathematics at the turn of the 20th century. Unfortunately, little effort has been made to understand the idiosyncrasies of the philosophical context that led to these tremendous innovations in the 19thcentury beyond what is found in the works of mathematicians such as Frege, Hilbert, and Russell. This constitutes a monumental gap in our understanding of (...) the central influences that shaped 19th-century thought, from Kant to Russell, and that helped to create the conditions in which analytic philosophy could emerge. -/- The aim of Logic from Kant to Russell is to document the development of logic in the works of 19th-century philosophers. It contains thirteen original essays written by authors from a broad range of backgrounds—intellectual historians, historians of idealism, philosophers of science, and historians of logic and analytic philosophy. These essays question the standard narratives of analytic philosophy’s past and address concerns that are relevant to the contemporary philosophical study of language, mind, and cognition. The book covers a broad range of influential thinkers in 19th-century philosophy and analytic philosophy, including Kant, Bolzano, Hegel, Herbart, Lotze, the British Algebraists and Idealists, Moore, Russell, the Neo-Kantians, and Frege. (shrink)

This book explores the complexity of two philosophical traditions, extending from their origins to the current developments in neopragmatism. Chapters deal with the first encounters of these traditions and beyond, looking at metaphysics and the Vienna circle as well as semantics and the principle of tolerance. There is a general consensus that North-American pragmatism and European Logical Empiricism were converging philosophical traditions, especially after the forced migration of the European Philosophers. But readers will discover a pluralist image of this relation (...) and interaction with an obvious family resemblance. This work clarifies and specifies the common features and differences of these currents since the beginning of their mutual scientific communication in the 19th century. The book draws on collaboration between authors and philosophers from Vienna, Tübingen, and Helsinki, and their networks. It will appeal to philosophers, scholars in the history of philosophy, philosophers of science, pragmatists and beyond. (shrink)

The book is a collection of the author’s selected works in the philosophy and history of logic and mathematics. Papers in Part I include both general surveys of contemporary philosophy of mathematics as well as studies devoted to specialized topics, like Cantor's philosophy of set theory, the Church thesis and its epistemological status, the history of the philosophical background of the concept of number, the structuralist epistemology of mathematics and the phenomenological philosophy of mathematics. Part II contains essays in (...) the history of logic and mathematics. They address such issues as the philosophical background of the development of symbolism in mathematical logic, Giuseppe Peano and his role in the creation of contemporary logical symbolism, Emil L. Post's works in mathematical logic and recursion theory, the formalist school in the foundations of mathematics and the algebra of logic in England in the 19th century. The history of mathematics and logic in Poland is also considered.This volume is of interest to historians and philosophers of science and mathematics as well as to logicians and mathematicians interested in the philosophy and history of their fields. (shrink)

"The Art of Logical Thinking" is a book written by William Walker Atkinson, an American attorney, merchant, publisher, and author in the late 19th and early 20th centuries. The book was first published in 1909 under the pseudonym Theron Q. Dumont, one of Atkinson's many pen names. The primary focus of "The Art of Logical Thinking" is to provide readers with insights into developing and refining their logical thinking abilities. Atkinson explores various aspects of logical reasoning and critical thinking, (...) aiming to guide readers in making better decisions, solving problems, and approaching issues with a more rational mindset. Key topics covered in the book include: The Nature of Thought: Atkinson delves into the fundamentals of thought processes, examining how ideas are formed and how the mind operates in its thinking capacity. Logical Analysis: The book provides techniques for breaking down complex problems into smaller, more manageable components, facilitating a systematic and logical approach to problem-solving. Deductive and Inductive Reasoning: Atkinson discusses both deductive and inductive reasoning, explaining their principles and applications. Deductive reasoning involves drawing specific conclusions from general principles, while inductive reasoning involves deriving general principles from specific observations. (shrink)

Ten brilliant essays on logic appear in this collection, the work of one of the world’s best-known authorities on logic. In these thought-provoking arguments and meditations, Nobel Prize winner Bertrand Russell challenges the romantic mysticism of the 19th century, positing instead his theory of logical atomism. These essays are categorized by Russell as "entirely popular" and "somewhat more technical." The former include the well-known title essay plus "A Free Man’s Worship" and "The Place of Science in (...) a Liberal Education"; the latter comprise "On the Notion of Cause" and "Knowledge by Acquaintance and Knowledge by Description," along with other essays written in the cogent and witty style for which their author is justly renowned. (shrink)

This article is a theoretical study of the relations between logic and Anglo-American cognitive science. It uses temporal, historical, and intentional evidence, and it is based on two consequential assumptions: (a) between the late 19th century and the first decades of the 20th century, some logical systems attempted to explain the foundations of mathematics and (b) since the 1940s and 1950s, these same systems became implicit sources of contents and methods of the rising Cognitivism. This study (...) produces an important conclusion: Anglo-American cognitive science partly derives from logic and partly shares many similarities with this science. (shrink)

In his Lectures on the Philosophy of Religion, Hegel treats the religions of the world under the rubric "the determinate religion." This is a part of his corpus that has traditionally been neglected since scholars have struggled to understand what philosophical work it is supposed to do. In Hegel's Interpretation of the Religions of the World, Jon Stewart argues that Hegel's rich analyses of Buddhism, Hinduism, Zoroastrianism, Judaism, Egyptian and Greek polytheism, and the Roman religion are not simply irrelevant historical (...) material, as is often thought. Instead, they play a central role in Hegel's argument for what he regards as the truth of Christianity. Hegel believes that the different conceptions of the gods in the world religions are reflections of individual peoples at specific periods in history. These conceptions might at first glance appear random and chaotic, but there is, Hegel claims, a discernible logic in them. Simultaneously, a theory of mythology, history, and philosophical anthropology, Hegel's account of the world religions goes far beyond the field of philosophy of religion. The controversial issues surrounding his treatment of the non-European religions are still very much with us today and make his account of religion an issue of continued topicality in the academic landscape of the twenty-first century. (shrink)

Logic diagrams have seen a resurgence in their application in a range of fields, including logic, biology, media science, computer science and philosophy. Consequently, understanding the history and philosophy of these diagrams has become crucial. As many current diagrammatic systems in logic are based on ideas that originated in the 18th and 19th centuries, it is important to consider what motivated the use of logic diagrams in the past and whether these reasons are still valid (...) today. This paper proposes that transcendental philosophy was a key inspiration for the development of logic diagrams and that such diagrams can be employed in transcendental arguments, even after the linguistic turn. (shrink)

Illuminates legal reasoning -- and its justification At least since plato and Aristotle, thinkers have pondered the relationship between philosophical arguments and the "sophistical" arguments offered by the Sophists -- who were the first professional lawyers. Judges wield substantial political power, and the justifications they offer for their decisions are a vital means by which citizens can assess the legitimacy of how that power is exercised. However, to evaluate judicial justifications requires close attention to the method of reasoning behind decisions. (...) This new collection illuminates and explains the political and moral importance in justifying the exercise of judicial power. Explores enduring questions Focusing on work over the past century, the essays address important recurring questions, such as: When a judge or a lawyer reasons to a conclusion about what is legally required in a given case, must he also ask what is morally required? To what extent do a judge's personal, political, or moral biases affect his legal reasoning? What is the impact of such biases? Can all such biases be avoided? Is legal reasoning similar to reasoning in mathematics, logic, and linguistics, the physical sciences, the social sciences, or literature and history? Do formal logical modes of argument play any roles in legal reasoning? Solid coverage, well organized The articles were chosen to present some of the most influential works on the topic, as well as less familiar works that are thought provoking and informative. Each volume also offers a representative range of theoretical approaches to its topic, contains an introduction that locates the subject within the larger framework oftheories of legal reasoning and jurisprudence, and includes bibliographical notes on further readings. Many 19th century legal theorists argued that deduction is the central mode of legal reasoning, and that legal argument is like a deductive proof in mathematics or logic. They were attracted to this "deductivist" concept because it suggested that legal reasoning could be politically and morally neutral. This volume brings together some of the most thought-provoking articles on both sides of the debate. It also contains several leading articles that explain the role of probabilistic judgments and presumptions in various types of legal arguments, including the laws of evidence and criminal procedure. The collection is a solid introduction to the basic modes of logical argument in legal reasoning. (shrink)

Abstract:During the early 19th century, a peculiarly systematic way of organizing books emerged in Germany. This systematization, which purported to be a rational organization of subject matter, was an outgrowth of the philosophy of Hegel. This article attempts to outline Hegel's organizational practice. It argues that Hegel's encyclopedia was a reaction against the Enlightenment encyclopedia, and that it attempted to restore the systematic mindset of pre-modern reference books. Yet it did this, not in a straightforward fashion, but by (...) developing a method for organizing material that both stresses the interconnectedness of knowledge and promises to be highly scalable. In its attempt to trace the Hegelian organizational method, this article revisits and calls attention to a forgotten work in Hegel scholarship by Michael John Petry, who was the first writer to seriously stress the importance of classification in Hegel's work. This article is an attempt to demonstrate that Hegelianism and information organization can be brought into fruitful and mutually beneficial dialogue. (shrink)

Pragmatism, Logic and Law traces legal pragmatism as a distinct logical theory originated in late 19th century America, covering various issues, cases, personalities, and relevant intellectual movements within and outside law. It addresses pragmatism’s relation to legal liberalism, natural law, critical legal studies (CLS), and neopragmatism.

A Border Disputeintegrates the latest work in logic and semantics into a theory of language learning and presents six worked examples of how that theory revolutionizes cognitive psychology. Macnamara's thesis is set against the background of a fresh analysis of the psychologism debate of the 19th-century, which led to the current standoff between logic and psychology. The book presents psychologism through the writings of John Stuart Mill and Immanuel Kant, and its rejection by Gottlob Frege and (...) Edmund Husserl. It then works out the general thesis that logic ideally presents a competence theory for part of human reasoning and explains how logical intuition is grounded in properties of the mind. The next six chapters present examples that illustrate the relevance of logic to psychology. These problems are all in the semantics of child language (the learning of proper names, personal pronouns, sortals or common nouns, quantifiers, and the truth-functional connectives) and reflect Macnamara's rich background in developmental psychology, particularly child language - a field, he points out, that embraces all of cognition. Technical problems raised by but not included in the examples in the main part of the text are dealt with in a separate chapter. The book concludes by describing laws in cognitive psychology, or the type of science made possible by Macnamara's new theory. John Macnamara is Professor of Psychology and Director of the Program in the History and Philosophy of Science, McGill University. A Bradford Book. (shrink)

Even among those philosophers who hold particular aspects of Hegel's philosophy in high regard, there have been few since the 19th century who have found Hegel's "metaphysics" plausible, and just as few not sceptical about the coherency of the "logical" project on which it is meant to be based. Indeed, against the type of work characteristic of the late nineteenth-century logical revolution which issued in modern analytic philosophy, it is often difficult to see exactly how Hegel's "logical" (...) writings can be read as a contribution to logic at all. Furthermore, any tendency toward skepticism here can only have been reinforced by the well-known views of Bertrand Russell about the logical inadequacy of the "Hegelian" approach of his predecessors. (shrink)

In this paper, I take a closer look at Hans Reichenbach’s relation to metaphysics and work out some interesting parallels between his account and that of the proponents of inductive metaphysics, a tradition that emerged in the mid- and late 19th century and the early 20th century in Germany. It is in particular Hans Reichenbach’s conception of the relation between the natural sciences and metaphysics, as displayed in his treatment of the question of the existence of the (...) external world, that shows some very interesting similarities with inductive metaphysics. By a comparison with the position of the inductive metaphysician Erich Becher and his handling of the problem of realism, I work out the parallels between Reichenbach’s program and inductive metaphysics. I come to the conclusion that while there are certainly some respects in which Reichenbach’s logical empiricism is closer to the positions of the representatives of the Vienna Circle, it turns out that with regard to his views on metaphysics there is a greater affinity with the program of inductive metaphysics. (shrink)

A. J. Ayer’s Language, Truth, and Logic had been responsible for introducing the Vienna Circle’s ideas, developed within a Germanophone framework, to an Anglophone readership. Inevitably, this migration from one context to another resulted in the alteration of some of the concepts being transmitted. Such alterations have served to facilitate a number of false impressions of Logical Empiricism from which recent scholarship still tries to recover. In this paper, I will attempt to point to the ways in which LTL (...) has helped to foster the various mistaken stereotypes about Logical Empiricism which were combined into the received view. I will begin by examining Ayer’s all too brief presentation of an Anglocentric lineage for his ideas. This lineage, as we shall see, simply omits the major 19th century Germanophone influences on the rise of analytic philosophy. The Germanophone ideas he presents are selectively introduced into an Anglophone context, and directed towards various concerns that arose within that context. I will focus on the differences between Carnap’s version of the overcoming of metaphysics, and Ayer’s reconfiguration into what he calls the elimination of metaphysics. Having discussed the above, I will very briefly outline the consequences that Ayer’s radicalisation of the Vienna Circle’s doctrines had on the subsequent Anglophone reception of Logical Empiricism. (shrink)

BEFORE Frege’s Begriffsschrift, propositional logic was submerged in the often murky theory of the "hypothetical syllogism." With the exception of the Stoa, a handful of astute mediaeval logicians, Leibniz, and Bolzano, one might well obtain the impression from studying the history of logic that Frege created his theory ex nihilo—which is substantially true, since Frege was apparently little influenced by previous work. One might also obtain the impression, especially by reading Frege himself, that very little was being done (...) on propositional logic in the 19th century. This claim would be false. As one might expect from a philosopher who is sometimes grouped with Frege and De Morgan as one of the greatest nineteenth century logicians, Charles S. Peirce dealt extensively with propositional logic, or as he would have called it, with the theory of the hypothetical syllogism. (shrink)

The twelve original studies collected in this volume examine different aspects of Edmund Husserl's Logical Investigations. They are authored by scholars and specialists internationally recognized for their expertise in the fields of phenomenology, logic, history of philosophy and philosophy of mind. They approach Husserl's groundwork from different angles and perspectives and shed new light on a number of issues such as meaning, intentionality, ontology, logic, etc. They also explore questions such as the place of the Logical Investigations within (...) the whole of Husserl's work, its sources in 19th century philosophy and in particular in the philosophical work of Franz Brentano and Bernard Bolzano, its reception amongst the so-called members of the Munich Circle and its influence on contemporary philosophy. In short, this volume constitutes a "companion" to Husserl's Logical Investigations. (shrink)

This chapter situates Mill’s System of Logic (1843/1872) in the context of some of the meta-logical themes and disputes characteristic of the 19th century as well as Mill’s empiricism. Particularly, by placing the Logic in relation to Whately’s (1827) Elements of Logic and Mill’s response to the “great paradox” of the informativeness of syllogistic reasoning, the chapter explores the development of Mill’s views on the foundation, function, and the relation between ratiocination and induction. It provides (...) a survey of the Mill-Whewell debate on the nature of induction, Mill’s account of putatively a priori disciplines such as the science of number, and Frege’s criticisms of the Logic as psychologistic. (shrink)

Josiah Royce (1855?1916) was, in addition to being the pre-eminent metaphysician at the turn of the 19th century in the USA, regarded as ?a logician of the first rank?. At the time of his death in 1916, he had begun a substantial and potentially revolutionary project in logic in which he sought to show the connection between logic and ethics, aesthetics, and metaphysics. His system was developed in light of the work of Bertrand Russell and A. (...) B. Kempe and aimed to include Russell's logic as a subsystem. This more comprehensive logic, which Royce called system Σ, brought together an analysis of the character of experience and knowledge with the principles which served to organize interests and direct actions. The result was to be a logical theory framed by ?a profoundly ethical motive as well as a genuinely intellectual one? that would serve as ?a theory of the way in which activities must go on if they go on at all?. This paper examines three stages in the development of Royce's logical system, its relation to the logic of Principia Mathematica, and prospects for its further development. (shrink)

Hermann Lotze was a key figure in the philosophy of the second half of the 19th century, influencing practically all leading philosophical schools of the late 19th and the early 20th century: (i) the neo-Kantians; (ii) Brentano and his school of descriptive psychology; (iii) the British idealists; (iv) Husserl’s phenomenology; (v) Dilthey’s philosophy of life; (vi) Frege’s new logic; (vii) the early Cambridge analytic philosophy; (viii) William James’s pragmatism. The book first presents the main ideas (...) of Hermann Lotze’s philosophy (Part I), and then traces his influence on the descriptive psychology of Franz Brentano and Carl Stumpf (Part 2) and Cambridge analytic philosophy (Part 3). In addition, the book includes Bertrand Russell’s conspectus of J. E. McTaggart’s 1898 lectures on Lotze. (shrink)

This paper interprets Heidegger's frequently misunderstood criticisms of logic by presenting them in their historical context. To this end, it surveys the state of logic in the late 19th century and presents the main systematic conception of neo-Kantian logical idealism, noting Heidegger's own early involvement in these schools of thought. The paper goes on to present arguments from Heidegger's earliest lectures in which he develops both the phenomenology of everydayness and his criticisms of logic in (...) an attempt to undermine the neo-Kantian conception. These two approaches turn out to be inseparable in Heidegger's thought. Heidegger's criticism of logic amounts to a rejection of the claim that the possibility of experiencing objects is entirely grounded in logical constitution by the spontaneous understanding. There are other, more fundamental modes of disclosing objects. Heidegger is defended against the charge or irrationalism. The paper ends by interpreting the most important logic-related claims of What is Metaphysics? and outlining a Heideggerian response to Carnap's famous criticisms. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:NOTES AND DISCUSSIONS 69 in pre-Socratic scholarship. But he does not do justice to the religious mood which pervades the whole poem (a mood which is set by the prologue which casts the whole work into the form of some kind of religious revelation). The prologue is considerably more than a mere literary device, and the poem is more than logic. Generally, Jaeger9 and Guthrie are surely correct (...) in their judgment that any adequate interpretation of Parmenides' work (as well as that of the other early Greek thinkers) must be willing to take into account its essentially theological character and religious inspirationl~ not always grasped through strict analysis and exegesis. g Theolooy of the Early C-reekPhilosophers, trans. Edward S. Robinson (Oxford, 1947), p. lff, 90ft. agCf. Guthrie's excellent statement: "...Parmenides was at one with Heraclitus in claiming a prophetic or apocalyptic authority for his teaching." And again, the Greeks believed in "an inspiration whereby-the poet is granted deeper insight into the truth than other men" (p. 6). ED. L. MILLER University of Colorado AN UNKNOWN SEVENTEENTH-CENTURY FRENCH TRANSLATION OF SEXTUS EMPIRICUS* I. Introduction Included in a collection of manuscripts and early printed books recently acquired by the Library of the University of California, Los Angeles, from the Paris bookdealer Paul Jammes ~ are three manuscripts attributed to a certain Nicolas de la Toison, Baron de Bussy. Two of the three volumes contain extensive Latin commentaries on the major writings of Aristotle.2 The third is a miscellaneous volume written in three different hands, which contains, among other things, a complete French translation of the extant writings of Sextus Empiricus (c. A.D. 160-210).3 I * I would like to express my thanks to Mr. Richard O'Brien, Western European Bibliographer of the UCLA Library, for his help in numerous ways, who made it possible for me to consult this material during my sojourn in Los Angeles, even before it had been officially catalogued by the Library. I would also like to thank Professors Donald Kalish and Robert Yost of the UCLA Department of Philosophy for their support in making it possible for the collection to be purchased. 1For a brief description of the collection as a whole see Charles B. Schmitt, "Acquisition of Early French Books and Manuscripts", UCLA Librarian, XIX (1966)~25. 2These two manuscripts are bound m red leather with gold tooling. Thear present shelf mark is Collection 968, Box 2. On the spines is written: (1) PHILOSOPHIA.TO.I, and (2) METAPHYSIC ET PHYSICA TO.2. They measure approximately 10 X 14 cm. and each contains about 600fois. At the beginning of Vol. I, in a later hand (19th century?), we read: "Nicolas de la Thoison, baron de Bussy, qui 6crivit ces m6moires, 6tait conseiller laic au Parlement de Bourgogne. Il fur pourru par la r6signation de Pierre Catherine le IV Ddcembre M.DC.XLV et regu le XXIX janvier M.DC.XLVI. I1portait: de queueles dune bands d'or charges en coeur d'une quints feuiUe d'azur--ainsi qu'on le volt dans le Parlement de Bourgogne [Dijon, 1649]de Pierre PaiUot, p. 326." There is also a drawing of the coat-of-arms which has been described. That the de la Toison coat-of-arms is a quintefeuille is verified by Theodore de Renesse, Dictionnaire des figures h$raldiques (Brussels, 1894-1903) III, 461. The passage cited above from the manuscript is directly quoted from Pierre Paillot, Le Parlement de Bouroongne [I], son origins, son $tablissemerit, et son progr~s (Dijon, 1649), p. 326. s A description of this manuscript will be found in the Appendix. 70 HISTORY OF PHILOSOPHY shall here only give a preliminary survey of this third manuscript, pointing out some of the more interesting features and mentioning some problems connected with it which should be investigated further in more detail. As is now well-known the writings of Sextus Empiricus, which form the major extant compendium of ancient skeptical philosophy, had quite a significant impact on sixteenth and seventeenth-eentury thought, after their reintroduction in the sixteenth century. ~ Sextus' works were available in printed Latin editions after 15695 and the Greek text was printed in... (shrink)

In this article I explain three puzzling features of Simplicius’ use of syllogistic reconstructions in his commentary on Aristotle’s Physics: (1) Why does he reconstruct Aristotle’s non-argumentative remarks? (2) Why does he identify the syllogistic figure of an argument but does not explicitly present its reconstruction? (3) Why in certain lemmata does he present several reconstructions of the same argument? Addressing these questions, I argue that these puzzling features are an expression of Simplicius’ assumption that formal reasoning underlies Aristotle’s prose, (...) hence they reflect his attempt to capture as faithfully as possible Aristotle’s actual mode of reasoning. I show further that, as a consequence of this seemingly descriptive use of syllogistic reconstructions, logic serves Simplicius not only as an expository and clarificatory tool of certain interpretations or philosophical views, but also motivates and shapes his exegetical stances and approach. (shrink)

An Invitation to Formal Reasoning introduces the discipline of formal logic by means of a powerful new system formulated by Fred Sommers. This system, term logic, is different in a number of ways from the standard system employed in modern logic; most striking is its greater simplicity and naturalness. Based on a radically different theory of logical syntax than the one Frege used when initiating modern mathematical logic in the 19th Century, term logic (...) borrows insights from Aristotle's syllogistic, Scholastic logicians, Leibniz, and the 19th century British algebraists. Term logic takes its syntax directly from natural language, construing statements as combinations of pairs of terms, where complex terms are taken to have the same syntax as statements. Whereas standard logic requires extensive 'translation' from natural language to symbolic language, term logic requires only 'transcription' into the symbolic language. Its naturalness is the result of its ability to stay close to the forms of sentences usually found in every day discourse. Written by the founders of the term logic approach, An Invitation to Formal Reasoning is a unique introduction and exploration of this new system, offering numerous exercises and examples throughout the text. Summarising the standard system of mathematical logic to set term logic in context, and showing how the two systems compare, this book presents an alternative approach to standard modern logic for those studying formal logic, philosophy of language or computer theory. Fred Sommers is Professor Emeritus, Brandeis University, USA; George Englebretsen is Professor of Philosophy, Bishop's University, Canada. (shrink)

Using a contextual method the specific development of logic between c. 1830 and 1930 is explained. A characteristic mark of this period is the decomposition of the complex traditional philosophical omnibus discipline logic into new philosophical subdisciplines and separate disciplines such as psychology, epistemology, philosophy of science, and formal logic. In the 19th century a growing foundational need in mathematics provoked the emergence of a structural view on mathematics and the reformulation of logic for (...) mathematical means. As a result formallogic was taken over by mathematics in the beginning of the 20th century as is shown by sketching the German example. (shrink)

This volume examines the entire logical and philosophical production of Nikolai A. Vasil’ev, studying his life and activities as a historian and man of letters. Readers will gain a comprehensive understanding of this influential Russian logician, philosopher, psychologist, and poet. The author frames Vasil’ev’s work within its historical and cultural context. He takes into consideration both the situation of logic in Russia and the state of logic in Western Europe, from the end of the 19th century (...) to the beginning of the 20th. Following this, the book considers the attempts to develop non-Aristotelian logics or ideas that present affinities with imaginary logic. It then looks at the contribution of traditional logic in elaborating non-classical ideas. This logic allows the author to deal with incomplete objects just as imaginary logic does with contradictory ones. Both logics are objects of interesting analysis by modern researchers. (shrink)

This book sets out for the first time in English and in the terms of modern logic the semantics of the Port Royal Logic of Antoine Arnauld and Pierre Nicole, perhaps the most influential logic book in the 17th and 18th centuries. Its goal is to explain how the Logic reworks the foundation of pre-Cartesian logic so as to make it compatible with Descartes' metaphysics. The Logic's authors forged a new theory of reference based (...) on the medieval notion of objective being, which is essentially the modern notion of intentional content. Indeed, the book's central aim is to detail how the Logic reoriented semantics so that it centered on the notion of intentional content. This content, which the Logic calls comprehension, consists of an idea's defining modes. Mechanisms are defined in terms of comprehension that rework earlier explanations of central notions like conceptual inclusion, signification, abstraction, idea restriction, sensation, and most importantly within the Logic's metatheory, the concept of idea-extension, which is a new technical concept coined by the Logic. Although Descartes is famous for rejecting "Aristotelianism," he says virtually nothing about technical concepts in logic. His followers fill the gap. By putting to use the doctrine of objective being, which had been a relatively minor part of medieval logic, they preserve more central semantic doctrines, especially a correspondence theory of truth. A recurring theme of the book is the degree to which the Logic hews to medieval theory. This interpretation is at odds with what has become a standard reading among French scholars according to which this 16th-century work should be understood as rejecting earlier logic along with Aristotelian metaphysics, and as putting in its place structures more like those of 19th-century class theory. (shrink)

This is the first full assessment of British philosophy in the 19th century. Specially written essays by leading experts explore the work of the key thinkers of this remarkable period in intellectual history, covering logic and scientific method, metaphysics, religion, positivism, the impact of Darwin, and ethical, social, and political theory.

In this article we present a notion of “logical perfection”. We first describe through examples a notion of logical perfection extracted from the contemporary logical concept of categoricity. Categoricity (in power) has become in the past half century a main driver of ideas in model theory, both mathematically (stability theory may be regarded as a way of approximating categoricity) and philosophically. In the past two decades, categoricity notions have started to overlap with more classical notions of robustness and smoothness. (...) These have been crucial in various parts of mathematics since the nineteenth century. We postulate and present the category of logical perfection. We draw on various notions of perfection from mathematics of the 19th and 20th centuries and then trace the relation to the concept of categoricity in power as a logical notion of what a “mathematically perfect” structure is. (shrink)

The connection of Hermann Сohen’s “The Logic of Pure Knowledge” with the revolutionary transformations in physics and mathematics at the end of the 19th century is shown. Сohen criticised Kant’s answer to the question “How is mathematics possible”? If Kant refers to a priori forms of pure intuition, Сohen sees in it a restriction of freedom of mathematical thinking by limits of intuition. It has been shown that Cohen's position is in accordance with the main development of (...) mathematics in the last decades of the 19th century, in particular, with K. Weierstrass’ striving to get rid of geometrical or mechanical images and intuitions in the mathematical analysis. Cohen was also well informed about the latest ideas in physics of his time. They are also discussed in “The Logic of Pure Knowledge.” The revolutionary spirit of physics and mathematics was appealing to Cohen, and he felt a corresponding enthusiasm for it. The ongoing scientific revolution is consonant with Cohen’s assertion that the foundations of science are hypotheses. The purity of pure thinking does not guarantee the correctness of any of its constructions. Each step in the development of science requires a critique of existing notions. The development of knowledge from the naive to the critical one shows a movement from a picture of the world as a set of stable things to a picture of continuous movement and change, where change is more important than what changes. Cohen sees such a development in an evolution of the concept of substance in modern physics and he welcomes the replacement of material substance by energy, seeing this movement as a confirmation of critical idealism. Finally, it is discussed whether we can speak of the actuality of Cohen’s logic of pure knowledge. (shrink)