Bolzano S Logical System
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Bolzano S Logical System
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Author : Ettore Casari
language : en
Publisher: Oxford University Press
Release Date : 2016
Bolzano S Logical System written by Ettore Casari and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematics categories.
A unique new book exploring Bernard Bolzano's Wissenschaftslehre (Theory of Science) and introducing a formal system to examine the logic presented in Bolzano's work.
Bolzano S Logical System
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Author : Ettore Casari
language : en
Publisher: Oxford University Press
Release Date : 2016-11-17
Bolzano S Logical System written by Ettore Casari and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-17 with Philosophy categories.
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).
Essays On Husserl S Logic And Philosophy Of Mathematics
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Author : Stefania Centrone
language : en
Publisher: Springer
Release Date : 2017-09-07
Essays On Husserl S Logic And Philosophy Of Mathematics written by Stefania Centrone and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-07 with Philosophy categories.
Essays on Husserl’s Logic and Philosophy of Mathematics sets out to fill up a lacuna in the present research on Husserl by presenting a precise account of Husserl’s work in the field of logic, of the philosophy of logic and of the philosophy of mathematics. The aim is to provide an in-depth reconstruction and analysis of the discussion between Husserl and his most important interlocutors, and to clarify pivotal ideas of Husserl’s by considering their reception and elaboration by some of his disciples and followers, such as Oskar Becker and Jacob Klein, as well as their influence on some of the most significant logicians and mathematicians of the past century, such as Luitzen E. J. Brouwer, Rudolf Carnap, Kurt Gödel and Hermann Weyl. Most of the papers consider Husserl and another scholar – e.g. Leibniz, Kant, Bolzano, Brentano, Cantor, Frege – and trace out and contextualize lines of influence, points of contact, and points of disagreement. Each essay is written by an expert of the field, and the volume includes contributions both from the analytical tradition and from the phenomenological one.
Bolzano S Philosophy Of Grounding
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Author : Stefan Roski
language : en
Publisher: Oxford University Press
Release Date : 2022-02-24
Bolzano S Philosophy Of Grounding written by Stefan Roski and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-24 with Philosophy categories.
One of the liveliest debates in contemporary philosophy concerns the notions of grounding and metaphysical explanation. Many consider these notions to be of prime importance for metaphysics and the philosophy of explanation, or even for philosophy in general, and lament that they had been neglected for far too long. Although the current debate about grounding is of recent origin, its central ideas have a long and rich history in Western philosophy, going back at least to the works of Plato and Aristotle. Bernard Bolzano's theory of grounding, developed in the first half of the nineteenth century, is a peak in the history of these ideas. On Bolzano's account, grounding lies at the heart of a broad conception of explanation encompassing both causal and non-causal cases. Not only does his theory exceed most earlier theories in scope, depth, and rigour, it also anticipates a range of ideas that take a prominent place in the contemporary debate. But despite the richness and modernity of his theory, it is known only by a comparatively small circle of philosophers predominantly consisting of Bolzano scholars. Bolzano's Philosophy of Grounding is meant to make Bolzano's ideas on grounding accessible to a broader audience. The book gathers translations of Bolzano's most important writings on these issues, including material that has hitherto not been available in English. Additionally, it contains a survey article on Bolzano's conception and nine research papers critically assessing elements of the theory and/or exploring its broad range of applications in Bolzano's philosophy and beyond.
Divined Explanations The Theological And Philosophical Context For The Development Of The Sciences 1600 2000
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Author :
language : en
Publisher: BRILL
Release Date : 2024-12-02
Divined Explanations The Theological And Philosophical Context For The Development Of The Sciences 1600 2000 written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-02 with Philosophy categories.
Critical junctures in the historical development of science owe their origins to ideas, concepts, and theories that became definitive in the minds of leading scientists who lived in a more or less religious culture. Scientists are never solitary, but always internal to a network of scientific relationships and friendships. They have a well-attested genius, nurtured not only by their scientific training but also by ideas and stimuli received from the cultural and social contexts in which they lived. In particular, metaphysical and theological aspirations guided the genesis of many scientific ideas. This book offers twelve examples of the development of scientific ideas that were shaped by religious factors and which changed the course of science itself. The interwoven nature of science, philosophy, theology, and culture is pervasive in these cases, thus demonstrating that throughout the modern era, natural philosophy enjoyed a deep coherence with theology. That entanglement lingers in the minds of scientists into the contemporary period, and it continues to nourish scientific creativity in subtle and profound ways. New explanations of the world have emerged through illuminative, revolutionary and, one might say, divined ways.
Aristotle S Syllogism And The Creation Of Modern Logic
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Author : Lukas M. Verburgt
language : en
Publisher: Bloomsbury Publishing
Release Date : 2023-01-26
Aristotle S Syllogism And The Creation Of Modern Logic written by Lukas M. Verburgt and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-26 with Philosophy categories.
Offering a bold new vision on the history of modern logic, Lukas M. Verburgt and Matteo Cosci focus on the lasting impact of Aristotle's syllogism between the 1820s and 1930s. For over two millennia, deductive logic was the syllogism and syllogism was the yardstick of sound human reasoning. During the 19th century, this hegemony fell apart and logicians, including Boole, Frege and Peirce, took deductive logic far beyond its Aristotelian borders. However, contrary to common wisdom, reflections on syllogism were also instrumental to the creation of new logical developments, such as first-order logic and early set theory. This volume presents the period under discussion as one of both tradition and innovation, both continuity and discontinuity. Modern logic broke away from the syllogistic tradition, but without Aristotle's syllogism, modern logic would not have been born. A vital follow up to The Aftermath of Syllogism, this book traces the longue durée history of syllogism from Richard Whately's revival of formal logic in the 1820s through the work of David Hilbert and the Göttingen school up to the 1930s. Bringing together a group of major international experts, it sheds crucial new light on the emergence of modern logic and the roots of analytic philosophy in the 19th and early 20th centuries.
A M
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Author : Thomas A. Sebeok
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-05-18
A M written by Thomas A. Sebeok and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-18 with Language Arts & Disciplines categories.
No detailed description available for "A - M".
The Routledge Handbook Of Metaphysical Grounding
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Author : Michael J. Raven
language : en
Publisher: Routledge
Release Date : 2020-05-04
The Routledge Handbook Of Metaphysical Grounding written by Michael J. Raven and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-04 with Philosophy categories.
Some of philosophy’s biggest questions, both historically and today, are in-virtue-of questions: In virtue of what is an action right or wrong? In virtue of what am I the same person my mother bore? In virtue of what is an artwork beautiful? Philosophers attempt to answer many of these types of in-virtue-of questions, but philosophers are also increasingly focusing on what an in-virtue-of question is in the first place. Many assume, at least as a working hypothesis, that in-virtue-of questions involve a distinctively metaphysical kind of determinative explanation called “ground.” This Handbook surveys the state of the art on ground as well as its connections and applications to other topics. The central issues of ground are discussed in 37 chapters, all written exclusively for this volume by a wide range of leading experts. The chapters are organized into the following sections: I. History II. Explanation and Determination III. Logic and Structure IV. Connections V. Applications Introductions at the start of each section provide an overview of the section’s contents, and a list of Related Topics at the end of each chapter points readers to other germane areas throughout the volume. The resulting volume is accessible enough for advanced students and informative enough for researchers. It is essential reading for anyone hoping to get clearer on what the biggest questions of philosophy are really asking.
Residuated Structures In Algebra And Logic
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Author : George Metcalfe
language : en
Publisher: American Mathematical Society
Release Date : 2023-11-06
Residuated Structures In Algebra And Logic written by George Metcalfe and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-06 with Mathematics categories.
This book is an introduction to residuated structures, viewed as a common thread binding together algebra and logic. The framework includes well-studied structures from classical abstract algebra such as lattice-ordered groups and ideals of rings, as well as structures serving as algebraic semantics for substructural and other non-classical logics. Crucially, classes of these structures are studied both algebraically, yielding a rich structure theory along the lines of Conrad's program for lattice-ordered groups, and algorithmically, via analytic sequent or hypersequent calculi. These perspectives are related using a natural notion of equivalence for consequence relations that provides a bridge offering benefits to both sides. Algorithmic methods are used to establish properties like decidability, amalgamation, and generation by subclasses, while new insights into logical systems are obtained by studying associated classes of structures. The book is designed to serve the purposes of novices and experts alike. The first three chapters provide a gentle introduction to the subject, while subsequent chapters provide a state-of-the-art account of recent developments in the field.
Judgement And The Epistemic Foundation Of Logic
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Author : Maria van der Schaar
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-28
Judgement And The Epistemic Foundation Of Logic written by Maria van der Schaar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-28 with Philosophy categories.
This compelling reevaluation of the relationship between logic and knowledge affirms the key role that the notion of judgement must play in such a review. The commentary repatriates the concept of judgement in the discussion, banished in recent times by the logical positivism of Wittgenstein, Hilbert and Schlick, and the Platonism of Bolzano. The volume commences with the insights of Swedish philosopher Per Martin-Löf, the father of constructive type theory, for whom logic is a demonstrative science in which judgement is a settled feature of the landscape. His paper opens the first of four sections that examine, in turn, historical philosophical assessments of judgement and reason; their place in early modern philosophy; the notion of judgement and logical theory in Wolff, Kant and Neo-Kantians like Windelband; their development in the Husserlian phenomenological paradigm; and the work of Bolzano, Russell and Frege. The papers, whose authors include Per Martin-Löf, Göran Sundholm, Michael Della Rocca and Robin Rollinger, represent a finely judged editorial selection highlighting work on philosophers exercised by the question of whether or not an epistemic notion of judgement has a role to play in logic. The volume will be of profound interest to students and academicians for its application of historical developments in philosophy to the solution of vexatious contemporary issues in the foundation of logic.