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The Argument of Mathematics
Written by experts in the field, this volume presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. Argumentation theory studies reasoning and argument, and especially those aspects not addressed, or not addressed well, by formal deduction. The philosophy of mathematical practice diverges from mainstream philosophy of mathematics in the emphasis it places on what the majority of working mathematicians actually do, rather than on mathematical foundations. The book begins by first challenging the assumption that there is no role for informal logic in mathematics. Next, it details the usefulness of argumentation theory in the understanding of mathematical practice, offering an impressively diverse set of examples, covering the history of mathematics, mathematics education and, perhaps surprisingly, formal proof verification. From there, the book demonstrates that mathematics also offers a valuable testbed for argumentation theory. Coverage concludes by defending attention to mathematical argumentation as the basis for new perspectives on the philosophy of mathematics.
Rhetoric
What do you do when you use a metaphor? Or a simile or analogy? Can you tell the difference between a synecdoche and a metonymy? What are the secret tricks used every day by professional persuaders? In this learned little volume, illustrated by Merrily Harpur, rhetoricians Adina Arvatu and Andrew Aberdein demonstrate the principles of Rhetoric via its key figures and devices, using copious examples to show how all human communication deploys the time-tested techniques of this elegant and ancient art. "Fascinating" FINANCIAL TIMES. "Beautiful" LONDON REVIEW OF BOOKS. "Rich and Artful" THE LANCET. "Genuinely mind-expanding" FORTEAN TIMES. "Excellent" NEW SCIENTIST. "Stunning" NEW YORK TIMES. Small books, big ideas.
The Development of Modern Logic
This edited volume presents a comprehensive history of modern logic from the Middle Ages through the end of the twentieth century. In addition to a history of symbolic logic, the contributors also examine developments in the philosophy of logic and philosophical logic in modern times. The book begins with chapters on late medieval developments and logic and philosophy of logic from Humanism to Kant. The following chapters focus on the emergence of symbolic logic with special emphasis on the relations between logic and mathematics, on the one hand, and on logic and philosophy, on the other. This discussion is completed by a chapter on the themes of judgment and inference from 1837-1936. The v...
Virtue in Global Governance
Since rules - legal, ethical or otherwise - cannot determine their own application, they require persons of flesh and blood to interpret and apply them in concrete cases. Presidents and prime ministers, judges, prosecutors, mediators, leaders of international organizations, and even religious leaders and public intellectuals make decisions on how best to understand rules and how best to apply them. It stands to reason that their character traits influence the sort of decisions they take. This book provides the first systematic framework for discussing global governance in terms of the virtues, and illustrates it with a number of detailed examples of concrete decision-making in specific situations. Virtue in Global Governance combines insights from law, ethics, and global governance studies in developing a unique approach to global governance and international law.
From Argument Schemes to Argumentative Relations in the Wild
This volume comprises a selection of contributions to the theorizing about argumentation that have been presented at the 9th conference of the International Society for the Study of Argumentation (ISSA), held in Amsterdam in July 2018. The chapters included provide a general theoretical perspective on central topics in argumentation theory, such as argument schemes and the fallacies. Some contributions concentrate on the treatment of the concept of conductive argument. Other contributions are dedicated to specific issues such as the justification of questions, the occurrence of mining relations, the role of exclamatives, argumentative abduction, eudaimonistic argumentation and a typology of ...
Perspectives on Mathematical Practices
In the eyes of the editors, this book will be considered a success if it can convince its readers of the following: that it is warranted to dream of a realistic and full-fledged theory of mathematical practices, in the plural. If such a theory is possible, it would mean that a number of presently existing fierce oppositions between philosophers, sociologists, educators, and other parties involved, are in fact illusory.
The Best Writing on Mathematics 2018
The year’s finest mathematical writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2018 makes available to a wide audience many pieces not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These essays delve into the history, philosophy, teaching, and everyday aspects of math, offering surprising insights into its nature, meaning, and practice—and taking readers behind the scenes of today’s hottest mathematical debates. James Grime shows how to build subtly mi...
Knowing Fear
Tracing the development of horror entertainment since the late 18th century, this study argues that scientific discovery, technological progress, and knowledge in general have played an unparalleled role in influencing the evolution of horror. Throughout its many subgenres (biological horror, cosmic horror and others) and formats (film, literature, comics), horror records humanity's uneasy relationship with its own ability to reason, understand, and learn. The text first outlines a loose framework defining several distinct periods in horror development, then explores each period sequentially by looking at the scientific and cultural background of the period, its expression in horror literature, and its expression in horror visual and performing arts.
