Ontology and the Foundations of Mathematics: Talking Past Each Other, Rush Penelope

Автор: Chan Yuen-Kwok
Название: Foundations of Constructive Probability Theory
ISBN: 1108835430 ISBN-13(EAN): 9781108835435
Издательство: Cambridge University Press
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Описание: This text gives a systematic, detailed constructive theory of probability theory, in the sense of Bishop`s constructive mathematics. It is accessible to beginning graduate students with no prior training in constructive mathematics or probability theory and will interest readers in either discipline, as well as those interested in the intersection.

Автор: Incurvati Luca
Название: Conceptions of Set and the Foundations of Mathematics
ISBN: 110870879X ISBN-13(EAN): 9781108708791
Издательство: Cambridge University Press
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Описание: This book presents a detailed and critical examination of the conceptions of set on offer and defends a novel version of the so-called iterative conception. It will be of interest to researchers and advanced students in logic and the philosophy of mathematics.

Автор: Horsten Leon
Название: The Metaphysics and Mathematics of Arbitrary Objects
ISBN: 1108706592 ISBN-13(EAN): 9781108706599
Издательство: Cambridge University Press
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Описание: This book develops a new theory of arbitrary entities and connects it to issues and debates in metaphysics and contemporary philosophy of mathematics. It investigates the relation between particular and arbitrary objects, and between particular and arbitrary systems of objects. These concepts are then applied to problems in philosophy of mathematics.

Автор: Posy Carl, Rechter Ofra
Название: Kant`s Philosophy of Mathematics: Volume 1, the Critical Philosophy and Its Roots
ISBN: 110871708X ISBN-13(EAN): 9781108717083
Издательство: Cambridge University Press
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Описание: Kant`s views about mathematics are central to his philosophical thought. This book presents a comprehensive picture of current scholarship on the development of Kant`s philosophy of mathematics, together with discussions of its place in his overall philosophy. It treats both broad historical issues and fine-grained questions of interpretation.

Автор: Sattler Barbara M.
Название: The Concept of Motion in Ancient Greek Thought: Foundations in Logic, Method, and Mathematics
ISBN: 1108745210 ISBN-13(EAN): 9781108745215
Издательство: Cambridge University Press
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Описание: The understanding of motion - the core concept of natural philosophy - underwent crucial changes in Greek thinking from Parmenides to Aristotle. This book examines the logical, methodological, and mathematical foundations for the emergence of a full conception of motion that also allows for comparing and measuring speeds.