Essays on Husserl's Logic and Philosophy of Mathematics

Author: Stefania Centrone

Publisher: Springer

ISBN: 9402411321

Category: Philosophy

Page: 526

View: 9457

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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.
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The New Yearbook for Phenomenology and Phenomenological Philosophy

Author: Burt Hopkins,John Drummond

Publisher: Routledge

ISBN: 1317591119

Category: Philosophy

Page: 370

View: 8490

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The New Yearbook for Phenomenology and Phenomenological Philosophy provides an annual international forum for phenomenological research in the spirit of Husserl's groundbreaking work and the extension of this work by such figures as Scheler, Heidegger, Sartre, Levinas, Merleau-Ponty and Gadamer.
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Logic and Philosophy of Mathematics in the Early Husserl

Author: Stefania Centrone

Publisher: Springer Science & Business Media

ISBN: 9048132479

Category: Philosophy

Page: 232

View: 9190

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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.
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Logic and General Theory of Science

Author: Edmund Husserl

Publisher: Springer Nature

ISBN: 3030145298

Category: Philosophy

Page: 437

View: 930

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The stated subject of these lecture courses given by Husserlbetween 1910 and 1918is ‘reason, the word for the mental activities and accomplishments that govern knowledge, give it form and supply it with norms.’ They show their author still pursuing the course set out in the Logical Investigations up to the end of the second decade of the century and displaying utter consistency with stands that he began taking on meaning, analyticity, Platonism, manifolds, mathematics, psychologism, etc. in the 1890s. Thus, they undermine many idées reçues about the development of his thought. The centerpiece of this work is an exploration of the realm of meaning. Moreover, they add new dimensions to standard discussions by taking readers back to the place where phenomenology and analytic philosophy diverged. They show that Husserl tangled long and hard with the very ideas that went into the making of the latter and offer a wealth of interesting insights into sense and meaning, theory of judgment, complete and incomplete meanings, states of affairs, extensional logic, the relationship between logic and mathematics, functions and arguments, propositional functions, quantification, existential generalization, the word ‘all,’ number theory, sets, modality, deductive theory, ideas that are still under discussion today. Prepared for oral delivery in the classroom, they are refreshingly lively and spontaneous. They are clearer, more explicit, and readable than the books Husserl published during his lifetime.
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Rediscovering Phenomenology

Phenomenological Essays on Mathematical Beings, Physical Reality, Perception and Consciousness

Author: Luciano Boi,Pierre Kerszberg,Frédéric Patras

Publisher: Springer Science & Business Media

ISBN: 1402058810

Category: Philosophy

Page: 401

View: 6070

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This book proposes a new phenomenological analysis of the questions of perception and cognition which are of paramount importance for a better understanding of those processes which underlies the formation of knowledge and consciousness. It presents many clear arguments showing how a phenomenological perspective helps to deeply interpret most fundamental findings of current research in neurosciences and also in mathematical and physical sciences.
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From Kant to Davidson

Philosophy and the Idea of the Transcendental

Author: Jeff Malpas

Publisher: Routledge

ISBN: 1134468059

Category: Philosophy

Page: 272

View: 6868

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Recent philosophy has seen the idea of the transcendental, first introduced in its modern form in the work of Kant, take on a new prominence. Bringing together an international range of younger philosophers and established thinkers, this volume opens up the idea of the transcendental, examining it not merely as a mode of argument, but as naming a particular problematic and a philosophical style. With contributions engaging with both analytic and continental approaches, this book will be of essential interest to philosophers and philosophy students interested in the idea of the transcendental and the part that it plays in modern and contemporary philosophy.
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The Crisis of European Sciences and Transcendental Phenomenology

An Introduction to Phenomenological Philosophy

Author: Edmund Husserl

Publisher: Northwestern University Press

ISBN: 9780810104587

Category: Philosophy

Page: 405

View: 6145

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The Crisis of European Sciences and Transcendental Phenomenology, Husserl's last great work, is important both for its content and for the influence it has had on other philosophers. In this book, which remained unfinished at his death, Husserl attempts to forge a union between phenomenology and existentialism. Husserl provides not only a history of philosophy but a philosophy of history. As he says in Part I, "The genuine spiritual struggles of European humanity as such take the form of struggles between the philosophies, that is, between the skeptical philosophies--or nonphilosophies, which retain the word but not the task--and the actual and still vital philosophies. But the vitality of the latter consists in the fact that they are struggling for their true and genuine meaning and thus for the meaning of a genuine humanity."
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Philosophy of Arithmetic

Psychological and Logical Investigations - with Supplementary Texts from 1887-1901

Author: Edmund Husserl

Publisher: Springer Science & Business Media

ISBN: 9781402015465

Category: Mathematics

Page: 513

View: 5318

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In his first book, Philosophy of Arithmetic, Edmund Husserl provides a carefully worked out account of number as a categorial or formal feature of the objective world, and of arithmetic as a symbolic technique for mastering the infinite field of numbers for knowledge. It is a realist account of numbers and number relations that interweaves them into the basic structure of the universe and into our knowledge of reality. It provides an answer to the question of how arithmetic applies to reality, and gives an account of how, in general, formalized systems of symbols work in providing access to the world. The "appendices" to this book provide some of Husserl's subsequent discussions of how formalisms work, involving David Hilbert's program of completeness for arithmetic. "Completeness" is integrated into Husserl's own problematic of the "imaginary", and allows him to move beyond the analysis of "representations" in his understanding of the logic of mathematics. Husserl's work here provides an alternative model of what "conceptual analysis" should be - minus the "linguistic turn", but inclusive of language and linguistic meaning. In the process, he provides case after case of "Phenomenological Analysis" - fortunately unencumbered by that title - of the convincing type that made Husserl's life and thought a fountainhead of much of the most important philosophical work of the twentieth Century in Europe. Many Husserlian themes to be developed at length in later writings first emerge here: Abstraction, internal time consciousness, polythetic acts, acts of higher order ('founded' acts), Gestalt qualities and their role in knowledge, formalization (as opposed to generalization), essence analysis, and so forth. This volume is a window on a period of rich and illuminating philosophical activity that has been rendered generally inaccessible by the supposed "revolution" attributed to "Analytic Philosophy" so-called. Careful exposition and critique is given to every serious alternative account of number and number relations available at the time. Husserl's extensive and trenchant criticisms of Gottlob Frege's theory of number and arithmetic reach far beyond those most commonly referred to in the literature on their views.
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Husserl's Logical Investigations Reconsidered

Author: D. Fisette

Publisher: Springer Science & Business Media

ISBN: 9401702071

Category: Philosophy

Page: 240

View: 3239

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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 logic, phenomenology, 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.
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Derrida and Husserl

The Basic Problem of Phenomenology

Author: Leonard Lawlor

Publisher: Indiana University Press

ISBN: 9780253109156

Category: Philosophy

Page: 304

View: 5143

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"[A] magnificent work... that will definitely shape the discussion on Derrida for years to come." -- Rodolphe Gasché What is the nature of the relationship of Jacques Derrida and deconstruction to Edmund Husserl and phenomenology? Is deconstruction a radical departure from phenomenology or does it trace its origins to the phenomenological project? In Derrida and Husserl, Leonard Lawlor illuminates Husserl's influence on the French philosophical tradition that inspired Derrida's thought. Beginning with Eugen Fink's pivotal essay on Husserl's philosophy, Lawlor carefully reconstructs the conceptual context in which Derrida developed his interpretation of Husserl. Lawlor's investigations of the work of Jean Cavaillà ̈s, Tran-Duc-Thao, and Jean Hyppolite, as well as recent texts by Derrida, reveal the depth of Derrida's relationship to Husserl's phenomenology. Along the way, Lawlor revisits and sheds light on the origin of many important Derridean concepts, such as deconstruction, the metaphysics of presence, différance, intentionality, the trace, and spectrality.
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