Essays on Husserl's Logic and Philosophy of Mathematics

Essays on Husserl's Logic and Philosophy of Mathematics
Author: Stefania Centrone
Publisher: Springer
Total Pages: 541
Release: 2017-09-07
Genre: Philosophy
ISBN: 9402411321

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

Philosophical Approaches to the Foundations of Logic and Mathematics
Author: Marcin Trepczyński
Publisher: BRILL
Total Pages: 316
Release: 2021-01-25
Genre: Philosophy
ISBN: 9004445951

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

The Road Not Taken. on Husserl's Philosophy of Logic and Mathematics
Author: Claire Ortiz Hill
Publisher:
Total Pages: 456
Release: 2013-04
Genre: Mathematics
ISBN: 9781848900998

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

Husserl and Mathematics
Author: Mirja Hartimo
Publisher: Cambridge University Press
Total Pages: 419
Release: 2021-08-05
Genre: Philosophy
ISBN: 1108997562

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

Logic and General Theory of Science
Author: Edmund Husserl
Publisher: Springer Nature
Total Pages: 478
Release: 2019-10-01
Genre: Philosophy
ISBN: 3030145298

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

Husserl and Analytic Philosophy
Author: Guillermo E. Rosado Haddock
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 310
Release: 2016-10-24
Genre: Philosophy
ISBN: 3110494183

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

The New Yearbook for Phenomenology and Phenomenological Philosophy
Author: Burt Hopkins
Publisher: Routledge
Total Pages: 458
Release: 2015-03-24
Genre: Philosophy
ISBN: 1317591119

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

Constructive Semantics
Author: Christina Weiss
Publisher: Springer Nature
Total Pages: 196
Release: 2019-10-15
Genre: Philosophy
ISBN: 3030213137

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

Phenomenology, Logic, and the Philosophy of Mathematics
Author: Richard L. Tieszen
Publisher: Cambridge University Press
Total Pages: 369
Release: 2005-06-06
Genre: Mathematics
ISBN: 0521837820

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

Philosophy of Mind in the Twentieth and Twenty-First Centuries
Author: Amy Kind
Publisher: Routledge
Total Pages: 346
Release: 2018-07-06
Genre: Philosophy
ISBN: 0429019386

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.