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Morality and Mathematics

Morality and Mathematics PDF Author: Justin Clarke-Doane
Publisher: Oxford University Press
ISBN: 0192556800
Category : Philosophy
Languages : en
Pages : 208

Book Description
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.

Morality and Mathematics

Morality and Mathematics PDF Author: Justin Clarke-Doane
Publisher: Oxford University Press
ISBN: 0192556800
Category : Philosophy
Languages : en
Pages : 208

Book Description
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.

Explanation in Ethics and Mathematics

Explanation in Ethics and Mathematics PDF Author: Uri D. Leibowitz
Publisher: Oxford University Press
ISBN: 0191084263
Category : Philosophy
Languages : en
Pages : 327

Book Description
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.

Moral Realism

Moral Realism PDF Author: Russ Shafer-Landau
Publisher: Oxford University Press
ISBN: 0199259755
Category : Philosophy
Languages : en
Pages : 333

Book Description
Moral Realism is a systematic defence of the idea that there are objective moral standards. In the tradition of Plato and G. E. Moore, Russ Shafer-Landau argues that there are moral principles that are true independently of what anyone, anywhere, happens to think of them. These principles are a fundamental aspect of reality, just as much as those that govern mathematics or the natural world. They may be true regardless of our ability to grasp them, and their truth is not a matter of their being ratified from any ideal standpoint, nor of being the object of actual or hypothetical consensus, nor of being an expression of our rational nature. Shafer-Landau accepts Plato's and Moore's contention that moral truths are sui generis. He rejects the currently popular efforts to conceive of ethics as a kind of science, and insists that moral truths and properties occupy a distinctive area in our ontology. Unlike scientific truths, the fundamental moral principles are knowable a priori. And unlike mathematical truths, they are essentially normative: intrinsically action-guiding, and supplying a justification for all who follow their counsel. Moral Realism is the first comprehensive treatise defending non-naturalistic moral realism in over a generation. It ranges over all of the central issues in contemporary metaethics, and will be an important source of discussion for philosophers and their students interested in issues concerning the foundations of ethics.

Moral Disagreement

Moral Disagreement PDF Author: Folke Tersman
Publisher: Cambridge University Press
ISBN: 9780521853385
Category : Philosophy
Languages : en
Pages : 172

Book Description
Folke Tersman explores the nature of moral thinking by examining moral disagreement.

Metaethics from a First Person Standpoint

Metaethics from a First Person Standpoint PDF Author: Catherine Wilson
Publisher: Open Book Publishers
ISBN: 1783742011
Category : Philosophy
Languages : en
Pages : 128

Book Description
Metaethics from a First Person Standpoint addresses in a novel format the major topics and themes of contemporary metaethics, the study of the analysis of moral thought and judgement. Metathetics is less concerned with what practices are right or wrong than with what we mean by ‘right’ and ‘wrong.’ Looking at a wide spectrum of topics including moral language, realism and anti-realism, reasons and motives, relativism, and moral progress, this book engages students and general readers in order to enhance their understanding of morality and moral discourse as cultural practices. Catherine Wilson innovatively employs a first-person narrator to report step-by-step an individual’s reflections, beginning from a position of radical scepticism, on the possibility of objective moral knowledge. The reader is invited to follow along with this reasoning, and to challenge or agree with each major point. Incrementally, the narrator is led to certain definite conclusions about ‘oughts’ and norms in connection with self-interest, prudence, social norms, and finally morality. Scepticism is overcome, and the narrator arrives at a good understanding of how moral knowledge and moral progress are possible, though frequently long in coming. Accessibly written, Metaethics from a First Person Standpoint presupposes no prior training in philosophy and is a must-read for philosophers, students and general readers interested in gaining a better understanding of morality as a personal philosophical quest.

Moral Calculations

Moral Calculations PDF Author: Laszlo Mero
Publisher: Springer Science & Business Media
ISBN: 1461216540
Category : Mathematics
Languages : en
Pages : 298

Book Description
What does game theory tell us about rational behavior? Is there such a thing as rational behavior, and if so, is it of any use to us? In this fascinating book, renowned Hungarian economist Laszlo Mero shows how game theory provides insight into such aspects of human psychology as altruism, competition, and politics, as well as its relevance to disparate fields such as physics and evolutionary biology. This ideal guide shows us how mathematics can illuminate the human condition.

How Much Inequality Is Fair?

How Much Inequality Is Fair? PDF Author: Venkat Venkatasubramanian
Publisher: Columbia University Press
ISBN: 0231543220
Category : Business & Economics
Languages : en
Pages : 410

Book Description
Many in the United States feel that the nation’s current level of economic inequality is unfair and that capitalism is not working for 90% of the population. Yet some inequality is inevitable. The question is: What level of inequality is fair? Mainstream economics has offered little guidance on fairness and the ideal distribution of income. Political philosophy, meanwhile, has much to say about fairness yet relies on qualitative theories that cannot be verified by empirical data. To address inequality, we need to know what the goal is—and for this, we need a quantitative, testable theory of fairness for free-market capitalism. How Much Inequality Is Fair? synthesizes concepts from economics, political philosophy, game theory, information theory, statistical mechanics, and systems engineering into a mathematical framework for a fair free-market society. The key to this framework is the insight that maximizing fairness means maximizing entropy, which makes it possible to determine the fairest possible level of pay inequality. The framework therefore provides a moral justification for capitalism in mathematical terms. Venkat Venkatasubramanian also compares his theory’s predictions to actual inequality data from various countries—showing, for instance, that Scandinavia has near-ideal fairness, while the United States is markedly unfair—and discusses the theory’s implications for tax policy, social programs, and executive compensation.

Weapons of Math Destruction

Weapons of Math Destruction PDF Author: Cathy O'Neil
Publisher: Crown Publishing Group (NY)
ISBN: 0553418815
Category : Business & Economics
Languages : en
Pages : 274

Book Description
"A former Wall Street quantitative analyst sounds an alarm on mathematical modeling, a pervasive new force in society that threatens to undermine democracy and widen inequality,"--NoveList.

The Evolution of Morality

The Evolution of Morality PDF Author: Richard Joyce
Publisher: MIT Press
ISBN: 0262263254
Category : Philosophy
Languages : en
Pages : 285

Book Description
Moral thinking pervades our practical lives, but where did this way of thinking come from, and what purpose does it serve? Is it to be explained by environmental pressures on our ancestors a million years ago, or is it a cultural invention of more recent origin? In The Evolution of Morality, Richard Joyce takes up these controversial questions, finding that the evidence supports an innate basis to human morality. As a moral philosopher, Joyce is interested in whether any implications follow from this hypothesis. Might the fact that the human brain has been biologically prepared by natural selection to engage in moral judgment serve in some sense to vindicate this way of thinking—staving off the threat of moral skepticism, or even undergirding some version of moral realism? Or if morality has an adaptive explanation in genetic terms—if it is, as Joyce writes, "just something that helped our ancestors make more babies"—might such an explanation actually undermine morality's central role in our lives? He carefully examines both the evolutionary "vindication of morality" and the evolutionary "debunking of morality," considering the skeptical view more seriously than have others who have treated the subject. Interdisciplinary and combining the latest results from the empirical sciences with philosophical discussion, The Evolution of Morality is one of the few books in this area written from the perspective of moral philosophy. Concise and without technical jargon, the arguments are rigorous but accessible to readers from different academic backgrounds. Joyce discusses complex issues in plain language while advocating subtle and sometimes radical views. The Evolution of Morality lays the philosophical foundations for further research into the biological understanding of human morality.

More Precisely: The Math You Need to Do Philosophy - Second Edition

More Precisely: The Math You Need to Do Philosophy - Second Edition PDF Author: Eric Steinhart
Publisher: Broadview Press
ISBN: 155481345X
Category : Philosophy
Languages : en
Pages : 250

Book Description
More Precisely is a rigorous and engaging introduction to the mathematics necessary to do philosophy. Eric Steinhart provides lucid explanations of many basic mathematical concepts and sets out the most commonly used notational conventions. He also demonstrates how mathematics applies to fundamental issues in various branches of philosophy, including metaphysics, philosophy of language, epistemology, and ethics. This second edition adds a substantial section on decision and game theory, as well as a chapter on information theory and the efficient coding of information.