There are two problems of simplicity. What does it mean to characterize a scientific theory as simple, unified or explanatory in view of the fact that a simple theory can always be made complex (and vice versa) by a change of terminology? How is preference in science for simple theories to be justified? In this paper I put forward a proposal as to how the first problem is to be solved. The more nearly the totality of fundamental physical theory (...) exemplifies the metaphysical thesis that the universe has a unified dynamic structure, so the simpler that totality of theory is. What matters is content, not form. This proposed solution may appear to be circular, but I argue that it is not. Towards the end of the paper I make a few remarks about the second, justificational problem of simplicity. (shrink)

This article aims to provide a consistent explication of the doctrine of Divine Simplicity. To achieve this end, a re-construal of the doctrine is made within an “aspectival trope-theoretic” metaphysical framework, which will ultimately enable the doctrine to be elucidated in a consistent manner, and the Plantingian objections raised against it will be shown to be unproblematic.

The doctrine of divine simplicity has recently been ably defended, but very little work has been done considering reasons to believe God is simple. This paper begins to address this lack. I consider whether divine aseity or the related notion of divine sovereignty provide us with good reason to affirm divine simplicity. Divine complexity has sometimes been thought to imply that God would possess an efficient cause; or, alternatively, that God would be grounded by God’s constituents. I argue (...) that divine complexity implies neither of these, and so that a complex God could also exist a se. Similarly, a complex God might be thought less sovereign than a simple God, due to lacking control over the divine constituents. I argue in reply that a complex God either has just as much control as a simple God, or that a complex God’s relative lack of control should cause no theological problems. The upshot is that neither the doctrines of divine aseity or of divine sovereignty give theists good reason to endorse divine simplicity. (shrink)

Metaphysicians frequently appeal to the idea that theoretical simplicity is truth conducive in metaphysics, in the sense that, all other things being equal, simpler metaphysical theories are more likely to be true. In this paper I defend the notion that theoretical simplicity is truth conducive in metaphysics, against several recent objections. I do not give any direct arguments for the thesis that simplicity is truth conducive in metaphysics, since I am aware of no such arguments. I do (...) argue, however, that there is no special problem with the notion that simplicity is truth conducive in metaphysics. More specifically, I argue that if you accept the idea that simplicity is truth conducive in science, then it would be objectionably arbitrary to reject the idea that simplicity is truth conducive in metaphysics. (shrink)

This chapter is a work in applied metaphysics. Recent discussions of monism and metaphysical dependence are deployed to develop a view—the doctrine of divine priority (DDP)—that is a viable alternative to the doctrine of divine simplicity (DDS). DDS and the traditional motivation for it are discussed, then DDP is introduced by way of an analogy involving Jonathan Schaffer’s distinction between two forms of monism. It is argued that DDP is an alternative to DDS by showing that it is consistent (...) with the traditional motivation for the latter view, and argued that DDP is a viable alternative by showing that objections to its peculiar implications rest on assumptions that can reasonably be rejected. In the concluding section, the findings of the main discussion are summarized and DDP’s potential theological import is illustrated with a brief discussion of a possible solution to the Problem of the Trinity it affords. (shrink)

Physical laws are strikingly simple, although there is no a priori reason they must be so. I propose that nomic realists of all types (Humeans and non-Humeans) should accept that simplicity is a fundamental epistemic guide for discovering and evaluating candidate physical laws. The proposal addresses several problems of nomic realism and simplicity. A consequence is that the oft-cited epistemic advantage of Humeanism over non-Humeanism disappears, undercutting an influential epistemological argument for Humeanism. Moreover, simplicity is shown to (...) be more tightly connected to lawhood than to mere truth. (shrink)

There has been little discussion of the compatibility of Theistic Conceptual Realism with the doctrine of divine simplicity. On the one hand, if a plurality of universals is necessary to explain the character of particular things, there is reason to think this commits the proponent of TCR to the existence of a plurality of divine concepts. So the proponent of the DDS has aprima faciereason to reject TCR. On the other hand, many mediaeval philosophers accept both the existence of (...) divine ideas and the DDS. In this article I draw on mediaeval and contemporary accounts of properties and divine simplicity to argue that the two theories are not logically incompatible. (shrink)

There is a traditional theistic doctrine, known as the doctrine of divine simplicity, according to which God is an absolutely simple being, completely devoid of any metaphysical complexity. On the standard understanding of this doctrine—as epitomized in the work of philosophers such as Augustine, Anselm, and Aquinas—there are no distinctions to be drawn between God and his nature, goodness, power, or wisdom. On the contrary, God is identical with each of these things, along with anything else that can be (...) predicated of him intrinsically. (shrink)

According to Richard Swinburne, the principle of simplicity is of great importance to theory choice scenarios and theoretical changes in the sciences. In particular, he holds that the theory choice criterion of fit with background evidence can be reduced to the criteria of simplicity and of yielding the data. We will, however, rebut this reduction thesis and show that three central aspects of theoretical change (confirming power of empirical data, reliability of experimental methods, and truth of new theoretical (...) proposals) cannot be adequately reconstructed if simplicity is regarded as a key criterion of theory choice. (shrink)

Discussions of divine simplicity generally overlook the distinction between identity claims that are reductivist and identity claims that are eliminativist. If, for instance, the identity claim that 'the chair = a configuration of particles' is merely reductive, then there exist chairs and there exist configurations of particles and it turns out that they are identical. The identity in this case does not reduce the ontological complexity of the world. But if the identity claim is eliminativist, then it is true (...) again that chairs are configurations of particles, but chairs do not in fact exist. The illusory object that we call a chair turns out to be nothing over and above a configuration of physical particles. The chair reduces to the configuration of particles without remainder. The defense of divine simplicity in this paper argues that it is in this eliminativist sense that God's intrinsic properties are identical to God. (shrink)

Divine Simplicity has it that God is absolutely simple. God exhibits no metaphysical complexity; he has neither proper parts nor distinct intrinsic properties. Recently, Jeffrey Brower has put forward an account of divine simplicity that has it that God is the truthmaker for all intrinsic essential predications about him. This allows Brower to preserve the intuitive thought that God is not a property but a concrete being. In this paper, I provide two objections to Brower’s account that are (...) meant to show that whatever merits this account of divine simplicity has, plausibility is not one of them. (shrink)

Standard approaches to ontological simplicity focus either on the number of things or types a theory posits or on the number of fundamental things or types a theory posits. In this paper, I suggest a ground-theoretic approach that focuses on the number of something else. After getting clear on what this approach amounts to, I motivate it, defend it, and complete it.

This paper examines a variety of approaches in order to make sense of the doctrine of divine simplicity. Discussing the implications of traditional and contemporary philosophical concepts of divine simplicity, the author argues for taking the divine nature as a stupendous substance to serve as the one and only truthmaker of statements regarding God, while we can resolve the predication problem which is caused by the idea that, as implied by divine simplicity, God is identical to his (...) attributes if we conceive of the divine nature as an equivalent to Platonic forms. (shrink)

It is often said that the best system account of laws needs supplementing with a theory of perfectly natural properties. The ‘strength’ and ‘simplicity’ of a system is language-relative and without a fixed vocabulary it is impossible to compare rival systems. Recently a number of philosophers have attempted to reformulate the BSA in an effort to avoid commitment to natural properties. I assess these proposals and argue that they are problematic as they stand. Nonetheless, I agree with their aim, (...) and show that if simplicity is interpreted as ‘compression’, algorithmic information theory provides a framework for system comparison without the need for natural properties. (shrink)

In this paper I first try to clarify the essential features of tropes and then I use the resulting analysis to cope with the problem of mental causation. As to the first step, I argue that tropes, beside being essentially particular and abstract, are simple, where such a simplicity can be considered either from a phenomenal point of view or from a structural point of view. Once this feature is spelled out, the role tropes may play in solving the (...) problem of mental causation is evaluated. It is argued that no solution based on the determinable/determinate relation is viable without begging the question as regards the individuating conditions of the related properties. Next, it is shown that Robb’s solution, much in the spirit of Davidson’s anomalous monism, entails abandoning the assumption that tropes are essentially simple, a consequence that I find not acceptable. My conclusion is that these entities are of no help in solving the problem of mental causation, and that a universalist approach should be preferred. (shrink)

This paper raises an underappreciated paradox for classical theism. Love seems to be an inherently biased and partial relation. Justice seems to require the opposite, detached impartiality (think of the attributes of the just judge). But if these are conceptual facts, then classical theism is guilty of ascribing inconsistent attributes to God: perfect love and perfect justice. I resolve this paradox in a manner that weighs in favor of the principle of divine simplicity.

I provide a simple solution to the problem of determining the characterising feature(s) of the simple approach to personal identity, sometimes also called the simple view: instead of focusing on claims regarding the analysability, reducibility, or triviality of the concepts used in simple theories of personal identity, I propose instead a metaphysical criterion to define this approach. In particular, I claim that the simple approach is (best seen as) that family of theories according to which personal identity is a relation (...) that essentially depends on a mereologically simple (or impartite) entity the existence and features of which may be known directly (e.g., by introspection) or indirectly (e.g., by deduction from a series of other premises). (shrink)

Homeopathic medications are used by millions, and hundreds of millions of dollars are spent on these remedies in the USA alone. In the UK, the NHS covers homeopathic treatments. Nonetheless, homeopathy is held in considerable disrepute by much of the medical and scientific community.Many proponents of homeopathy are well aware of these criticisms but remain unimpressed. The differences of opinion run deep, and the debate seems deadlocked. We aim to shed some light on this situation. We briefly recap some of (...) the major arguments on each side, but we try to go further by making explicit an underlying philosophical presupposition. In particular, we will claim that there is an important principle, which has ancient roots going back at least to Occam, some version of which constrains all empirical reasoning.We call this constraint the simplicity principle.We argue that this is not something specific to a scientific paradigm, but that, all of us, including proponents of homeopathy, are themselves deeply committed to the simplicity principle. However, once the simplicity principle is made explicit and applied to homeopathy, allegiance to homeopathy is clearly seen as irrational. The point is not merely the lack of clinical trials supporting homeopathy; rather, belief in the efficacy of homeopathy leaves a mountain of unexplained mysteries, and thereby flies in the face of the simplicity rule that guides the homeopaths’ own reasoning and arguments. If nothing else, we hope that defenders of homeopathy will gain a greater understanding of why critics are so deeply reluctant to accept the efficacy of homeopathic interventions – and that this reluctance is not mere stubbornness or artificial allegiance to western medicine. Finally, we also hope thereby to illustrate the usefulness of philosophy in unearthing presuppositions in seemingly deadlocked debates. (shrink)

Different opinions about the simplicity of God may be connected with different understandings of how abstract terms are used to name the properties which are affirmed of a being. If these terms are taken to signify parts of that being, this being is not a simple one. Thomas Aquinas, who attributes essence, existence and perfections to God, nevertheless thinks that these are not different parts of God. When essence, existence and perfections are attributed to God, they all denominate the (...) same, the Being of the first cause. For Aquinas, this is a consequence of his way of introducing the language about God by basing it upon the philosophical ways leading to God as first cause. Awareness of this connection between Divine attributes and the arguments for God’s existence is crucial for an adequate understanding of Aquinas’ position. (shrink)

According to the doctrine of divine simplicity, God is an absolutely simple being lacking any distinct metaphysical parts, properties, or constituents. Although this doctrine was once an essential part of traditional philosophical theology, it is now widely rejected as incoherent. In this paper, I develop an interpretation of the doctrine designed to resolve contemporary concerns about its coherence, as well as to show precisely what is required to make sense of divine simplicity.

In contrast to the most common view, I argue that one can consistently affirm that fundamental moral principles are objective and invariable, and yet are dependent on God. I explore and reject appealing to divine simplicity as a basis for affirming this conjunction. Rather, I develop the thesis that God is identical to the Good (the Identity View or IV) and argue that the IV does not fall to the criticisms of simplicity. I then consider a divine will (...) theory (DWT) that claims moral principles are grounded in God’s will. When the IV is conjoined with a DWT, there is reason to affirm an objective, theistically based ethics. The IV and DWT proposed here are models and while I attempt to increase their plausibility, I do not argue for their truth. The IV conjoined with a moral theory such as DWT explains the dependence of moral principles on God, while allowing for objectivity since morality is rooted in the eternal unchanging standard of the Good. (shrink)

In a 2014 paper in this journal, I put forward two objections to a version of divine simplicity I call ‘Divine Truthmaker Simplicity’. James Beebe and Timothy Pawl have come to Divine Truthmaker Simplicity’s defense. In this paper, I respond to Beebe and Pawl, consider an overlooked way of defending Divine Truthmaker Simplicity, and conclude by outlining an alternative account of God’s simplicity.

In this paper, I discuss a specific approach to measuring and comparing the simplicity of theories that is based on Lewis’s notion of fundamental properties. In particular, I discuss the criterion of simplicity as stated by Williams. According to Williams, the best candidate for a theory is the one which has the shortest definition in terms of fundamental properties. The aim of this paper is to show that the criterion thus specified has two constraints. First, the criterion is (...) not applicable to cases in which candidates for theories that specify fundamental properties are compared. Secondly, the applicability of the criterion in social sciences seems to be unwarranted. (shrink)

According to the most common interpretation of the simulation argument, we are very likely to live in an ancestor simulation. It is interesting to ask if some families of simulations are more likely than others inside the space of all simulations. We argue that a natural probability measure is given by computational complexity: easier simulations are more likely to be run. Remarkably this allows us to extract experimental predictions from the fact that we live in a simulation. For instance we (...) show that it is very likely that humanity will not achieve interstellar travel and that humanity will not meet other intelligent species in the universe, in turn explaining the Fermi's Paradox. On the opposite side, experimental falsification of any of these predictions would constitute evidence against our reality being a simulation. (shrink)

I critically examine the claim that modal collapse arguments against the traditional doctrine of divine simplicity (DDS) are in general fallacious. In a recent paper, Christopher Tomaszewski alleges that modal collapse arguments against DDS are invalid, owing to illicit substitutions of nonrigid singular terms into intensional contexts. I show that this is not, in general, the case. I show, further, that where existing modal collapse arguments are vulnerable to this charge the arguments can be repaired without any apparent dialectical (...) impropriety. I conclude that the genuine debate over modal collapse and divine simplicity and modal collapse is substantially a controversy over the metaphysics of divine action, and that this constitutes a fruitful direction in which to take future discussions of the subject. (shrink)

Roughly, a proof of a theorem, is “pure” if it draws only on what is “close” or “intrinsic” to that theorem. Mathematicians employ a variety of terms to identify pure proofs, saying that a pure proof is one that avoids what is “extrinsic,” “extraneous,” “distant,” “remote,” “alien,” or “foreign” to the problem or theorem under investigation. In the background of these attributions is the view that there is a distance measure (or a variety of such measures) between mathematical statements and (...) proofs. Mathematicians have paid little attention to specifying such distance measures precisely because in practice certain methods of proof have seemed self- evidently impure by design: think for instance of analytic geometry and analytic number theory. By contrast, mathematicians have paid considerable attention to whether such impurities are a good thing or to be avoided, and some have claimed that they are valuable because generally impure proofs are simpler than pure proofs. This article is an investigation of this claim, formulated more precisely by proof- theoretic means. After assembling evidence from proof theory that may be thought to support this claim, we will argue that on the contrary this evidence does not support the claim. (shrink)

Richard Dawkins has popularized an argument that he thinks sound for showing that there is almost certainly no God. It rests on the assumptions (1) that complex and statistically improbable things are more difficult to explain than those that are not and (2) that an explanatory mechanism must show how this complexity can be built up from simpler means. But what justifies claims about the designer’s own complexity? One comes to a different understanding of order and of simplicity when (...) one considers the psychological counterpart of information. In assessing his treatment of biological organisms as either self-programmed machines or algorithms, I show how self-generated organized complexity does not fit well with our knowledge of abduction and of information theory as applied to genetics. I also review some philosophical proposals for explaining how the complexity of the world could be externally controlled if one wanted to uphold a traditional understanding of divine simplicity. (shrink)

This paper argues that (1) Richard Swinburne’s general account of the simplicity of empirical hypotheses fails because it involves a deeply problematic notion of postulating a property, while there is a wide range of hypotheses where the assessment of simplicity rests entirely on the number and kinds of postulated properties, (2) Swinburne’s main argument in ’The Christian God’ for the simplicity of theism, the one based on considerations about pure limitless intentional power, is significantly weaker than he (...) seems to believe. The paper does not draw a conclusion about whether theism is simple. (shrink)

Some versions of the doctrine of divine simplicity imply that God lacks really differentiated parts. I present a new argument against these views based on divine beauty. The argument proceeds as follows: God is beautiful. If God is beautiful, then this beauty arises from some structure. If God’s beauty arises from a structure, then God possesses really differentiated parts. If these premises are true, then divine simplicity is false. I argue for each of the argument’s premises and defend (...) it against objections, including an objection based on analogical predication, and an objection that supposes that God is simple while appearing complex. (shrink)

I use Plotinus to present absolute divine simplicity as the consequence of principles about metaphysical and explanatory priority to which most theists are already committed. I employ Phil Corkum’s account of ontological independence as independent status to present a new interpretation of Plotinus on the dependence of everything on the One. On this reading, if something else (whether an internal part or something external) makes you what you are, then you are ontologically dependent on it. I show that this (...) account supports Plotinus’s claim that any entity with parts cannot be fully independent. In particular, I lay out Plotinus’s case for thinking that even a divine self-understanding intellect cannot be fully independent. I then argue that a weaker version of simplicity is not enough for the theist since priority monism meets the conditions of a moderate version of ontological independence just as well as a transcendent but complex ultimate being. (shrink)

In On the Nature and Existence of God, Richard Gale follows majority opinion in giving very short shrift to the doctrine of divine simplicity: in his view, there is no coherent expressible doctrine of divine simplicity. Rising to the implicit challenge, I argue that---contrary to what is widely believed---there is a coherently expressible doctrine of divine simplicity, though it is rather different from the views that are typically expressed by defenders of this doctrine. At the very least, (...) I think that I manage to show that there are ways of understanding the doctrine of divine simplicity that have not yet been adequately examined. (shrink)

Neuroeconomics illustrates our deepening descent into the details of individual cognition. This descent is guided by the implicit assumption that “individual human” is the important “agent” of neoclassical economics. I argue here that this assumption is neither obviously correct, nor of primary importance to human economies. In particular I suggest that the main genius of the human species lies with its ability to distribute cognition across individuals, and to incrementally accumulate physical and social cognitive artifacts that largely obviate the innate (...) biological limitations of individuals. If this is largely why our economies grow, then we should be much more interested in distributed cognition in human groups, and correspondingly less interested in individual cognition. We should also be much more interested in the cultural accumulation of cognitive artefacts: computational devices and media, social structures and economic institutions. (shrink)

Einstein’s theory of Special relativity is founded on an error made by Hendrick Lorentz. It is not necessary to expose the mathematical inconsistencies of special relativity, since the theory collapses by simply exposing the error made by Lorentz. In doing so, it not only causes special relativity to collapse, but also general relativity, and the many theories built upon these two deceptive theories. There are many claims of tests made which supposedly prove SR or GR, such as the eclipse of (...) 1919, the Hafele-Keating experiment, GPS, the orbit of Mercury, and muons. The error of these will also be shown as well as an area of astronomy which has been negatively impacted by SR. The epistemology approach to special relativity: you can know it is a false theory when the theory requires deceiving the student for acceptance and the tests which support the theory can be proven false. (shrink)

Within contemporary philosophical theology the doctrine of divine simplicity has regained attention. There are several new defenses of simplicity in the literature. One of the more surprising, and troubling, aspects of the contemporary defenses amongst Christian philosophers and theologians is a seeming lack of understanding about how radical the doctrine of divine simplicity truly is. As such, I wish to do a few things in this paper. First, systematically articulate the doctrine of divine simplicity. Second, argue (...) that divine simplicity is not a possible perfection. Third, offer some concluding remarks and remaining issues that will need to be sorted out for the debate over simplicity to continue. (shrink)

In this article, I explain how and why different attempts to defend absolute divine simplicity fail. A proponent of absolute divine simplicity has to explain why different attributions do not suppose a metaphysical complexity in God but just one superproperty, why there is no difference between God and His super-property and finally how a absolute simple entity can be the truthmaker of different intrinsic predications. It does not necessarily lead to a rejection of divine simplicity but it (...) shows that we may consider another conception of divine simplicity compatible with some metaphysical complexity in God. (shrink)

Divine simplicity is central to Thomas Aquinas’s philosophy of God. Most important for Aquinas is his view that God’s existence (esse) is identical to God’s essence; for everything other than God, there is a distinction between existence and essence. However, recent developments in analytic philosophy about the nature of existence threaten to undermine what Aquinas thought regarding divine simplicity. In the first chapter of this dissertation, I trace Aquinas’s thinking on divine simplicity through the various texts he (...) wrote regarding the matter. I establish that it is crucial for Aquinas that God is identical to his existence. But, is it even coherent to talk about “a thing’s existence?” In Chapter Two I summarize the arguments of C.J.F. Williams that existence is not a real property that individuals have and that predicating the word “exists” after the name of an individual produces linguistic gibberish. After considering, and rejecting, in Chapter Three attempts by some philosophers to refute Williams’s arguments, I turn, in Chapter Four, to a more detailed account of what Aquinas means by esse, the Latin word often rendered in English as “existence.” The conclusion that I come to is that Aquinas does not mean by esse what contemporary philosophers have usually meant by “existence.” Rather, he understands esse to be the act by which anything can be anything at all, instead of there being nothing whatsoever. In the final chapter, I turn to implications of this for Aquinas’s views of divine simplicity, showing that rather than being incoherent, Aquinas’s thinking on esse points toward the unfathomable mystery that is God. (shrink)

This paper explores applying the truthmaker theory to address the challenge of divine simplicity and its alignment with Ibn Sina’s understanding of divine attributes. It proposes that God’s essence enables the predication of these attributes, eliminating the need for constituent properties. By adopting this approach, meaningful statements about God can be expressed without delving into ontological intricacies. The truthmaker account establishes a direct connection between God’s necessary existence and the truthfulness of statements about Him, overcoming the barrier of ineffability. (...) It offers a robust framework for understanding and expressing the truth of divine attributes while preserving divine simplicity. Ultimately, the truthmaker account provides a compelling resolution to the problem of ineffability in the realm of divine attributes in Ibn Sina’s philosophy. (shrink)

This dissertation studies the way entities inhabit our world. According to my analysis, there is only one way to exist, i.e. being an arrangements of atomic entities with a five-dimensional shape. I call this thesis “pixelism”.

Popper's account of science is an endeavour in establishing the relationship between universality and truth. The idea is that the more an empirical law is universal, by precluding certain realities from obtaining in an evidentially falsifiable way, the more the law is supported by instances of its predictions being evidentially verified. The logical structure of this dynamic is captured by Popper's notion of 'corroboration'. However, this notion is suspect, for, depending on one's interpretation of evidential givenness, the relation between a (...) law's degree of universality and evidential corroborability could instead invert, thereby contradicting Popper. This paper also explores how a conceptualization of universality in terms of necessary simplicity-i.e., a measure of simplicity that is also sensitive to the evidence at hand-can better recontextualize evidential givenness to be about evidential support for a theory's predictive truth conduciveness, against Popper's understanding of evidential support for a theory's veracity concerning the evidence at hand. However, it is argued that employing necessary simplicity to attain truth conduciveness in a theory's predictions must appeal to specific background assumptions concerning the state of affairs the evidence is supposed to be about. When these background assumptions are denied as being necessarily instantiated, then a relation between necessary simplicity and truth conduciveness becomes contingently uncertain. (shrink)

This paper explores Thomas Aquinas’ and Richard Swinburne’s doctrines of simplicity in the context of their philosophical theologies. Both say that God is simple. However, Swinburne takes simplicity as a property of the theistic hypothesis, while for Aquinas simplicity is a property of God himself. For Swinburne, simpler theories are ceteris paribus more likely to be true; for Aquinas, simplicity and truth are properties of God which, in a certain way, coincide – because God is metaphysically (...) simple. Notwithstanding their different approaches, some unreckoned parallels between their thoughts are brought to light. (shrink)

I discuss what Aquinas’ doctrine of divine simplicity is, and what he takes to be its implications. I also discuss the extent to which Aquinas succeeds in motivating and defending those implications.

I discuss Hume's views about whether simplicity and generality are positive features of explanations. In criticizing Hobbes and others who base their systems of morality on self interest, Hume diagnoses their errors as resulting from a "love of simplicity". These worries about whether simplicity is a positive feature of explanations emerge in Hume's thinking over time. But Hume does not completely reject the idea that it's good to seek simple explanations. What Hume thinks we need is good (...) judgment about when we are going too far in our search for simple explanations. These worries about simplicity are not unique to Hume. We can see versions of them in the work of Hutcheson, Smith, and Reid. (shrink)

An analogue of Arrow’s theorem has been thought to limit the possibilities for multi-criterial theory choice. Here, an example drawn from Toy Science, a model of theories and choice criteria, suggests that it does not. Arrow’s assumption that domains are unrestricted is inappropriate in connection with theory choice in Toy Science. There are, however, variants of Arrow’s theorem that do not require an unrestricted domain. They require instead that domains are, in a technical sense, ‘rich’. Since there are rich domains (...) in Toy Science, such theorems do constrain theory choice to some extent—certainly in the model and perhaps also in real science. (shrink)

A scientific theory, in order to be accepted as a part of theoretical scientific knowledge, must satisfy both empirical and non-empirical requirements, the latter having to do with simplicity, unity, explanatory character, symmetry, beauty. No satisfactory, generally accepted account of such non-empirical requirements has so far been given. Here, a proposal is put forward which, it is claimed, makes a contribution towards solving the problem. This proposal concerns unity of physical theory. In order to satisfy the non-empirical requirement of (...) unity, a physical theory must be such that the same laws govern all possible phenomena to which the theory applies. Eight increasingly demanding versions of this requirement are distinguished. Some implications for other non-empirical requirements, and for our understanding of science are indicated. (shrink)

The general composition question asks “what are the necessary and jointly sufficient conditions any xs and any y must satisfy in order for it to be true that those xs compose that y?” Although this question has received little attention, there is an interesting and theoretically fruitful answer. Namely, strong composition as identity (SCAI): necessarily, for any xs and any y, those xs compose y iff those xs are identical to y. SCAI is theoretically fruitful because if it is true, (...) then there is an answer to one of the most difficult and intractable questions of mereology (The Simple Question). In this paper, I introduce the identity account of simplicity and argue that if SCAI is true then this identity account of simplicity is as well. I consider an objection to the identity account of simplicity. Ultimately, I find this objection unsuccessful. (shrink)

I examine the central atheistic argument of Richard Dawkins’s book The God Delusion (“Dawkins’s Gambit”) and illustrate its failure. I further show that Dawkins’s Gambit is a fragment of a more comprehensive critique of theism found in David Hume’s Dialogues Concerning Natural Religion. Among the failings of Dawkins’s Gambit is that it is directed against a version of the God Hypothesis that few traditional monotheists hold. Hume’s critique is more challenging in that it targets versions of the God Hypothesis that (...) are central to traditional monotheism. Theists and atheists should put away The God Delusion and pick up Hume’s Dialogues. (shrink)