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)

I believe that Tom is the proud father of a baby boy. Why do I think his child is a boy? A natural answer might be that I remember that his name is ‘Owen’ which is usually a boy’s name. Here I’ve given information that might be part of a causal explanation of my believing that Tom’s baby is a boy. I do have such a memory and it is largely what sustains my conviction. But I haven’t given you just (...) any causally relevant information, I’ve given my grounds for my belief. I’ve given reasons that might justify me in supposing that Tom’s baby is a boy. Less naturally, the question might be taken as a request for a broader causal explanation of my holding this belief. Appropriate answers might cite all manner of facts concerning the evolution of the human race, why I chose to pursue philosophy and hence came to know Tom, the mechanisms of email transmission, the firing of various neurons, the circumstances of concept formation as a result of which I’m able to grasp the thought that Tom’s baby is a boy, and so on. It is an interesting question what distinguishes the narrower set of answers that I first suggested. I won’t pursue that here. I assume you have a good enough sense of the distinction I’m drawing. We might call the narrower set of answers justifying reasons, the kind of reasons I might cite in justifying my belief. Answers of the first sort are clearly relevant to epistemological evaluation. In assessing whether you know p or are rational in believing it to the degree you do, I will naturally want to consider what reasons you have for your belief. In deliberating myself about whether to believe p, in seeking an answer to the question of whether p, I will naturally consider what reasons or grounds I have to suppose that p. But what I want to focus on here is how explanations of the broader sort bear on such questions as whether to believe p. From a third-person perspective we can ask, ‘In assessing the epistemic status of S’s belief that p, what is the relevance of causal information that lies outside of the realm of justifying reasons?’ From the first-person standpoint we can ask ‘In seeking to answer whether p, how should such causal information affect my deliberations?’ At first it might seem that such broader causal information could have little relevance if any. Like any belief my belief that p can be traced back to innumerable causes from far and wide.. (shrink)

This paper argues, first, that biological evolution can be both random and divinely guided at the same time. Next it discusses the idea that the claim that evolution is unguided is not part of the science of evolution, and defends it against a number of objections.

_ Source: _Volume 7, Issue 2, pp 69 - 90 It is often claimed that, as a result of scientific progress, we now _know_ that the natural world displays no design. Although we have no interest in defending design hypotheses, we will argue that establishing claims to the effect that we know the denials of design hypotheses is more difficult than it seems. We do so by issuing two skeptical challenges to design-deniers. The first challenge draws inspiration from radical skepticism (...) and shows how design claims are at least as compelling as radical skeptical scenarios in undermining knowledge claims, and in fact probably more so. The second challenge takes its cue from skeptical theism and shows how we are typically not in an epistemic position to rule out design. (shrink)

This paper argues, first, that biological evolution can be both random and divinely guided at the same time. Next it discusses the idea that the claim that evolution is unguided is not part of the science of evolution, and defends it against a number of objections.

Richard Boyd and Nicholas Sturgeon develop distinctive naturalistic arguments for scientific realism and moral realism. Each defends a realist position by an inference to the best explanation. In this paper, I suggest that these arguments for realism should be reformulated, with the law of likelihood replacing inference to the best explanation. The resulting arguments for realism do not work.

This article focuses on a case that expert practitioners count as an explanation: a mathematical account of Plateau’s laws for soap films. I argue that this example falls into a class of explanations that I call abstract explanations.explanations involve an appeal to a more abstract entity than the state of affairs being explained. I show that the abstract entity need not be causally relevant to the explanandum for its features to be explanatorily relevant. However, it remains unclear how to unify (...) abstract and causal explanations as instances of a single sort of thing. I conclude by examining the implications of the claim that explanations require objective dependence relations. If this claim is accepted, then there are several kinds of objective dependence relations. 1 Introduction2 A Case3 Abstract and Causal Explanations4 Recent Work on Mathematical Explanation5 Explanation and Dependence6 Conclusion. (shrink)

By focussing on the logical relations between scientific theories and religious beliefs in his book Where the Conflict Really Lies, Alvin Plantinga overlooks the real conflict between science and religion. This conflict exists whenever religious believers endorse positive factual claims to truth concerning the supernatural. They thereby violate an important rule of scientific method and of common sense, according to which factual claims should be endorsed as true only if they result from validated epistemic methods or sources.

Epistemological objections to moral realism allege that realism entails moral skepticism. Many philosophers have assumed that theistic moral realists can easily avoid such objections. In this article, I argue that things are not so easy: theists run the risk of violating an important constraint on replies to epistemological objections, according to which replies to such objections may not rely on substantive moral claims of a certain kind. Yet after presenting this challenge, I then argue that theists can meet it, successfully (...) replying to the objections without relying on the problematic kinds of substantive moral claims. Theists have a distinctive and plausible reply to epistemological objections to moral realism. (shrink)

How to reconcile the theory of evolution with existing religious beliefs has occupied minds since Darwin's time. The majority of the discourse on the subject is still focused on the Darwinian version of evolutionary theory, or at best, the mid-twentieth century version of the Modern Synthesis. However, evolutionary thought has moved forward since then with the insights provided by the advent of comparative genomics in recent decades having a particularly significant impact. A theology that successfully incorporates evolutionary biology needs to (...) take such developments into account, because range of truly viable options among the many versions of theistic evolution that have been proposed in the past may narrow down when this is done. Here I present these previously underappreciated strains of contemporary evolutionary thought and discuss their potential theological impact. (shrink)

A main thread of the debate over mathematical realism has come down to whether mathematics does explanatory work of its own in some of our best scientific explanations of empirical facts. Realists argue that it does; anti-realists argue that it doesn't. Part of this debate depends on how mathematics might be able to do explanatory work in an explanation. Everyone agrees that it's not enough that there merely be some mathematics in the explanation. Anti-realists claim there is nothing mathematics can (...) do to make an explanation mathematical ; realists think something can be done, but they are not clear about what that something is. I argue that many of the examples of mathematical explanations of empirical facts in the literature can be accounted for in terms of Jackson and Pettit's [1990] notion of program explanation, and that mathematical realists can use the notion of program explanation to support their realism. This is exactly what has happened in a recent thread of the debate over moral realism. I explain how the two debates are analogous and how moves that have been made in the moral realism debate can be made in the mathematical realism debate. However, I conclude that one can be a mathematical realist without having to be a moral realist. (shrink)

This paper details how ghost hunting, as a set of learning activities, can be used to enhance critical thinking and philosophy of science classes. We describe in some detail our own work with ghost hunting, and reflect on both intended and unintended consequences of this pedagogical choice. This choice was partly motivated by students’ lack of familiarity with science and philosophic questions about it. We offer reflections on our three different implementations of the ghost hunting activities. In addition, we discuss (...) the practical nuances of implementing these activities, as well the relation of ghost hunting to our course content, including informal fallacies and some models for scientific inference. We conclude that employing ghost hunting along-side traditional activities and content of critical thinking and philosophy of science offers a number of benefits, including being fun, increasing student attendance, enhancing student learning, and providing a platform for campus wide dialogues about philosophy. (shrink)