RT Article T1 The problem of invoking infinite polytheisms: a response to Raphael Lataster and Herman Philipse JF International journal for philosophy of religion VO 82 IS 3 SP 289 OP 298 A1 Saward, Mark Douglas LA English YR 2017 UL https://ixtheo.de/Record/1567861458 AB 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. K1 Argument K1 Argument from infinitely many alternatives K1 Lataster, Raphael K1 Monotheism K1 PHILIPSE, Herman K1 Polytheism K1 Theism DO 10.1007/s11153-016-9585-y