The literature on the theory of social choice has grown considerably beyond the few items in existence at the time the first edition of this book appeared in 1951. Some of the new literature has dealt with the technical, mathematical aspects, more with the interpretive. My own thinking has also evolved somewhat, although I remain far from satisfied with present formulations. The exhaustion of the first edition provides a convenient time for a selective and personal stocktaking in the form of (...) an appended commentary entitled, 'Notes on the Theory of Social Choice, 1963, ' containing reflections on the text and its omissions and on some of the more recent literature. This form has seemed more appropriate than a revision of the original text, which has to some extent acquired a life of its own. (shrink)

We examine a distinctive kind of problem for decision theory, involving what we call discontinuity at infinity. Roughly, it arises when an infinite sequence of choices, each apparently sanctioned by plausible principles, converges to a ‘limit choice’ whose utility is much lower than the limit approached by the utilities of the choices in the sequence. We give examples of this phenomenon, focusing on Arntzenius et al.’s Satan’s apple, and give a general characterization of it. In these examples, repeated dominance reasoning (...) (a paradigm of rationality) apparently gives rise to a situation closely analogous to having intransitive preferences (a paradigm of irrationality). Indeed, the agents in these examples are vulnerable to a money pump set-up despite having preferences that exhibit no obvious defect of rationality. We explore several putative solutions to such problems, particularly those that appeal to binding and to deliberative dynamics. We consider the prospects for these solutions, concluding that if they fail, the examples show that money pump arguments are invalid. (shrink)

We pose and resolve several vexing decision theoretic puzzles. Some are variants of existing puzzles, such as 'Trumped' (Arntzenius and McCarthy 1997), 'Rouble trouble' (Arntzenius and Barrett 1999), 'The airtight Dutch book' (McGee 1999), and 'The two envelopes puzzle' (Broome 1995). Others are new. A unified resolution of the puzzles shows that Dutch book arguments have no force in infinite cases. It thereby provides evidence that reasonable utility functions may be unbounded and that reasonable credence functions need not be countably (...) additive. The resolution also shows that when infinitely many decisions are involved, the difference between making the decisions simultaneously and making them sequentially can be the difference between riches and ruin. Finally, the resolution reveals a new way in which the ability to make binding commitments can save perfectly rational agents from sure losses. (shrink)

This book investigates what it means, and whether it is coherent, to say that there is a God.

A distinguished philosopher and a practicing minister, Marilyn McCord Adams has written a highly original work on a fundamental dilemma of Christian thought -- ...

Imagine that there exists a good, essentially omniscient and omnipotent being named Jove, and that there exists nothing else. No possible being is more powerful or knowledgable. Out of his goodness, Jove decides to create. Since he is all-powerful, there is nothing but the bounds of possibility to prevent him from getting what he wants. Unfortunately, as he holds before his mind the host of worlds, Jove sees that for each there is a better one. Although he can create any (...) of them, he can't create the best of them because there is no best. Faced with this predicament, Jove first sorts the worlds according to certain criteria. For example, he puts on his left worlds in which some inhabitants live lives that aren't worth living and on his right worlds in which every inhabitant's life is worth living; he puts on his left worlds in which some horrors fail to serve an outweighing good and on his right worlds in which no horror fails to serve an outweighing good. (We encourage the reader to use her own criteria.) Then he orders the right hand worlds according to their goodness and assigns to each a positive natural number, the worst of the lot receiving '1', the second worst '2', and so on. Next, he creates a very intricate device that, at the push of a button, will randomly select a number and produce the corresponding world. Jove pushes the button; the device hums and whirs and, finally, its digital display reads '777': world no. 777 comes into being. (shrink)

Michael Slote has defended a moral view that he calls "satisficing consequentialism." Less demanding than maximizing consequentialism, it requires only that agents bring about consequences that are "good enough." I argue that Slote's characterization of satisficing is ambiguous. His idea of consequences' being "good enough" admits of two interpretations, with different implications in (some) particular cases. One interpretation I call "absolute-level" satisficing, the other "comparative" satisficing. Once distinguished, these versions of satisficing appear in a very different light. Absolute-level satisficing is (...) indeed plausible and attractive, at least for subjective-good versions of consequentialism; comparative satisficing is not. (shrink)

Richard Swinburne presents a substantially rewritten and updated edition of his most celebrated book. No other work has made a more powerful case for the probability of the existence of God. Swinburne gives a rigorous and penetrating analysis of the most important arguments for theism: the cosmological argument; arguments from the existence of laws of nature and the 'fine-tuning' of the universe; from the occurrence of consciousness and moral awareness; and from miracles and religious experience. He claims that while none (...) of these arguments are deductively valid, they do give inductive support to theism and that, even when the argument from evil is weighed against them, taken together they offer good grounds to support the probability that there is a God. The overall structure of the discussion and its conclusion have been retained for this new edition, but much has been changed in order to strengthen the argumentation and to take account of Swinburne's subsequent work on the nature of consciousness and the problem of evil, and of the latest philosophical and scientific writing, especially in respect of the laws of nature and the argument from fine-tuning. This is now the definitive version of a classic in the philosophy of religion. (shrink)

Lara Buchak sets out a new account of rational decision-making in the face of risk. She argues that the orthodox view is too narrow, and suggests an alternative, more permissive theory: one that allows individuals to pay attention to the worst-case or best-case scenario, and vindicates the ordinary decision-maker.

This is a reply to William Rowe, "The Problem of No Best World," Faith and Philosophy (1994).

What is it for there to be a God, and what reason is there for supposing him to conform to the claims of Christian doctrine? In this pivotal volume of his tetralogy, Richard Swinburne builds a rigorous metaphysical system for describing the world, and applies this to assessing the worth of the Christian tenets of the Trinity and the Incarnation. Part I is dedicated to analyzing the categories needed to address accounts of the divine nature--substance, cause, time, and necessity. Part (...) II begins by setting out, in terms of these categories, the fundamental doctrine of Western religions--that there is a God. After pointing out some of the different ways in which this doctrine can be developed, Swinburne spells out the simplest possible account of divine nature. He then goes on to clarify the implications of this account for the specifically Christian doctrines of the Trinity (that God is "three persons in one substance") and of the Incarnation (that God became incarnate in Jesus Christ). Swinburne finds that there are good reasons to believe the Christian additions to the core Western idea of God. The Christian God builds upon Swinburne's acclaimed previous work to form a self-contained text which will no doubt become a classic in the philosophy of religion. (shrink)

Three very prominent arguments for atheism are (1) the argument from sub-optimality, (2) the problem of no best world, and (3) the evidential argument from gratuitous evil. To date, it has not sufficiently been appreciated that several important criticisms of these arguments have all relied on a shared strategy. Although the details vary, the core of this strategy is to concede that God either cannot or need not achieve the best outcome in the relevant choice situation, but to insist that (...) God must and can achieve an outcome that is good enough. In short, this strategy invokes divine satisficing in response to these arguments for atheism. (The widespread use of this strategy may have gone unnoticed because the appeal to divine satisficing is usually implicit.) In sections 1–3, the three arguments for atheism will be set out, and it will be shown that the relevant replies all employ this shared strategy. Section 4 will show that those who invoke divine satisficing have failed to establish that this is a coherent notion. Accordingly, these replies to three important arguments for atheism are, at present, incomplete. (shrink)

God, the Best, and Evil is an original treatment of notable problems about God and his actions towards human beings. Three main topics are investigated in detail. First, if God exists, is God in some sense necessarily a value-maximizer? Second, Does a serious difficulty for the existence of God arise from the apparent fact that if God exists then God could have actualized a better possible world than this one? Thirdly are there strong objections top the existence of God based (...) on evil? In the course of tackling the problem of evil, Langtry provides a partial theodicy for evil -- one that is neutral between Theological Compatibilism, Molinism and and Open Theism. (shrink)

Satisficing theories, whether of rationality or morality, do not require agents to maximize the good. They demand only that agents bring about outcomes that are, in one or both of two senses, “good enough.” In the first sense, an outcome is good enough if it is above some absolute threshold of goodness; this yields a view that I will call absolute-level satisficing. In the second sense, an outcome is good enough if it is reasonably close to the best outcome the (...) agent could bring about; this leads to what I will call comparative satisficing. These two views coincide in their implications for a specific sort of case, in which the situation is now fairly far below the absolute-level threshold and an agent can at best bring it to a point somewhat above that threshold. Here both absolute-level and comparative satisficing say he need not bring about his best available outcome, though of course he may; he is required only to improve the situation to the absolute threshold. But in other cases the views diverge. If the situation is now far below the absolute threshold and, no matter what, will remain below it, absolute-level satisficing requires an agent to everything he can to improve the situation; here its implications coincide with those of maximizing. But comparative satisficing is less demanding, requiring him only to make some reasonable percentage of the largest improvement he can. By contrast, if the situation is already above the absolute threshold, absolute-level satisficing does not require an agent to do anything at all to improve it, whereas comparative satisficing, which is now more demanding, still requires him to make some reasonable percentage of his best possible improvement. (shrink)

Reviewed Works:John R. Steel, A. S. Kechris, D. A. Martin, Y. N. Moschovakis, Scales on $\Sigma^1_1$ Sets.Yiannis N. Moschovakis, Scales on Coinductive Sets.Donald A. Martin, John R. Steel, The Extent of Scales in $L$.John R. Steel, Scales in $L$.