After Godel: Platonism and Rationalism in Mathematics and Logic, Tieszen Richard

Автор: Bob Fischer; Felipe Leon
Название: Modal Epistemology After Rationalism
ISBN: 3319443070 ISBN-13(EAN): 9783319443072
Издательство: Springer
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Описание: This collection highlights the new trend away from rationalism and toward empiricism in the epistemology of modality. Accordingly, the book represents a wide range of positions on the empirical sources of modal knowledge. Readers will find an introduction that surveys the field and provides a brief overview of the work, which progresses from empirically-sensitive rationalist accounts to fully empiricist accounts of modal knowledge. Early chapters focus on challenges to rationalist theories, essence-based approaches to modal knowledge, and the prospects for naturalizing modal epistemology. The middle chapters present positive accounts that reject rationalism, but which stop short of advocating exclusive appeal to empirical sources of modal knowledge. The final chapters mark a transition toward exclusive reliance on empirical sources of modal knowledge. They explore ways of making similarity-based, analogical, inductive, and abductive arguments for modal claims based on empirical information. Modal epistemology is coming into its own as a field, and this book has the potential to anchor a new research agenda.

Автор: Fischer Bob, Leon Felipe
Название: Modal Epistemology After Rationalism
ISBN: 3319830368 ISBN-13(EAN): 9783319830360
Издательство: Springer
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Описание: This collection highlights the new trend away from rationalism and toward empiricism in the epistemology of modality. Early chapters focus on challenges to rationalist theories, essence-based approaches to modal knowledge, and the prospects for naturalizing modal epistemology.

Автор: Bano, Masooda (university Of Oxford)
Название: Revival of islamic rationalism
ISBN: 1108485316 ISBN-13(EAN): 9781108485319
Издательство: Cambridge Academ
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Описание: This book presents an in-depth analysis of a movement, led by a network of Islamic scholars in the West, which is leading to revival of Islamic rationalism. The book defines Islamic rationalism, explains why it is argued to present the Sunni orthodoxy, and why it is proving very popular among young Muslims.

Автор: Brown
Название: Platonism, Naturalism, and Mathematical Knowledge
ISBN: 1138809772 ISBN-13(EAN): 9781138809772
Издательство: Taylor&Francis
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Описание: This study addresses a central theme in current philosophy: Platonism vs Naturalism and provides accounts of both approaches to mathematics, crucially discussing Quine, Maddy, Kitcher, Lakoff, Colyvan, and many others. Beginning with accounts of both approaches, Brown defends Platonism by arguing that only a Platonistic approach can account for concept acquisition in a number of special cases in the sciences. He also argues for a particular view of applied mathematics, a view that supports Platonism against Naturalist alternatives. Not only does this engaging book present the Platonist-Naturalist debate over mathematics in a comprehensive fashion, but it also sheds considerable light on non-mathematical aspects of a dispute that is central to contemporary philosophy.

Автор: Gerhard Biller, Stefan Jenschke, Herma Kliege-Biller, Stefan Lorenz, Stephan Meier-Oeser, Heinrich Schepers, Martin Schneider
Название: 1695-1700
ISBN: 3050051515 ISBN-13(EAN): 9783050051512
Издательство: Walter de Gruyter
Цена: 52067.00 р.
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Описание: Der dritte Band des philosophischen Briefwechsels umfasst die Jahre von 1695 bis einschlie?lich 1700. Er dokumentiert damit aus der Perspektive der wissenschaftlichen Korrespondenz jene bedeutende Phase, in der Leibniz, in Vertiefung der Auseinandersetzung mit der cartesianischen Philosophie, bei der Fundierung und Ausformulierung seiner physikalischen und metaphysischen Theorien einen Punkt erreicht, der es ihm ermoglicht, mit seinem nun auch explizit als ein solches bezeichnetem System an die Offentlichkeit zu treten. Dies geschieht, die enge Verbindung von Kraft- und Substanzbegriff und damit von Dynamik und Metaphysik belegend, in zwei zeitnah 1695 erscheinenden Schriften, dem „Specimen dynamicum“ und dem „Systeme nouveau de la nature et de la communication des substances“, deren Thesen in mehreren Korrespondenzen (J. Chr. Sturm, Basnage, Cousin, Foucher) intensiv diskutiert werden. Besonders hervorzuheben ist die 1698 beginnende Korrespondenz mit Bucher de Volder, die, thematisch vom Kraft- zum Substanzbegriff ubergehend, als eine der wichtigsten Quellen fur das Verstandnis der entwickelten Metaphysik von Leibniz gelten kann, sowie der ebenfalls im vorliegenden Band beginnende Schriftwechsel mit Gabriel Wagner, in dessen Verlauf Leibniz seinen beruhmten Logikbrief zur Verteidigung derselben schreibt. Insgesamt werden neben vielfaltigsten Nova Literaria (Nicaise, Fardella, Placcius) zentrale Themenkomplexe der Leibniz’schen Philosophie verhandelt: menschliche Freiheit und Theodizee (Dobrzenski), Cabbala und nichtmechanistische Naturerklarung (F. M. van Helmont), Mathematik und Metaphysik (Schulenburg), Logik und juristische Hermeneutik (Lungershausen), Mathematik und Theologie (H. Horch). Die immer wieder verbluffende Vielfalt der zeitgleich in den verschiedenen Korrespondenzen angesprochenen Themenfelder kommt auch zum Ausdruck, wenn Leibniz im September 1695 Placcius gegenuber betont, „... ich habe so viel Neues in der Mathematik, so viele Gedanken in der Philosophie und so viele andere literarische Beobachtungen …, dass ich oft nicht wei?, was ich zuerst tun soll.“ Dass er am Ende des im vorliegenden Band dokumentierten Zeitraums mit den Ergebnissen seiner Arbeit gleichwohl nicht unzufrieden war, belegt eine Au?erung vom 15. Februar 1701, in der er gegenuber Bouvet ruckblickend mit Bezug auf seine Philosophie sagt: „Vous ne scauries croire, combien j’ay avance la dedans; j’ay des demonstrations en Metaphysique dont on n’a point encor vu de semblables.“

Автор: I.C. Jarvie; N. Laor
Название: Critical Rationalism, Metaphysics and Science
ISBN: 940104211X ISBN-13(EAN): 9789401042116
Издательство: Springer
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Описание: I suppose Joseph Agassi`s best and dearest self-description, his cher- ished wish, is to practice what his 1988 book promises: The Gentle Art of Philosophical Polemics.

Автор: Drozdowicz, Zbigniew
Название: Cartesian rationalism
ISBN: 3631661185 ISBN-13(EAN): 9783631661185
Издательство: Peter Lang
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Описание: Descartes gave the human intellect the central role in rationalism, his system therefore is a variant of intellectual rationalism. Other forms of rationalism had emerged in scholastic philosophy and the ancient philosophies of Plato and Aristotle. While Descartes had reservations with respect to all of them, he still adopted some of their elements: not even such a self-directed and critical philosopher as Descartes could have proceeded on the difficult journey towards truth without any baggage of tradition whatsoever. Those who treated this baggage as a useless burden and have attempted to pursue truth without carrying it, have only discovered things which had long been known.

Название: Experimental Philosophy, Rationalism, and Naturalism
ISBN: 1138887250 ISBN-13(EAN): 9781138887251
Издательство: Taylor&Francis
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Описание: What larger philosophical questions does experimental philosophy raise? Do rationalism and naturalism share more than we think? In what way is philosophy a distinctive discipline in the human sciences? Distinguished contributors examine these questions and more, using examples and arguments from recent work in perception, the analytic-synthetic distinction, semantics and cognition.

Название: Experimental Philosophy, Rationalism, and Naturalism
ISBN: 1138887285 ISBN-13(EAN): 9781138887282
Издательство: Taylor&Francis
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Описание: What larger philosophical questions does experimental philosophy raise? Do rationalism and naturalism share more than we think? In what way is philosophy a distinctive discipline in the human sciences? Distinguished contributors examine these questions and more, using examples and arguments from recent work in perception, the analytic-synthetic distinction, semantics and cognition.

Автор: I.C. Jarvie; N. Laor
Название: Critical Rationalism, Metaphysics and Science
ISBN: 0792329600 ISBN-13(EAN): 9780792329602
Издательство: Springer
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Цена: 25149.00 р.
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Описание: This text focuses on the philosophical framework known as critical rationalism, testing its limitations and discovering surprising connections. The essays illustrate the fecundity and range of Professor Agassi`s interests, and the broad range of persons he has influenced.

Автор: Stillwell John
Название: Elements of Mathematics: From Euclid to Godel
ISBN: 0691178542 ISBN-13(EAN): 9780691178547
Издательство: Wiley
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Описание:

An exciting look at the world of elementary mathematics

Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics--but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become elementary. Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits.

From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of reverse mathematics confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics.

Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.

Автор: Marcus Russell
Название: Autonomy Platonism and the Indispensability Argument
ISBN: 073917312X ISBN-13(EAN): 9780739173121
Издательство: Bloomsbury
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Описание: This book includes detailed critical analysis of a wide variety of versions of the indispensability argument, as well as a novel approach to traditional views about mathematics.