Logic from Kant to Russell

Logic from Kant to Russell PDF Author: Sandra Lapointe
Publisher: Routledge Studies in Nineteenth-Century Philosophy
ISBN: 9780815396321
Category : PHILOSOPHY
Languages : en
Pages : 256

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Book Description
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.

Logic from Kant to Russell

Logic from Kant to Russell PDF Author: Sandra Lapointe
Publisher: Routledge Studies in Nineteenth-Century Philosophy
ISBN: 9780815396321
Category : PHILOSOPHY
Languages : en
Pages : 256

Get Book Here

Book Description
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.

Formal and transcendental logic

Formal and transcendental logic PDF Author: Edmund Husserl
Publisher: Springer
ISBN: 9401749000
Category : Philosophy
Languages : en
Pages : 359

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Book Description
called in question, then naturally no fact, science, could be presupposed. Thus Plato was set on the path to the pure idea. Not gathered from the de facto sciences but formative of pure norms, his dialectic of pure ideas-as we say, his logic or his theory of science - was called on to make genuine 1 science possible now for the first time, to guide its practice. And precisely in fulfilling this vocation the Platonic dialectic actually helped create sciences in the pregnant sense, sciences that were consciously sustained by the idea of logical science and sought to actualize it so far as possible. Such were the strict mathematics and natural science whose further developments at higher stages are our modem sciences. But the original relationship between logic and science has undergone a remarkable reversal in modem times. The sciences made themselves independent. Without being able to satisfy completely the spirit of critical self-justification, they fashioned extremely differentiated methods, whose fruitfulness, it is true, was practically certain, but whose productivity was not clarified by ultimate insight. They fashioned these methods, not indeed with the everyday man's naivete, but still with a na!ivete of a higher level, which abandoned the appeal to the pure idea, the justifying of method by pure principles, according to ultimate a priori possibilities and necessities.

Kant on the Sources of Metaphysics

Kant on the Sources of Metaphysics PDF Author: Marcus Willaschek
Publisher: Cambridge University Press
ISBN: 110859607X
Category : Philosophy
Languages : en
Pages : 312

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Book Description
In the Critique of Pure Reason, Kant famously criticizes traditional metaphysics and its proofs of immortality, free will and God's existence. What is often overlooked is that Kant also explains why rational beings must ask metaphysical questions about 'unconditioned' objects such as souls, uncaused causes or God, and why answers to these questions will appear rationally compelling to them. In this book, Marcus Willaschek reconstructs and defends Kant's account of the rational sources of metaphysics. After carefully explaining Kant's conceptions of reason and metaphysics, he offers detailed interpretations of the relevant passages from the Critique of Pure Reason (in particular, the 'Transcendental Dialectic') in which Kant explains why reason seeks 'the unconditioned'. Willaschek offers a novel interpretation of the Transcendental Dialectic, pointing up its 'positive' side, while at the same time it uncovers a highly original account of metaphysical thinking that will be relevant to contemporary philosophical debates.

Husserl and Mathematics

Husserl and Mathematics PDF Author: Mirja Hartimo
Publisher: Cambridge University Press
ISBN: 1108997562
Category : Philosophy
Languages : en
Pages : 419

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Book Description
Husserl and Mathematics explains the development of Husserl's phenomenological method in the context of his engagement in modern mathematics and its foundations. Drawing on his correspondence and other written sources, Mirja Hartimo details Husserl's knowledge of a wide range of perspectives on the foundations of mathematics, including those of Hilbert, Brouwer and Weyl, as well as his awareness of the new developments in the subject during the 1930s. Hartimo examines how Husserl's philosophical views responded to these changes, and offers a pluralistic and open-ended picture of Husserl's phenomenology of mathematics. Her study shows Husserl's phenomenology to be a method capable of both shedding light on and internally criticizing scientific practices and concepts.

Ethics Vindicated

Ethics Vindicated PDF Author: Ermanno Bencivenga
Publisher: Oxford University Press
ISBN: 0195307356
Category : Philosophy
Languages : en
Pages : 208

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Book Description
This is a short monograph on Kant, specifically his ideas about freedom and morality, but with important relevance to questions at the heart of philosophy.

The Transcendental Turn

The Transcendental Turn PDF Author: Sebastian Gardner
Publisher:
ISBN: 019872487X
Category : Philosophy
Languages : en
Pages : 401

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Book Description
Kant's influence on the history of philosophy is vast and protean. The transcendental turn denotes one of its most important forms, defined by the notion that Kant's deepest insight should not be identified with any specific epistemological or metaphysical doctrine, but rather concerns the fundamental standpoint and terms of reference of philosophical enquiry. To take the transcendental turn is not to endorse any of Kant's specific teachings, but to accept that the Copernican revolution announced in the Preface of the Critique of Pure Reason sets philosophy on a new footing and constitutes the proper starting point of philosophical reflection. The aim of this volume is to map the historical trajectory of transcendental philosophy and the major forms that it has taken. The contributions, from leading contemporary scholars, focus on the question of what the transcendental turn consists in--its motivation, justification, and implications; and the limitations and problems which it arguably confronts--with reference to the relevant major figures in modern philosophy, including Kant, Fichte, Hegel, Nietzsche, Husserl, Heidegger, Merleau-Ponty, and Wittgenstein. Central themes and topics discussed include the distinction of realism from idealism, the relation of transcendental to absolute idealism, the question of how transcendental conclusions stand in relation to (and whether they can be made compatible with) naturalism, the application of transcendental thought to foundational issues in ethics, and the problematic relation of phenomenology to transcendental enquiry.

Mathematics of the Transcendental

Mathematics of the Transcendental PDF Author: Alain Badiou
Publisher: A&C Black
ISBN: 1441130381
Category : Philosophy
Languages : en
Pages : 291

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Book Description
In Mathematics of the Transcendental, Alain Badiou painstakingly works through the pertinent aspects of category theory, demonstrating their internal logic and veracity, their derivation and distinction from set theory, and the 'thinking of being'. In doing so he sets out the basic onto-logical requirements of his greater and transcendental logics as articulated in his magnum opus, Logics of Worlds. Previously unpublished in either French or English, Mathematics of the Transcendental provides Badiou's readers with a much-needed complete elaboration of his understanding and use of category theory. The book is vital to understanding the mathematical and logical basis of his theory of appearing as elaborated in Logics of Worlds and other works and is essential reading for his many followers.

Heidegger’s Interpretation of Kant

Heidegger’s Interpretation of Kant PDF Author: M. Weatherston
Publisher: Springer
ISBN: 0230597343
Category : Philosophy
Languages : en
Pages : 221

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Book Description
Is there any justification for Heidegger's famous 'violence' against Kant's philosophy? An independent assessment of the worth of Heidegger's argument is also made all the more pertinent by the evident misgivings Heidegger had about his interpretation of Kant. We must ask of Heidegger's interpretation of Kant: 1) Is this good Kant? and 2) Is this good Heidegger?

Necessity and Possibility

Necessity and Possibility PDF Author: Kurt Mosser
Publisher: CUA Press
ISBN: 0813215323
Category : Philosophy
Languages : en
Pages : 254

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Book Description
Kurt Mosser argues that reading Kant's Critique of Pure Reason as an argument for such a logic of experience makes more defensible many of Kant's most controversial claims, and makes more accessible Kant's notoriously difficult text.

The Cambridge Companion to Kant

The Cambridge Companion to Kant PDF Author: Paul Guyer
Publisher: Cambridge University Press
ISBN: 1139824899
Category : Philosophy
Languages : en
Pages : 500

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Book Description
The fundamental task of philosophy since the seventeenth century has been to determine whether the essential principles of both knowledge and action can be discovered by human beings unaided by an external agency. No one philosopher contributed more to this enterprise than Kant, whose Critique of Pure Reason (1781) shook the very foundations of the intellectual world. Kant argued that the basic principles of the natural science are imposed on reality by human sensibility and understanding, and thus that human beings are also free to impose their own free and rational agency on the world. This 1992 volume is the only systematic and comprehensive account of the full range of Kant's writings available, and the first major overview of his work to be published in more than a dozen years. An internationally recognised team of Kant scholars explore Kant's conceptual revolution in epistemology, metaphysics, philosophy of science, moral and political philosophy, aesthetics, and the philosophy of religion.