In this paper, I draw attention to various doctrines common to different Vedāntic traditions. In particular, I pay close attention to the doctrine of beginningless _karman_. I also note that this doctrine seems to stand in tension with Leibnizian Cosmological Arguments (LCAs) and Kalām Cosmological Arguments (KCAs). This tension arises because defenders of these arguments argue that an infinite causal regress or an actual infinite cannot be physically instantiated and because the doctrine of beginningless _karman_ seems to imply that such (...) a regress or actual infinite can be physically instantiated. I address this tension by showing that not all interpretations of beginningless _karman_ involve an infinite causal regress or an actual infinite. I close this paper by highlighting a few features that Vedāntic traditions have that make them more resistant to some objections to LCAs and KCAs. (shrink)

While there has been much work on cosmological arguments, novel objections will be presented against the modern day rendition of the Kalām cosmological argument as standardly articulated by William Lane Craig. The conclusion is reached that this cosmological argument and several of its variants do not lead us to believe that there is inevitably a supernatural cause to the universe. Moreover, a conditional argument for atheism will be presented in light of the Big Bang Theory.

EXPANDED EDITION (eBook): -/- Infinity Is Not What It Seems...Infinity is commonly assumed to be a logical concept, reliable for conducting mathematics, describing the Universe, and understanding the divine. Most of us are educated to take for granted that there exist infinite sets of numbers, that lines contain an infinite number of points, that space is infinite in expanse, that time has an infinite succession of events, that possibilities are infinite in quantity, and over half of the world’s population believes (...) in a divine Creator infinite in knowledge, power, and benevolence. -/- According to this treatise, such assumptions are mistaken. In reality, to be is to be finite. The implications of this assessment are profound: the Universe and even God must necessarily be finite. -/- The author makes a compelling case against infinity, refuting its most prominent advocates. Any defense of the infinite will find it challenging to answer the arguments laid out in this book. But regardless of the reader’s position, FOREVER FINITE offers plenty of thought-provoking material for anyone interested in the subject of infinity from the perspectives of philosophy, mathematics, science, and theology. -/- This electronic edition of FOREVER FINITE is offered free online for all and is expanded with content that does not appear in the published edition due to print production page limitations. From the Introduction to the Conclusion, Chapters 1–27 are identical to the published print edition, including the page numbering for the chapters. This electronic edition adds an appendix and associated content—specifically, updates to the book’s back matter (68 new endnotes, 17 new bibliographic references, 3 new figure credits, 14 new glossary terms) and front matter (an updated table of contents and this preface note). (shrink)

"The debate recorded in al-Ghazālī's Incoherence of the Philosophers, and Ibn Rushd's response in Incoherence of the Incoherence, is one of the most philosophically interesting events in the history of classical Islamic thought. Here, the cutting edge of Ghazālī's searching critique meets the depth of Ibn Rushd's philosophical insight in a clash over the innovative synthesis of Aristotelian and Neo-Platonic thought represented chiefly by Ibn Sīnā. This critical commentary closely analyses and evaluates the arguments deployed by all three parties in (...) the debate, wherein are raised questions about the origin of the universe and the reality of time, possibility, causality, and nature. Where opportunities arise, it actively engages in the discussion by suggesting alternative arguments and philosophical directions. It goes beyond the cliché construal of the Incoherence debate as simply a conflict between faith and reason, exposing it as a genuinely philosophical enterprise and a potential source of fresh perspectives on contemporary discussions in metaphysics and analytic theology"--. (shrink)

Wes Morriston contends that William Lane Craig's argument for the impossibility of a beginningless past results in an equally good argument for the impossibility of an endless future. Craig disagrees. I show that Craig's reply reveals a commitment to an unmotivated position concerning the relationship between actuality and the actual infinite. I then assess alternative routes to the impossibility of a beginningless past that have been offered in the literature, and show that, contrary to initial appearances, these routes similarly seem (...) to support the impossibility of an endless future. (shrink)

Puryear develops an objection against a prominent attempt to show that the universe must have a temporal beginning. Here I formulate a reply.

In reply to certain cosmological arguments for theism, critics regularly argue that the causal principle ex nihilo nihil fit may be false. Various theistic counter-replies to this challenge have emerged. One type of strategy is to double down on ex nihilo nihil fit. Another, very different strategy of counter-reply is to grant for the sake of argument that the principle is false, while maintaining that sound cosmological arguments can be formulated even with this concession in place. Notably, one can employ (...) a weaker opening premise formulated in modal terms, proceeding for instance from the proposition that for any contingent object coming into existence it is at least possible that it have a cause. My aim here is to try out a related strategy for weakening the relevant opening premise. Granting that it is possible for a contingent object to come into existence out of nothing without a cause, I proceed from the extremely modest claim that the obtaining of exceptionless longstanding contingent regularities demands an explanation. As such, the contingent regularity that empirically accessible macro-level contingent objects do not pop into existence causelessly demands explanation. And as it turns out, that explanation will have to be in terms of an object or objects possessed of at least some of the traditional divine attributes. (shrink)

Philosophers have long discussed whether time really passes. Simultaneously, they have also discussed whether time could have begun from an infinite past. This paper clarifies the relationship between the reality of time’s passage and an infinite past. I assert that time cannot have an infinite past if time really passes. This argument is based on a proposition that an infinite series of events cannot be completed if time really passes. A seemingly strong objection to this proposition is that no movement (...) is possible if an infinite series cannot be completed. However, movement is clearly possible; thus, an infinite series can be completed. I argue that although it is sure that an infinite series can be completed in the static view, an infinite series cannot be completed (and thus, time could not have begun from an infinite past) in the dynamic view. (shrink)

The Successive Addition Argument (SAA) is one of the arguments proposed by the defenders of the Kalām Cosmological Argument to support the claim that the universe has a beginning. The main premise of SAA states that a collection formed by successive addition cannot be an actual infinite. This premise is challenged by an argument originally proposed by Fred Dretske. According to Dretske’s Argument (DA), the scenario of a counter who starts counting numbers and never stops can provide a counterexample to (...) the main premise of SAA. I argue that neither DA nor its past-oriented counterpart—which discusses the scenario of a counter who has always been counting negative integers from the infinite past—can play a decisive role in our evaluation of the strength of the arguments that are intended to establish the finitude of the past based on the impossibility of an actually infinite number of successive additions. (shrink)

ABSTRACTStephen Puryear argues that William Lane Craig's view, that time as duration is logically prior to the potentially infinite divisions that we make of it, involves the idea that time is prior to any parts we conceive within it. He objects that PWT entails the Priority of the Whole with respect to Events, and that it subverts the argument, used by proponents of the Kalam Cosmological Argument such as Craig, against an eternal past based on the impossibility of traversing an (...) actual infinite sequence of events. I argue that proponents of KCA can affirm that time is not discrete, nor is it continuous with actual infinite number of parts or points, but rather that it is a continuum with various parts yet without an actual infinite number of parts or points. I defend this view, and I reply to Puryear's other objections. (shrink)

Erasmus and Verhoef suggest that a promising response to the infinite God objection to the Kalām cosmological argument include showing that abstract objects do not exist; actually infinite knowledge is impossible; and redefining omniscience as : for any proposition p, if God consciously thinks about p, God will either accept p as true if and only if p is true, or accept p as false if and only if p is false. I argue that there is insufficient motivation for showing (...) and and that is problematic as a definition of omniscience. (shrink)

The kalām cosmological argument proceeds from the claims that everything with a beginning has a cause of its existence, and that the universe has a beginning. It follows that the universe has a cause of its existence. Presumably, this cause is God. Some defenders of the argument contend that, since we don’t see things randomly coming into existence, we know from experience that everything with a beginning has a cause of its existence. Against this, some critics argue that we may (...) not legitimately move from observations of material things within the universe to conclusions about the universe itself. I argue that these critics are mistaken. We can after all draw cosmic conclusions from everyday experiences in support of the kalām argument. (shrink)

On the orthodox interpretation of bounce cosmologies, a preceding universe was compressed to a small size before “bouncing” to form the present expanding universe. William Lane Craig and James Sinclair have argued that the orthodox interpretation is incorrect if the entropy reaches a minimum at the bounce. In their view, the interface between universes represents the birth of two expanding universes, i.e., a “double bang” instead of a “big bounce”. Here, I reply to Craig and Sinclair in defense of the (...) orthodox interpretation. Contrary to their interpretation, features of one universe explain features of the other universe and so must precede the other universe in time. Moreover, contrary to a crucial part of Craig and Sinclair’s interpretation, there are bounce cosmologies in which the thermodynamic arrow of time is continuous through the bounce even though the entropy is “reset” at the bounce. (shrink)

We draw out significant consequences of a relatively popular theory of metaphysical modality—branching actualism—for cosmological arguments for God’s existence. According to branching actualism, every possible world shares an initial history with the actual world and diverges only because causal powers (or dispositions, or some such) are differentially exercised. We argue that branching actualism undergirds successful responses to two recent cosmological arguments: the Grim Reaper Kalam argument and a modal argument from contingency. We also argue that branching actualism affords a response (...) to one popular defense of the classic contingency argument. What results are new difficulties for several cosmological arguments arising from the metaphysics of modality. (shrink)

The second premise of the Kalām cosmological argument, as defended by William Lane Craig, has two supporting arguments; the Hilbert’s Hotel argument and the suc.

I argue that the existence of a necessary concrete being can be derived from an exceedingly weak causal principle coupled with two contingent truths one of which falls out of very popular positions in contemporary analytic metaphysics. I then show that the argument resists a great many objections commonly lodged against natural theological arguments of the cosmological variety.

Many philosophers have argued that the past must be finite in duration because otherwise reaching the present moment would have involved something impossible, namely, the sequential occurrence of an actual infinity of events. In reply, some philosophers have objected that there can be nothing amiss in such an occurrence, since actually infinite sequences are ‘traversed’ all the time in nature, for example, whenever an object moves from one location in space to another. This essay focuses on one of the two (...) available replies to this objection, namely, the claim that actual infinities are not traversed in nature because space, time, and other continuous wholes divide into parts only in so far as we divide them in thought, and thus divide into only a finite number of parts. I grant that this reply succeeds in blunting the anti-finitist objection, but I argue that it also subverts the very argument against an eternal past that it was intended to save. (shrink)

Some philosophers contend that the past must be finite in duration, because otherwise reaching the present would have involved the sequential occurrence of an actual infinity of events, which they regard as impossible. I recently developed a new objection to this finitist argument, to which Andrew Ter Ern Loke and Travis Dumsday have replied. Here I respond to the three main points raised in their replies.

This article evaluates the discussion concerning the relationship between the Kalām Cosmological Argument and Divine Omniscience in recent articles in Sophia, 263–272, 2016; Erasmus Sophia, 57, 151–156, 2018a). I argue that, in his latest article, Erasmus is guilty of shifting the focus of the discussion from the KCA to the Infinity Argument. I contribute to the discussion by replying to the four difficulties Erasmus Sophia, 57, 151–156, mentions against my defence of the notion that God has an undivided intuition of (...) all reality. I show that Erasmus has failed to allay the worry that the redefinition of omniscience by Erasmus and Verhoef is unmotivated and problematic. (shrink)

Intuitively, the totality of physical reality—the Cosmos—has a beginning only if (i) all parts of the Cosmos agree on the direction of time (the Direction Condition) and (ii) there is a boundary to the past of all non-initial spacetime points such that there are no spacetime points to the past of the boundary (the Boundary Condition). Following a distinction previously introduced by J. Brian Pitts, the Boundary Condition can be conceived of in two distinct ways: either topologically, i.e., in terms (...) of a closed boundary, or metrically, i.e., in terms of the Cosmos having a finite past. This article proposes that the Boundary Condition should be posed disjunctively, modifies and improves upon the metrical conception of the Cosmos’s beginning in light of a series of surprising yet simple thought experiments, and suggests that the Direction and Boundary Conditions should be thought of as more fundamental to the concept of the Cosmos’s beginning than classical Big Bang cosmology. (shrink)

Many physicists have thought that absolute time became otiose with the introduction of Special Relativity. William Lane Craig disagrees. Craig argues that although relativity is empirically adequate within a domain of application, relativity is literally false and should be supplanted by a Neo-Lorentzian alternative that allows for absolute time. Meanwhile, Craig and co-author James Sinclair have argued that physical cosmology supports the conclusion that physical reality began to exist at a finite time in the past. However, on their view, the (...) beginning of physical reality requires the objective passage of absolute time, so that the beginning of physical reality stands or falls with Craig's Neo-Lorentzian metaphysics. Here, I raise doubts about whether, given Craig's NeoLorentzian metaphysics, physical cosmology could adequately support a beginning of physical reality within the finite past. Craig and Sinclair's conception of the beginning of the universe requires a past boundary to the universe. A past boundary to the universe cannot be directly observed and so must be inferred from the observed matter-energy distribution in conjunction with auxilary hypotheses drawn from a substantive physical theory. Craig's brand of Neo Lorentzianism has not been sufficiently well specified so as to infer either that there is a past boundary or that the boundary is located in the finite past. Consequently, Neo Lorentzianism implicitly introduces a form of skepticism that removes the ability that we might have otherwise had to infer a beginning of the universe. Furthermore, in analyzing traditional big bang models, I develop criteria that Neo-Lorentzians should deploy in thinking about the direction and duration of time in cosmological models generally. For my last task, I apply the same criteria to bounce cosmologies and show that Craig and Sinclair have been wrong to interpret bounce cosmologies as including a beginning of physical reality. (shrink)

This paper considers two problems -- one in philosophy of religion and another in philosophy of physics -- and shows that the two problems have one solution. Some Christian philosophers have endorsed the views that (i) there was a first finitely long period of time, (ii) God is in time, and yet (iii) God did not have a beginning. If there was a first finitely long period of time and God is in time then there was a first finitely long (...) period of time in God's life. But if God's life includes a first finitely long period of time, then, on one initially intuitive conception of beginning to exist, God began to exist. Thus, at first glance, (i)-(iii) are not mutually compatible. Meanwhile, on a variety of proposals for quantum gravity theories or interpretations of quantum theory, space-time is not fundamental to physical reality and instead can (somehow) be explained in terms of yet more fundamental physical substructures. As I show, there is a strong intuition that if space-time is not fundamental to physical reality, then, even if there were a first finitely long period in the life of physical reality, physical reality would be beginningless. Thus, both theistic philosophers and philosophers of physics have developed theories on which some beginningless entities have a first finitely long temporal period in their lives and so both groups should be interested in developing criteria that distinguish such entities from entities with a beginning. In this paper, I offer one necessary (but not sufficient) condition, namely, that entities that begin to exist are absent from the closest possible worlds without time. The view that I defend has one significant upshot: no sound argument can use the mere fact (if it is a fact) that past time is finite to reach the conclusion that the totality of physical reality had a beginning. (shrink)

William Lane Craig's defence of the kalam cosmological argument rests heavily on two philosophical arguments against a past-eternal universe. In this article I take issue with one of these arguments, what I call the – namely, that the metaphysical absurdity of an actually infinite number of things existing precludes the possibility of a beginningless past. After explaining this argument, I proceed to raise some initial doubts. After setting those aside, I show that the argument is ineffective against proponents of presentism. (...) The remainder of the article considers and rejects possible replies on Craig's behalf. (shrink)

Huduth argument (in contemporary Western philosophy known as Kalam Cosmological argument) is an argument for the existence of God which rests on the idea that the universe has a beginning in time. Some theists have claimed that modern science, particularly modern cosmology and second law of thermodynamics supports the key premise of the argument which argues that universe began to exist. On the other hand, some atheists have claimed that Quantum Mechanics have demonstrated that particles can be created without cause (...) falsifying the causal principle of the Kalam cosmological argument which states that everything that begins to exist has a cause. In this article we will evaluate these claims and try to determine what modern science has to say about this argument developed by medieval Muslim theologians. (shrink)

In a recent paper published in 2020, Alex Malpass & Wes Morriston discuss the difference between beginningless past and an endless future and try to show that beginningless series of past events and an endless series of future ones are in the same boat. So if (as they believe) an endless series of events is possible, then the possibility of a beginningless series of past events should not be rejected merely on the ground that it would be an actual infinite. (...) I will show in this paper that Malpass and Morriston’s refutations are flawed and that their argument does not provide any evidence that a beginningless past is possible. (shrink)

Contemporary epistemology of religion may conveniently be treated as adebate over whether evidentialism applies to thebelief-component of religious faith, or whether we should insteadadopt a more permissive epistemology. Here evidentialism is theinitially plausible position that a belief is justified only if``it is proportioned to the evidence''. For example, supposea local weather forecaster has noticed that over the two hundred yearssince records began a wetter than average Winter is followed in 85% ofcases by a hotter than average Summer. Then, assuming for (...) simplicitythat the records are reliable, the forecaster is justified in believingwith less than full confidence that this Winter, which is wetter thanaverage, will be followed by a hotter than average Summer. Butevidentialism implies that it would not be justified to have fullbelief, that is belief with 100% confidence. Again, consider someonewho has a hunch that this Summer will be hotter than averagebut cannot justify that hunch further. Hunches are not consideredevidence, so the belief is not considered justified. If, however, thehuncher can cite a good track record of hunches about the weather thathave turned out correct then the belief would be consideredjustified. For although hunches are not considered evidence, memoriesabout past hunches are, as are the observations that corroborated thepast hunches. (shrink)