Ibrahim Dagher

One of William Lane Craig's key arguments for the finitude of the past is the Successive Addition Argument (SAA). Malpass (2021) has recently developed a novel challenge to the SAA, utilising a thought experiment from the work of Fred Dretske, which is meant to show that it is possible to count to infinity, to argue that there is a counterexample to the SAA's second premise. In this paper, I contend that the Malpass‐Dretske counterexample should not worry advocates of the SAA. First, I argue that one objection Malpass considers—the Potential Infinite Objection—reveals an interesting fact: the SAA's second premise is unnecessarily strong and can be weakened whilst still yielding the same conclusion. Second, I show how another one of the objections considered by Malpass—the Accumulation Objection—is successful, provided some clarification to the SAA's premises. The upshot of both analyses is that we generate two ‘new’ Successive Addition arguments that not only move the dialectic forward, but shed light on deeper assumptions and motivating intuitions concerning the Kalām.

Causal finitism, the view that the causal history of any event must be finite, has garnered much philosophical interest recently—especially because of its applicability to the Kalām cosmological argument. The most prominent argument for causal finitism is the Grim Reaper argument, which attempts to show that, if infinite causal histories are possible, then other paradoxical states of affairs must also be possible. However, this style of argument has been criticized on the grounds of (i) relying on controversial modal principles, and (ii) providing a false diagnosis of the paradoxes involved. In this paper, I develop a new kind of Grim Reaper argument immune to these criticisms. I show that, by using insights from the literature on time travel, causal finitists should instead argue that infinite causal histories are problematically inexplicable, as they entail the possibility of unexplained foiling mechanisms. The fruits of this paper are that (i) a novel supporting argument for the Kalām is developed, and (ii) along the way of building this argument, it is shown that the literatures on time travel and causal finitism are deeply and intimately connected.

The Successive Addition Argument (SAA) is one of the key arguments espoused by William Lane Craig for the thesis that the universe began to exist. Recently, Malpass, Mind, 131(523), 786–804 (2021) has developed a challenge to the SAA by way of constructing a counterexample that originates in the work of Fred Dretske. In this paper, I show that the Malpass-Dretske counterexample is in fact no counterexample to the argument. Utilizing a distinction between properties of members and properties of collections, I argue that Malpass’ counterexample has no bearing on the soundness of the SAA. I also develop a novel parity argument against Malpass’ argument that I demonstrate can only be resolved by way of the aforementioned analysis.

It is a common intuition in scientific practice that positive instances confirm. This confirmation, at least based purely on syntactic considerations, is what Nelson Goodman’s ‘Grue Problem’, and more generally the ‘New Riddle’ of Induction, attempt to defeat. One treatment of the Grue Problem has been made along Bayesian lines, wherein the riddle reduces to a question of probability assignments. In this paper, I consider this so-called Bayesian Grue Problem and evaluate how one might proffer a solution to this problem utilizing what I call a phenomenological approach. I argue that this approach to the problem can be successful on the Bayesian framework.

Often, semantic accounts of ethical statements wherein those statements have their truth-conditions linked in some capacity to the mental state of an agent face the difficulty of explaining how it is that moral agents and communities genuinely disagree. However, there are––I shall argue––such semantic theories of ethical statements we can construct that avoid this explanatory deficit, insofar as they are both absolute and dispositional theories. In this paper, I will (i) explore and analyze one such semantic theory, Roderick Firth (1952)’s ‘ideal observer theory’, and its relation to the problem of genuine moral disagreement, and (ii) argue that the theory successfully accounts for genuine moral disagreement in virtue of its being absolute and dispositional.