I argue that there is methodological space for a functional explanation of the nature of law that does not commit the theorist to a view about the value of that function for society, nor whether law is the best means of accomplishing it. A functional explanation will nonetheless provide a conceptual framework for a better understanding of the nature of law. First I examine the proper role for function in a theory of law and then argue for the possibility of (...) a neutral functional theory, addressing issues raised by Leslie Green, Stephen Perry, Michael Moore and John Finnis. (shrink)

Much of the discussion surrounding the ethics of abortion has centered around the notion of personhood. This is because many philosophers hold that the morality of abortion is contingent on whether the fetus is a person - though, of course, some famous philosophers have rejected this thesis (e.g. Judith Thomson and Don Marquis). In this article, I construct a novel argument for the immorality of abortion based on the notion of impairment. This argument does not assume that the fetus is (...) a person - indeed, I concede (for the sake of argument) that the fetus is not a person - and hence the morality of abortion is not contingent on whether the fetus is a person. I finish by answering a plethora of objections to my argument, concluding that none of them are successful. (shrink)

This paper will set out in plain language the basic ontology of “Deleuze’s Spinoza”; it will then critically examine whether such a Spinoza has, or indeed could have, ever truly existed. In this, it will be shown that Deleuze’s reading of Spinoza involves the imposition of three interlocking, formal principles. These are (1) Necessitarianism, (2) Immanence, and (3) Univocity. The uncovering of Deleuze’s use of these three principles, how they relate to one another, and what they jointly imply in terms (...) of ontology, will occupy Part 1 of this paper. The critique of these principles from a Spinozist perspective, i.e. that their use by Deleuze is incompatible with Spinoza’s own metaphysics, will occupy Part 2 of this paper. (shrink)

The use of the symbol ∨for disjunction in formal logic is ubiquitous. Where did it come from? The paper details the evolution of the symbol ∨ in its historical and logical context. Some sources say that disjunction in its use as connecting propositions or formulas was introduced by Peano; others suggest that it originated as an abbreviation of the Latin word for “or,” vel. We show that the origin of the symbol ∨ for disjunction can be traced to Whitehead and (...) Russell’s pre-Principia work in formal logic. Because of Principia’s influence, its notation was widely adopted by philosophers working in logic (the logical empiricists in the 1920s and 1930s, especially Carnap and early Quine). Hilbert’s adoption of ∨ in his Grundzüge der theoretischen Logik guaranteed its widespread use by mathematical logicians. The origins of other logical symbols are also discussed. (shrink)

The “Embryo Rescue Case” (ERC) refers to a thought experiment that is used to argue against the view that embryos have a right to life (i.e. are persons). I will argue that cognitive science undermines the intuition elicited by the ERC; I will show that whether or not embryos have a right to life, our mental tools will make it very difficult to believe that embryos have said right. This suggests that the intuition elicited by the ERC is not truth (...) indicative. The upshot of this is that we have an undercutting defeater for our intuition that embryos do not have a right to life. (shrink)

In his 1918 logical atomism lectures, Russell argued that there are no molecular facts. But he posed a problem for anyone wanting to avoid molecular facts: we need truth-makers for generalizations of molecular formulas, but such truth-makers seem to be both unavoidable and to have an abominably molecular character. Call this the problem of generalized molecular formulas. I clarify the problem here by distinguishing two kinds of generalized molecular formula: incompletely generalized molecular formulas and completely generalized molecular formulas. I next (...) argue that, if empty worlds are logically possible, then the model-theoretic and truth-functional considerations that are usually given address the problem posed by the first kind of formula, but not the problem posed by the second kind. I then show that Russell’s commitments in 1918 provide an answer to the problem of completely generalized molecular formulas: some truth-makers will be non-atomic facts that have no constituents. This shows that the neo-logical atomist goal of defending the principle of atomicity—the principle that only atomic facts are truth-makers—is not realizable. (shrink)

Curren and Metzger’s work makes a bold, normative claim: The moral goal of sustainability is human flourishing. Their eudaimonic theory has as its summum bonum ‘living well’ according to the fundam...

A pardon is an act of mercy according to the law, but is a pardon mercy in an ordinary or genuine sense? What distinguishes a pardon from a lenient judicial sentence, which is not mercy by the law’s lights? These are questions about what mercy as it is understood in law has to do with mercy as it is understood outside of law, and about who in government acts mercifully and when, if indeed anyone in government ever does. Here I (...) propose a general analysis of mercy, then bring that analysis to bear on government action. Three features of my analysis are noteworthy. First, almost all existing analyses say that mercy is unconstrained in a normative sense, but I argue that mercy is unconstrained in the way that arbitrary power is unconstrained. Second, although it’s often assumed that mercy must be motivated by compassion, I show that mercy only requires acting with the intention to benefit the recipient. Third, my analysis says that mercy requires the giver of mercy to overcome a motivation to treat the recipient harshly. Given this analysis, few government acts are merciful, but pardon is an institutional approximation or analog of mercy. -/- . (shrink)

In cases in which we must choose between either (i) preventing a woman from remaining unwillingly pregnant or (ii) preventing a fetus from being killed, we should prevent the fetus from being killed. But this suggests that in typical cases abortion is wrong: typical abortions involve preventing a woman from remaining unwillingly pregnant over preventing a fetus from being killed. And so abortion is typically wrong—and this holds whether or not fetuses are persons.

The international relations curriculum has long presented a dichotomy between the so-called “realist” and “idealist” positions. Idealists seek to embody universal norms of justice in foreign policy. Realists, by contrast, see competition between states, the balance of power, and relative advantage as basic to international politics. Though considered polar opposites, both the realist and idealist affirm the primacy of the nation state as a sovereign political unit, and so neither embraces cosmopolitanism in the strongest sense, i.e., the transcendence of national (...) divisions as such. Opening up the IR curriculum to such a radical possibility requires its reframing in terms of underlying, ethical worldviews. Under this lens, it becomes evident that the realist and idealist share far more in common than contemporary policy debates would suggest. It also points us toward the space for an alternate ethical worldview, provided by Stoic rationalism, which is more viable for grounding cosmopolitan thought. (shrink)

I claim that a relatively new position in philosophy of mathematics, pluralism, overlaps in striking ways with the much older Jain doctrine of anekantavada and the associated doctrines of nyayavada and syadvada. I first outline the pluralist position, following this with a sketch of the Jain doctrine of anekantavada. I then note the srrong points of overlaps and the morals of this comparison of pluralism and anekantavada.

‘Universal benevolence’ may be defined as the goal of promoting the welfare of every individual, however remote, to the best of one’s ability. Currently, the commonest model of universal benevolence is that of ‘impartiality,’ the notion promoted by Peter Singer, Roderick Firth, and others, that every individual (including oneself) is of equal intrinsic worth. This paper contends that the impartialist model is seriously flawed. Specifically, it is demonstrated that impartialist accounts of benevolence (1) attempt to draw positive moral conclusions from (...) negative premises, (2) draw actual conclusions from merely counterfactual premises, (3) fail to live up to stated claims of naturalism, and (4) give no compelling account of moral motivation. By contrast, I propose an alternate model of universal benevolence, grounded in the Stoic, cosmopolitan theory of oikeiôsis, i.e. ‘appropriation.’ Such a model, in contradistinction to impartiality, would see benevolence as the positive identification between moral agent and moral patient, rather than a charitable sacrifice of oneself for a distinct but equal other. An ethics of oikeiôsis has the further benefit of avoiding each of the four abovementioned conceptual pitfalls common to impartialist theories. (shrink)

It is often assumed that if the fetus is a person, then abortion should be illegal. Thomson1 laid the groundwork to challenge this assumption, and Boonin2 has recently argued that it is false: he argues that abortion should be legal even if the fetus is a person. In this article, I explain both Thomson’s and Boonin’s reason for thinking that abortion should be legal even if the fetus is a person. After this, I show that Thomson’s and Boonin’s argument for (...) legalised abortion fail; they have not given us good reason for thinking abortion should be legal.1 Finally, I argue that—if we play Boonin’s game—abortion should be illegal. When discussing the ethics and politics of abortion, whether the fetus is a person is usually central.3 4.2 However, Thomson1 long ago challenged this view. She argued that abortion is permissible even if the fetus is a person. To do so, she asks us to consider a case in which you are non-consensually taken to a hospital and hooked up to a famous violinist. The violinist, if he is to survive, needs to filter his blood through your body. After 9 months, he will be fine and you can unplug yourself and go on your way. If you unplug yourself prior to this, however, he will die. Is it permissible to unplug yourself? Thomson thinks the answer is ‘yes’. And this, she thinks, shows that abortion is permissible even if the fetus is a person. While the majority of her article focuses on the ethics of abortion, it is clear that she also aims to show that abortion should be legal if the fetus is a person; she would no doubt reject the view that the state is right to coerce you into …. (shrink)

Perry Hendricks’ impairment argument for the immorality of abortion is based on two premises: first, impairing a fetus with fetal alcohol syndrome is immoral, and second, if impairing an organism to some degree is immoral, then ceteris paribus, impairing it to a higher degree is also immoral. He calls this the impairment principle. Since abortion impairs a fetus to a higher degree than FAS, it follows from these two premises that abortion is immoral. Critics have focussed on the ceteris (...) paribus clause of TIP, which requires that the relevant details surrounding each impairment be sufficiently similar. In this article, we show that the ceteris paribus clause is superfluous, and by replacing it with a more restrictive condition, the impairment argument is considerably strengthened. There are no data in this work. (shrink)

In my article "Even if the fetus is not a person, abortion is immoral: The impairment argument" (this journal), I defended what I called “The impairment argument” which purports to show that abortion is immoral. Bruce Blackshaw (2019) has argued that my argument fails on three accounts. In this article, I respond to his criticisms.

Recently, there has been growing concern that increased partisanship in news sources, as well as new ways in which people acquire information, has led to a proliferation of epistemic bubbles and echo chambers: in the former, one tends to acquire information from a limited range of sources, ones that generally support the kinds of beliefs that one already has, while the latter function in the same way, but possess the additional characteristic that certain beliefs are actively reinforced. Here I argue, (...) first, that we should conceive of epistemic bubbles and echo chambers as types of epistemically pernicious groups, and second, that while analyses of such groups have typically focused on relationships between individual members, at least part of what such groups epistemically pernicious pertains to the way that members rely on the groups themselves as sources of information. I argue that member reliance on groups results in groups being attributed a degree of credibility that outruns their warrant, a process I call groupstrapping. I argue that by recognizing the groupstrapping as an illicit method of forming and updating beliefs we can make progress on some of the open questions concerning epistemically pernicious groups. (shrink)

Skeptical theism is a popular response to arguments from evil. Many hold that it undermines a key inference often used by such arguments. However, the case for skeptical theism is often kept at an intuitive level: no one has offered an explicit argument for the truth of skeptical theism. In this article, I aim to remedy this situation: I construct an explicit, rigorous argument for the truth of skeptical theism.

I provide an updated version of The Impairment Argument against abortion and respond to numerous objections that can be (and have been) raised to it.

It is has been argued that there is a problem with moral testimony: testimony is deferential, and basing judgments and actions on deferentially acquired knowledge prevents them from having moral worth. What morality perhaps requires of us, then, is that we understand why a proposition is true, but this is something that cannot be acquired through testimony. I argue here that testimony can be both deferential as well as cooperative, and that one can acquire moral understanding through cooperative testimony. The (...) problem of moral testimony is thus not a problem with testimony generally, but a problem of deferential testimony specifically. (shrink)

Interactive theorem provers might seem particularly impractical in the history of philosophy. Journal articles in this discipline are generally not formalized. Interactive theorem provers involve a learning curve for which the payoffs might seem minimal. In this article I argue that interactive theorem provers have already demonstrated their potential as a useful tool for historians of philosophy; I do this by highlighting examples of work where this has already been done. Further, I argue that interactive theorem provers can continue to (...) be useful tools for historians of philosophy in the future; this claim is defended through a more conceptual analysis of what historians of philosophy do that identifies argument reconstruction as a core activity of such practitioners. It is then shown that interactive theorem provers can assist in this core practice by a description of what interactive theorem provers are and can do. If this is right, then computer verification for historians of philosophy is in the offing. (shrink)

Demonstratives seem to have posed a severe difficulty for Frege’s philosophy of language, to which his doctrine of incommunicable senses was a reaction. In “The Thought,” Frege briefly discusses sentences containing such demonstratives as “today,” “here,” and “yesterday,” and then turns to certain questions that he says are raised by the occurrence of “I” in sentences (T, 24-26). He is led to say that, when one thinks about oneself, one grasps thoughts that others cannot grasp, that cannot be communicated. However, (...) nothing could be more out of the spirit of Frege’s account of sense and thought than an incommunicable, private thought. In the first part of the paper, I explain the problem demonstratives pose for Frege, and explore three ways he might have dealt with it. I argue that none of these ways provides Frege with a solution to his problem consistent with his philosophy of language. The first two are plausible as solutions, but contradict his identification of the sense expressed by a sentence with a thought. The third preserves the identification, but is implausible. In the second part, I suggest that Frege was led to his doctrine of incommunicable senses as a result of some appreciation of the difficulties his account of demonstratives faces, for these come quickly to the surface when we think about “I.” I argue that incommunicable senses won’t help. I end by trying to identify the central problem with Frege’s approach, and sketching an alternative. (shrink)

Critics of skeptical theism often claim that if it (skeptical theism) is true, then we are in the dark about whether (or for all we know) there is a morally justifying for God to radically deceive us. From here, it is argued that radical skepticism follows: if we are truly in the dark about whether there is a morally justifying reason for God to radically deceive us, then we cannot know anything. In this article, I show that skeptical theism does (...) not entail that we are in the dark about whether (or for all we know) there is a morally justifying reason for God to deceive us. And hence arguments against skeptical theism that make use of this assumption fail. (shrink)

Arguments from evil purport to show that some fact about evil makes it (at least) probable that God does not exist. Skeptical theism is held to undermine many versions of the argument from evil: it is thought to undermine a crucial inference that such arguments often rely on. Skeptical objections to skeptical theism claim that it (skeptical theism) entails an excessive amount of skepticism, and therefore should be rejected. In this article, I show that skeptical objections to skeptical theism have (...) a very limited scope: only those who reject certain (apparently) popular epistemological theories will be threatened by them. (shrink)

A revolt against the Enlightenment’s legacy has marked the academic culture of a generation. Leftists today often criticize the Radical Enlightenment thesis, arguing that those who advance it privilege the force of ideas in history over material forces. They accuse its proponents of elevating philosophy written by elite European men over the sacrifices made by ordinary people in the course of mass struggle.

Lougheed argues that a possible solution to the problem of divine hiddenness is that God hides in order to increase the axiological value of the world. In a world where God exists, the goods associated with theism necessarily obtain. But Lougheed also claims that in such a world it’s possible to experience the goods of atheism, even if they don’t actually obtain. This is what makes a world with a hidden God more valuable than a world where God is unhidden, (...) and also more valuable than an atheistic world with no God. We show that Lougheed never considers the comparison between a world where God hides and an atheistic world. We argue that it’s possible for a person to experience theistic goods in a world where God does not exist, a possibility Lougheed never considers. If this is right it undermines his axiological solution to divine hiddenness. We conclude by showing how our discussion of the axiology of theism connects to the existential question of whether God exists; that is, we show that the axiological question is dependent on the existential question. (shrink)

Say theism is the view that an omnipotent, omniscient, perfectly loving, and perfectly good being exists. And say pointless atheism occurs just in case there’s an atheist who isn’t resistant to belief in God, and no greater good comes about on account of this atheist’s non-belief. In this article, I show that if two prominent views about evil and divine hiddenness are accepted, theism is compatible with pointless atheism—a result hitherto unnoticed. Furthermore, not only is theism compatible with pointless atheism, (...) it entails pointless atheism. This is significant because many objections to the argument from divine hiddenness have tried to show that all instances of non-resistant atheism are required for a greater good. But if I’m right, given theism, there need not be a point to non-resistant atheism. Indeed, we should expect there to be pointless atheism. (shrink)

Abortion restrictions are particularly good for black women—at least in the United States. This claim will likely strike many as outlandish. And numerous commentaries on abortion restrictions have suggested otherwise: many authors have lamented the effects of abortion restrictions on women, and black women in particular—these restrictions are bad for them, these authors say. However, abortion restrictions are clearly good for black women. This is because if someone is prevented from performing a morally wrong action, it’s good for her. For (...) example, it’s good for Sarah if she’s prevented from driving home drunk. However, since abortion is morally wrong, it follows that it’s good for women when they are prevented from getting an abortion. And since black women get abortions at disproportionately high rates, abortion restrictions are good in particular for black women. Indeed, this is an example of a positive effect of intersectionality. [lightly updated in light of it being rescinded.]. (shrink)

The semantic paradoxes are associated with self-reference or referential circularity. However, there are infinitary versions of the paradoxes, such as Yablo's paradox, that do not involve this form of circularity. It remains an open question what relations of reference between collections of sentences afford the structure necessary for paradoxicality -- these are the so-called "dangerous" directed graphs. Building on Rabern, et. al (2013) we reformulate this problem in terms of fixed points of certain functions, thereby boiling it down to get (...) a purely mathematical problem. (shrink)

Perry Hendricks’ original impairment argument for the immorality of abortion is based on the impairment principle (TIP): if impairing an organism to some degree is immoral, then ceteris paribus, impairing it to a higher degree is also immoral. Since abortion impairs a fetus to a higher degree than fetal alcohol syndrome (FAS) and giving a fetus FAS is immoral, it follows that abortion is immoral. Critics have argued that the ceteris paribus is not met for FAS and abortion, and (...) so we proposed the Modified Impairment Principle (MIP) to avoid these difficulties. Dustin Crummett has responded, arguing that MIP is open to various counterexamples which show it to be false. He also shows that MIP can generate moral dilemmas. Here, we propose a modification to MIP that resolves the issues Crummett raises. Additionally, Alex Gillham has criticized our appropriation of Don Marquis’ ‘future like ours’ reasoning about the wrongness of impairment. We show that his objections have minimal implications for our argument. (shrink)

De facto objections to theism purport to show that theism is false, whereas de jure objections to theism claim that, whether or not theism is true, belief in God is irrational. Divine hiddenness – the fact that there are people who non-resistantly lack belief in God – is sometimes used as an argument against theism. In this article I will show that accepting the argument from divine hiddenness carries a high cost: it eliminates all de jure objections to theism. So (...) atheists can either have de jure objections to theism or the objection from divine hiddenness, but they cannot have both. (shrink)

This article is a response to Stephen Law's article ‘The evil-god challenge’. In his article, Law argues that if belief in evil-god is unreasonable, then belief in good-god is unreasonable; that the antecedent is true; and hence so is the consequent. In this article, I show that Law's affirmation of the antecedent is predicated on the problem of good (i.e. the problem of whether an all-evil, all-powerful, and all-knowing God would allow there to be as much good in the world (...) as there is), and argue that the problem of good fails. Thus, the antecedent is unmotivated, which renders the consequent unmotivated. Law's challenge for good-god theists is to show that good-god theism is not rendered unreasonable by the problem of evil in the same way that evil-god theism is rendered unreasonable by the problem of good. Insofar as the problem of good does not render belief in evil-god unreasonable, Law's challenge has been answered: since it is not unreasonable to believe in evil-god (at least for the reasons that Law gives) it is not unreasonable to believe in good-god. Finally, I show that – my criticism aside – the evil-god challenge turns out to be more complicated and controversial than it initially appears, for it relies on the (previously unacknowledged) contentious assumption that sceptical theism is false. (shrink)

Groups behave in a variety of ways. To show that this behavior amounts to action, it would be best to fit it into a general account of action. However, nearly every account from the philosophy of action requires the agent to have mental states such as beliefs, desires, and intentions. Unfortunately, theorists are divided over whether groups can instantiate these states—typically depending on whether or not they are willing to accept functionalism about the mind. But we can avoid this debate. (...) I show how a more general view of action captures what is central to action without mentioning mental states, and I argue that a group’s members can fulfill the role in group action that mental states play in our actions. Group behavior is explicable in terms of reasons, regardless of whether the group itself cognizes those reasons. After discussing the kind of reasons at issue and arguing that groups can act in light of them without minds, I assess how this account bears on the question of group responsibility. (shrink)

Skeptical theism is a popular response to arguments from evil. Recently, Matthew A. Benton, John Hawthorne, and Yoaav Isaacs have argued that the theses that ground skeptical theism are either false or limited in scope. In this article, I show that their objections rest on dubious assumptions about the nature of skeptical theism. Along the way, I develop and clarify the ambiguous parts of skeptical theism. The upshot of this is that—once the nature of skeptical theism is made clearer—it is (...) far more difficult to resist. (shrink)

In this paper, I consider Sterba’s recent criticism of skeptical theism in context of his argument from evil. I show that Sterba’s criticism of skeptical theism shares an undesirable trait with all past criticisms of skeptical theism: it fails. This is largely due to his focus on causal connections and his neglect of logical connections. Because of this, his argument remains vulnerable to skeptical theism.

I’ve argued that those who endorse the argument from divine hiddenness must give up all pure de jure objections to theism, and this means that endorsing the argument is costly for atheists. Benjamin Curtis claims that this isn’t a significant cost for atheists. I show that—contrary to Curtis—there is a significant cost, and spell out why this is so. Furthermore, I show that my argument functions as a new argument for affirming reformed epistemology—the view that if theism is true, belief (...) in God is probably rational. (shrink)

The pelvic exam is used to assess the health of female reproductive organs and so involves digital penetration by a physician. However, it is common practice for medical students to acquire experience in administering pelvic exams by performing them on unconscious patients without prior authorization. In this article, we argue that such unauthorized pelvic exams (UPEs) are sexual assault. Our argument is simple: in any other circumstance, unauthorized digital penetration amounts to sexual assault. Since there are no morally significant differences (...) between UPEs and other instances of digital penetration, UPEs are sexual assault. So, insofar as one is against sexual assault, one should be against UPEs. (shrink)

The evil-god challenge is a challenge for theists to show that belief in God is more reasonable than belief in evil-god. In this article, I show that whether or not evil-god exists, belief in evil-god is unjustified. But this isn’t the case for belief in God: belief in God is probably justified if theism is true. And hence belief in God is (significantly) more reasonable than belief in evil-god, and the evil-god challenge has been answered.

This paper is a response to Tyler Wunder’s ‘The modality of theism and probabilistic natural theology: a tension in Alvin Plantinga's philosophy’ (this journal). In his article, Wunder argues that if the proponent of the Evolutionary Argument Against Naturalism (EAAN) holds theism to be non-contingent and frames the argument in terms of objective probability, that the EAAN is either unsound or theism is necessarily false. I argue that a modest revision of the EAAN renders Wunder’s objection irrelevant, and that this (...) revision actually widens the scope of the argument. (shrink)

Conceptual engineers have made hay over the differences of their metaphilosophy from those of conceptual analysts. In this article, I argue that the differences are not as great as conceptual engineers have, perhaps rhetorically, made them seem. That is, conceptual analysts asking ‘What is X?’ questions can do much the same work that conceptual engineers can do with ‘What is X for?’ questions, at least if conceptual analysts self-understand their activity as a revisionary enterprise. I show this with a study (...) of Russell's metaphilosophy, which was just such a revisionary conception of conceptual analysis. (shrink)

I characterize and argue against the standard interpretation of logical atomism. The argument against this reading is historical: the standard interpretation of logical atomism (1) fails to explain how the view is inspired by nineteenth-century developments in mathematics, (2) fails to explain how logic is central to logical atomism, and (3) fails to explain how logical atomism is a revolutionary and new "scientific philosophy." In short, the standard interpretation is a bad history of logical atomism. A novel interpretation of the (...) view that repairs these difficulties is sketched in the concluding section. (shrink)

P-zombies are creatures that are physically (functionally, behaviourally) like you and I and yet lack phenomenal consciousness. If such creatures are possible, it’s (typically) taken to show property dualism is true: phenomenal consciousness isn’t reducible to – nor does it supervene on – physical states. If inverted qualia are possible, it’s possible that you and I have identical physical states and yet you see tomatoes as green and I see tomatoes as red. If this is the case, then (again) property (...) dualism is (typically) taken to be true. In this article, I???ll show that p-zombies and inverted qualia – if they are actually possible – prove more than previously thought: if one thinks p-zombies or inverted qualia are possible, then one should endorse one of the four following theses: (i) substance dualism, (ii) we have even more reason to reject p-zombies and inverted qualia since they entail an even more radical conclusion than previously thought (i.e. substance dualism), (iii) eliminativism about selves, or (iv) friends of p-zombies and inverted qualia have homework: they need to show a relevant, plausible disanalogy between arguments for p-zombies and inverted qualia as traditionally stated and my parallel arguments that entail substance dualism. My purpose here isn’t to defend any of these particular options. Instead, my purpose is to highlight that these are the four options available to take. (shrink)

Proponents of the explanatory indispensability argument for mathematical platonism maintain that claims about mathematical entities play an essential explanatory role in some of our best scientific explanations. They infer that the existence of mathematical entities is supported by way of inference to the best explanation from empirical phenomena and therefore that there are the same sort of empirical grounds for believing in mathematical entities as there are for believing in concrete unobservables such as quarks. I object that this inference depends (...) on a false view of how abductive considerations mediate the transfer of empirical support. More specifically, I argue that even if inference to the best explanation is cogent, and claims about mathematical entities play an essential explanatory role in some of our best scientific explanations, it doesn’t follow that the empirical phenomena that license those explanations also provide empirical support for the claim that mathematical entities exist. (shrink)

Should the state teach ethics? There is widespread disagreement on whether (and how) secular states should be in the business of promoting a particular moral viewpoint. This article attempts to schematize, and evaluate, these stances. It does so by posing three, simple questions: (1) Should the state explicitly promote certain ethical values over others? (2) Should the state have ultimate justifications for the values it promotes? (3) Should the state compel its citizens to accept these ultimate justifications? Logically, each question (...) in this series is a prerequisite for considering those questions further down the list. The result is that responses can be categorized into one of four possible permutations or ‘camps.’ These are: (1) The Libertarian (“No” to all three questions) (2) The Pluralist (“Yes” to question 1; “No” to questions 2 and 3) (3) The Rationalist Republican (“Yes” to questions 1 and 2; “No” to question 3) (4) The Rigorous Republican (“Yes” to all three questions) It will be shown that just one of these positions, the ‘rationalist republican,’ stands out from all the rest. For only the rationalist republican can account for a normative politics while also safeguarding the individual’s freedom of conscience. (shrink)

We examine the influence of word choices on mathematical practice, i.e. in developing definitions, theorems, and proofs. As a case study, we consider Euclid’s and Euler’s word choices in their influential developments of geometry and, in particular, their use of the term ‘polyhedron’. Then, jumping to the twentieth century, we look at word choices surrounding the use of the term ‘polyhedron’ in the work of Coxeter and of Grünbaum. We also consider a recent and explicit conflict of approach between Grünbaum (...) and Shephard on the one hand and that of Hilton and Pedersen on the other, elucidating that the conflict was engendered by disagreement over the proper conceptualization, and so also the appropriate word choices, in the study of polyhedra. (shrink)

Pardon powers are common but difficult to justify. A pardon power is, roughly, a power that is (a) possessed by a non-judicial official, (b) used to cancel legal liability to a criminal sanction in a particular case without thereby altering the law, and (c) unconstrained by law. So defined, pardon powers seem to be at odds with two constitutional principles. Contrary to the separation of powers, the pardon power gives to someone other than a judge a decisive role in determining (...) criminal liability in particular cases. Contrary to the rule of law, the pardon power is neither constrained nor ruled by law. -/- Here I provide a novel defence of pardon powers, in three steps. First, even an optimal legal code requires suboptimal results in some cases. In such cases there is a “gap” between what is required by the code we should have and what we should do absent that code. Adhering to the code in every gap case is undesirable: while it would avoid suboptimal results, it would create too much unpredictability. Deviating from the code in every gap case is also undesirable: while it would ensure predictability, it would produce too many suboptimal results. The best strategy is to adhere in some cases and to deviate in others, that is, to selectively deviate. The most important thing about selective deviation is that it leads to like cases being treated differently. This is the second step in the argument. Third, pardon powers are an appropriate vehicle for selective deviation. Selective deviation calls for a power that can be used to set aside the code without changing it. It calls for a power that can be used inconsistently. Moreover, it calls for a power that is not in the hands of a body institutionally disposed towards consistency in decision-making, such as the judiciary. That is, it requires a power with features (a)-(c) – a pardon power. -/- This argument overcomes the various objections to pardon powers. Contrary to the objection from the separation of powers, selective deviation is a task better carried out by non-judicial officials. Contrary to the objection from the rule of law, a power of selective deviation must be unconstrained to preserve the law’s guiding function. Overall, the features of pardon powers that seemed to be in tension with the separation of powers and the rule of law turn out to be favoured by those same principles. (shrink)

The ethics of abortion considers whether abortion is immoral. Pro-choice philosophers think that it is not immoral, while pro-life philosophers think that it is. The axiology of abortion considers whether world would be better if the pro-choice or pro-life position is right. While much attention has been given to the ethics of abortion, there has been no attention given to the axiology of abortion. In this article, I seek to change that. I consider various arguments for thinking our world would (...) be better if the pro-choice position or the pro-life position is correct, ultimately concluding that it would be better if the pro-choice position is right. This is unfortunate, however, since there is no good reason to think the pro-choice position is correct. (shrink)

An ongoing challenge within all approaches to ethical decision making is reducing the degree of doubt about what action is right, good, or at least better in a given situation. The process of moral discernment within Christian thought is no exception; however, different Christian communities tend to understand moral doubt and moral certainty differently, to pursue different ways of allaying doubt, and to expect—and accept—different degrees of moral certainty. Drawing especially from Aristotelian virtue theory, selected teachings from the Eastern Orthodox (...) tradition on humility, and recent discussions of the ‘grace of self-doubt,’ I sketch an account of virtuous moral doubt as a mean between the extremes of excessive and deficient moral doubt. My hope is doing so will help to make space and provide the framework for an ecumenical understanding of doubt’s proper role in moral discernment. (shrink)

Joona Räsänen, in his article ‘Ectogenesis, abortion and a right to the death of the fetus’, has argued for the view that parents have a right to the death of the fetus. In this article, I will explicate the three arguments Räsänen defends, and show that two of them have false or unmotivated premises and hence fail, and that the support he offers for his third argument is inconsistent with other views he expresses in his article. Therefore, I conclude that (...) there is no right to the death of the fetus—or, if there is one, Räsänen has not shown it. (shrink)

The subject’s perspective objection (SPO) is an objection against externalist theories of justification, warrant, and knowledge. In this article, I show that externalists can accommodate the SPO while remaining externalist. So, even if the SPO is successful, it does not motivate internalism, and the primary motivation for internalism has been lost. After this, I provide an explanation for why so many people find cases that motivate the SPO convincing.