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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
Pre-modern Mathematical Thought : The Latin Discussion (13th-16th Centuries) /
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This book takes readers through an exploration of fundamental discussions that redefined mathematics and its philosophical significance in the centuries foregoing modernity. From William of Auvergne's paradoxes of infinity to Christoph Clavius' interpretation of Euclidean principles, it examines the evolving understanding of central issues among which continuity, the existence of mathematical objects such as numbers, and the way humans can make true statements regarding such things. Each chapter sheds light on how premodern scholars bridged mathematics and philosophy, forging concepts and approaches that continued to influence early modern thought. A compelling read for historians, philosophers, and anyone intrigued by the origins and enduring legacy of mathematical ideas as both tools for inquiry and objects of reflection. Contributors are Joël Biard, Stephen Clucas, Clelia V. Crialesi, Vincenzo De Risi, Daniel Di Liscia, André Goddu, Kamil Majcherek, Paolo Mancosu, Aurélien Robert, Sabine Rommevaux, Sylvain Roudaut, and Cecilia Trifogli.
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1 online resource (416 pages) : illustrations. :
Includes bibliographical references and index. :
9789004734159
Apophasis and Envisioning the Invisible : Unveiling Veils of Infinity /
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In this monograph, two of the most complicated theoretical topics confronting the scholar of mysticism (apophasis and infinity) are tackled. Writing about apophasis presents a unique dilemma as the term itself connotes the inability of language to name the namelessness of ultimate reality. Yet, the apophatic is a gesture of speaking-not, which entails saying the unsayable, as opposed to not speaking, which is the reticence appropriate to silence. The exploration of infinity presents an equally daunting demand as the intellect embarking on this path is summoned to circumscribe the uncircumscribable. Just as communicating the incommunicable is an endless enterprise of speaking the unspeakable, so mapping infinity is an unremitting pursuit of delimiting the limitless. The two subjects thus intersect at the vanishing point where the human mind reaches its limit by confronting the limitlessness that can be described only as indescribable.
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1 online resource (661 pages) : illustrations. :
Includes bibliographical references and index. :
9789004744363
Giordano Bruno : an introduction /
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Giordano Bruno (1548-1600) was a philosopher in his own right. However, he was famous through the centuries due to his execution as a heretic. His pronouncements against teachings of the Catholic Church, his defence of the cosmology of Nicholas Copernicus, and his provocative personality, all this made him a paradigmatic figure of modernity. Bruno's way of philosophizing is not looking for outright solutions but rather for the depth of the problems; he knows his predecessors and their strategies as well as their weaknesses, which he exposes satirically. This introduction helps to identify the original thought of Bruno who proudly said about himself: "Philosophy is my profession!" His major achievements concern the creativity of the human mind studied through the theory of memory, the infinity of the world, and the discovery of atomism for modernity. He never held a permanent office within or without the academic world. Therefore, the way of thinking of this "Knight Errant of Philosophy" will be presented along the stations of his journey through Western Europe.
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1 online resource (viii, 128 pages) :
Includes bibliographical references and index. :
9789401208291 :
0929-8436 ; :
Available to subscribing member institutions only.