The Road Not Taken On Husserls Philosophy Of Logic And Mathematics

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Essays on Husserl's Logic and Philosophy of Mathematics

Author : Stefania Centrone
Publisher : Springer
ISBN 13 : 9402411321
Total Pages : 541 pages
Book Rating : 4.4/5 (24 download)

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Book Synopsis Essays on Husserl's Logic and Philosophy of Mathematics by : Stefania Centrone

Download or read book Essays on Husserl's Logic and Philosophy of Mathematics written by Stefania Centrone and published by Springer. This book was released on 2017-09-07 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Philosophical Approaches to the Foundations of Logic and Mathematics

Author : Marcin Trepczyński
Publisher : BRILL
ISBN 13 : 9004445951
Total Pages : 316 pages
Book Rating : 4.0/5 (44 download)

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Book Synopsis Philosophical Approaches to the Foundations of Logic and Mathematics by : Marcin Trepczyński

Download or read book Philosophical Approaches to the Foundations of Logic and Mathematics written by Marcin Trepczyński and published by BRILL. This book was released on 2021-01-25 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophical Approaches to the Foundations of Logic and Mathematics consists of eleven articles addressing various aspects of the "roots" of logic and mathematics, their basic concepts and the mechanisms that work in the practice of their use.

The Road Not Taken. on Husserl's Philosophy of Logic and Mathematics

Author : Claire Ortiz Hill
Publisher :
ISBN 13 : 9781848900998
Total Pages : 456 pages
Book Rating : 4.9/5 (9 download)

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Book Synopsis The Road Not Taken. on Husserl's Philosophy of Logic and Mathematics by : Claire Ortiz Hill

Download or read book The Road Not Taken. on Husserl's Philosophy of Logic and Mathematics written by Claire Ortiz Hill and published by . This book was released on 2013-04 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: For different reasons, Husserl's original, thought-provoking ideas on the philosophy of logic and mathematics have been ignored, misunderstood, even despised, by analytic philosophers and phenomenologists alike, who have been content to barricade themselves behind walls of ideological prejudices. Yet, for several decades, Husserl was almost continuously in close professional and personal contact with those who created, reshaped and revolutionized 20th century philosophy of mathematics, logic, science and language in both the analytic and phenomenological schools, people whom those other makers of 20th century philosophy, Russell, Frege, Wittgenstein and their followers, rarely, if ever, met. Independently of them, Husserl offered alternatives to the well-trodden paths of logicism, nominalism, formalism and intuitionism. He presented a well-articulated, thoroughly argued case for logic as an objective science, but was not philosophically naive to the point of not seeing the role of subjectivity in shaping the sense of the reality facing objective science. Given the preeminent role that philosophy of logic and philosophy of mathematics have played in transforming the way philosophy has been done since Husserl's time, and given the depth of his insights and his obvious expertise in those fields, his ideas need to be integrated into present-day, mainstream philosophy. Here, philosopher Claire Ortiz Hill and mathematician-philosopher Jairo da Silva offer a wealth of interesting insights intended to subvert the many mistaken idees recues about the development of Husserl's thought and reestablish broken ties between it and philosophy now.

Husserl and Mathematics

Author : Mirja Hartimo
Publisher : Cambridge University Press
ISBN 13 : 1108997562
Total Pages : 419 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Husserl and Mathematics by : Mirja Hartimo

Download or read book Husserl and Mathematics written by Mirja Hartimo and published by Cambridge University Press. This book was released on 2021-08-05 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Logic and General Theory of Science

Author : Edmund Husserl
Publisher : Springer Nature
ISBN 13 : 3030145298
Total Pages : 478 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Logic and General Theory of Science by : Edmund Husserl

Download or read book Logic and General Theory of Science written by Edmund Husserl and published by Springer Nature. This book was released on 2019-10-01 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Husserl and Analytic Philosophy

Author : Guillermo E. Rosado Haddock
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110494183
Total Pages : 310 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Husserl and Analytic Philosophy by : Guillermo E. Rosado Haddock

Download or read book Husserl and Analytic Philosophy written by Guillermo E. Rosado Haddock and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-10-24 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contributes to the refutation of the separation of philosophy in the 20th century into analytic and continental. It is shown that Edmund Husserl was seriously concerned with issues of so-called analytic philosophy, that there are strict parallelisms between Husserl’s treatment of philosophical subjects and those of authors in the analytic tradition, and that Husserl had a strong influence on Rudolf Carnap’s ‘Aufbau’.

The New Yearbook for Phenomenology and Phenomenological Philosophy

Author : Burt Hopkins
Publisher : Routledge
ISBN 13 : 1317591119
Total Pages : 458 pages
Book Rating : 4.3/5 (175 download)

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Book Synopsis The New Yearbook for Phenomenology and Phenomenological Philosophy by : Burt Hopkins

Download or read book The New Yearbook for Phenomenology and Phenomenological Philosophy written by Burt Hopkins and published by Routledge. This book was released on 2015-03-24 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Constructive Semantics

Author : Christina Weiss
Publisher : Springer Nature
ISBN 13 : 3030213137
Total Pages : 196 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Constructive Semantics by : Christina Weiss

Download or read book Constructive Semantics written by Christina Weiss and published by Springer Nature. This book was released on 2019-10-15 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book brings together research work in the field of constructive semantics with scholarship on the phenomenological foundations of logic and mathematics. It addresses one of the central issues in the epistemology and philosophy of mathematics, namely the relationship between phenomenological meaning constitution and constructive semantics. Contributing authors explore deep structural connections and fundamental differences between phenomenology and constructivism. Papers are drawn from contributions to a prestigious workshop held at the University of Friedrichshafen. Readers will discover insight into structural connections between the phenomenological concept of meaning constitution and constructivist concepts of meaning. Discussion ranges from more specific conceptualizations in the philosophy of logic and mathematics to more general considerations in epistemology, inferential semantics and phenomenology. Questions such as a possible phenomenological understanding of the relationship between structural rules and particle rules in dialogical logic are explored. Significant aspects of both phenomenology and dialectics, and dialectics and constructivism emerge. Graduates and researchers of philosophy, especially logic, as well as scholars of mathematics will all find something of interest in the expert insights presented in this volume.

Phenomenology, Logic, and the Philosophy of Mathematics

Author : Richard L. Tieszen
Publisher : Cambridge University Press
ISBN 13 : 0521837820
Total Pages : 369 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Phenomenology, Logic, and the Philosophy of Mathematics by : Richard L. Tieszen

Download or read book Phenomenology, Logic, and the Philosophy of Mathematics written by Richard L. Tieszen and published by Cambridge University Press. This book was released on 2005-06-06 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this 2005 book, logic, mathematical knowledge and objects are explored alongside reason and intuition in the exact sciences.

Philosophy of Mind in the Twentieth and Twenty-First Centuries

Author : Amy Kind
Publisher : Routledge
ISBN 13 : 0429019386
Total Pages : 346 pages
Book Rating : 4.4/5 (29 download)

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Book Synopsis Philosophy of Mind in the Twentieth and Twenty-First Centuries by : Amy Kind

Download or read book Philosophy of Mind in the Twentieth and Twenty-First Centuries written by Amy Kind and published by Routledge. This book was released on 2018-07-06 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: While the philosophical study of mind has always required philosophers to attend to the scientific developments of their day, from the twentieth century onwards it has been especially influenced and informed by psychology, neuroscience, and computer science. Philosophy of Mind in the Twentieth and Twenty-First Centuries provides an outstanding survey of the most prominent themes in twentieth-century and contemporary philosophy of mind. It also looks to the future, offering cautious predictions about developments in the field in the years to come. Following an introduction by Amy Kind, twelve specially commissioned chapters by an international team of contributors discuss key topics, thinkers, and debates, including: the phenomenological tradition, the mind–body problem, theories of consciousness, theories of perception, theories of personal identity, mental causation, intentionality, Wittgenstein and his legacy, cognitive science, and future directions for philosophy of mind. Essential reading for students and researchers in philosophy of mind and philosophy of psychology, Philosophy of Mind in the Twentieth and Twenty-First Centuries is also a valuable resource for those in related disciplines such as psychology and cognitive science.

The Best Writing on Mathematics 2017

Author : Mircea Pitici
Publisher : Princeton University Press
ISBN 13 : 0691178631
Total Pages : 242 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Best Writing on Mathematics 2017 by : Mircea Pitici

Download or read book The Best Writing on Mathematics 2017 written by Mircea Pitici and published by Princeton University Press. This book was released on 2017-11-14 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year's finest mathematics writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2017 makes available to a wide audience many articles not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today’s hottest mathematical debates. Here Evelyn Lamb describes the excitement of searching for incomprehensibly large prime numbers, Jeremy Gray speculates about who would have won math’s highest prize—the Fields Medal—in the nineteenth century, and Philip Davis looks at mathematical results and artifacts from a business and marketing viewpoint. In other essays, Noson Yanofsky explores the inherent limits of knowledge in mathematical thinking, Jo Boaler and Lang Chen reveal why finger-counting enhances children’s receptivity to mathematical ideas, and Carlo Séquin and Raymond Shiau attempt to discover how the Renaissance painter Fra Luca Pacioli managed to convincingly depict his famous rhombicuboctahedron, a twenty-six-sided Archimedean solid. And there’s much, much more. In addition to presenting the year’s most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.

After Gödel

Author : Richard Tieszen
Publisher : OUP Oxford
ISBN 13 : 0191619310
Total Pages : 272 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis After Gödel by : Richard Tieszen

Download or read book After Gödel written by Richard Tieszen and published by OUP Oxford. This book was released on 2011-05-05 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Richard Tieszen presents an analysis, development, and defense of a number of central ideas in Kurt Gödel's writings on the philosophy and foundations of mathematics and logic. Tieszen structures the argument around Gödel's three philosophical heroes - Plato, Leibniz, and Husserl - and his engagement with Kant, and supplements close readings of Gödel's texts on foundations with materials from Gödel's Nachlass and from Hao Wang's discussions with Gödel. As well as providing discussions of Gödel's views on the philosophical significance of his technical results on completeness, incompleteness, undecidability, consistency proofs, speed-up theorems, and independence proofs, Tieszen furnishes a detailed analysis of Gödel's critique of Hilbert and Carnap, and of his subsequent turn to Husserl's transcendental philosophy in 1959. On this basis, a new type of platonic rationalism that requires rational intuition, called 'constituted platonism', is developed and defended. Tieszen shows how constituted platonism addresses the problem of the objectivity of mathematics and of the knowledge of abstract mathematical objects. Finally, he considers the implications of this position for the claim that human minds ('monads') are machines, and discusses the issues of pragmatic holism and rationalism.

Phenomenology in Action in Psychotherapy

Author : Ian Rory Owen
Publisher : Springer
ISBN 13 : 3319136054
Total Pages : 342 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Phenomenology in Action in Psychotherapy by : Ian Rory Owen

Download or read book Phenomenology in Action in Psychotherapy written by Ian Rory Owen and published by Springer. This book was released on 2015-04-08 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes Edmund Husserl’s phenomenology and applies it to help psychotherapy practitioners formulate complex psychological problems. The reader will learn about Husserl’s system of understanding and its concepts that can point to first-person lived experience, and about the work of Husserl scholars who have developed a way to be precise about the experiences that clients have. Through exploring the connection between academic philosophy of consciousness and mental health, themes of biopsychosocial treatment planning, psychopathology of personality and psychological disorders, and the treatment of complex psychological problems all emerge. The author shows that Husserlian phenomenology can be used in the design of interventions for each client in a process called formulation. Once the intentionality of consciousness of an individual is understood, by asking simple questions, it becomes possible to define problematic experiences. This is a means of creating informed consent for treatment and it also makes it clear to clients what is happening for them, so helping them understand themselves and how they see the world. We also see how Husserl’s phenomenology is a vehicle for psychotherapists to present their knowledge about the research literature of what has been found to be effective care. This volume applies the concepts and practices of phenomenology in a concrete way, relating them to the practice of therapy and showing the value of a qualitative approach to understanding mental processes and the nature of human beings as motivated by values, meanings and other conscious experiences. This is a readable text in simple language that condenses key aspects of Husserl’s thinking in relation to the theory and practice of psychotherapy, and it is suitable for philosophers and practitioners of psychology, psychiatry, and the psychotherapies, including psychoanalysis.

Mereologies, Ontologies, and Facets

Author : Paul M. W. Hackett
Publisher : Lexington Books
ISBN 13 : 1498524982
Total Pages : 283 pages
Book Rating : 4.4/5 (985 download)

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Book Synopsis Mereologies, Ontologies, and Facets by : Paul M. W. Hackett

Download or read book Mereologies, Ontologies, and Facets written by Paul M. W. Hackett and published by Lexington Books. This book was released on 2018-07-15 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: The assignment events, objects, state of beings, etc., to an experiential category is a fundamental activity carried out by human (and by other animals). So rudimentary are the processes involved in categorizing that it is indeed impossible to imagine conscious awareness to exist without the presence of categories. A considerable body of writing exists on categories dating from the times of Classical philosophy. Plato developed a categorical ontology and Aristotle produced one of the earliest examples of a complex understanding of basic ontologies. A number of other categorially structured ontologies have been proposed including those by Lowe, Westerhoff, Chisholm, etc. The book is an edited collection of up to the moment essays that address critical aspects on the understanding of categories and categorial systems. The perspectives included in the book are drawn from philosophy, psychology, theology, divinity, comparative cognition and facet theory. The authors are all renowned experts in the area of their writing. Topics addressed include both contemporary advances in the understanding of perennial debates and latest thinking upon how categories are employed to structure our experiences of the world we live in. The book is distinct as being written by philosophers and psychologists. The book is a collection of writings from selected academics at the fore of debates and understandings of categories in contemporary thought. The text provides a single source for contemporary scholarship in categories. No single text that brings together expositions of categorial experiences for students and academics within the above listed disciplines.

The Music of Meaning

Author : Per Aage Brandt
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527539261
Total Pages : 334 pages
Book Rating : 4.5/5 (275 download)

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Book Synopsis The Music of Meaning by : Per Aage Brandt

Download or read book The Music of Meaning written by Per Aage Brandt and published by Cambridge Scholars Publishing. This book was released on 2019-08-30 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about meaning in music, poetry, and language; it is about signs: symbols, icons, diagrams, and more. It concerns art and how we communicate, how we make sense to each other—including the concept of nonsense. It is about metaphor and irony. It embraces a vast human universe of signification and some of its cognitive machines of meaning-making: a complex and diverse unfolding of the expressive human mind. These 24 essays study different aspects of the way we signify, present recent research and models of such processes, and discuss the—often intricate—problems of understanding the relations between expression and thought. In evolution, music may have preceded the language of words, and music remains indirectly present in every temporal unfolding of bodily, affective, playful, meaningful activity. We are immersed in meaning and have to ‘listen’ to it since it constitutes the semiotic reality structuring the world as we experience it.

On Logic and the Theory of Science

Author : Jean Cavailles
Publisher : MIT Press
ISBN 13 : 1913029417
Total Pages : 143 pages
Book Rating : 4.9/5 (13 download)

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Book Synopsis On Logic and the Theory of Science by : Jean Cavailles

Download or read book On Logic and the Theory of Science written by Jean Cavailles and published by MIT Press. This book was released on 2021-04-27 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new translation of the final work of French philosopher Jean Cavaillès. In this short, dense essay, Jean Cavaillès evaluates philosophical efforts to determine the origin—logical or ontological—of scientific thought, arguing that, rather than seeking to found science in original intentional acts, a priori meanings, or foundational logical relations, any adequate theory must involve a history of the concept. Cavaillès insists on a historical epistemology that is conceptual rather than phenomenological, and a logic that is dialectical rather than transcendental. His famous call (cited by Foucault) to abandon "a philosophy of consciousness" for "a philosophy of the concept" was crucial in displacing the focus of philosophical enquiry from aprioristic foundations toward structural historical shifts in the conceptual fabric. This new translation of Cavaillès's final work, written in 1942 during his imprisonment for Resistance activities, presents an opportunity to reencounter an original and lucid thinker. Cavaillès's subtle adjudication between positivistic claims that science has no need of philosophy, and philosophers' obstinate disregard for actual scientific events, speaks to a dilemma that remains pertinent for us today. His affirmation of the authority of scientific thinking combined with his commitment to conceptual creation yields a radical defense of the freedom of thought and the possibility of the new.

Logical Investigations Volume 2

Author : Edmund Husserl
Publisher : Routledge
ISBN 13 : 1134548486
Total Pages : 382 pages
Book Rating : 4.1/5 (345 download)

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Book Synopsis Logical Investigations Volume 2 by : Edmund Husserl

Download or read book Logical Investigations Volume 2 written by Edmund Husserl and published by Routledge. This book was released on 2013-03-07 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edmund Husserl is the founder of phenomenology and the Logical Investigations is his most famous work. It had a decisive impact on twentieth century philosophy and is one of few works to have influenced both continental and analytic philosophy. This is the first time both volumes have been available in paperback. They include a new introduction by Dermot Moran, placing the Investigations in historical context and bringing out their contemporary philosophical importance. These editions include a new preface by Sir Michael Dummett.