The book takes the reader on a vivid, imaginative journey towards unraveling the mysteries of our existence, roles in society, and personal loyalties. The book melds science with philosophy and theology and highlights the people who dedicated their lives in pursuit of the seven riddles of the universe.

Alexander R. Pruss examines a large family of paradoxes to do with infinity - ranging from deterministic supertasks to infinite lotteries and decision theory. Having identified their common structure, Pruss considers at length how these paradoxes can be resolved by embracing causal finitism.

Classical real-valued probabilities come at a philosophical cost: in many infinite situations, they assign the same probability value—namely, zero—to cases that are impossible as well as to cases that are possible. There are three non-classical approaches to probability that can avoid this drawback: full conditional probabilities, qualitative probabilities and hyperreal probabilities. These approaches have been criticized for failing to preserve intuitive symmetries that can be preserved by the classical probability framework, but there has not been a systematic study of the (...) conditions under which these symmetries can and cannot be preserved. This paper fills that gap by giving complete characterizations under which symmetries understood in a certain “strong” way can be preserved by these non-classical probabilities, as well as by offering some results to make it plausible that the strong notion of symmetry here is the right one. Philosophical implications are briefly discussed, but the main purpose of the paper is to offer technical results to help make further philosophical discussion more sophisticated. (shrink)

Some, notably Peter van Inwagen, in order to avoid problems with free will and omniscience, replace the condition that an omniscient being knows all true propositions with a version of the apparently weaker condition that an omniscient being knows all knowable true propositions. I shall show that the apparently weaker condition, when conjoined with uncontroversial claims and the logical closure of an omniscient being's knowledge, still yields the claim that an omniscient being knows all true propositions.

Cantor proved that no set has a bijection between itself and its power set. This is widely taken to have shown that there infinitely many sizes of infinite sets. The argument depends on the princip...

Popper functions allow one to take conditional probabilities as primitive instead of deriving them from unconditional probabilities via the ratio formula P=P/P. A major advantage of this approach is it allows one to condition on events of zero probability. I will show that under plausible symmetry conditions, Popper functions often fail to do what they were supposed to do. For instance, suppose we want to define the Popper function for an isometrically invariant case in two dimensions and hence require the (...) Popper function to be rotationally invariant and defined on pairs of sets from some algebra that contains at least all countable subsets. Then it turns out that the Popper function trivializes for all finite sets: P=1 for all A ) if B is finite. Likewise, Popper functions invariant under all sequence reflections can’t be defined in a way that models a bidirectionally infinite sequence of independent coin tosses. (shrink)

Digital and analog: What do these terms mean today? The use and meaning of such terms change through time. The analog, in particular, seems to go through various phases of popularity and disuse, its appeal pegged most frequently to nostalgic longings for nontechnical or romantic modes of art and culture. The definition of the digital vacillates as well, its precise definition often eclipsed by a kind of fever-pitched industrial bonanza around the latest technologies and the latest commercial ventures. One common (...) response to the question of the digital is to make reference to things like Twitter, Playstation, or computers in general. Here one might be correct, but only coincidentally, for the basic order of digitality (the digitality of digitality) has not yet been demonstrated through mere denotation. And the second question—the question of the analog—is harder still, with responses often also consisting of mere denotations of things: sound waves, the phonograph needle, magnetic tape, a sundial. At least denotation itself is analogical. This article will aim to define the analog explicitly and argue, perhaps counterintuitively, that the golden age of analog thinking was not a few decades past, prior to the wide-spread adoption of the computer. In fact, the fields of structuralism and poststructuralism that emerged in the middle to late twentieth century, concurrent with the deployment of the digital computer, were characteristically digital, what with their focus on the symbolic order and logical economies. If anything, the golden age of analog is happening today, all around us, as evidenced by the proliferation of characteristically analog concerns: sensation, materiality, experience, affect, ethics, and aesthetics. (shrink)

One of the problems that Bayesian regularity, the thesis that all contingent propositions should be given probabilities strictly between zero and one, faces is the possibility of random processes that randomly and uniformly choose a number between zero and one. According to classical probability theory, the probability that such a process picks a particular number in the range is zero, but of course any number in the range can indeed be picked. There is a solution to this particular problem on (...) the books: a measure that assigns the same infinitesimal probability to each number between zero and one. I will show that such a measure, while mathematically interesting, is pathological for use in confirmation theory, for the same reason that a measure that assigns an infinitesimal probability to each possible outcome in a countably infinite lottery is pathological. The pathology is that one can force someone to assign a probability within an infinitesimal of one to an unlikely event. (shrink)

_Laruelle_ is one of the first books in English to undertake in an extended critical survey of the work of the idiosyncratic French thinker François Laruelle, the promulgator of non-standard philosophy. Laruelle, who was born in 1937, has recently gained widespread recognition, and Alexander R. Galloway suggests that readers may benefit from colliding Laruelle’s concept of the One with its binary counterpart, the Zero, to explore more fully the relationship between philosophy and the digital. In _Laruelle_, Galloway argues that (...) the digital is a philosophical concept and not simply a technical one, employing a detailed analysis of Laruelle to build this case while referencing other thinkers in the French and Continental traditions, including Alain Badiou, Gilles Deleuze, Martin Heidegger, and Immanuel Kant. In order to explain clearly Laruelle’s concepts such as the philosophical decision and the principle of sufficient philosophy, Galloway lays a broad foundation with his discussions of “the One” as it has developed in continental philosophy, the standard model of philosophy, and how philosophers view “the digital.” Digital machines dominate today’s world, while so-called digital thinking—that is, binary thinking such as presence and absence or self and world—is often synonymous with what it means to think at all. In examining Laruelle and digitality together, Galloway shows how Laruelle remains a profoundly non-digital thinker—perhaps the only non-digital thinker today—and engages in an extensive discussion on the interconnections between media, philosophy, and technology. (shrink)

Assuming S₅, the main controversial premise in modal ontological arguments is the possibility premise, such as that possibly a maximally great being exists. I shall offer a new way of arguing that the possibility premise is probably true.

The strict dominance principle that a wager always paying better than another is rationally preferable is one of the least controversial principles in decision theory. I shall show that (given the Axiom of Choice) there is a contradiction between strict dominance and plausible isomorphism or symmetry conditions, by showing how in several natural cases one can construct isomorphic wagers one of which strictly dominates the other. In particular, I will show that there is a pair of wagers on the outcomes (...) of a uniform spinner which differ simply in where the zero degrees point of the spinner is defined to be but where one wager dominates the other. I shall also argue that someone who accepts Williamson’s famous argument that the probability of an infinite sequence of heads is zero should accept the symmetry conditions, and thus has reason to weaken the strict dominance principle, and I shall propose a restriction of the principle to “implementable” wagers. Our main result also has implications for social choice principles. (shrink)

This paper argues that if creatures are to have significant free will, then God's essential omni-benevolence and essential omnipotence cannot logically preclude Him from creating a world containing a moral evil. The paper maintains that this traditional conclusion does not need to rest on reliance on subjunctive conditionals of free will. It can be grounded in several independent ways based on premises that many will accept.

The "Supplement" transmitted as the second book of "On the Soul" by Alexander of Aphrodisias is a collection of short texts on a wide range of topics from psychology, including the general hylomorphic account of soul and its faculties, and the theory of vision; questions in ethics ; and issues relating to responsibility, chance and fate. One of the texts in the collection, "On Intellect", had a major influence on medieval Arabic and Western thought, greater than that of (...) class='Hi'>Alexander's "On the Soul" itself. The treatises may all be by Alexander himself; certainly the majority of them are closely connected with his other works. Many of them, however, consist of collections of arguments on particular issues, collections which probably incorporate material from earlier in the history of the Peripatetic school. This translation is from a new edition of the Greek text based on a collation of all known manuscripts and comparison with medieval Arabic and Latin translations. (shrink)

Introduction : the computer as a mode of mediation -- The unworkable interface -- Software and ideology -- Are some things unrepresentable? -- Disingenuous informatics -- Postscript : we are the gold farmers.

The Principle of Sufficient Reason says that all contingent facts must have explanation. In this 2006 volume, which was the first on the topic in the English language in nearly half a century, Alexander Pruss examines the substantive philosophical issues raised by the Principle Reason. Discussing various forms of the PSR and selected historical episodes, from Parmenides, Leibnez, and Hume, Pruss defends the claim that every true contingent proposition must have an explanation against major objections, including Hume's imaginability argument (...) and Peter van Inwagen's argument that the PSR entails modal fatalism. Pruss also provides a number of positive arguments for the PSR, based on considerations as different as the metaphysics of existence, counterfactuals and modality, negative explanations, and the everyday applicability of the PSR. Moreover, Pruss shows how the PSR would advance the discussion in a number of disparate fields, including meta-ethics and the philosophy of mathematics. (shrink)

This chapter contains sections titled: Introduction Two Interrelated Problems Lewis's Solution Inductive Paradox Identity versus Counterpart Theory Platonism: The Main Realist Alternative to Lewis An Aristotelian Alternative Leibniz's Account A Combined Account.

Regularity is the thesis that all contingent propositions should be assigned probabilities strictly between zero and one. I will prove on cardinality grounds that if the domain is large enough, a regular probability assignment is impossible, even if we expand the range of values that probabilities can take, including, for instance, hyperreal values, and significantly weaken the axioms of probability.

We show that infinitesimal probabilities are much too small for modeling the individual outcome of a countably infinite fair lottery.

For two million years, members of Homo sapiens (and the species from which it emerged) have shaped to their purpose almost everything they found in nature. Yet we are still reproducing by sex. This is a poor method of conceiving human beings, because it surrenders many of the future child’s characteristics to luck. Both parents and children are better off the more parents control their children’s genotypes. The emerging technologies that enable this do not reduce free will and will not (...) eliminate human characteristics (such as certain forms of “mental illness”) that are worth preserving; rather, they will match types of children to parents who can appreciate them. Technological reproduction, not reproduction by sex, should be regarded as truly human. It is the application of the power of thought to human reproduction, and, like the application of that power to external objects and to memes, it will enhance our capacities. (shrink)

According to the Russo-Williamson Thesis, causal claims in the health sciences need to be supported by both difference-making and mechanistic evidence. In this article, we attempt to determine whether Evidence-based Medicine can be improved through the consideration of mechanistic evidence. We discuss the practical composition and function of each RWT evidence type and propose that exposure-outcome evidence provides associations that can be explained through a hypothesis of causation, while mechanistic evidence provides finer-grained associations and knowledge of entities that ultimately explains (...) a causal hypothesis. We suggest that mechanistic evidence holds untapped potential to add value to the assessment of evidence quality in EBM and propose initial recommendations for the integration of mechanistic and exposure-outcome evidence to improve EBM by robustly leveraging available evidence in support of good medical decisions. (shrink)

Necessary Existence breaks ground on one of the deepest questions anyone ever asks: why is there anything? Pruss and Rasmussen present an original defence of the hypothesis that there is a necessarily existing being capable of providing an ultimate foundation for the existence of all things.

(2013). Incompatibilism proved. Canadian Journal of Philosophy. ???aop.label???

According to David Lewis's extreme modal realism, every waythat a world could be is a way that some concretely existingphysical world really is. But if the worlds are physicalentities, then there should be a set of all worlds, whereasI show that in fact the collection of all possible worlds is nota set. The latter conclusion remains true even outside of theLewisian framework.

The Adams Thesis holds for a conditional → and a probability assignment P if and only if P=P whenever P>0. The restriction ensures that P is well defined by the classical formula P=P/P. Drawing on deep results of Maharam on measure algebras, it is shown that, notwithstanding well-known triviality results, any probability space can be extended to a probability space with a new conditional satisfying the Adams Thesis and satisfying a number of axioms for conditionals. This puts significant limits on (...) how far triviality results can go. (shrink)

Clinical trials aim to minimise participant risk and generate new clinical knowledge for the wider population. Many military agencies are now investing efforts in pushing towards developing new treatments involving Brain-Computer Interfaces, Gene Therapy and Stem Cells interventions. These trials are targeting smaller disease groups, as such they give rise to novel participant risks of harms that are largely not accommodated by existing practice. This is of most concern with irreversible harms at early trial stages, where participants may forfeit any (...) future therapy, and in personalised medicine, where the individual participant assumes all of the trial risk. Given these new experimental interventions involve high risk of irreversible harms, how much risk should patients be exposed to when participating in experimental testing of innovative technologies? Designing clinical trials which better balance risk/benefit ratios for participants is crucial. The aim of this book chapter is to suggest a new stratified risk framework aimed at minimising the risk-benefit ratio to participants in clinical trials associated with high risk of irrevocable harms. We will argue it demands a higher-level of clinical data capture at earlier trial stages than predicated by current trial doctrine; it also requires publication of all trial data to minimise risk to participants of any future trial. (shrink)

Few studies have examined how trait emotion dysregulation relates to momentary affective experiences and the emotion regulation strategies people use in daily life. In the current study, 112 c...

In this article I respond to a number of powerful criticisms of my book One Body.

It is widely thought that it can be permissible to persuade someone set on a greater evil to commit a lesser evil instead, though the question is not without controversy. I argue that a version of this kind of Principle of Counseling Lesser Evil can be derived from the Principle of Double Effect and some considerations about the way human choices work. As an application, I argue that giving bribes to officials who otherwise would not do their job might be (...) considered a special case of this counseling principle. (shrink)

I offer a reading of my book One Body on Christian sexual ethics as an application of Inference to Best Explanation based on theological and philosophical data.

Let Mm k be the simply connected constant curvature space form of dimension m. • Mm 0 is Rm with euclidean metric • Mm k for k > 0 is an m-sphere of radius k−1/2 • Mm k for k < 0 is m dimensional hyperbolic space modelled on the m-ball of radius (−k)−1/2.

This important philosophical reflection on love and sexuality from a broadly Christian perspective is aimed at philosophers, theologians, and educated Christian readers. Alexander R. Pruss focuses on foundational questions on the nature of romantic love and on controversial questions in sexual ethics on the basis of the fundamental idea that romantic love pursues union of two persons as one body. _One Body_ begins with an account, inspired by St. Thomas Aquinas, of the general nature of love as constituted by (...) components of goodwill, appreciation, and unitiveness. Different forms of love, such as parental, collegial, filial, friendly, fraternal, or romantic, Pruss argues, differ primarily not in terms of goodwill or appreciation but in terms of the kind of union that is sought. Pruss examines romantic love as distinguished from other kinds of love by a focus on a particular kind of union, a deep union as one body achieved through the joint biological striving of the sort involved in reproduction. Taking the account of the union that romantic love seeks as a foundation, the book considers the nature of marriage and applies its account to controversial ethical questions, such as the connection between love, sex, and commitment and the moral issues involving contraception, same-sex activity, and reproductive technology. With philosophical rigor and sophistication, Pruss provides carefully argued answers to controversial questions in Christian sexual ethics. "This is a terrific—really quite extraordinary—work of scholarship. It is quite simply the best work on Christian sexual ethics that I have seen. It will become the text that anyone who ventures into the field will have to grapple with—a kind of touchstone. Moreover, it is filled with arguments with which even secular writers on sexual morality will have to engage and come to terms." —_Robert P. George, Princeton University __ "_One Body_ is an excellent piece of philosophical-theological reflection on the nature of sexuality and marriage. This book has the potential to become a standard go-to text for professors and students working on sex ethics issues, whether in philosophy or theology, both for the richness of its arguments, and the scope of its coverage of cases. " — Christopher Tollefsen, University of South Carolina_ "Alexander Pruss here develops sound and humane answers to the whole range of main questions about human sexual and reproductive choices. His principal argument for the key answers is very different from the one I have articulated over the past fifteen years. But his argumentation is at every point attractively direct, careful, energetic in framing and responding to objections, and admirably attentive to realities and the human goods at stake." —_John Finnis, University of Oxford _. (shrink)

McGrew, McGrew and Vestrup (MMV) have argued that the fine-tuning anthropic principle argument for the existence of God fails because no probabilities can be assigned to the likelihood that physical constants fall in some finite interval. In particular, the fine-tuning argument that, say, some constant must lie in the range (1.000,1.001) in order for intelligent life to be possible is no better than a seemingly absurd coarse-tuning argument based on the need for that constant to lie in the range (0.001, (...) 10000000). The author of this piece defends the coarse tuning argument as a rational piece of reasoning, and, further, argues that the countable additivity assumption in the MMV paper can be dropped in favor of finite additivity. (shrink)

          Kant has claimed that lying is always wrong, even in response to a question from a murderer about the whereabouts of his intended victim. Christine Korsgaard has argued that although Kant’s second and third formulations in terms of respect for the humanity in persons and in terms of the Kingdom of Ends of the Categorical Imperative (CI) commit him to this claim, the first formulation in terms of universalizability does..

P. F. Strawson a critiqué le compte de Leibniz de 1'individuation, en demandant pourquoi il est métaphysiquement impossible pour qu'il y ait des consciences indiscernables mais distincts. L'analogie entre la conscience et la monade est centrale pour Leibniz, et done la critique de Strawson met en question la nécessité métaphysique du principe de l'identité des indiscernables . Par un examen de quelques questions dans le système ontologique de Leibniz, nous défendrons la nécessité métaphysique du PII contre Strawson.

Gödel's ontological argument is a formal argument for a being defined in terms of the concept of a positive property. I shall defend several versions of Gödel's argument, using weaker premises than Anderson's (1990) version, and avoiding Oppy's (1996 and 2000) parody refutations.

This chapter contains sections titled: Introduction The PSR Nonlocal CPs Toward a First Cause The Gap Problem Conclusions and Further Research References.

I defend a simple argument for why considerations of epistemic probability should lead us away from Open Future views according to which claims about the future are never true.

I offer examples showing that, pace G. E. Moore, it is possible to assert ?Q and I don't believe that Q? sincerely, truly, and without any absurdity. The examples also refute the following principles: (a) justification to assert p entails justification to assert that one believes p (Gareth Evans); (b) the sincerity condition on assertion is that one believes what one says (John Searle); and (c) to assert (to someone) something that one believes to be false is to lie (Don (...) Fallis). (shrink)

Could it be that Deleuze's most lasting legacy will lie in his ‘Postscript on Control Societies’, a mere 2,300-word essay from 1990? While he discussed computers and new media infrequently, Deleuze admittedly made contributions to the contemporary discourse on computing, cybernetics and networks, particularly in his late work. From the concepts of the rhizome and the virtual, to his occasional interjections on the digital versus the analogue, there is a case to be made that the late Deleuze has not only (...) influenced today's discourse on new media but also proposes an original set of arguments about society and politics at the turn of the new millennium. Focusing on the ‘Postscript on Control Societies’ and a handful of texts that surround it, we will reconstruct an image of what it means to live in the information age. This will have consequences for how we define the digital and the analogue, what the computer means, and ultimately provide some insight into one of the more elusive terms in all of Deleuze, the superfold. (shrink)

Persons have objective, not socially defined, identity conditions. I shall argue that robots do not, unless they have souls. Hence, robots without souls are not persons. And by parallel reasoning, neither are we persons if we do not have souls.

          The production of a number of vaccines involves the use of cell-lines originally derived from fetuses directly aborted in the 1960s and 1970s. Such cell-lines, indeed sometimes the very same ones, are important to on-going research, including at Catholic institutions. The cells currently used are removed by a number of decades and by a significant number of cellular generations from the original cells. Moreover, the original cells extracted from the bodies (...) of the aborted fetuses were transformed to produce the cell lines, since otherwise they would be incapable of the kind of culturing that is required.           It is generally acknowledged by ethicists, including many Catholic ones generally considered to be orthodox, and by the U.S. bishops, that the use of the cell-lines in connection with the production of vaccines is morally permissible. It does not appear that there is a relevant qualitative difference between the use of the cell-lines in vaccines and in research. One might argue that there is certainty of benefit from a vaccine while the benefits of research are uncertain. However, in any given case of the administration of a vaccine to an individual, it is far from certain that such administration will be of benefit to that individual. After all, the individual might never come in contact with someone infected with the disease in question, particularly if the disease is now uncommon in the individual’s locale. Yet, it is morally certain that some of the administrations of the vaccine will be beneficial. This is parallel to the fact that while any one research project might not be beneficial, the history of biomedical research makes it extremely probable, indeed morally certain, that some project involving the use of such cell-lines will be beneficial. There may, of course, be quantitative difference between the cases—the probabilities and benefits may not be equal—but the difference does not seem to be a qualitative one. Therefore, if one accepts the use of the cell-lines in vaccines, one should accept the use in research in at least some conceivable and perhaps actual circumstances.           The main argument I am interested in in favor of the use of the cell-lines proceeds by first granting that the initial abortion and extraction of cells from the deceased fetus was morally gravely illicit. However, the connection between the currently used derived cells and the abortion and original derivation is sufficiently remote that the use becomes licit. Not all fruit of a poisoned tree is poisoned: it can be morally.... (shrink)