Alexander R. Pruss

Plural quantification, often used to evade Russell paradoxes, will lead back to them, given certain assumptions about propositions. This chapter provides a more generalized version of the path to paradox by showing that any theory that makes possible the construction of an appropriate packaging relation falls prey to a Russell paradox. It gives examples of widely-held metaphysical theories that require such a relation. It shows that the paradoxes that can result from plural quantification are more widely damaging, and harder to tame, than has been recognized. It also displays formal requirements that any metaphysical framework with a packaging relation must meet if it is to have a chance of escaping self-contradiction. The chapter first gives the general paradox-generating setup, and then shows how three families of metaphysical assumptions allow one to instantiate it. It concludes by assessing the aftermath of the arguments presented.

I shall discuss the problem of the definition of lying and the formulation of the duty of truthtelling. I shall argue that the morality of assertion is a special case of the morality of endorsement, and that a criterion of adequacy for an account of lying is that it handles certain cases of dishonest endorsement as well. Standardviews of lying fail to do so. I shall offer an account of the duty of honest endorsement in terms of the intention to avoid falsehood. But, in the end, we may simplyhave reason to go back to the naïve view that lying is saying falsehoods.

“We are always already thrown into concrete factual circumstances, facing possibilities that we need to come to grips with. By choosing some we exclude others, thus making them no longer possible. What we are thrown into is the past and present, and the possibilities loom ahead of us, though we may try to turn our back on them. The future is the home of the possibilities while the present and past define the circumstances in which we make our choices, circumstances we can no longer affect.” Or so we might say, and there is something right about this way of talking. Our basic conception of ourselves as agents is radically temporally asymmetric. And so we adopt asymmetric metaphors for time: we talk of time having a direction, as flowing from the future, through the present, to the past, closing possibilities that once were open; or perhaps we think of time as a measure of our own movement from the past to the future. Such metaphors are of very limited value. To think of time as having a direction spatializes time; to think of time as flowing or of ourselves as moving in time is to invite the question of how fast it is flowing or how fast we are moving (at one second per second, perhaps, one might quip, thereby inviting the question of why it cannot flow at two seconds per second instead).             Although the metaphors are flawed, we need to come to grips with an inextricable asymmetry between past and future in them. As agents, we deliberate about the future, while the past we can only bewail or rejoice over. We know the future not only through theoretical knowledge, but also through the intentional knowledge that the agent has of the effects she intends to produce. We think a life that started in years of sorrow but ended in great joy is preferable to one that started with a great joy and ended in years of sorrow..

Patrick Toner has argued that eternalism, the doctrine that all times are ontologically on par, conflicts with the Catholic view of judgment as based on the state of the soul at death. For, he holds, it is arbitrary that judgment should be based on what happened at some particular time, unless, as presentism holds, that time is the only that really exists. I shall argue that his argument fails because the eternalist can say that judgment is simultaneous with the state of soul that is being judged, and there is nothing arbitrary about judging something at t on the basis of its state at the same time t.

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

I shall discuss the problem of the definition of lying and the formulation of the duty of truthtelling. I shall argue that the morality of assertion is a special case of the morality of endorsement, and that a criterion of adequacy for an account of lying is that it handles certain cases of dishonest endorsement as well. Standardviews of lying fail to do so. I shall offer an account of the duty of honest endorsement in terms of the intention to avoid falsehood. But, in the end, we may simplyhave reason to go back to the naïve view that lying is saying falsehoods.

Our new cosmological argument for the existence of God weakens the usual Principle of Sufficient Reason premise that every contingent true proposition has an explanation to a weaker principle (WPSR) that every such proposition could have an explanation. Almeida and Judisch have criticized the premises of our argument for leading to a contradiction. We show that their argument fails, but along the way we are led to clarify the nature of the conclusion of our argument. Moreover, we discuss an argument against us based on a principle of alternate explanation incompatible with our WPSR, and show that his argument fails.

Consider the regularity thesis that each possible event has non-zero probability. Hájek challenges this in two ways: there can be nonmeasurable events that have no probability at all and on a large enough sample space, some probabilities will have to be zero. But arguments for the existence of nonmeasurable events depend on the axiom of choice. We shall show that the existence of anything like regular probabilities is by itself enough to imply a weak version of AC sufficient to prove the Banach–Tarski Paradox on the decomposition of a ball into two equally sized balls, and hence to show the existence of nonmeasurable events. This provides a powerful argument against unrestricted orthodox Bayesianism that works even without AC. A corollary of our formal result is that if every partial order extends to a total preorder while maintaining strict comparisons, then the Banach–Tarski Paradox holds. This yields an argument that incommensurability cannot be avoided in ambitious versions of decision theory

Suppose that one initiates a causal sequence leading to a basically evil state of affairs, but does not intend the evil effect, and the good effects of the action are proportionate to the bad. A state of affairs is a “basic evil” provided it is evil in virtue of itself and not in virtue of its connection with other states of affairs. The classic form of the Principle of Double Effect (PDE) can be taken to state that then the action that initiated the causal sequence is not wrong on account of the basically evil state of affairs it produces. The action might still be wrong for some other reason, say by violating a promise, or causing some other basically evil state of affairs, or being a..

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

We introduce three arguments for the thesis that time cannot exist prior to an original creation event. In the first argument, we seek to show that if time doesn’t depend upon creation, then time is infinite in the backwards direction, which is incompatible with arguments for a finite past. In the second and third arguments, we allow for the possibility of backwards-infinite time but argue that God could not have a sufficiently good reason to refrain from creating for infinitely many moments—either in a world void of created things or in the actual world prior to creation. Our end goal is to help clarify connections between time and divine action.