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Extensionalism: The Revolution in Logic

2008-04-03 Philosophy
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Release : 2008-04-03
Genre : Philosophy
Kind : eBook
Book Rating : 685/5 ( reviews)

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Book Synopsis Extensionalism: The Revolution in Logic by : Nimrod Bar-Am

Download or read book Extensionalism: The Revolution in Logic written by Nimrod Bar-Am. This book was released on 2008-04-03. Available in PDF, EPUB and Kindle. Book excerpt: a single life-span. Philosophers, then, do not see more or know more, and they do not see less or know less. They aim to see less detail and more of the abstract. Their details, if you like, are abstractions. Walking on God’s earth as a pedestrian, as a farmer working his fields or as a passer-by, one’s picture of one’s surroundings is every bit as intelligent as that of the pilot riding the sky. The views of the field are radically different, however. One sees only a specific field and in all lively detail: the exact pattern of the land, or even the exact outline of a given leaf, grasshopper, grain of sand even. Acquaintance with minute detail is not without its price: details may stand in the way of conjuring the big picture. It may be difficult to compare whichever field one happens to be in with far off fields, with respect to their size or shape or any other quality. One may wish to inquire if far off fields were already planted, harvested, or even if they exist. A pedestrian may find it hard or even impossible to do so. The pedestrian view contains fine points that the pilot’s map never would, but it does not necessarily contain more information, for it lacks the general context. After all, there are only so many items that one can observe and account for at a single glance, a single map, a single book, a single life-span.

Pluralism in Mathematics: A New Position in Philosophy of Mathematics

2013-11-20 Science
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Release : 2013-11-20
Genre : Science
Kind : eBook
Book Rating : 588/5 ( reviews)

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Book Synopsis Pluralism in Mathematics: A New Position in Philosophy of Mathematics by : Michèle Friend

Download or read book Pluralism in Mathematics: A New Position in Philosophy of Mathematics written by Michèle Friend. This book was released on 2013-11-20. Available in PDF, EPUB and Kindle. Book excerpt: This book is about philosophy, mathematics and logic, giving a philosophical account of Pluralism which is a family of positions in the philosophy of mathematics. There are four parts to this book, beginning with a look at motivations for Pluralism by way of Realism, Maddy’s Naturalism, Shapiro’s Structuralism and Formalism. In the second part of this book the author covers: the philosophical presentation of Pluralism; using a formal theory of logic metaphorically; rigour and proof for the Pluralist; and mathematical fixtures. In the third part the author goes on to focus on the transcendental presentation of Pluralism, and in part four looks at applications of Pluralism, such as a Pluralist approach to proof in mathematics and how Pluralism works in regard to together-inconsistent philosophies of mathematics. The book finishes with suggestions for further Pluralist enquiry. In this work the author takes a deeply radical approach in developing a new position that will either convert readers, or act as a strong warning to treat the word ‘pluralism’ with care.

Karl Popper's Science and Philosophy

2021-07-19 Science
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Release : 2021-07-19
Genre : Science
Kind : eBook
Book Rating : 368/5 ( reviews)

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Book Synopsis Karl Popper's Science and Philosophy by : Zuzana Parusniková

Download or read book Karl Popper's Science and Philosophy written by Zuzana Parusniková. This book was released on 2021-07-19. Available in PDF, EPUB and Kindle. Book excerpt: Of all philosophers of the 20th century, few built more bridges between academic disciplines than Karl Popper. He contributed to a wide variety of fields in addition to the epistemology and the theory of scientific method for which he is best known. This book illustrates and evaluates the impact, both substantive and methodological, that Popper has had in the natural and mathematical sciences. The topics selected include quantum mechanics, evolutionary biology, cosmology, mathematical logic, statistics, and cognitive science. The approach is multidisciplinary, opening a dialogue across scientific disciplines and between scientists and philosophers.

Rethinking Popper

2009-03-13 Philosophy
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Release : 2009-03-13
Genre : Philosophy
Kind : eBook
Book Rating : 381/5 ( reviews)

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Book Synopsis Rethinking Popper by : Zuzana Parusniková

Download or read book Rethinking Popper written by Zuzana Parusniková. This book was released on 2009-03-13. Available in PDF, EPUB and Kindle. Book excerpt: In September 2007, more than 100 philosophers came to Prague with the determination to approach Karl Popper’s philosophy as a source of inspiration in many areas of our intellectual endeavor. This volume is a result of that effort. Topics cover Popper’s views on rationality, scientific methodology, the evolution of knowledge and democracy; and since Popper’s philosophy has always had a strong interdisciplinary influence, part of the volume discusses the impact of his ideas in such areas as education, economics, psychology, biology, or ethics. The concept of falsification, the problem of demarcation, the ban on induction, or the role of the empirical basis, along with the provocative parallels between historicism, holism and totalitarianism, have always caused controversies. The aim of this volume is not to smooth them but show them as a challenge. In this time when the traditional role of reason in the Western thought is being undermined, Popper’s non-foundationist model of reason brings the Enlightenment message into a new perspective. Popper believed that the open society was vulnerable, due precisely to its tolerance of otherness. This is a matter of great urgency in the modern world, as cultures based on different values gain prominence. The processes related to the extending of the EU, or the increasing economic globalization also raise questions about openness and democracy. The volume’s aim is to show the vitality of critical rationalism in addressing and responding to the problems of this time and this world.

A Theory of Philosophical Fallacies

2015-08-07 Philosophy
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Release : 2015-08-07
Genre : Philosophy
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Book Rating : 830/5 ( reviews)

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Book Synopsis A Theory of Philosophical Fallacies by : Leonard Nelson

Download or read book A Theory of Philosophical Fallacies written by Leonard Nelson. This book was released on 2015-08-07. Available in PDF, EPUB and Kindle. Book excerpt: Presented as a Vorlesung in the German philosophical tradition, this book presents the most detailed account of Nelson’s method of argument analysis, celebrated by many luminaries such as Karl Popper. It was written in 1921 in opposition to the relativistic, subjectivistic and nihilistic tendencies of Nelson’s time. The book contains an exposition of a method that is a further development of Kant’s transcendental dialectics, followed by an application to the critical analysis of arguments by many famous thinkers, including Bentham, Mill, Poincaré, Leibniz, Hegel, Einstein, Bergson, Rickert, Simmel, Brentano, Stammler, Jellinek, Dingler, and Meinong. The book presents a general theory of philosophical argumentation as seen from the viewpoint of the typical fallacies committed by anybody arguing philosophically, whether professional philosophers or philosophical laypeople. Although the nature of philosophy and philosophical argumentation is one of the most recurrent objects of reflection for philosophers, this book represents the first attempt at a general theory of philosophical fallacy. According to Nelson, it is in the shape of false dilemmas that errors in reasoning always emerge, and false dilemmas are always the result of the same mechanism--the unwitting replacement of one concept for another.

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