Raphael Lataster and Herman Philipse present an argument which they think decisively demonstrates polytheism over monotheism, if theism is assumed. Far from being decisive, the argument depends on very controversial and likely false assumptions about how to treat infinities in probability. Moreover, these problems are well known. Here, we focus on three objections. First, the authors rely on both countable additivity and the Principle of Indifference, which contradict each other. Second, the authors rely on a particular way of dividing up (...) the possibility space, when there are equally as reasonable alternative divisions which give different answers to the one the authors arrived at. Third, the authors’ argument proves too much, giving us an argument against many positions we should not be able to argue against so easily. (shrink)

Collins (The Blackwell companion to natural theology, 2009) presents an argument he calls the ‘core fine-tuning argument’. In this paper, I show that Collins’ argument is flawed in at least two ways. First, the structure, depending on likelihoods, fails to establish anything about the posterior probability of God’s existence given fine-tuning. As an argument for God’s existence, this is a serious failing. Second, his analysis of what is appropriately restricted background knowledge, combined with the credences of a specially chosen ‘alien’, (...) do not allow him to establish the premise \( \Pr (LPU \mid NSU~ \& ~k') \ll 1\). (shrink)

Roger White (God and design, Routledge, London, 2003) claims that while the fine-tuning of our universe, $\alpha $ , may count as evidence for a designer, it cannot count as evidence for a multiverse. First, I will argue that his considerations are only correct, if at all, for a limited set of multiverses that have particular features. As a result, I will argue that his claim cannot be generalised as a statement about all multiverses. This failure to generalise, I will (...) argue, is also a feature of design hypotheses. That is, design hypotheses can likewise be made insensitive or sensitive to the evidence of fine-tuning as we please. Second, I will argue that White is mistaken about the role that this evidence plays in fine-tuning discussions. That is, even if the evidence of fine-tuning appears to support one particular hypothesis more strongly than another, this does not always help us in deciding which hypothesis to prefer. (shrink)