Aristotle and mathematics : aporetic method in cosmology and metaphysics /
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John Cleary here explores the role which the mathematical sciences play in Aristotle's philosophical thought, especially in his cosmology, metaphysics, and epistemology. He also thematizes the aporetic method by means of which he deals with philosophical questions about the foundations of mathematics. The first two chapters consider Plato's mathematical cosmology in the light of Aristotle's critical distinction between physics and mathematics. Subsequent chapters examine three basic aporiae about mathematical objects which Aristotle himself develops in his science of first philosophy. What emerges from this dialectical inquiry is a different conception of substance and of order in the universe, which gives priority to physics over mathematics as the cosmological science. Within this different world-view, we can better understand what we now call Aristotle's philosophy of mathematics.
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1 online resource (xxxvi, 558 pages) :
Includes bibliographical references (p. 505-528) and indexes. :
9789004320901 :
0079-1687 ; :
Available to subscribing member institutions only.
Philosophical Approaches to the Foundations of Logic and Mathematics : In Honor of Stanisław Krajewski /
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Eleven papers collected in the volume Philosophical Approaches to the Foundations of Logic and Mathematics address various aspects of the "roots", basic concepts and the nature of logic and mathematics. Taken together, these papers reveal how many serious philosophical problems lie at the foundations of logic and mathematics. The topics discussed in this volume include: transcending anti-foundationalism and two concurrent trends of "anthropological" and "practical" understanding of the foundations of mathematics, new approaches to mathematical realism, the "roots" of logic in a genetic perspective, the primacy of truth or satisfaction, and the "effectiveness" of mathematics in terms of categorical semantics.
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1 online resource. :
Includes bibliographical references and index. :
9789004445956
9789004445949
Essays in the philosophy and history of logic and mathematics /
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The book is a collection of the author's selected works in the philosophy and history of logic and mathematics. Papers in Part I include both general surveys of contemporary philosophy of mathematics as well as studies devoted to specialized topics, like Cantor's philosophy of set theory, the Church thesis and its epistemological status, the history of the philosophical background of the concept of number, the structuralist epistemology of mathematics and the phenomenological philosophy of mathematics. Part II contains essays in the history of logic and mathematics. They address such issues as the philosophical background of the development of symbolism in mathematical logic, Giuseppe Peano and his role in the creation of contemporary logical symbolism, Emil L. Post's works in mathematical logic and recursion theory, the formalist school in the foundations of mathematics and the algebra of logic in England in the 19th century. The history of mathematics and logic in Poland is also considered. This volume is of interest to historians and philosophers of science and mathematics as well as to logicians and mathematicians interested in the philosophy and history of their fields.
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A collection of previously published essays; those originally written in Polish have been translated into English for this publication. :
1 online resource (343 pages) :
Includes bibliographical references (p. 301-334) and index. :
9789042030916 :
0303-8157 ; :
Available to subscribing member institutions only.
"Mathesis of the mind" : a study of Fichte's Wissenschaftslehre and geometry /
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This is the first major study in any language on J.G. Fichte's philosophy of mathematics and theory of geometry. It investigates both the external formal and internal cognitive parallels between the axioms, intuitions and constructions of geometry and the scientific methodology of the Fichtean system of philosophy. In contrast to "ordinary" Euclidean geometry, in his Erlanger Logik of 1805 Fichte posits a model of an "ursprüngliche" or original geometry - that is to say, a synthetic and constructivistic conception grounded in ideal archetypal elements that are grasped through geometrical or intelligible intuition. Accordingly, this study classifies Fichte's philosophy of mathematics as a whole as a species of mathematical Platonism or neo-Platonism, and concludes that the Wissenschaftslehre itself may be read as an attempt at a new philosophical mathesis, or "mathesis of the mind."
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Based on the author's thesis (Ph. D.)--Ludwig-Maximilians-Universität, Munich, 2009. :
1 online resource (iii, 304 pages) : illustrations. :
Includes bibliographical references. :
9789401207683 :
Available to subscribing member institutions only.
Scientific realism and democratic society : the philosophy of Philip Kitcher /
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Philip Kitcher is among the key philosophers of science of our times. This volume offers an up to date analysis of his philosophical perspective taking into account his views on scientific realism and democratic society. The contributors to the volume focus on four different aspects of Kitcher's thought: the evolution of his philosophy, his present views on scientific realism, the epistemological analysis of his modest ("real" or "piecemeal") realism, and his conception of scientific practice. In the final chapter, the philosopher replies to his critics. The volume will be of interest to philosophers as well as anyone interested in the relation between science and society.
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Papers presented at a conference held in Spain, at the University of A Coruña, Ferrol campus.
Includes a contribution by Philip Kitcher, entitled Second thoughts (p. [353]-389). :
1 online resource (432 pages) :
Includes bibliographical references and indexes. :
9789401207355 :
Available to subscribing member institutions only.
Naturalized epistemology and philosophy of science /
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Much has happened in the field of contemporary epistemology since Quine's "Epistemology Naturalized" was published in 1969. Even before Ronald Giere published his article "Philosophy of Science Naturalized," naturalized philosophy of science had been influenced by the so-called historical approach. Kuhm, Lakatos, Feyerabend and Laudan all contributed importantly to this trend. In this light it has emerged, without a doubt, that philosophy of science is closely related to epistemology. This volume explores some of the relevant relations and will be of interest to epistemologists and philosophers of science.
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"The 2006 Soochow international philosophy conference and workshop 'Naturalized Epistemology and Philosophy of Science', held in Taipei, Taiwan ..."--Preface. :
1 online resource (196 pages) : illustrations. :
Includes bibliographical references. :
9789401204361 :
Available to subscribing member institutions only.
Renaissance Philosophy in Jewish garb : foundations and challenges in Judaism on the eve of modernity /
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Based on several years of research on Jewish intellectual life in the Renaissance, this book tries to distinguish the coordinates of "modernity" as premises of Jewish philosophy, and vice versa. In the first part, it is concerned with the foundations of Jewish philosophy, its nature as philosophical science and as wisdom. The second part is devoted to certain elements and challenges of the humanist and Renaissance period as reflected in Judaism: historical consciousness and the sciences, utopian tradition, the legal status of the Jews in Christian political tradition and in Jewish political thought, aesthetic concepts of the body and conversion.
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1 online resource. :
Includes bibliographical references (p. [255]-270) and index. :
9789047425281 :
Available to subscribing member institutions only.
Philosophy from an empirical standpoint : essays on Carl Stumpf /
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The purpose of this book is to highlight Carl Stumpf's contributions to philosophy and to assess some of the aspects of his work. This book is divided into four sections, and also includes a general introduction on Stumpf's philosophy. The first section examines the historical sources of his philosophy, the second examines some of the central themes of his work and the third examines his relationship to other philosophers. The fourth section consists of notes taken by Husserl during Stumpf's lectures on metaphysics in Halle, Stumpf's introduction to the edition of his correspondence with Brentano, which he prepared in 1929, and some important letters pertaining to this correspondence. This book also provides a comprehensive bibliography of the works of Stumpf.
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1 online resource (546 pages) :
Includes bibliographical references and index.
"Bibliography of the publications of Carl Stumpf = Bibliographie der Schriften von Carl Stumpf": pages [529]-541. :
9789004299108 :
Available to subscribing member institutions only.
Science in Culture : Translated from the Polish by Hugh McDonald.
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This book tries to uncover science's discoverer and explain why the conception of science has been changing during the centuries, and why science can be beneficial and dangerous for humanity. Far from being hermetic, this research can be interesting for all who want to understand deeper what really conditions the place of science in culture.
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1 online resource (351 pages) :
9789401203852 :
Available to subscribing member institutions only.