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Critical Views of Logic
Mirja Hartimo, Frode Kjosavik, Øystein Linnebo
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R4,046
Discovery Miles 40 460
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Ships in 9 - 15 working days
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This book examines positions that challenge the Fregean logic-first
view. It raises critical questions about logic by examining various
ways in which logic may be entangled with mathematics and
metaphysics. Is logic topic-neutral and general? Can we take the
application of logic for granted? This book suggests that we should
not be dogmatic about logic but ask similar critical questions
about logic as those Kant raised about metaphysics and mathematics.
It challenges the Fregean ‘logic-first’ view according to which
logic is fundamental and hence independent of any extra-logical
considerations. Whereas Quine assimilated logic and mathematics to
the theoretical parts of empirical science, the present volume
explores views that stop short of his thoroughgoing holism but
instead take logic to be answerable to or entangled with some
particular discipline. The contributions provide views that assign
primacy to mathematical reasons, Kantian metaphysical grounds,
Husserlian transcendental phenomenological reflection, or normative
considerations about how terms ought to be defined in various
fields of empirical science or mathematics. Space is thereby carved
out between a Fregean position on the one hand and Quinean holism
on the other. Critical Views of Logic will be a key resource for
academics, researchers, and advanced students of philosophy,
linguistics, mathematics, and computer science, as well as those
engaged in various fields of empirical science. The chapters in
this book, except for chapter 4, were originally published in the
journal Inquiry.
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 first
sheds light on the normativity of perception and then illuminates
the kind of normativity characteristic of imagination and drive
intentionality. Part III "Social Dimensions" analyzes the norms
that regulate the formation of practical communities. It takes a
broad view of practical norms, discussing social and moral norms as
well as the epistemic norms of scientific practices. By clarifying
the divergences and interrelations between various types and levels
of norms, the volume demonstrates that normativity is not one
phenomenon but a complex set of various phenomena with multiple
sources. Contemporary Phenomenologies of Normativity: Norms, Goals,
and Values will be of interest to researchers and advanced students
working on issues of normativity in phenomenology, epistemology,
ethics, and social philosophy.
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.
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.
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, Schroder, Weierstrass) as well as the 20th
century characters (Heyting, Zermelo, Godel). 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?""
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, Schroder, Weierstrass) as well as the 20th
century characters (Heyting, Zermelo, Godel). 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 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.
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.
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