In “God of the Gaps: A Neglected Reply to God’s Stone Problem”, Jc Beall and A. J. Cotnoir offer a gappy solution to the paradox of (unrestricted) omnipotence that is typified by the classic stone problem. Andrew Tedder and Guillermo Badia, however, have recently argued that this solution could not be extended to a more serious Curry-like version of the paradox. In this paper, we show that such a gappy solution does extend to it.

The idea of omnipotence plays a crucial role within the framework of classical theism. God is typically considered omnipotent, that is, able to perform any action. Sometimes, it is said that for God there is no difference between will and action; everything he wishes happens. However, as one reflects on the concept of omnipotence, some rather complex questions arise; the range of God’s possible “actions” is not clear. What are the boundaries of the power of an omnipotent being, (...) if these boundaries exist at all? In this paper, we will examine an interesting question: is it possible that two omnipotent beings exist? Or, does the property of omnipotence necessarily imply the uniqueness of its instantiation? Intuitively, the existence of more than one omnipotent being seems to be contradictory. However, we will demonstrate that under some conditions the existence of two omnipotent beings is possible. (shrink)

It is fortunate for my purposes that English has the two words ‘almighty’ and ‘omnipotent’, and that apart from any stipulation by me the words have rather different associations and suggestions. ‘Almighty’ is the familiar word that comes in the creeds of the Church; ‘omnipotent’ is at home rather in formal theological discussions and controversies, e.g. about miracles and about the problem of evil. ‘Almighty’ derives by way of Latin ‘omnipotens’ from the Greek word ‘ pantokratōr ’; and both this (...) Greek word, like the more classical ‘ pankratēs ’, and ‘almighty’ itself suggest God's having power over all things. On the other hand the English word ‘omnipotent’ would ordinarily be taken to imply ability to do everything; the Latin word ‘omnipotens’ also predominantly has this meaning in Scholastic writers, even though in origin it is a Latinization of ‘ pantocratōr ’. So there already is a tendency to distinguish the two words; and in this paper I shall make the distinction a strict one. I shall use the word ‘almighty’ to express God's power over all things, and I shall take ‘omnipotence’ to mean ability to do everything. (shrink)

Beall and Cotnoir (2017) argue that theists may accept the claim that God's omnipotence is fully unrestricted if they also adopt a suitable nonclassical logic. Their primary focus is on the infamous Stone problem (i.e., whether God can create a stone too heavy for God to lift). We show how unrestricted omnipotence generates Curry‐like paradoxes. The upshot is that Beall and Cotnoir only provide a solution to one version of the Stone problem, but that unrestricted omnipotence generates (...) other problems which they do not adequately address. (shrink)

One of the cornerstones of western theology is the doctrine of divine omnipotence. God is traditionally conceived of as an omnipotent or all-powerful being. However, satisfactory analyses of omnipotence are notoriously elusive. In this paper, I first consider some simple attempts to analyze omnipotence, showing how each fails. I then consider two more sophisticated accounts of omnipotence. The first of these is presented by Edward Wierenga; the second by Thomas Flint and Alfred Freddoso. I argue that (...) both of these accounts fail. Finally, I propose and defend a novel account of omnipotence. (shrink)

It is fortunate for my purposes that English has the two words ‘almighty’ and ‘omnipotent’, and that apart from any stipulation by me the words have rather different associations and suggestions. ‘Almighty’ is the familiar word that comes in the creeds of the Church; ‘omnipotent’ is at home rather in formal theological discussions and controversies, e.g. about miracles and about the problem of evil. ‘Almighty’ derives by way of Latin ‘omnipotens’ from the Greek word ‘pantokratōr’; and both this Greek word, (...) like the more classical ‘pankratēs’, and ‘almighty’ itself suggest God's having power over all things. On the other hand the English word ‘omnipotent’ would ordinarily be taken to imply ability to do everything; the Latin word ‘omnipotens’ also predominantly has this meaning in Scholastic writers, even though in origin it is a Latinization of ‘pantocratōr’. So there already is a tendency to distinguish the two words; and in this paper I shall make the distinction a strict one. I shall use the word ‘almighty’ to express God's power over all things, and I shall take ‘omnipotence’ to mean ability to do everything. (shrink)

An omnipotent being would be a being whose power was unlimited. The power of human beings is limited in two distinct ways: we are limited with respect to our freedom of will, and we are limited in our ability to execute what we have willed. These two distinct sources of limitation suggest a simple definition of omnipotence: an omnipotent being is one that has both perfect freedom of will and perfect efficacy of will. In this paper we further explicate (...) this definition and show that it escapes the standard objections to divine omnipotence. (shrink)

This book presents Hartshorne's philosophical theology briefly, simply, and vividly. Throughout the centuries some of the world's most brilliant philosophers and theologians have held and perpetuated six beliefs that give the word God a meaning untrue to its import in sacred writings or in active religious devotion: God is absolutely perfect and therefore unchangeable 2.omnipotenc 3.omniscienc 4.God's unsympathetic goodness, 5.immortality as a career after death, and 6.revelationble Charles Hartshorne deals with these six theological mistakes from the standpoint of his process (...) theology. Hartshorne says, "The book is unacademic in so far as I am capable of being that." Only a master like Hartshorne could present such sophisticated ideas so simply. This book offers an option for religious belief not heretofore available to lay people. (shrink)

If asked to define ‘omnipotence,’ the man on the street would probably say that it’s the ability to do anything. That’s about it, he’d think; nothing more needs be said. Philosophers are never so easily satisfied. They take it as matter of professional duty to find serious problems in important concepts, and to suggest that the concept be rejected or that solutions are at hand. This paper falls into the latter camp. Beginning with a relatively simple definition of ‘ (...) class='Hi'>omnipotence,’ increasingly complex definitions are proposed, problems are found with them, and newer, refined definitions are offered. In all, seven unsatisfactory definitions are examined before an adequate one is arrived at. Both traditional and new problems are addressed, and novel solutions are advanced. The definition argued to be adequate is itself novel, but also very much in keeping with our pre-reflective understanding of omnipotence. On the basis of the definition it’s concluded not only that an adequate definition of ‘omnipotence’ is possible, but that various problems alleged to attend attributing the notion to God can also be solved. (shrink)

In response to an earlier paper of mine, T. J. Mawson has argued that omnipotence is logically incompatible with wrong-doing, ‘whilst accepting that there is “a genuine, active power knowingly to choose evil” and thus leaving room for a free-will defence to the problem of evil’. Here, I attempt to show that Mawson is mistaken on both counts – that his argument for the incompatibility of omnipotence and wrong-doing is defective, and that the free-will defence cannot be sustained (...) on the ground marked out by him. Given Mawson's understanding of power and freedom, I argue that it would be possible for God to create persons who are both free and unable to make evil choices. (shrink)

The idea of omnipotence plays a crucial role within the framework of classical theism. God is typically considered omnipotent, that is, able to perform any action. Sometimes, it is said that for God there is no difference between will and action; everything he wishes happens. However, as one reflects on the concept of omnipotence, some rather complex questions arise; the range of God’s possible “actions” is not clear. What are the boundaries of the power of an omnipotent being, (...) if these boundaries exist at all? In this paper, we will examine an interesting question: is it possible that two omnipotent beings exist? Or, does the property of omnipotence necessarily imply the uniqueness of its instantiation? Intuitively, the existence of more than one omnipotent being seems to be contradictory. However, we will demonstrate that under some conditions the existence of two omnipotent beings is possible. (shrink)

Let’s call “Cartesian omnipotence” the view that an omnipotent being can bring about any state of affairs at all, even logically impossible ones. The present paper explores what can be said in support of CO. It turns out that several powerful and interesting arguments can be given in its defense, although in the end, along with the vast majority of philosophers of religion, I reject it.

Recently, many philosophers have supposed that the divine attribute of omnipotence is properly understood as some kind of maximal power. I argue that all of the best known attempts to analyse omnipotence in terms of maximal power are multiply flawed. Moreover, I argue that there are compelling reasons for supposing that, on orthodox theistic conceptions, maximal power is not one of the divine attributes.

In Atheism: A Philosophical Justification, Michael Martin argues that to posit a God that is both omnipotent and omniscient is philosophically incoherent. I challenge this argument by proposing that a God who is necessarily omniscient is more powerful than a God who is contingently omniscient. I then argue that being omnipotent entails being omniscient by showing that for an all-powerful being to be all-powerful in any meaningful way, it must possess complete knowledge about all states of affairs and thus must (...) be understood to be omniscient. (shrink)

Can an omnipotent being create a stone too heavy for him to lift? If not, he is not omnipotent. But if so, he is not omnipotent either, since there is something he cannot lift. Hence there can be no omnipotent being. J.L. Cowan's recent reformulation of this paradox of omnipotence has been sharpened through a number of objections and clarifications, and, in its final form, constitutes a significant problem for the analysis of the concept of an omnipotent agent. I (...) will develop fragments of two systems in which the problem can be defined more exactly, and try to indicate some formal guidelines within which constructive steps towards a solution may be possible. I will argue that the paradox shows the need for a special kind of restriction on omnipotence that can be distinguished from some related restrictions. (shrink)

CAN A COHERENT ACCOUNT BE PROVIDED OF WHAT IT IS FOR A BEING TO BE OMNIPOTENT, WHICH BRINGS OUT WHAT THEISTS HAVE WANTED TO SAY WHEN THEY CLAIM THAT GOD IS OMNIPOTENT? IT IS ARGUED THAT IT CAN. A BEING S IS SAID TO BE OMNIPOTENT AT A TIME T IF FOR ANY LOGICALLY CONTINGENT STATE OF AFFAIRS X AFTER T, SUCH THAT THE OCCURRENCE OF X AFTER T DOES NOT ENTAIL THAT S DID NOT BRING ABOUT X AT T, (...) S IS ABLE AT T TO BRING ABOUT X. THIS ACCOUNT IS IMMUNE TO DIFFICULTIES SUCH AS THOSE OFFERED BY THE PARADOX OF THE STONE. (shrink)

The doctrine that God is omnipotent takes its rise from Scriptural texts which concern two linked topics. One is how much power God has to put behind actions: enough that nothing is too hard, enough to do whatever he pleases. The other is how much God can do: ‘all things’. The link is obvious: we measure strength by what tasks it is adequate to perform, and God is so strong he can do all things. The Christian philosophical theologian who seeks (...) to explicate omnipotence seeks a convincing account of the reality beneath the ‘phenomena’ of Scripture. This article looks briefly at some historic accounts of omnipotence. It emerges that the early history of the concept emphasized strength more than range of action, with range coming to prominence in Aquinas's day. Three recent attempts to define omnipotence are then considered. All are found wanting, but the author draws morals that help him hazard his own definition. (shrink)

This chapter contains sections titled: What Omnipotence Signifies The Riddle of the Stone Further Limitations on the Power of an Omnipotent Agent Are Divine Omnipotence and Moral Perfection Compatible? Works cited.

This chapter contains section titled: Maximal Power and the Uniqueness of God What an Omnipotent Agent Can Do The Analysis of Omnipotence Divine Omnibenevolence, Omnipotence, and Freedom.

In this paper, I argue that the supposition of divine omnipotence entails a contradiction: omnipotence both must and must not be intrinsic to God. Hence, traditional theism must be rejected. To begin, I separate out some theoretical distinctions needed to inform the discussion. I then advance two different arguments for the conclusion that omnipotence must be intrinsic to God; these utilise the notions of essence and aseity. Next, I argue that some necessary conditions on being omnipotent are (...) extrinsic, and that this means omnipotence cannot be intrinsic to God. I consider three different ways of resolving this conflict, but contend that each is unsuccessful. Before concluding, I explain why the type of strategy used to resolve the traditional paradoxes of omnipotence cannot be successfully employed against the paradox presented here. (shrink)

Omnipotence is the property of being all-powerful; it is one of the traditional divine attributes in Western conceptions of God. This notion of an all-powerful being is often claimed to be incoherent because a being who has the power to do anything would, for instance, have the power to draw a round square. However, it is absurd to suppose that any being, no matter how powerful, could draw a round square. A common response to this objection is to assert (...) that defenders of divine omnipotence never intended to claim that God could bring about logical absurdities. This observation about what is not meant by omnipotence does little, however, to clarify just what is meant by that term. Philosophers have therefore attempted to state necessary and sufficient conditions for omnipotence. (shrink)

The notion of omnipotence has proved to be quite recalcitrant to analysis. Still, during the last three decades or so, there has resurfaced a clever argument to the effect that, whatever omnipotence is, it cannot be exemplified in God: an allegedly impeccable and all-perfect being. Scrutinizing this argument, however, I find it less than convincing. Moreover, and more importantly, I venture a positive account of my own: a non-technical and distinctively metaphysical definition of omnipotence which, if true, (...) sidesteps quite a number of well-known pitfalls. Also, by way of introduction, I review some earlier attempts. (shrink)

Could God command us to hate him? Here I offer two arguments that He cannot. I also argue that this restriction on God’s power is consistent with a strong doctrine of omnipotence according to which God can do anything broadly logical possible.

It has in recent years been argued, by Professors Antony Flew and J. L. Mackie, that God could have created men wholly good. For, causal determinism being compatible with free will, men could have been made in such a way that, without loss of freedom, they would never have fallen into sin. This if true would constitute a weighty anti-theistic argument. And yet intuitively it seems unconvincing. I wish here to uncover the roots of this intuitive suspicion.

The most widespread models of rational reasoners (the model based on modal epistemic logic and the model based on probability theory) exhibit the problem of logical omniscience. The most common strategy for avoiding this problem is to interpret the models as describing the explicit beliefs of an ideal reasoner, but only the implicit beliefs of a real reasoner. I argue that this strategy faces serious normative issues. In this paper, I present the more fundamental problem of logical omnipotence, which (...) highlights the normative content of the problem of logical omniscience. I introduce two developments of the notion of implicit belief (accessible and stable belief ) and use them in two versions of the most common strategy applied to the problem of logical omnipotence. (shrink)

Can God be both omnipotent and essentially good? Working with the Anselmian conception of God as the greatest possible being, a number of philosophers have tried to show that omnipotence should be understood in such a way that these properties are compatible. In the present paper, I argue that we can, without inconsistency or other obvious absurdity, conceive of a being more powerful than the Anselmian God. I conclude that contemporary Anselmian philosophers have conflated two logically distinct questions: (1) (...) How much power would be possessed by the best possible God? and (2) How much power is required for omnipotence? When these questions are distinguished, it can be seen that the Anselmian God does not have maximal power and is not omnipotent. (shrink)

Spinoza is a pantheist: he believes that everything that is, is God. Traditional Judaeo-Christian theologians dislike the idea, and Spinoza has always been unpopular for it. Nevertheless, I want here to suggest that, simply by following out the logic of omniscience and omnipotence—two attributes of God on which both Spinoza and his opponents are agreed—it is possible to arrive at a conception of God which is at least very close to Spinoza's own. I do not claim that any of (...) the arguments I use are to be found in Spinoza, but I do think that this way of thinking helps to explain the motives behind his ‘hideous hypothesis’. (shrink)

We argue that there is no metaphysically possible world with two or more omnipotent beings, due to the potential for conflicts of will between them. We reject the objection that omnipotent beings could exist in the same world when their wills could not conflict. We then turn to Alfred Mele and M.P. Smith’s argument that two coexisting beings could remain omnipotent even if, on some occasions, their wills cancel each other out so that neither can bring about what they intend. (...) We argue that this argument has an absurd consequence, namely having to regard an utterly powerless being as omnipotent. (shrink)

Many people who claim that evolution and theism are in tension assume that God, being omnipotent, could create life in different ways. For instance, Paul Draper has argued that the fact that life evolved on earth supports naturalism over theism. However, for there to be a probabilistic tension between naturalism and theism, because of the fact of evolution, a certain background assumption must be true, namely, that God could have made biological organisms and species through an act of Genesis-style special (...) creation, or some combination of evolution and special creation. But that background assumption is potentially faulty. Why? Because special creation presupposes that biological organisms and species are spatiotemporally unrestricted entities, and if the dominant paradigm in biology, and philosophy of biology, on the ontological status of organisms and species is correct, then they are spatiotemporally restricted entities. (shrink)

Certain philosophers have attacked the problem of defining omnipotence by arguing that the following provides at least the core of a successful definition:(Dl) x is omnipotent = df. (s)(it is possible for some agent to bring about s->-x has the ability to bring about s).In Dl, x ranges over agents and s over states of affairs.Despite the intuitive plausibility of Dl, it has been argued that certain conjunctive states of affairs provide counterexamples to Dl, for example:(si) A ball moves (...) at t and no omnipotent agent brings it about that a ball moves at t.First, we show that if states of affairs like si are genuine counterexamples to Dl, then certain strategies which have been employed in the literature to provide an analysis along the lines of Dl do not succeed. Second, we argue that despite appearances, states of affairs like si are not genuine counterexamples to Dl. (shrink)

The classical paradox of the stone, namely, whether an omnipotent being can create a stone that the being itself cannot lift is traditionally circumvented by a response propounded by Thomas Aquinas, that even omnipotent beings cannot accomplish the logically impossible. However, in their paper “The New Paradox of the Stone,” Alfred R. Mele and M.P. Smith attempt to reinstate the paradox without falling foul of the Thomistic logical constraint. According to Mele and Smith, instead of interpreting the paradox as posing (...) a competition between a pair of omnipotent beings—represented by God at two different times—the paradox can be reformulated as posing a question about simultaneous competition between a pair of omnipotent beings. The purpose of this paper is, therefore, to probe the possibility of the simultaneous existence of two omnipotent beings in view of the theological arguments for the “unicity of the omnipotent.”. (shrink)

The classical paradox of the stone, namely, whether an omnipotent being can create a stone that the being itself cannot lift is traditionally circumvented by a response propounded by Thomas Aquinas, that even omnipotent beings cannot accomplish the logically impossible. However, in their paper “The New Paradox of the Stone,” Alfred R. Mele and M.P. Smith attempt to reinstate the paradox without falling foul of the Thomistic logical constraint. According to Mele and Smith, instead of interpreting the paradox as posing (...) a competition between a pair of omnipotent beings—represented by God at two different times—the paradox can be reformulated as posing a question about simultaneous competition between a pair of omnipotent beings. The purpose of this paper is, therefore, to probe the possibility of the simultaneous existence of two omnipotent beings in view of the theological arguments for the “unicity of the omnipotent.”. (shrink)

Should an omnipotent being be able to limit its own power? Along with Swinburne, Dean Zimmerman answers in the affirmative. My intuitions push in the opposite direction. The ability to limit one's own power constitutes a vulnerability. In this paper, I argue that a great deal hangs on this issue. If God cannot revoke His own omnipotence, then only a necessarily existent being can ever create anything truly ex nihilo. Moreover, if God cannot revoke His own omnipotence, then (...) it turns out that theism entails idealism. No wonder that Zimmerman resists. I prefer to take the plunge and endorse idealism! (shrink)