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Author : Centro fiorentino di storia e filosofia della scienza
Publisher : Librarie Droz
Page : 242 pages
File Size : 46,7 Mb
Release : 1992
Category : Philosophy
ISBN : UOM:39015032592258
Author : Ettore Casari
Publisher : Oxford University Press
Page : 369 pages
File Size : 47,6 Mb
Release : 2016
Category : Mathematics
ISBN : 9780198788294
This book is focused on the first three parts of Bolzano's Theory of Sciene and introduces a more systematic reconsideration of Bolzano's logial thought. In undertaking this task, the book is intended as an exploration, not so much of the more specifically discursive aspects of Bolzano's logial thought - already amply studied - as muh as on identifying the singularly coherent and systematic nature of the logic presented in Bolzano's work. Casari presents this within a formal system and adopts the approach of the predicate calculus with identity and choice operator by using Hilbert's epsilon calculus (the logical formalism developed by David Hilbert in the service of his program in the foundations of mathematics).
Author : Dov M. Gabbay,John Woods
Publisher : Elsevier
Page : 781 pages
File Size : 43,8 Mb
Release : 2004-03-08
Category : Mathematics
ISBN : 9780080532875
With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The period covered is 1685-1900, with this volume carving out the territory from Leibniz to Frege. What is striking about this period is the earliness and persistence of what could be called 'the mathematical turn in logic'. Virtually every working logician is aware that, after a centuries-long run, the logic that originated in antiquity came to be displaced by a new approach with a dominantly mathematical character. It is, however, a substantial error to suppose that the mathematization of logic was, in all essentials, Frege's accomplishment or, if not his alone, a development ensuing from the second half of the nineteenth century. The mathematical turn in logic, although given considerable torque by events of the nineteenth century, can with assurance be dated from the final quarter of the seventeenth century in the impressively prescient work of Leibniz. It is true that, in the three hundred year run-up to the Begriffsschrift, one does not see a smoothly continuous evolution of the mathematical turn, but the idea that logic is mathematics, albeit perhaps only the most general part of mathematics, is one that attracted some degree of support throughout the entire period in question. Still, as Alfred North Whitehead once noted, the relationship between mathematics and symbolic logic has been an "uneasy" one, as is the present-day association of mathematics with computing. Some of this unease has a philosophical texture. For example, those who equate mathematics and logic sometimes disagree about the directionality of the purported identity. Frege and Russell made themselves famous by insisting (though for different reasons) that logic was the senior partner. Indeed logicism is the view that mathematics can be re-expressed without relevant loss in a suitably framed symbolic logic. But for a number of thinkers who took an algebraic approach to logic, the dependency relation was reversed, with mathematics in some form emerging as the senior partner. This was the precursor of the modern view that, in its four main precincts (set theory, proof theory, model theory and recursion theory), logic is indeed a branch of pure mathematics. It would be a mistake to leave the impression that the mathematization of logic (or the logicization of mathematics) was the sole concern of the history of logic between 1665 and 1900. There are, in this long interval, aspects of the modern unfolding of logic that bear no stamp of the imperial designs of mathematicians, as the chapters on Kant and Hegcl make clear. Of the two, Hcgel's influence on logic is arguably the greater, serving as a spur to the unfolding of an idealist tradition in logic - a development that will be covered in a further volume, British Logic in the Nineteenth Century.
Author : Paul Rusnock,Jan Sebestík
Publisher : Oxford University Press
Page : 544 pages
File Size : 49,7 Mb
Release : 2019-04-25
Category : Philosophy
ISBN : 9780192556837
Bernard Bolzano (1781-1850) is increasingly recognized as one of the greatest nineteenth-century philosophers. A philosopher and mathematician of rare talent, he made ground-breaking contributions to logic, the foundations and philosophy of mathematics, metaphysics, and the philosophy of religion. Many of the larger features of later analytic philosophy (but also many of the details) first appear in his work: for example, the separation of logic from psychology, his sophisticated understanding of mathematical proof, his definition of logical consequence, his work on the semantics of natural kind terms, or his anticipations of Cantor's set theory, to name but a few. To his contemporaries, however, he was best known as an intelligent and determined advocate for reform of Church and State. Based in large part on a carefully argued utilitarian practical philosophy, he developed a program for the non-violent reform of the authoritarian institutions of the Hapsburg Empire, a program which he himself helped to set in motion through his teaching and other activities. Rarely has a philosopher had such a great impact on the political culture of his homeland. Persecuted in his lifetime by secular and ecclesiastical authorities, long ignored or misunderstood by philosophers, Bolzano's reputation has nevertheless steadily increased over the past century and a half. Much discussed and respected in Central Europe for over a century, he is finally beginning to receive the recognition he deserves in the English-speaking world. This book provides a comprehensive and detailed critical introduction to Bolzano, covering both his life and works.
Author : Michael Beaney
Publisher : Oxford University Press
Page : 1182 pages
File Size : 49,5 Mb
Release : 2013-06-20
Category : Philosophy
ISBN : 9780199238842
The main stream of academic philosophy, in Anglophone countries and increasingly worldwide, is identified by the name 'analytic'. The study of its history, from the 19th century to the late 20th, has boomed in recent years. These specially commissioned essays by forty leading scholars constitute the most comprehensive book on the subject.
Author : Stefan Roski,Benjamin Schnieder
Publisher : Oxford University Press
Page : 473 pages
File Size : 40,8 Mb
Release : 2022
Category : Mathematics
ISBN : 9780192847973
"Provides translations of Bolzano's most important work on grounding, including previously untranslated material"--
Author : K. Kijania-Placek,Jan Wolenski
Publisher : Springer Science & Business Media
Page : 395 pages
File Size : 53,9 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789401151085
This collection celebrates the centenary of the Lvov-Warsaw school, established by Kazimierz Twardowski in Lvov in 1895. This school belongs to analytic philosophy and successfully worked in all branches of philosophy. The Warsaw school of logic became perhaps the most important part of Twardowski's heritage. Lesniewski, Lukasiewicz and Tarski, leading Polish logicians, achieved results which essentially influenced the development of contemporary logic. A close connection of logic and philosophy was a typical feature of the Lvov-Warsaw school. The papers included in the collection deal with all directions of research undertaken by Polish analytic philosophers. Special attention is paid to logic and comparisons with other philosophical movements, particularly with Brentanism, which was one of the sources of the Lvov-Warsaw school.
Author : Paul Rusnock
Publisher : Rodopi
Page : 228 pages
File Size : 45,7 Mb
Release : 2000
Category : Mathematics
ISBN : 9042015012
Author : Diego E. Machuca
Publisher : Springer Nature
Page : 290 pages
File Size : 51,9 Mb
Release : 2022-03-28
Category : Philosophy
ISBN : 9783030912109
This book explores the nature and significance of Pyrrhonism, the most prominent and influential form of skepticism in Western philosophy. Not only did Pyrrhonism play an important part in the philosophical scene of the Hellenistic and Imperial age, but it also had a tremendous impact on Renaissance and modern philosophy and continues to be a topic of lively discussion among both scholars of ancient philosophy and epistemologists. The focus and inspiration of the book is the brand of Pyrrhonism expounded in the extant works of Sextus Empiricus. Its aim is twofold: to offer a critical interpretation of some of the central aspects of Sextus’s skeptical outlook and to examine certain debates in contemporary philosophy from a neo-Pyrrhonian perspective. The first part explores the aim of skeptical inquiry, the defining features of Pyrrhonian argumentation, the epistemic challenge posed by the Modes of Agrippa, and the Pyrrhonist’s stance on the requirements of rationality. The second part focuses on present-day discussions of the epistemic significance of disagreement, the limits of self-knowledge, and the nature of rationality. The book will appeal to researchers and graduate students interested in skepticism.
Author : Stefania Centrone
Publisher : Springer Science & Business Media
Page : 250 pages
File Size : 54,5 Mb
Release : 2009-12-01
Category : Philosophy
ISBN : 9789048132461
Logic and Philosophy of Mathematics in the Early Husserl focuses on the first ten years of Edmund Husserl’s work, from the publication of his Philosophy of Arithmetic (1891) to that of his Logical Investigations (1900/01), and aims to precisely locate his early work in the fields of logic, philosophy of logic and philosophy of mathematics. Unlike most phenomenologists, the author refrains from reading Husserl’s early work as a more or less immature sketch of claims consolidated only in his later phenomenology, and unlike the majority of historians of logic she emphasizes the systematic strength and the originality of Husserl’s logico-mathematical work. The book attempts to reconstruct the discussion between Husserl and those philosophers and mathematicians who contributed to new developments in logic, such as Leibniz, Bolzano, the logical algebraists (especially Boole and Schröder), Frege, and Hilbert and his school. It presents both a comprehensive critical examination of some of the major works produced by Husserl and his antagonists in the last decade of the 19th century and a formal reconstruction of many texts from Husserl’s Nachlaß that have not yet been the object of systematical scrutiny. This volume will be of particular interest to researchers working in the history, and in the philosophy, of logic and mathematics, and more generally, to analytical philosophers and phenomenologists with a background in standard logic.
Author : Leila Haaparanta,Heikki J. Koskinen
Publisher : Oxford University Press
Page : 576 pages
File Size : 42,5 Mb
Release : 2012-06-19
Category : Philosophy
ISBN : 9780199890583
This edited volume is a comprehensive presentation of views on the relations between metaphysics and logic from Aristotle through twentieth century philosophers who contributed to the return of metaphysics in the analytic tradition. The collection combines interest in logic and its history with interest in analytical metaphysics and the history of metaphysical thought. By so doing, it adds both to the historical understanding of metaphysical problems and to contemporary research in the field. Throughout the volume, essays focus on metaphysica generalis, or the systematic study of the most general categories of being. Beginning with Aristotle and his Categories , the volume goes on to trace metaphyscis and logic through the late ancient and Arabic traditions, examining the views of Thomas Aquinas, Duns Scotus, and William Ockham. Moving into the early modern period, contributors engage with Leibniz's metaphysics, Kant's critique of metaphysics, the relation between logic and ontology in Hegel, and Bolzano's views. Subsequent chapters address: Charles S. Peirce's logic and metaphysics; the relevance of set-theory to metaphysics; Meinong's theory of objects; Husserl's formal ontology; early analytic philosophy; C.I. Lewis and his relation to Russell; and the relations between Frege, Carnap, and Heidegger. Surveying metaphysics through to the contemporary age, essays explore W.V. Quine's attitude towards metaphysics; Wilfrid Sellars's relation to antidescriptivism as it connects to Kripke's; the views of Putnam and Kaplan; Peter F. Strawson's and David M. Armstrong's metaphysics; Trope theory; and its relation to Popper's conception of three worlds. The volume ends with a chapter on transcendental philosophy as ontology. In each chapter, contributors approach their topics not merely in an historical and exegetical fashion, but also engage critically with the thought of the philosophers whose work they discuss, offering synthesis and original philosophical thought in the volume, in addition to very extensive and well-informed analysis and interpretation of important philosophical texts. The volume will serve as an essential reference for scholars of metaphysics and logic.
Author : Anonim
Publisher : BRILL
Page : 508 pages
File Size : 43,7 Mb
Release : 2016-08-01
Category : Literary Criticism
ISBN : 9789401203371
“The influence of [Kazimierz] Twardowski on modern philosophy in Poland is all-pervasive. Twardowski instilled in his students a passion for clarity [...] and seriousness. He taught them to regard philosophy as a collaborative effort, a matter of disciplined discussion and argument, and he encouraged them to train themselves thoroughly in at least one extra-philosophical discipline and to work together with scientists from other fields, both inside Poland and internationally. This led above all [...] to collaborations with mathematicians, so that the Lvov school of philosophy would gradually evolve into the Warsaw school of logic [...]. Twardowski taught his students, too, to respect and to pursue serious research in the history of philosophy, an aspect of the tradition of philosophy on Polish territory which is illustrated in such disparate works as [Jan] Łukasiewicz’s ground-breaking monograph on the law of non-contradiction in Aristotle and [Władysław] Tatarkiewicz’s highly influential multi-volume histories of philosophy and aesthetics [...] The term ‘Polish philosophy’ is a misnomer [...] for Polish philosophy is philosophy per se; it is part and parcel of the mainstream of world philosophy – simply because [...] it meets international standards of training, rigour, professionalism and specialization.” – Barry Smith (from: “Why Polish Philosophy does Not Exist”)
Author : David Hitchcock
Publisher : Springer
Page : 553 pages
File Size : 47,5 Mb
Release : 2017-04-06
Category : Philosophy
ISBN : 9783319535623
This book brings together in one place David Hitchcock’s most significant published articles on reasoning and argument. In seven new chapters he updates his thinking in the light of subsequent scholarship. Collectively, the papers articulate a distinctive position in the philosophy of argumentation. Among other things, the author:• develops an account of “material consequence” that permits evaluation of inferences without problematic postulation of unstated premises.• updates his recursive definition of argument that accommodates chaining and embedding of arguments and allows any type of illocutionary act to be a conclusion. • advances a general theory of relevance.• provides comprehensive frameworks for evaluating inferences in reasoning by analogy, means-end reasoning, and appeals to considerations or criteria.• argues that none of the forms of arguing ad hominem is a fallacy.• describes proven methods of teaching critical thinking effectively.
Author : Luca Castagnoli,Paolo Fait
Publisher : Cambridge University Press
Page : 445 pages
File Size : 51,5 Mb
Release : 2023-03-02
Category : Philosophy
ISBN : 9781009302562
This Companion provides a comprehensive guide to ancient logic. The first part charts its chronological development, focussing especially on the Greek tradition, and discusses its two main systems: Aristotle's logic of terms and the Stoic logic of propositions. The second part explores the key concepts at the heart of the ancient logical systems: truth, definition, terms, propositions, syllogisms, demonstrations, modality and fallacy. The systematic discussion of these concepts allows the reader to engage with some specific logical and exegetical issues and to appreciate their transformations across different philosophical traditions. The intersections between logic, mathematics and rhetoric are also explored. The third part of the volume discusses the reception and influence of ancient logic in the history of philosophy and its significance for philosophy in our own times. Comprehensive coverage, chapters by leading international scholars and a critical overview of the recent literature in the field will make this volume essential for students and scholars of ancient logic.
Author : Rudolf Haller,Johannes Brandl
Publisher : Unknown
Page : 346 pages
File Size : 55,8 Mb
Release : 1990
Category : Philosophy
ISBN : UOM:39015029735480
