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Phenomenology and Mathematics
During Edmund Husserl’s lifetime, modern logic and mathematics rapidly developed toward their current outlook and Husserl’s writings can be fruitfully compared and contrasted with both 19th century figures (Boole, Schröder, Weierstrass) as well as the 20th century characters (Heyting, Zermelo, Gödel). Besides the more historical studies, the internal ones on Husserl alone and the external ones attempting to clarify his role in the more general context of the developing mathematics and logic, Husserl’s phenomenology offers also a systematically rich but little researched area of investigation. This volume aims to establish the starting point for the development, evaluation and appraisal of the phenomenology of mathematics. It gathers the contributions of the main scholars of this emerging field into one publication for the first time. Combining both historical and systematic studies from various angles, the volume charts answers to the question "What kind of philosophy of mathematics is phenomenology?"
Husserl and Mathematics
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.
Phenomenology and the Transcendental
The aim of this volume is to offer an updated account of the transcendental character of phenomenology. The main question concerns the sense and relevance of transcendental philosophy today: What can such philosophy contribute to contemporary inquiries and debates after the many reasoned attacks against its idealistic, aprioristic, absolutist and universalistic tendencies—voiced most vigorously by late 20th century postmodern thinkers—as well as attacks against its apparently circular arguments and suspicious metaphysics launched by many analytic philosophers? Contributors also aim to clarify the relations of transcendental phenomenology to other post-Kantian philosophies, most importantly to pragmatism and Wittgenstein’s philosophical investigations. Finally, the volume offers a set of reflections on the meaning of post-transcendental phenomenology.
Contemporary Phenomenologies of Normativity
This volume investigates forms of normativity through the phenomenological methods of description, analysis, and interpretation. It takes a broad approach to norms, covering not only rules and commands but also goals, values, and passive drives and tendencies. Part I "Basic Perspectives" begins with an overview of the phenomena of normativity and then clarifies the constitution of norms by Husserlian and Heideggerian concepts. It offers phenomenological alternatives to the neo-Kantian and neo-Hegelian approaches that dominate contemporary debates on the "sources of normativity." Part II "From Perception to Imagination" turns to the normativity of three basic types of experiences. This part f...
The New Yearbook for Phenomenology and Phenomenological Philosophy
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.
Essays on Husserl's Logic and Philosophy of Mathematics
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.
Phenomenological Approaches to Physics
This book offers fresh perspective on the role of phenomenology in the philosophy of physics which opens new avenues for discussion among physicists, "standard" philosophers of physics and philosophers with phenomenological leanings. Much has been written on the interrelations between philosophy and physics in the late 19th and early 20th century, and on the emergence of philosophy of science as an autonomous philosophical sub-discipline. This book is about the under-explored role of phenomenology in the development and the philosophical interpretation of 20th century physics. Part 1 examines questions about the origins and value of phenomenological approaches to physics. Does the work of cl...
Origins and Varieties of Logicism
This book offers a plurality of perspectives on the historical origins of logicism and on contemporary developments of logicist insights in philosophy of mathematics. It uniquely provides up-to-date research and novel interpretations on a variety of intertwined themes and historical figures related to different versions of logicism. The essays, written by prominent scholars, are divided into three thematic sections. Part I focuses on major authors like Frege, Dedekind, and Russell, providing a historical and theoretical exploration of such figures in the philosophical and mathematical milieu in which logicist views were first expounded. Part II sheds new light on the interconnections between...
Merleau-Ponty and Contemporary Philosophy of Perception
This book draws on Merleau-Ponty’s phenomenology to develop new and promising solutions to contemporary debates about perception. In providing an extension and defense of Merleau-Ponty's account of perceptual content and of the relation between perception and the world, it demonstrates the value of Merleau-Ponty's insights for philosophy of perception today. The author focuses on two main topics: the contents and the nature of perception. In the first half of this book, the author tackles debates about the content of perception, namely, what sorts of properties or features of the world reveal themselves to us in perception and in what modes. Drawing on Merleau-Ponty’s description of perc...
From Past to Future: Graßmann's Work in Context
On the occasion of the 200th anniversary of the birth of Hermann Graßmann (1809-1877), an interdisciplinary conference was held in Potsdam, Germany, and in Graßmann's hometown Szczecin, Poland. The idea of the conference was to present a multi-faceted picture of Graßmann, and to uncover the complexity of the factors that were responsible for his creativity. The conference demonstrated not only the very influential reception of his work at the turn of the 20th century, but also the unexpected modernity of his ideas, and their continuing development in the 21st century. This book contains 37 papers presented at the conference. They investigate the significance of Graßmann's work for philos...
