Online research in philosophy

I hold that the considerations adduced in kalam cosmological arguments do not embody reasons for reflective atheists and agnostics to embrace the conclusion of those arguments, viz. that the universe had a cause of its existence. I do not claim to be able to show that reflective theists could not reasonably believe that those arguments are sound; indeed, I am prepared to concede that it is epistemically possible that the arguments procede validly from true premises. However, I am prepared to (...) make the same concession about the following argument: Either 2+2=5 or God exists; 2+2?5; therefore God exists . But nobody could think that this argument deserves to be called a proof of its conclusion (even if it is sound). Of course, this latter argument is obviously circular: (almost) no one who was not antecedently persuaded of the truth of the conclusion would (have reason to) believe the first premise. But this fact does not entail that admittedly non circular arguments, such as the kalam cosmological arguments, cannot fail to be equally dialectically ineffective. And, indeed, that is the view which I wish to defend: there is not the slightest reason to think that kalam cosmological arguments should be dialectically effective against reasonable and reflective opponents. (shrink)

Cosmological arguments attempt to prove the existence of God by appeal to the necessity of a first cause. Schematically, a cosmological argument will thus appear as: (1) All contingent beings have a cause of existence. (2) There can be no infinite causal chains. (3) Therefore, there must be some non-contingent First Cause. Cosmological arguments come in two species, depending on their justification of the second premiss. Non-temporal cosmological arguments, such as those of Aristotle and Aquinas, view causation as requiring explanatory (...) or conceptual priority, and thus insist that there can be no infinite regresses in such priority. Temporal cosmological arguments, also called kalam cosmological arguments due to their historical roots in Islamic kalam philosophers such as Abu Yusuf Ya'qub b. Ishaq al-Kindi and Abu Ali al-Hussain ibn Sina, view causation as requiring temporal priority, and thus insist that there can be no infinite temporal regresses.1 The kalam cosmological argument thus requires some supporting argument showing the incoherence of an infinite temporal regress of causally related events. William Lane Craig, in "The Finitude of the Past and the Existence of God"2, attempts to provide such an argument: (4) An actual infinite cannot exist. (5) An infinite temporal regress of events is an actual infinite. (6) Therefore an infinite temporal regress of events cannot exist. (9) I will not be concerned here with the general status of cosmological arguments, kalam or otherwise, or with contesting Craig's assumption that an infinite past would (unlike an infinite future) constitute a problematic actual infinity. I am rather concerned with Craig's general working principle, embodied in (4) above, that actual infinities are impossible. Craig, of course, is not alone in denying the possibility of the actually infinite. Resistance to such infinities is at least as old as Aristotle (Physics 3.5.204b1 – 206a8), and, as Craig rightly points out, persists through much of modern (i.e., post-scholastic, pre-twentieth-century) philosophy.. (shrink)

The first premise of the Kalam cosmological argument has come under fire in the last few years. The premise states that the universe had a beginning, and one of two prominent arguments for it turns on the claim that an actual infinite collection of entities cannot exist. After stating the Kalam cosmological argument and the two approaches to defending its first premise, I respond to two objections against the notion that an actual infinite collection is impossible: a Platonistic objection from (...) abstract objects and a set-theoretic objection from an ambiguity in the definition of ‘=’ and ‘. (shrink)

Craig (1981) presents and defends several different kalam cosmological arguments. The core of each of these arguments is the following ur argument.

J. Howard Sobel devotes seventy pages of his wide-ranging analysis of theistic arguments to a critique of the cosmological argument. Although the focus of that critique falls on the Leibnizian argument, he also offers in passing some criticisms of the kalam cosmological argument. Sobel does not challenge the causal premiss insofar as "begins to exist" means "has a first time of its existence." Rather he disputes the arguments and evidence for the fact of the universe's beginning. I show that Sobel's (...) rebuttals of the philosophical arguments against the infinitude of the past are in various ways misconceived or fallacious and that his response to the empirical evidence for the beginning of the universe involves a gratuitous and radical revision of contemporary astrophysical cosmogony. (shrink)