In this paper I examine an argument that has been made by Patrick Grim for the claim that de se knowledge is incompatible with the existence of an omniscient being. I claim that the success of the argument depends upon whether it is possible for someone else to know what I know in knowing (F), where (F) is a claim involving de se knowledge. I discuss one reply to this argument, proposed by Edward Wierenga, that appeals to first-person (...) propositions and argue that this response is unsuccessful. I then consider David Lewis’s theory of de se attitudes involving the self-ascription of properties. I claim that, according to this theory, there are two senses in which someone else can know what I know in knowing (F). I then argue that the second sense allows for the compatibility of de se knowledge with the existence of an omniscient being. (shrink)

In this paper I present two new arguments against the possibility of an omniscient being. My new arguments invoke considerations of cardinality and resemble several arguments originally presented by Patrick Grim. Like Grim, I give reasons to believe that there must be more objects in the universe than there are beliefs. However, my arguments will rely on certain mereological claims, namely that Classical Extensional Mereology is necessarily true of the part-whole relation. My first argument is an instance of (...) a problem first noted by Gideon Rosen and requires an additional assumption about the mereological structure of certain beliefs. That assumption is that an omniscient being’s beliefs are mereological simples. However, this assumption is dropped when I present my second argument. Thus, I hope to show that if Classical Extensional Mereology is true of the part-whole relation, there cannot be an omniscient being. (shrink)

The article analyzes and criticizes the assumptions of Peter Van Inwagen’s argument for the alleged contradiction of the foreknowledge of God and human freedom. The argument is based on the sine qua non condition of human freedom defined as access to possible worlds containing such a continuation of the present in which the agent implements a different action than will be realized de facto in the future. The condition also contains that in every possible continuation of the present state of (...) affairs, the same propositions about the ‘present past’ (the past before the present moment) are true as are true in the present state of affairs. The paper argues that Van Inwagen’s reasoning is inconclusive, it contains the type of mistake of confusing conditional impossibility with unconditional and presents a methodologically wrong method of solving a philosophical problem. It is because in the very construction of the problem determining the available solution. The article points to the possibility that the human freedom of some action is not excluded by the fact that specific past facts logically entail that this event will occur. (shrink)

An exchange between Patrick Grim and Alvin Plantinga regarding Cantorian arguments against the possibility of an omniscient being.

The epistemicist theory aims to explain ignorance due to vagueness by semantic plasticity: the shiftiness of intensions across close possible worlds resulting from shiftiness in usage. This explanation is challenged by the Omniscient Speaker Puzzle (Sennet in Philos Stud 161(2):273–285, 2012). Suppose that an omniscient speaker, Barney, who knows all the facts about usage and how these facts determine the intensions of expressions, cooks up a scheme to stabilise the intension of a normally semantically plastic term like ‘rich’. (...) It seems that ‘rich’ would display all the phenomena associated with vagueness without being semantically plastic, thus making the epistemicist explanation of ignorance due to vagueness insufficient. In this paper, I present a few choice points for epistemicism that arise as a result of the puzzle. (shrink)

It would be good to have a Bayesian decision theory that assesses our decisions and thinking according to everyday standards of rationality — standards that do not require logical omniscience (Garber 1983, Hacking 1967). To that end we develop a “fragmented” decision theory in which a single state of mind is represented by a family of credence functions, each associated with a distinct choice condition (Lewis 1982, Stalnaker 1984). The theory imposes a local coherence assumption guaranteeing that as an agent's (...) attention shifts, successive batches of "obvious" logical information become available to her. A rule of expected utility maximization can then be applied to the decision of what to attend to next during a train of thought. On the resulting theory, rationality requires ordinary agents to be logically competent and to often engage in trains of thought that increase the unification of their states of mind. But rationality does not require ordinary agents to be logically omniscient. (shrink)

In this paper, I investigate whether we can use a world-involving framework to model the epistemic states of non-ideal agents. The standard possible-world framework falters in this respect because of a commitment to logical omniscience. A familiar attempt to overcome this problem centers around the use of impossible worlds where the truths of logic can be false. As we shall see, if we admit impossible worlds where “anything goes” in modal space, it is easy to model extremely non-ideal agents that (...) are incapable of performing even the most elementary logical deductions. A much harder, and considerably less investigated challenge is to ensure that the resulting modal space can also be used to model moderately ideal agents that are not logically omniscient but nevertheless logically competent. Intuitively, while such agents may fail to rule out subtly impossible worlds that verify complex logical falsehoods, they are nevertheless able to rule out blatantly impossible worlds that verify obvious logical falsehoods. To model moderately ideal agents, I argue, the job is to construct a modal space that contains only possible and non-trivially impossible worlds where it is not the case that “anything goes”. But I prove that it is impossible to develop an impossible-world framework that can do this job and that satisfies certain standard conditions. Effectively, I show that attempts to model moderately ideal agents in a world-involving framework collapse to modeling either logical omniscient agents, or extremely non-ideal agents. (shrink)

Let us sum up. The paradox of the Knower poses a direct and formal challenge to the coherence of common notions of knowledge and truth. We've considered a number of ways one might try to meet that challenge: propositional views of truth and knowledge, redundancy or operator views, and appeal to hierarchy of various sorts. Mere appeal to propositions or operators, however, seems to be inadequate to the task of the Knower, at least if unsupplemented by an auxiliary recourse to (...) hierarchy. But the cost of hierarchy appears to be an abandonment of any notion of all truth or of omniscience. What the contradictions of the Knower seem to demand, then, is at least an abandonment of these. As noted in the introduction, the argument is complicated enough that one must be wary of dogmatic and precipitate conclusions. One may legitimately wonder whether some new response, or some variation on an old one, will yet offer a way out.Far too often, however, it is asked what has gone wrong with paradox rather than what paradox may have to teach us. What the Knower may have to teach us, I think, is that there really can be no coherent notion of all truth and really can be no coherent notion of omniscience. In its own way that conclusion is perhaps as humbling as is any traditional notion of God. (shrink)

Arguments against our free will pose a serious problem. Although there are not very many philosophers who call themselves fatalists, quite a few are convinced that fatalism follows from common assumptions. Assuming that most believe themselves to be free, identifying ways to avoid the conclusion of such fatalist arguments is quite an important task. I begin by dealing specifically with theological fatalism. I present many versions of theological fatalism, but come to the conclusion that only one version constitutes a genuine (...) problem. That version, I argue, is reducible to a deeper fatalist dilemma that follows from assumptions so common that it must be faced by even the atheist: the mutually incompatibility of human freedom, the principle of alternate possibilities and bi-valance. After considering other objections to my argument, I conclude that the only way to avoid the fatalist conclusion is to either deny the principle of alternate possibilities or deny bi-valance. I argue that, although each option is somewhat problematic, denying bivalence is the more defensible of the two options. (shrink)

A simple argument against Lewisian modal realism as portrayed in On the Plurality of World arises from its treatment of doxastic modalities. It is easily shown that if it is true, it is impossible to doubt the theory on ontological grounds, or, that, if it is possible to maintain doubt about modal realism’s existential postulate, it has to be false. The argument hinges on the fact that modal realism’s main ontological hypothesis, if true, is necessarily true.

At least since Aristotle’s famous 'sea-battle' passages in On Interpretation 9, some substantial minority of philosophers has been attracted to the doctrine of the open future--the doctrine that future contingent statements are not true. But, prima facie, such views seem inconsistent with the following intuition: if something has happened, then (looking back) it was the case that it would happen. How can it be that, looking forwards, it isn’t true that there will be a sea battle, while also being (...) true that, looking backwards, it was the case that there would be a sea battle? This tension forms, in large part, what might be called the problem of future contingents. A dominant trend in temporal logic and semantic theorizing about future contingents seeks to validate both intuitions. Theorists in this tradition--including some interpretations of Aristotle, but paradigmatically, Thomason (1970), as well as more recent developments in Belnap, et. al (2001) and MacFarlane (2003, 2014)--have argued that the apparent tension between the intuitions is in fact merely apparent. In short, such theorists seek to maintain both of the following two theses: (i) the open future: Future contingents are not true, and (ii) retro-closure: From the fact that something is true, it follows that it was the case that it would be true. It is well-known that reflection on the problem of future contingents has in many ways been inspired by importantly parallel issues regarding divine foreknowledge and indeterminism. In this paper, we take up this perspective, and ask what accepting both the open future and retro-closure predicts about omniscience. When we theorize about a perfect knower, we are theorizing about what an ideal agent ought to believe. Our contention is that there isn’t an acceptable view of ideally rational belief given the assumptions of the open future and retro-closure, and thus this casts doubt on the conjunction of those assumptions. (shrink)

Alexander Rosenberg (1994) claims that the omniscient viewpoint of the evolutionary process would have no need for the concept of random drift. However, his argument fails to take into account all of the processes which are considered to be instances of random drift. A consideration of these processes shows that random drift is not eliminable even given a position of omniscience. Furthermore, Rosenberg must take these processes into account in order to support his claims that evolution is deterministic and (...) that evolutionary biology is an instrumental science. (shrink)

The traditional possible-worlds model of belief describes agents as ‘logically omniscient’ in the sense that they believe all logical consequences of what they believe, including all logical truths. This is widely considered a problem if we want to reason about the epistemic lives of non-ideal agents who—much like ordinary human beings—are logically competent, but not logically omniscient. A popular strategy for avoiding logical omniscience centers around the use of impossible worlds: worlds that, in one way or another, violate (...) the laws of logic. In this paper, we argue that existing impossible-worlds models of belief fail to describe agents who are both logically non-omniscient and logically competent. To model such agents, we argue, we need to ‘dynamize’ the impossible-worlds framework in a way that allows us to capture not only what agents believe, but also what they are able to infer from what they believe. In light of this diagnosis, we go on to develop the formal details of a dynamic impossible-worlds framework, and show that it successfully models agents who are both logically non-omniscient and logically competent. (shrink)

Introspection is the capacity by which we know our own conscious mental states. Several theories aim to explain it. According to acquaintance theory, we know our experiences by being acquainted with them. Acquaintance is non-causal, non-inferential, and non-observational. I present a dilemma for the acquaintance theory of introspection. Either subjects are always acquainted with all their experiences; or some attentional mechanism selects the relevant experiences (or aspects of experiences) for introspection. The first option is implausible: it implies that subjects (...) are omniscient about their own experiences. The second option is also implausible: if acquaintance is a non-causal relation, introspection cannot target specific (aspects of) experiences without violating the principle of causal closure of the physical. (shrink)

An attempt to defend Davidson's omniscient interpreter argument against various attempts to show that it does not succeed in showing that most of our beliefs must be true. It doesn't argue that this is a good answer to skepticism.

We propose a solution to the problem of logical omniscience in what we take to be its fundamental version: as concerning arbitrary agents and the knowledge attitude per se. Our logic of knowledge is a spin-off from a general theory of thick content, whereby the content of a sentence has two components: an intension, taking care of truth conditions; and a topic, taking care of subject matter. We present a list of plausible logical validities and invalidities for the logic of (...) knowledge per se for arbitrary agents, and isolate three explanatory factors for them: the topic-sensitivity of content; the fragmentation of knowledge states; the defeasibility of knowledge acquisition. We then present a novel dynamic epistemic logic that yields precisely the desired validities and invalidities, for which we provide expressivity and completeness results. We contrast this with related systems and address possible objections. (shrink)

Epistemic logics based on the possible worlds semantics suffer from the problem of logical omniscience, whereby agents are described as knowing all logical consequences of what they know, including all tautologies. This problem is doubly challenging: on the one hand, agents should be treated as logically non-omniscient, and on the other hand, as moderately logically competent. Many responses to logical omniscience fail to meet this double challenge because the concepts of knowledge and reasoning are not properly separated. In this (...) paper, I present a dynamic logic of knowledge that models an agent’s epistemic state as it evolves over the course of reasoning. I show that the logic does not sacrifice logical competence on the altar of logical non- omniscience. (shrink)

This paper looks at three ways of addressing probabilism’s implausible requirement of logical omniscience. The first and most common strategy says it’s okay to require an ideally rational person to be logically omniscient. I argue that this view is indefensible on any interpretation of ‘ideally rational’. The second strategy says probabilism should be formulated not in terms of logically possible worlds but in terms of doxastically possible worlds, ways you think the world might be. I argue that, on the (...) interpretation of this approach that lifts the requirement of certainty in all logical truths, the view becomes vacuous, issuing no requirements on rational believers at all. Finally, I develop and endorse a new solution to the problem. This view proposes dynamic norms for reasoning with credences. The solution is based on an old proposal of Ian Hacking’s that says you’re required to be sensitive to logical facts only when you know they are logical facts. (shrink)

Famously, the Church–Fitch paradox of knowability is a deductive argument from the thesis that all truths are knowable to the conclusion that all truths are known. In this argument, knowability is analyzed in terms of having the possibility to know. Several philosophers have objected to this analysis, because it turns knowability into a nonfactive notion. In addition, they claim that, if the knowability thesis is reformulated with the help of factive concepts of knowability, then omniscience can be avoided. In this (...) article we will look closer at two proposals along these lines :557–568, 1985; Fuhrmann in Synthese 191:1627–1648, 2014a), because there are formal models available for each. It will be argued that, even though the problem of omniscience can be averted, the problem of possible or potential omniscience cannot: there is an accessible state at which all truths are known. Furthermore, it will be argued that possible or potential omniscience is a price that is too high to pay. Others who have proposed to solve the paradox with the help of a factive concept of knowability should take note :53–73, 2010; Spencer in Mind 126:466–497, 2017). (shrink)

This paper argues that, with certain provisos, predicting one's future actions is incompatible with rationally deliberating about whether to perform those actions. It follows that fully rational omniscient agents are impossible, since an omniscient being could never rationally deliberate about what to do . Consequently, theories that explain practical reasons in terms of the choices of a perfectly rational omniscient agent must fail. The paper considers several ways of defending the possibility of an omniscient agent, (...) and concludes that while some of these may work, they are inconsistent with the aim of explaining practical normativity by appeal to such an agent. (shrink)

John Abbruzzese has recently attempted a defense of omniscience against a series of my attacks. This affords me a welcome occasion to clarify some of the arguments, to pursue some neglected subtleties, and to re-think some important complications. In the end, however, I must insist that at least three of four crucial arguments really do show an omniscient being to be impossible. Abbruzzese sometimes misunderstands the forms of the argument themselves, and quite generally misunderstands their force.

Is God a timeless God? One standard argument against the supposition that He is is that it appears to be incompatible with God’s posited omniscience. If God is timeless, He cannot know truths involving temporal indexicals, such as the one I express right now by ”I am sitting now”. In this article, I discuss this argument and consider some replies to it. I focus on the denial of the view according to which knowledge expressed with temporally indexical true statements is (...) relevantly different from knowledge expressed with corresponding statements without indexicals. (shrink)

The philosophy of mind is traditionally concerned with the study of mental processes, language, the representation of knowledge and the relation of the mind shares with the body; computational complexity theory is related to the classification of computationally solvable problems (be it via execution time, storage requirements, etc...). While there are well-established links between computer science in general & the philosophy of mind, many possible solutions to traditional problems in the philosophy of mind have not yet been analyzed from the (...) more specific lens of computational complexity theory. In his paper "Why Philosophers Should Care about Computational Complexity", Scott Aaronson argues that many conventional theories of epistemology & mind implicitly make the presupposition of omniscience (by supposing that knowing base facts means a knower necessarily understands derivative facts) - he proposes that computational complexity theory could explain why this is not the case. In this paper, I argue for a theory of mental representation & epistemology compatible with Aaronson's observations on complexity theory, overcoming that presupposition of omniscience. (shrink)

This work in metaphysics adheres to the critical demands of Immanuel Kant for what Kant would call a science of metaphysics, in that it consits strictly of a priori principles that, while from pure reason, can help make sense of our phenomenal world (Kant's criterion for objective validity). The work has an Appendix quoting Kant's most relevant remarks with regard to a science, and offers parallel quotes from David Hume's "Treatise of Human Nature". The work advances the explanation of a (...) causal process that accounts for the origination of the universals: space, time, mass (or substance), and mind (or consciousness), and it necessitates the existence of God as Absolute Being and Absolute Mind. Hegel's 'Science of Logic' is quoted wherein Hegel makes an analogous claim. The causal process is defined with both a definite beginning and a definite end and agreement can be found with the statement found in the book of Revelation, final chapter: "I am the Alpha and the Omega, the first and the last, the beginning and the end." The statement suggests a movement that is not in conflict with the science, and seems to reflect Hegel's own thoughts. The science does not conflict with, but it further finds agreement with the science of big bang cosmology, but it goes further in necessitating a 'singularity' at the beginning of time. The causal process defined has a Formative Phase and a Creative Phase, with the former preceding the big bang and the latter following after the big bang. (shrink)

Aptamimamsa by Ācārya Samantabhadra (2nd century CE) starts with a discussion, in a philosophical-cum-logical manner, on the Jaina concept of omniscience and the attributes of the Omniscient. The Ācārya questions the validity of the attributes that are traditionally associated with a praiseworthy deity and goes on to establish the logic of accepting the Omniscient as the most trustworthy and praiseworthy Supreme Being. Employing the doctrine of conditional predications (syādvāda) – the logical expression of reality in light of (...) the foundational principle of non-absolutism (anekāntavāda) – he faults certain conceptions based on absolutism. He finally elucidates correct perspectives on issues including fate and human-effort, and bondage of meritorious (punya) or demeritorious (pāpa) karmas. (shrink)

This is a system of pure speculative reason in answer to the challenge issued by Immanuel Kant, in his "Critique of Pure Reason," with regard to metaphysics; the challenge being clearly mentioned in the Appendix to his "Prolegomena..." wherein he asks his Reviewer to take any one of his four sets of contradictory propositions, and offer an a priori judgment/proposition of his own that would overturn the antinomy, and thus, allow room for the possibility of raising metaphysics to the (...) level of a science, meaning a synthesis of judgments, from pure reason, self-evidently a priori, therefore, necessary; and that as a synthesis of pure understanding, would relate to and help us make sense of reality, that is, the world of our experience. (shrink)

Attributions of omnipresence, most familiar within the philosophy of religion, typically take the omnipresence of an entity to either consist in that entity's occupation of certain regions or be dependent upon other of that entity's attributes, such as omnipotence or omniscience. This paper defends an alternative conception of omnipresence that is independent of other purported divine attributes and dispenses with occupation. The resulting view repurposes the metaphysics of necessitism and permanentism, taking omnipresent entities to be those entities that exist at (...) all regions. This view is then shown to best accommodate attributions of omnipresence to a diverse range of metaphysical posits, like abstract entities, and a more diverse class of religious posits. (shrink)

I sympathetically explore the thesis that God literally forgets sins. I articulate some altruistic God might have for forgetting certain sins. If so, then God may have altruistic reasons to relinquish a great-making trait (omniscience). But according to traditional Anselmian perfect being theology, God is necessarily perfect and so incapable of acting on these altruistic reasons. More broadly, a God who necessarily has all the perfections is a God who is incapable of making a certain kind of sacrifice: God (...) can never make tradeoffs that diminish God’s overall greatness, even when those diminishments are relatively small (like forgetting a particular proposition) and the (altruistic) rewards of making the tradeoff substantial. I argue that God’s inability to make such tradeoffs is not a trivial cost for traditional perfect-being theologians who also believe that God is in loving relationships with creatures. Along the way, I explore the prospects for a less traditional form of perfect being theology, perfect being kenoticism, and different models for divine forgetting. (shrink)

What is the best question to ask an omniscient being? The question is intriguing; is it also paradoxical? We discuss several versions of what Ned Markosian calls the paradox of the question and suggest solutions to each of those puzzles. We then offer some practical advice about what do if you ever have the opportunity to query an omniscient being.

According to certain normative theories in epistemology, rationality requires us to be logically omniscient. Yet this prescription clashes with our ordinary judgments of rationality. How should we resolve this tension? In this paper, I focus particularly on the logical omniscience requirement in Bayesian epistemology. Building on a key insight by Hacking :311–325, 1967), I develop a version of Bayesianism that permits logical ignorance. This includes: an account of the synchronic norms that govern a logically ignorant individual at any given (...) time; an account of how we reduce our logical ignorance by learning logical facts and how we should update our credences in response to such evidence; and an account of when logical ignorance is irrational and when it isn’t. At the end, I explain why the requirement of logical omniscience remains true of ideal agents with no computational, processing, or storage limitations. (shrink)

The version uploaded to this site is a late draft. The paper arises both from William L. Rowe's classic 1979 discussion of the problem of evil, argues that there exist instances of intense suffering which an omnipotent, omniscient being could have prevented without thereby losing some greater good or permitting some evil equally bad or worse, and also from Steven Wykstra's response, in the course of which he argues for the following Condition of Reasonable Epistemic Access (CORNEA): "On (...) the basis of cognized situation s, human H is entitled to claim 'It appears that p' only if it is reasonable for H to believe that, given her cognitive faculties and the use she has made of them, if p were not the case, s would likely be different in some way discernible by her." My paper discusses CORNEA, and proposes a replacement principle. (shrink)

Great religions to pragmatic capacities sporadically abound in the stories of supernatural phenomena which subsumes telepathy, clairvoyance and precognition. However, unfortunately treated as the topics of spiritualism, witchcraft and edification, not the materials of Scientific Enquiry. Whatsoever, have been deciphered about these queer speculations, the most prevalent sole concept is : namely, that there can be senseexperiences from the realm which is not accessible to human brain and sense organs. Possessor of these senses which are not currently accessible to average (...) humans can be a omniscient being tapping to his full potential. Presently, we have no language or any communication system to describe them intelligibly. When inquiring about these affairs we cannot avoid absurdity as presently we lack any linguistic convention on it. Our linguistic convention is derived from the physical world in which the supernatural is not considered as "Normal". It is considerably strained with "Abnormality" in the first place. My aim in this paper is to reconcile this Orthodox Psychology with Science and Philosophy which certainly appears conflicting. This inquiry leads me to enable the 10 percent brain myth. (shrink)

The topic of divine omniscience is well-trodden ground, with philosophers and theologians having asked virtually every question there is to ask about it. The questions regarding God's omniscience to be addressed here are as follows. First, is omniscience best understood as maximal propositional knowledge along with maximal experiential knowledge? I argue that it is. Second, is it possible for God to be essentially omniscient? I argue that it is not.

: In this paper I attempt to defuse a set of epistemic worries commonly raised against ideal observer theories. The worries arise because of the omniscience often attributed to ideal observers – how can we, as finite humans, ever have access to the moral judgements or reactions of omniscient beings? I argue that many of the same concerns arise with respect to other moral theories (and that these concerns do not in fact reveal genuine flaws in any of these (...) theories), and further, that we can and often do have knowledge of the reactions of ideal observers (according to standard, prominent theories in the domain of epistemology). (shrink)

Church and Fitch have argued that from the verificationationist thesis “for every proposition, if this proposition is true, then it is possible to know it” we can derive that for every truth there is someone who knows that truth. Moreover, Humberstone has shown that from the latter proposition we can derive that someone knows every truth, hence that there is an omniscient being. In his article “Omnificence”, John Bigelow adapted these arguments in order to argue that from the (...) assumption "every contingent proposition is such that if it is true something brought it about that it is true" we can derive that there is an omnificent being: a being that brings it about that every true contingent proposition is true. In my reply to his article, I show that Bigelow’s argument is flawed because there is some formal property that the knowledge operator has but that the bringing about operator lacks. This is the property of distributing over conjunctions. I explain why what brings it about that some conjunctive proposition is true need not bring it about that its conjuncts are true. (shrink)

I offer a new, limited solution to divine hiddenness based on a particular epistemic paradox: sometimes, knowing about a desired outcome or relevant features of that desired outcome would prevent the outcome in question from occurring. I call these cases epistemically self-defeating situations. This solution, in essence, says that divine hiddenness or silence is a necessary feature of at least some morally excellent or desirable states of affairs. Given the nature of the paradox, an omniscient being cannot completely (...) eliminate hiddenness, just as an omnipotent being cannot create a rock so heavy that they cannot lift it. Epistemically self-defeating situations provide an undercutting defeater for the assumption that any nonresistant nonbeliever could always, at any time, be in conscious relationship with a perfectly loving God. Thankfully, silence is a temporary feature of epistemically self-defeating situations: once the outcome is achieved, agents can know in full. (shrink)

Epistemic consequentialism is the view that epistemic goodness is more fundamental than epistemic rightness. This paper examines the relationship between epistemic consequentialism and theistic belief. I argue that, in an epistemic consequentialist framework, there is an epistemic reason to believe in God. Imagine having an unlimited amount of time to ask an omniscient being anything you wanted. The potential epistemic benefits would be enormous. Considerations like these point to an epistemic version of Pascal’s wager. I compare and contrast (...) the epistemic wager with the traditional wager, and argue that the epistemic wager has several notable advantages. (shrink)

According to traditional Western theism, God is maximally great (or perfect). More explicitly, God is said to have the following divine attributes: omnipotence, omniscience, and omnibenevolence. In this paper, I present three puzzles about this conception of a maximally great (or perfect) being. The first puzzle about omniscience shows that this divine attribute is incoherent. The second puzzle about omnibenevolence and omnipotence shows that these divine attributes are logically incompatible. The third puzzle about perfect rationality and omnipotence shows that (...) these divine attributes are logically incompatible. (shrink)

Orthodox Bayesianism is a highly idealized theory of how we ought to live our epistemic lives. One of the most widely discussed idealizations is that of logical omniscience: the assumption that an agent’s degrees of belief must be probabilistically coherent to be rational. It is widely agreed that this assumption is problematic if we want to reason about bounded rationality, logical learning, or other aspects of non-ideal epistemic agency. Yet, we still lack a satisfying way to avoid logical omniscience within (...) a Bayesian framework. Some proposals merely replace logical omniscience with a different logical idealization; others sacrifice all traits of logical competence on the altar of logical non-omniscience. We think a better strategy is available: by enriching the Bayesian framework with tools that allow us to capture what agents can and cannot infer given their limited cognitive resources, we can avoid logical omniscience while retaining the idea that rational degrees of belief are in an important way constrained by the laws of probability. In this paper, we offer a formal implementation of this strategy, show how the resulting framework solves the problem of logical omniscience, and compare it to orthodox Bayesianism as we know it. (shrink)

Many theories of rational belief give a special place to logic. They say that an ideally rational agent would never be uncertain about logical facts. In short: they say that ideal rationality requires "logical omniscience." Here I argue against the view that ideal rationality requires logical omniscience on the grounds that the requirement of logical omniscience can come into conflict with the requirement to proportion one’s beliefs to the evidence. I proceed in two steps. First, I rehearse an influential line (...) of argument from the "higher-order evidence" debate, which purports to show that it would be dogmatic, even for a cognitively infallible agent, to refuse to revise her beliefs about logical matters in response to evidence indicating that those beliefs are irrational. Second, I defend this "anti-dogmatism" argument against two responses put forth by Declan Smithies and David Christensen. Against Smithies’ response, I argue that it leads to irrational self-ascriptions of epistemic luck, and that it obscures the distinction between propositional and doxastic justification. Against Christensen’s response, I argue that it clashes with one of two attractive deontic principles, and that it is extensionally inadequate. Taken together, these criticisms will suggest that the connection between logic and rationality cannot be what it is standardly taken to be—ideal rationality does not require logical omniscience. (shrink)

Several passages in documents that have authority for religious believers, such as the Bible, suggest that God sometimes repents. Few philosophers and theologians, however, have embraced the thought that God repents. The primary reason for rejecting this idea seems to be that repenting conflicts with being perfectly good and being omniscient, properties that are characteristically ascribed to God. I suggest that the issue can well be approached in terms of a paradox: it seems simultaneously (i) that God (...) repents (this is what the Bible suggest), (ii) that God is omnibenevolent, and (iii) that he is omniscient. I show that these three theses, on a traditional understanding of the divine attributes of omnibenevolence and omniscience, lead to a contradiction. I critically discuss two attempts to dissolve this paradox: open theism and Geachianism. Next, I propose a different approach: even though God has full knowledge of the future free actions of his creatures, he does not have full knowledge of all his own future free actions. I show how on this alternative line of thought, God can simultaneously be said to be omniscient, perfectly good, and a God who sometimes repents. Finally, I defend this account of divine repentance against several objections and show what some of the implications are. (shrink)

Choices confront us with questions. How we act depends on our answers to those questions. So the way our beliefs guide our choices is not just a function of their informational content, but also depends systematically on the questions those beliefs address. This paper gives a precise account of the interplay between choices, questions and beliefs, and harnesses this account to obtain a principled approach to the problem of deduction. The result is a novel theory of belief-guided action that explains (...) and predicts the decisions of agents who, like ourselves, fail to be logically omniscient: that is, of agents whose beliefs may not be deductively closed, or even consistent. (Winner of the 2021 Isaac Levi Prize.). (shrink)

All reasoners described in the most widespread models of a rational reasoner exhibit logical omniscience, which is impossible for finite reasoners (real reasoners). The most common strategy for dealing with the problem of logical omniscience is to interpret the models using a notion of beliefs different from explicit beliefs. For example, the models could be interpreted as describing the beliefs that the reasoner would hold if the reasoner were able reason indefinitely (stable beliefs). Then the models would describe maximum rationality, (...) which a finite reasoner can only approach in the limit of a reasoning sequence. This strategy has important consequences for epistemology. If a finite reasoner can only approach maximum rationality in the limit of a reasoning sequence, then the efficiency of reasoning is epistemically (and not only pragmatically) relevant. In this paper, I present an argument to this conclusion and discuss its consequences, as, for example, the vindication of the principle 'no rationality through brute-force'. (shrink)

An organizing theme of the dissertation is the issue of how to make philosophical theories useful for scientific purposes. An argument for the contention is presented that it doesn’t suffice merely to theoretically motivate one’s theories, and make them compatible with existing data, but that philosophers having this aim should ideally contribute to identifying unique and hard to vary predictions of their theories. This methodological recommendation is applied to the ranking-theoretic approach to conditionals, which emphasizes the epistemic relevance and the (...) expression of reason relations as part of the semantics of the natural language conditional. As a first step, this approach is theoretically motivated in a comparative discussion of other alternatives in psychology of reasoning, like the suppositional theory of conditionals, and novel approaches to the problems of compositionality and accounting for the objective purport of indicative conditionals are presented. In a second step, a formal model is formulated, which allows us to derive quantitative predictions from the ranking-theoretic approach, and it is investigated which novel avenues of empirical research that this model opens up for. Finally, a treatment is given of the problem of logical omniscience as it concerns the issue of whether ranking theory (and other similar approaches) makes too idealized assumptions about rationality to allow for interesting applications in psychology of reasoning. Building on the work of Robert Brandom, a novel solution to this problem is presented, which both opens up for new perspectives in psychology of reasoning and appears to be capable of satisfying a range of constraints on bridge principles between logic and norms of reasoning, which would otherwise stand in a tension. (shrink)

Some philosophers advance the claim that the phenomena of logical omniscience and of the indiscernibility of metaphysical statements, which arise in (certain) interpretations of normal modal logic, provide strong reasons in favour of impossible world approaches. These two specific lines of argument will be presented and discussed in this paper. Contrary to the recent much-held view that the characteristics of these two phenomena provide us with strong reasons to adopt impossible world approaches, the view defended here is that no such (...) ‘knock-down arguments’ do emanate on those grounds. This is not to rule out that there cannot be any other good reasons for assuming impossible world semantics. However, the discussion of a further argument for impossible worlds will suggest that different attempts to argue for them likely present intertwined problems. (shrink)

Nāgārjuna’s Middle Way (Madhyamaka) doctrine met with the objection that it is a mere verbal attack (vitaṇḍā) against other philosophical positions. As one of the Madhyamaka critics pointed out: because Nāgārjuna does not hold own position, he is not able to justify his criticism of the essence (svabhāva). The article is an answer to the question whether, in the context of Indian philosophy, it is possible to know things devoid of essences. Theory of knowledge of this kind, i.e. the concept (...) of omniscience (sarvajña) was presented in Aṣṭasāhasrikāprajñāpāramitā sutra. Associations between Nāgārjuna’s texts and the sutra suggest that omniscience could be a substrate for epistemological position of the Middle Way. (shrink)

Epistemologists have recently proposed a number of norms governing rational inquiry. My aim in this paper is to unify and explain recently proposed norms of inquiry by developing a general account of the conditions under which inquiries are rational, analogous to theories such as evidentialism and reliabilism for rational belief. I begin with a reason-responsiveness conception of rationality as responding correctly to possessed normative reasons. I extend this account with a series of claims about the normative reasons for inquiry that (...) we possess. I apply the account to shed light on two classes of norms that have featured prominently in recent discussions: norms of clutter avoidance forbidding agents from engaging in trivial inquiries, and norms of logical non-omniscience governing properties such as the deductive closure and consistency of an agent's belief state. I conclude with a discussion of the sense in which norms of inquiry should be regarded as epistemic norms. (shrink)

Is Divine Knowledge Incompatible with Human Freedom? An Analysis of Some Arguments The problem that divine omniscience or divine foreknowledge makes free will impossible belongs to notoriously difficult to solve. In XX century one of the most important interpretation of this difficulty was provided by Nelson Pike. If God believes infallibly and in advance how Smith will act, this fact about the past excludes out all alternatives for Smith. But libertarian account of free will requires alternatives possibilities, so, it could (...) be argue that God’s foreknowledge is incompatible with our free will. This paper carefully criticizes Pike’s argumentation and suggests that because God’s foreknowledge doesn’t eliminate future alternatives through causal means, it is compatible with free will and that Pike’s argument and two briefly analyzed standard arguments for fatalism presented by Zagzebski failed. (shrink)

One response to the problem of logical omniscience in standard possible worlds models of belief is to extend the space of worlds so as to include impossible worlds. It is natural to think that essentially the same strategy can be applied to probabilistic models of partial belief, for which parallel problems also arise. In this paper, I note a difficulty with the inclusion of impossible worlds into probabilistic models. Under weak assumptions about the space of worlds, most of the propositions (...) which can be constructed from possible and impossible worlds are in an important sense inexpressible; leaving the probabilistic model committed to saying that agents in general have at least as many attitudes towards inexpressible propositions as they do towards expressible propositions. If it is reasonable to think that our attitudes are generally expressible, then a model with such commitments looks problematic. (shrink)