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Author: Carlos R. Bovell
Publisher: Wipf and Stock Publishers
ISBN: 1608999734
Category : Philosophy
Languages : en
Pages : 143
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Book Description
How do mathematics, philosophy, and theology intersect? In Ideas at the Intersection of Mathematics, Philosophy, and Theology, Carlos Bovell proposes a wide range of possibilities. In a series of eleven thought-provoking essays, the author explores such topics as the place of mathematics in the work of Husserl and Heidegger, the importance of infinity for the Christian conception of God, and the impact of Gšdel's Theorem on the Westminster Confession of Faith. This book will appeal to readers with backgrounds in mathematics, philosophy, and theology and can be used in core, interdisciplinary modules that contain a math component.
Author: Carlos R. Bovell
Publisher: Wipf and Stock Publishers
ISBN: 1608999734
Category : Philosophy
Languages : en
Pages : 143
Get Book Here
Book Description
How do mathematics, philosophy, and theology intersect? In Ideas at the Intersection of Mathematics, Philosophy, and Theology, Carlos Bovell proposes a wide range of possibilities. In a series of eleven thought-provoking essays, the author explores such topics as the place of mathematics in the work of Husserl and Heidegger, the importance of infinity for the Christian conception of God, and the impact of Gšdel's Theorem on the Westminster Confession of Faith. This book will appeal to readers with backgrounds in mathematics, philosophy, and theology and can be used in core, interdisciplinary modules that contain a math component.
Author: Stuart J. Taylor
Publisher: Springer Nature
ISBN: 3031486714
Category :
Languages : en
Pages : 315
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Book Description
Author: Agustin Rayo
Publisher: MIT Press
ISBN: 0262039419
Category : Mathematics
Languages : en
Pages : 321
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Book Description
An introduction to awe-inspiring ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, and computability theory. This book introduces the reader to awe-inspiring issues at the intersection of philosophy and mathematics. It explores ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, computability theory, the Grandfather Paradox, Newcomb's Problem, the Principle of Countable Additivity. The goal is to present some exceptionally beautiful ideas in enough detail to enable readers to understand the ideas themselves (rather than watered-down approximations), but without supplying so much detail that they abandon the effort. The philosophical content requires a mind attuned to subtlety; the most demanding of the mathematical ideas require familiarity with college-level mathematics or mathematical proof. The book covers Cantor's revolutionary thinking about infinity, which leads to the result that some infinities are bigger than others; time travel and free will, decision theory, probability, and the Banach-Tarski Theorem, which states that it is possible to decompose a ball into a finite number of pieces and reassemble the pieces so as to get two balls that are each the same size as the original. Its investigation of computability theory leads to a proof of Gödel's Incompleteness Theorem, which yields the amazing result that arithmetic is so complex that no computer could be programmed to output every arithmetical truth and no falsehood. Each chapter is followed by an appendix with answers to exercises. A list of recommended reading points readers to more advanced discussions. The book is based on a popular course (and MOOC) taught by the author at MIT.
Author: Alfred North Whitehead
Publisher: Courier Dover Publications
ISBN: 0486821382
Category : Mathematics
Languages : en
Pages : 177
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Book Description
Concise volume for general students by prominent philosopher and mathematician explains what math is and does, and how mathematicians do it. "Lucid and cogent ... should delight you." — The New York Times. 1911 edition.
Author: Matthew Handelman
Publisher: Fordham Univ Press
ISBN: 0823283852
Category : Philosophy
Languages : en
Pages : 287
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Book Description
This book offers an archeology of the undeveloped potential of mathematics for critical theory. As Max Horkheimer and Theodor W. Adorno first conceived of the critical project in the 1930s, critical theory steadfastly opposed the mathematization of thought. Mathematics flattened thought into a dangerous positivism that led reason to the barbarism of World War II. The Mathematical Imagination challenges this narrative, showing how for other German-Jewish thinkers, such as Gershom Scholem, Franz Rosenzweig, and Siegfried Kracauer, mathematics offered metaphors to negotiate the crises of modernity during the Weimar Republic. Influential theories of poetry, messianism, and cultural critique, Handelman shows, borrowed from the philosophy of mathematics, infinitesimal calculus, and geometry in order to refashion cultural and aesthetic discourse. Drawn to the austerity and muteness of mathematics, these friends and forerunners of the Frankfurt School found in mathematical approaches to negativity strategies to capture the marginalized experiences and perspectives of Jews in Germany. Their vocabulary, in which theory could be both mathematical and critical, is missing from the intellectual history of critical theory, whether in the work of second generation critical theorists such as Jürgen Habermas or in contemporary critiques of technology. The Mathematical Imagination shows how Scholem, Rosenzweig, and Kracauer’s engagement with mathematics uncovers a more capacious vision of the critical project, one with tools that can help us intervene in our digital and increasingly mathematical present. The Mathematical Imagination is available from the publisher on an open-access basis.
Author: M.J. Nye
Publisher: Springer Science & Business Media
ISBN: 9401124884
Category : Science
Languages : en
Pages : 365
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Book Description
Modern physical science is constituted by specialized scientific fields rooted in experimental laboratory work and in rational and mathematical representations. Contemporary scientific explanation is rigorously differentiated from religious interpretation, although, to be sure, scientists sometimes do the philosophical work of interpreting the metaphysics of space, time, and matter. However, it is rare that either theologians or philosophers convincingly claim that they are doing the scientific work of physical scientists and mathematicians. The rigidity of these divisions and differentiations is relatively new. Modern physical science was invented slowly and gradually through interactions of the aims and contents of mathematics, theology, and natural philosophy since the seventeenth century. In essays ranging in focus from seventeenth-century interpretations of heavenly comets to twentieth-century explanations of tracks in bubble chambers, ten historians of science demonstrate metaphysical and theological threads continuing to underpin the epistemology and practice of the physical sciences and mathematics, even while they became disciplinary specialties during the last three centuries. The volume is prefaced by tributes to Erwin N. Hiebert, whose teaching and scholarship have addressed and inspired attention to these issues.
Author: Snezana Lawrence
Publisher: Oxford University Press, USA
ISBN: 0198703058
Category : Mathematics
Languages : en
Pages : 305
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Book Description
This is a book on the relationship between mathematics and religious beliefs. This book shows that, throughout scientific history, mathematics has been used to make sense of the 'big' questions of life, and that religious beliefs sometimes drove mathematicians to do mathematics to help them make sense of the world
Author: Loren Graham
Publisher: Harvard University Press
ISBN: 0674032934
Category : History
Languages : en
Pages : 252
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Book Description
In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping—and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements. Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin—who founded the famous Moscow School of Mathematics—were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite—and led to the founding of descriptive set theory. The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity.
Author: J. P. Moreland
Publisher: Crossway
ISBN: 1433556936
Category : Science
Languages : en
Pages : 221
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Book Description
Rigid adherence to scientism—as opposed to a healthy respect for science—is all too prevalent in our world today. Rather than leading to a deeper understanding of our universe, this worldview actually undermines real science and marginalizes morality and religion. In this book, celebrated philosopher J. P. Moreland exposes the selfdefeating nature of scientism and equips us to recognize scientism’s harmful presence in different aspects of culture, emboldening our witness to biblical Christianity and arming us with strategies for the integration of faith and science—the only feasible path to genuine knowledge.
Author: Barbara Kerr
Publisher: SAGE
ISBN: 1412949718
Category : Psychology
Languages : en
Pages : 1113
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Book Description
The three-volume Encyclopedia of Giftedness, Creativity, and Talent presents state-of-the-art research and ready-to-use facts from the fields of education, psychology, sociology, and the arts.
