Morality And Mathematics
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Morality And Mathematics
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Author : Justin Clarke-Doane
language : en
Publisher:
Release Date : 2020
Morality And Mathematics written by Justin Clarke-Doane and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Mathematics categories.
Are there moral facts? Are there mathematical facts? Many say yes to the latter but no to the former. Justin Clarke-Doane argues that the situation is much more subtle: although there are no real moral facts, morality is objective in a paradigmatic respect. Conversely, while there are real mathematical facts, mathematics fails to be objective.
Morality And Mathematics
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Author : Justin Clarke-Doane
language : en
Publisher: Oxford University Press
Release Date : 2020-03-12
Morality And Mathematics written by Justin Clarke-Doane and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-12 with Philosophy categories.
To what extent are the subjects of our thoughts and talk real? This is the question of realism. In this book, Justin Clarke-Doane explores arguments for and against moral realism and mathematical realism, how they interact, and what they can tell us about areas of philosophical interest more generally. He argues that, contrary to widespread belief, our mathematical beliefs have no better claim to being self-evident or provable than our moral beliefs. Nor do our mathematical beliefs have better claim to being empirically justified than our moral beliefs. It is also incorrect that reflection on the genealogy of our moral beliefs establishes a lack of parity between the cases. In general, if one is a moral antirealist on the basis of epistemological considerations, then one ought to be a mathematical antirealist as well. And, yet, Clarke-Doane shows that moral realism and mathematical realism do not stand or fall together -- and for a surprising reason. Moral questions, insofar as they are practical, are objective in a sense that mathematical questions are not, and the sense in which they are objective can only be explained by assuming practical anti-realism. One upshot of the discussion is that the concepts of realism and objectivity, which are widely identified, are actually in tension. Another is that the objective questions in the neighborhood of factual areas like logic, modality, grounding, and nature are practical questions too. Practical philosophy should, therefore, take center stage.
Ethical Theory
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Author : Russ Shafer-Landau
language : en
Publisher: John Wiley & Sons
Release Date : 2007-07-30
Ethical Theory written by Russ Shafer-Landau and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-30 with Philosophy categories.
In presenting this reader on ethical theory, Shafer-Landau (philosophy, U. of Wisconsin) has made sure to cover the standard topics of the day, consequentialism, deontology, contractarianism, and virtue ethics, but has also sought to include areas that are less common in sections on moral standing, moral responsibility, moral knowledge, and works that question the very possibility of systematic ethics. He also includes a section that discusses ethics and religion and another that examines prima facie duties and particularism. Rather than include critics' views following the various theoretical presentations, he has instead decided to include more works of allied thinkers in order to provide readers with a more nuanced view of the particular view in question. Selections from classic writers such as Aristotle, Thomas Hobbes, Immanuel Kant, and Plato are accompanied by more contemporary writings. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com) -- Distributed by Syndetic Solutions, LLC.
Moral Calculations
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Author : Laszlo Mero
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Moral Calculations written by Laszlo Mero and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Are people ever rational? Consider this: You auction off a one-dollar bill to the highest bidder, but you set the rules so that the second highest bidder also has to pay the amount of his last bid, even though he gets nothing. Would people ever enter such an auction? Not only do they, but according to Martin Shubik, the game's inventor, the average winning bid (for a dollar, remember) is $3.40. Many winners report that they bid so high only because their opponent "went completely crazy." This game lies at the intersection of three subjects of eternal fascination: human psychology, morality, and John von Neumann's game theory. Hungarian game-theorist Laszlo Mero introduces us to the basics of game theory, including such concepts as zero-sum games, Prisoner's Dilemma and the origins of altruism; shows how game theory is applicable to fields ranging from physics to politics; and explores the role of rational thinking in the context of many different kinds of thinking. This fascinating, urbane book will interest everyone who wonders what mathematics can tell us about the human condition.
Explanation In Ethics And Mathematics
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Author : Uri D. Leibowitz
language : en
Publisher: Oxford University Press
Release Date : 2016
Explanation In Ethics And Mathematics written by Uri D. Leibowitz and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematics categories.
How far should our realism extend? For many years philosophers of mathematics and philosophers of ethics have worked independently to address the question of how best to understand the entities apparently referred to by mathematical and ethical talk. But the similarities between their endeavours are not often emphasised. This book provides that emphasis. In particular, it focuses on two types of argumentative strategies that have been deployed in both areas. The first--debunking arguments--aims to put pressure on realism by emphasising the seeming redundancy of mathematical or moral entities when it comes to explaining our judgements. In the moral realm this challenge has been made by Gilbert Harman and Sharon Street; in the mathematical realm it is known as the 'Benacerraf-Field' problem. The second strategy--indispensability arguments--aims to provide support for realism by emphasising the seeming intellectual indispensability of mathematical or moral entities, for example when constructing good explanatory theories. This strategy is associated with Quine and Putnam in mathematics and with Nicholas Sturgeon and David Enoch in ethics. Explanation in Ethics and Mathematics addresses these issues through an explicitly comparative methodology which we call the 'companions in illumination' approach. By considering how argumentative strategies in the philosophy of mathematics might apply to the philosophy of ethics, and vice versa, the papers collected here break new ground in both areas. For good measure, two further companions for illumination are also broached: the philosophy of chance and the philosophy of religion. Collectively, these comparisons light up new questions, arguments, and problems of interest to scholars interested in realism in any area.
The Birth Of Ethics
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Author : Philip Pettit
language : en
Publisher: Oxford University Press
Release Date : 2018-10-15
The Birth Of Ethics written by Philip Pettit and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-15 with Philosophy categories.
Imagine a human society, perhaps in pre-history, in which people were generally of a psychological kind with us, had the use of natural language to communicate with one another, but did not have any properly moral concepts in which to exhort one another to meet certain standards and to lodge related claims and complaints. According to The Birth of Ethics, the members of that society would have faced a set of pressures, and made a series of adjustments in response, sufficient to put them within reach of ethical concepts. Without any planning, they would have more or less inevitably evolved a way of using such concepts to articulate desirable patterns of behavior and to hold themselves and one another responsible to those standards. Sooner or later, they would have entered ethical space. While this central claim is developed as a thesis in conjectural history or genealogy, the aim of the exercise is philosophical. Assuming that it explains the emergence of concepts and practices that are more or less equivalent to ours, the story offers us an account of the nature and role of morality. It directs us to the function that ethics plays in human life and alerts us to the character in virtue of which it can serve that function. The emerging view of morality has implications for the standard range of questions in meta-ethics and moral psychology, and enables us to understand why there are divisions in normative ethics like that between consequentialist and Kantian approaches.
Greek Mathematical Thought And The Origin Of Algebra
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Author : Jacob Klein
language : en
Publisher: Courier Corporation
Release Date : 2013-04-22
Greek Mathematical Thought And The Origin Of Algebra written by Jacob Klein and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-22 with Mathematics categories.
Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.
Explanation In Ethics And Mathematics
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Author : Uri D. Leibowitz
language : en
Publisher: Oxford University Press
Release Date : 2016-05-26
Explanation In Ethics And Mathematics written by Uri D. Leibowitz and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-26 with Philosophy categories.
How far should our realism extend? For many years philosophers of mathematics and philosophers of ethics have worked independently to address the question of how best to understand the entities apparently referred to by mathematical and ethical talk. But the similarities between their endeavours are not often emphasised. This book provides that emphasis. In particular, it focuses on two types of argumentative strategies that have been deployed in both areas. The first--debunking arguments--aims to put pressure on realism by emphasising the seeming redundancy of mathematical or moral entities when it comes to explaining our judgements. In the moral realm this challenge has been made by Gilbert Harman and Sharon Street; in the mathematical realm it is known as the 'Benacerraf-Field' problem. The second strategy--indispensability arguments--aims to provide support for realism by emphasising the seeming intellectual indispensability of mathematical or moral entities, for example when constructing good explanatory theories. This strategy is associated with Quine and Putnam in mathematics and with Nicholas Sturgeon and David Enoch in ethics. Explanation in Ethics and Mathematics addresses these issues through an explicitly comparative methodology which we call the 'companions in illumination' approach. By considering how argumentative strategies in the philosophy of mathematics might apply to the philosophy of ethics, and vice versa, the papers collected here break new ground in both areas. For good measure, two further companions for illumination are also broached: the philosophy of chance and the philosophy of religion. Collectively, these comparisons light up new questions, arguments, and problems of interest to scholars interested in realism in any area.
Compassionate Moral Realism
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Author : Colin Marshall
language : en
Publisher: Oxford University Press
Release Date : 2018
Compassionate Moral Realism written by Colin Marshall and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Philosophy categories.
Colin Marshall offers a ground-up defense of objective morality, drawing inspiration from a wide range of philosophers, including John Locke, Arthur Schopenhauer, Iris Murdoch, Nel Noddings, and David Lewis. Marshall's core claim is compassion is our capacity to perceive other creatures' pains, pleasures, and desires. Non-compassionate people are therefore perceptually lacking, regardless of how much factual knowledge they might have. Marshall argues that people who do have this form of compassion thereby fit a familiar paradigm of moral goodness. His argument involves the identification of an epistemic good which Marshall dubs "being in touch". To be in touch with some property of a thing requires experiencing it in a way that reveals that property - that is, experiencing it as it is in itself. Only compassion, Marshall argues, lets us be in touch with others' motivational mental properties. This conclusion about compassion has two important metaethical consequences. First, it generates an answer to the question "Why be moral?", which has been a central philosophical concern since Plato. Second, it provides the keystone for a novel form of moral realism. This form of moral realism has a distinctive set of virtues: it is anti-relativist, naturalist, and able to identify a necessary connection between moral representation and motivation. The view also implies that there is an epistemic asymmetry between virtuous and vicious agents, according to which only morally good people can fully face reality.
Circles Disturbed
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Author : Apostolos Doxiadis
language : en
Publisher: Princeton University Press
Release Date : 2012-03-18
Circles Disturbed written by Apostolos Doxiadis and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-18 with Mathematics categories.
Why narrative is essential to mathematics Circles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. The book's title recalls the last words of the great Greek mathematician Archimedes before he was slain by a Roman soldier—"Don't disturb my circles"—words that seem to refer to two radically different concerns: that of the practical person living in the concrete world of reality, and that of the theoretician lost in a world of abstraction. Stories and theorems are, in a sense, the natural languages of these two worlds—stories representing the way we act and interact, and theorems giving us pure thought, distilled from the hustle and bustle of reality. Yet, though the voices of stories and theorems seem totally different, they share profound connections and similarities. A book unlike any other, Circles Disturbed delves into topics such as the way in which historical and biographical narratives shape our understanding of mathematics and mathematicians, the development of "myths of origins" in mathematics, the structure and importance of mathematical dreams, the role of storytelling in the formation of mathematical intuitions, the ways mathematics helps us organize the way we think about narrative structure, and much more. In addition to the editors, the contributors are Amir Alexander, David Corfield, Peter Galison, Timothy Gowers, Michael Harris, David Herman, Federica La Nave, G.E.R. Lloyd, Uri Margolin, Colin McLarty, Jan Christoph Meister, Arkady Plotnitsky, and Bernard Teissier.