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Axiomatic Thinking
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Book Synopsis Axiomatic Thinking I by : Fernando Ferreira
Download or read book Axiomatic Thinking I written by Fernando Ferreira and published by Springer Nature. This book was released on 2022-10-13 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this two-volume compilation of articles, leading researchers reevaluate the success of Hilbert's axiomatic method, which not only laid the foundations for our understanding of modern mathematics, but also found applications in physics, computer science and elsewhere. The title takes its name from David Hilbert's seminal talk Axiomatisches Denken, given at a meeting of the Swiss Mathematical Society in Zurich in 1917. This marked the beginning of Hilbert's return to his foundational studies, which ultimately resulted in the establishment of proof theory as a new branch in the emerging field of mathematical logic. Hilbert also used the opportunity to bring Paul Bernays back to Göttingen as his main collaborator in foundational studies in the years to come. The contributions are addressed to mathematical and philosophical logicians, but also to philosophers of science as well as physicists and computer scientists with an interest in foundations. Chapter 8 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Book Synopsis Axiomatic Thinking II by : Fernando Ferreira
Download or read book Axiomatic Thinking II written by Fernando Ferreira and published by Springer Nature. This book was released on 2022-09-17 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this two-volume compilation of articles, leading researchers reevaluate the success of Hilbert's axiomatic method, which not only laid the foundations for our understanding of modern mathematics, but also found applications in physics, computer science and elsewhere. The title takes its name from David Hilbert's seminal talk Axiomatisches Denken, given at a meeting of the Swiss Mathematical Society in Zurich in 1917. This marked the beginning of Hilbert's return to his foundational studies, which ultimately resulted in the establishment of proof theory as a new branch in the emerging field of mathematical logic. Hilbert also used the opportunity to bring Paul Bernays back to Göttingen as his main collaborator in foundational studies in the years to come. The contributions are addressed to mathematical and philosophical logicians, but also to philosophers of science as well as physicists and computer scientists with an interest in foundations.
Book Synopsis Axiomatic Method and Category Theory by : Andrei Rodin
Download or read book Axiomatic Method and Category Theory written by Andrei Rodin and published by Springer Science & Business Media. This book was released on 2013-10-14 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia. The author, a well-known philosopher and historian of mathematics, first examines Euclid, who is considered the father of the axiomatic method, before moving onto Hilbert and Lawvere. He then presents a deep textual analysis of each writer and describes how their ideas are different and even how their ideas progressed over time. Next, the book explores category theory and details how it has revolutionized the notion of the axiomatic method. It considers the question of identity/equality in mathematics as well as examines the received theories of mathematical structuralism. In the end, Rodin presents a hypothetical New Axiomatic Method, which establishes closer relationships between mathematics and physics. Lawvere's axiomatization of topos theory and Voevodsky's axiomatization of higher homotopy theory exemplify a new way of axiomatic theory building, which goes beyond the classical Hilbert-style Axiomatic Method. The new notion of Axiomatic Method that emerges in categorical logic opens new possibilities for using this method in physics and other natural sciences. This volume offers readers a coherent look at the past, present and anticipated future of the Axiomatic Method.
Download or read book Axiomatic written by Maria Tumarkin and published by Random House Australia. This book was released on 2021-05-04 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stories are not enough, even though they are essential. And books about history, books of psychology--the best of them take us closer, but still not close enough. Maria Tumarkin's Axiomatic is a boundary-shifting fusion of thinking, storytelling, reportage and meditation. It takes as its starting point five axioms: 'Time Heals All Wounds'; 'History Repeats Itself'; 'Those Who Forget the Past are Condemned to Repeat It'; 'Give Me a Child Before the Age of Seven and I Will Show You the Woman'; and 'You Can't Enter The Same River Twice.' These beliefs--or intuitions--about the role the past plays in our present are often evoked as if they are timeless and self-evident truths. It is precisely because they are neither, yet still we are persuaded by them, that they tell us a great deal about the forces that shape our culture and the way we live.
Book Synopsis Axiomatic Thinking by : Fernando Ferreira
Download or read book Axiomatic Thinking written by Fernando Ferreira and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this two-volume compilation of articles, leading researchers reevaluate the success of Hilbert's axiomatic method, which not only laid the foundations for our understanding of modern mathematics, but also found applications in physics, computer science and elsewhere. The title takes its name from David Hilbert's seminal talk Axiomatisches Denken, given at a meeting of the Swiss Mathematical Society in Zurich in 1917. This marked the beginning of Hilbert's return to his foundational studies, which ultimately resulted in the establishment of proof theory as a new branch in the emerging field of mathematical logic. Hilbert also used the opportunity to bring Paul Bernays back to Gottingen as his main collaborator in foundational studies in the years to come. The contributions are addressed to mathematical and philosophical logicians, but also to philosophers of science as well as physicists and computer scientists with an interest in foundations.
Author :Maria Antonaccio Assistant Professor of Religion Bucknell University Publisher :Oxford University Press, USA ISBN 13 :0198030193 Total Pages :258 pages Book Rating :4.1/5 (98 download)
Book Synopsis Picturing the Human : The Moral Thought of Iris Murdoch by : Maria Antonaccio Assistant Professor of Religion Bucknell University
Download or read book Picturing the Human : The Moral Thought of Iris Murdoch written by Maria Antonaccio Assistant Professor of Religion Bucknell University and published by Oxford University Press, USA. This book was released on 2000-05-31 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Iris Murdoch has long been known as one of the most deeply insightful and morally passionate novelists of our time. This attention has often eclipsed Murdoch's sophisticated and influential work as a philosopher, which has had a wide-ranging impact on thinkers in moral philosophy as well as religious ethics and political theory. Yet it has never been the subject of a book-length study in its own right. Picturing the Human seeks to fill this gap. In this groundbreaking book, author Maria Antonaccio presents the first systematic and comprehensive treatment of Murdoch's moral philosophy. Unlike literary critical studies of her novels, it offers a general philosophical framework for assessing Murdoch's thought as a whole. Antonaccio also suggests a new interpretive method for reading Murdoch's philosophy and outlines the significance of her thought in the context of current debates in ethics. This vital study will appeal to those interested in moral philosophy, religious ethics, and literary criticism, and grants those who have long loved Murdoch's novels a closer look at her remarkable philosophy.
Book Synopsis Gentzen's Centenary by : Reinhard Kahle
Download or read book Gentzen's Centenary written by Reinhard Kahle and published by Springer. This book was released on 2015-11-02 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gerhard Gentzen has been described as logic’s lost genius, whom Gödel called a better logician than himself. This work comprises articles by leading proof theorists, attesting to Gentzen’s enduring legacy to mathematical logic and beyond. The contributions range from philosophical reflections and re-evaluations of Gentzen’s original consistency proofs to the most recent developments in proof theory. Gentzen founded modern proof theory. His sequent calculus and natural deduction system beautifully explain the deep symmetries of logic. They underlie modern developments in computer science such as automated theorem proving and type theory.
Book Synopsis Routledge Encyclopedia of Philosophy: Genealogy to Iqbal by : Edward Craig
Download or read book Routledge Encyclopedia of Philosophy: Genealogy to Iqbal written by Edward Craig and published by Taylor & Francis. This book was released on 1998 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume four of a ten volume set which provides full and detailed coverage of all aspects of philosophy, including information on how philosophy is practiced in different countries, who the most influential philosophers were, and what the basic concepts are.
Book Synopsis Proceedings of the 7th International Conference on Axiomatic Design by : Mary Kathryn Thompson
Download or read book Proceedings of the 7th International Conference on Axiomatic Design written by Mary Kathryn Thompson and published by ICAD 2013. This book was released on 2013-06-26 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Complexity, Learning and Organizations by : Walter R.J. Baets
Download or read book Complexity, Learning and Organizations written by Walter R.J. Baets and published by Routledge. This book was released on 2007-01-24 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating book argues for a new way of looking at the world and at human systems, companies or (Western) society as a whole. Walter R.J. Baets argues that we should let go of our drive to control, manage and organize, in order to be able to create an ideal environment for continuous learning, both for ourselves and for our collaborators. Arguing in favour of a holistic management approach, and very much in opposition to the short-term shareholder value driven approaches that are popular today, Baets’ book develops a logic founded in real life observations, examples and cases that every reader will recognize in their daily practice. It guides the reader to understand an alternative paradigm and allows them finally to be able to work with the dynamics of business on a daily basis. A must-read for students of complexity, strategy and organizational behaviour, this well-researched, well-argued book skilfully guides the reader through this interesting subject.
Book Synopsis Laruelle and Non-Philosophy by : John Mullarkey
Download or read book Laruelle and Non-Philosophy written by John Mullarkey and published by Edinburgh University Press. This book was released on 2012-07-03 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first collection of critical essays on the work of this most original thinker. Francois Laruelle is one of the most important French philosophers of the last 20 years, and as his texts have become available in English there has been a rising tide of interest in his work, particularly on the concept of 'Non-Philosophy'. Non-philosophy radically rethinks many of the most cutting-edge concepts such as immanence, pluralism, resistance, science, democracy, decisionism, Marxism, theology and materialism. It also expands our view of what counts as philosophical thought, through art, science and politics, and beyond to fields as varied as film, animality and material objects.
Book Synopsis Mathematical Thought From Ancient to Modern Times, Volume 3 by : Morris Kline
Download or read book Mathematical Thought From Ancient to Modern Times, Volume 3 written by Morris Kline and published by Oxford University Press. This book was released on 1990-03-01 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the disciplines origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.
Book Synopsis The Great Formal Machinery Works by : Jan von Plato
Download or read book The Great Formal Machinery Works written by Jan von Plato and published by Princeton University Press. This book was released on 2017-08-02 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The information age owes its existence to a little-known but crucial development, the theoretical study of logic and the foundations of mathematics. The Great Formal Machinery Works draws on original sources and rare archival materials to trace the history of the theories of deduction and computation that laid the logical foundations for the digital revolution. Jan von Plato examines the contributions of figures such as Aristotle; the nineteenth-century German polymath Hermann Grassmann; George Boole, whose Boolean logic would prove essential to programming languages and computing; Ernst Schröder, best known for his work on algebraic logic; and Giuseppe Peano, cofounder of mathematical logic. Von Plato shows how the idea of a formal proof in mathematics emerged gradually in the second half of the nineteenth century, hand in hand with the notion of a formal process of computation. A turning point was reached by 1930, when Kurt Gödel conceived his celebrated incompleteness theorems. They were an enormous boost to the study of formal languages and computability, which were brought to perfection by the end of the 1930s with precise theories of formal languages and formal deduction and parallel theories of algorithmic computability. Von Plato describes how the first theoretical ideas of a computer soon emerged in the work of Alan Turing in 1936 and John von Neumann some years later. Shedding new light on this crucial chapter in the history of science, The Great Formal Machinery Works is essential reading for students and researchers in logic, mathematics, and computer science.
Book Synopsis Historical Epistemology and European Philosophy of Science by : Fabio Minazzi
Download or read book Historical Epistemology and European Philosophy of Science written by Fabio Minazzi and published by Springer Nature. This book was released on 2022-04-01 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive analysis on the evolution of philosophy of science, with a special emphasis on the European tradition of the twentieth century. At first, it shows how the epistemological problem of the objectivity of knowledge and axiomatic knowledge have been previously tackled by transcendentalism, critical rationalism and hermeneutics. In turn, it analyses the axiological dimension of scientific research, moving from traditional model of science and of scientific methods, to the construction of a new image of knowledge that leverages the philosophical tradition of the Milan School. Using this historical-epistemological approach, the author rethinks the Kantian Transcendental, showing how it could be better integrated in the current philosophy of science, to answer important questions such as the relationship between science and history, scientific and social perspectives and philosophy and technology, among others. Not only this book provides a comprehensive study of the evolution of European Philosophy of Science in the twentieth century, yet it offers a new, historical and epistemological-based approach, that could be used to answers many urgent questions of contemporary societies.
Book Synopsis Logos and Alogon by : Arkady Plotnitsky
Download or read book Logos and Alogon written by Arkady Plotnitsky and published by Springer Nature. This book was released on 2023-01-16 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a philosophical study of mathematics, pursued by considering and relating two aspects of mathematical thinking and practice, especially in modern mathematics, which, having emerged around 1800, consolidated around 1900 and extends to our own time, while also tracing both aspects to earlier periods, beginning with the ancient Greek mathematics. The first aspect is conceptual, which characterizes mathematics as the invention of and working with concepts, rather than only by its logical nature. The second, Pythagorean, aspect is grounded, first, in the interplay of geometry and algebra in modern mathematics, and secondly, in the epistemologically most radical form of modern mathematics, designated in this study as radical Pythagorean mathematics. This form of mathematics is defined by the role of that which beyond the limits of thought in mathematical thinking, or in ancient Greek terms, used in the book’s title, an alogon in the logos of mathematics. The outcome of this investigation is a new philosophical and historical understanding of the nature of modern mathematics and mathematics in general. The book is addressed to mathematicians, mathematical physicists, and philosophers and historians of mathematics, and graduate students in these fields.
Book Synopsis Bulletin by : University of New Mexico
Download or read book Bulletin written by University of New Mexico and published by . This book was released on 1918 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bulletin. Philosophical Series by : University of New Mexico!
Download or read book Bulletin. Philosophical Series written by University of New Mexico! and published by . This book was released on 1918 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
