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.

Part of the kalam cosmological argument draws upon the claim that an actual infinite cannot exist. Classical theists also maintain both that some individuals will earn eternal life and that God infallibly foreknows the future. The claim that these latter two theses do not require that an actual infinite exists because God possesses an intuitive, rather than propositional intellect, is examined and rejected. Although the future is potential, rather than actual, classical theism requires that the future be, in (...) a sense, actually infinite. (shrink)

This paper is a reply to Professor William Lane Craig's “Graham Oppy On The kalām Cosmological Argument” Sophia 32.1, 1993, pp. 1–11. Further references to the literature are contained therein.

ABSTRACTIn the late 1970s the big bang model of cosmology was widely accepted and interpreted as implying the universe had a beginning. At the end of that decade William Lane Craig revived an argument for God known as the Kalam Cosmological Argument based on this scientific consensus. Furthermore, he linked the big bang to the supposed biblical concept of creation ex nihilo found in Genesis. I shall critique Craig's position as expressed in a more recent update and (...) argue that contemporary cosmology no longer understands the big bang as the ultimate beginning, seriously undermining the KCA. I will further contend that book of Genesis should not be understood as describing creation ex nihilo anyway. (shrink)

This paper examines the Kalam Cosmological Argument, as expounded by,William Lane Craig, insofar as it pertains to the premise that it is metaphysically impossible for an infinite set of real entities to exist. Craig contends that this premise is justified because the application of the Cantorian theory to the real world generates counterintuitive absurdities. This paper shows that Craig’s contention fails because it is possible to apply Cantorian theory to the real world without thereby generating counterintuitive absurdities, provided (...) one avoids positing that an infinite set of real entities is technically a set within the meaning of such theory. Accordingly, this paper proposes an alternative version of the application of Cantorian theory to the real world thereby replacing the standard version of such application so thoroughly criticized by Craig. (shrink)

William Lane Craig has revived interest in the medieval kalām argument to the point where it is now one of the most discussed arguments for God’s existence in the secondary literature. Still, the reception of Craig’s argument among philosophers of religion has been mostly critical. In the interest of developing an argument that more philosophers of religion would be inclined to support, I will lay the philosophical groundwork for a new kalām cosmological argument that, in contrast (...) with Craig’s argument, does not adopt such controversial positions as the dynamic theory of time and the metaphysical impossibility of an actual infinite. (shrink)

In ‘Professor Mackie and the Kalam Cosmological Argument’ , 367–75), Professor William Lane Craig undertakes to demonstrate that J. L. Mackie's analysis of the kalam cosmological argument in The Miracle of Theism is ‘superficial’, and that Mackie ‘has failed to provide any compelling or even intuitively appealing objection against the argument’ . I disagree with Craig's judgement; for it seems to me that the considerations which Mackie advances do serve to refute the kalam cosmological (...) argument. Consequently, the purpose of this paper is to reply to Craig's criticisms on Mackie's behalf. (shrink)

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

This paper begins with a fairly careful and detailed discussion of the conditions under which someone who presents an argument ought to be prepared to concede that the argument is unsuccessful. The conclusions reached in this discussion are then applied to William Lane Craig’s defense of what he calls “the kalam cosmological argument.” Perhaps unsurprisingly, the chief contention of the paper is that Craig ought to be prepared to concede that “the kalam cosmological argument” (...) is not a successful argument. The paper pays particular attention to Craig’s recent criticisms of Adolf Grünbaum’s contention that “the kalam cosmological argument” presupposes “the normalcy of nothingness”; and it also addresses some methodological issues raised by Craig’s response to my previous criticisms of his replies to critiques of “the kalam cosmological argument” provided by Grünbaum, Hawking, and Davies. (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)

Kalam cosmological arguments have recently been the subject of criticisms, at least inter alia, by physicists---Paul Davies, Stephen Hawking---and philosophers of science---Adolf Grunbaum. In a series of recent articles, William Craig has attempted to show that these criticisms are “superficial, iII-conceived, and based on misunderstanding.” I argue that, while some of the discussion of Davies and Hawking is not philosophically sophisticated, the points raised by Davies, Hawking and Grunbaum do suffice to undermine the dialectical efficacy of kalam cosmological (...) arguments. (shrink)

William Lane Craig has argued that there cannot be actual infinities because inverse operations are not well-defined for infinities. I point out that, in fact, there are mathematical systems in which inverse operations for infinities are well-defined. In particular, the theory introduced in John Conway's *On Numbers and Games* yields a well-defined field that includes all of Cantor's transfinite numbers.

An application of some recent work on the science of generic thought.

A simple solution to the problem of time is proposed by postulating that if the Universe is time-like, stationary, and bounded then it could be divided into static temporal gradations or contours. Hence, an energy diffusion flux (EDF) equation was established from which the Planck and the Hubble times have been derived. It is then found that time is unimportant after applying Gauss's Law on EDF when looking for a characteristic length of the Universe א. An uncertainty rule was also (...) found that may limit our simultaneous information between the scope of looking into space and the masses that it comprises. The paper concludes that if the Universe was in a stationary state and bounded, then, it did not begin to exist when compared to a vast and, probably, timeless Background. It appears to begin to exist because the information is largely mediated by optics. Thus, time is more epistemological in nature rather than ontological because of the limit that light imposes against instantaneous access to information. For this reason, the beginninglessness of the Universe should not preclude one from saying that the Universe does have a cause. (shrink)

This is a review of *The Kalām Cosmological Argument* (edited by Paul Copan and William Lane Craig). In this review, I focus primarily on the papers in the first volume by Waters, Loke, and Oderberg. (I have also written an independent review of the second volume.).

This is a commissioned review of Copan, P. and Craig, W. The Kalām Cosmological Argument Volume Two: Scientific Evidence for the Beginning of the Universe New York: Bloomsbury, US$172.50, ISBN 978-1-50-133587-7.

Hypotheses about the shape of causal reality admit of both theistic and non-theistic interpretations. I argue that, on the simplest hypotheses about the causal shape of reality—infinite regress, contingent initial boundary, necessary initial boundary—there is good reason to suppose that non-theism is always either preferable to, or at least the equal of, theism, at least insofar as we restrict our attention merely to the domain of explanation of existence. Moreover, I suggest that it is perfectly proper for naturalists to be (...) undecided between these simple hypotheses about the causal shape of reality: contrary to the proponents of cosmological arguments, there are no decisive objections to any of these simple hypotheses. (I argue this case in detail in connection with objections offered by William Lane Craig; however, I believe that the case holds quite generally.). (shrink)

Hypotheses about the shape of causal reality admit of both theistic and non-theistic interpretations. I argue that, on the simplest hypotheses about the causal shape of reality—infinite regress, contingent initial boundary, necessary initial boundary—there is good reason to suppose that non-theism is always either preferable to, or at least the equal of, theism, at least insofar as we restrict our attention merely to the domain of explanation of existence. Moreover, I suggest that it is perfectly proper for naturalists to be (...) undecided between these simple hypotheses about the causal shape of reality: contrary to the proponents of cosmological arguments, there are no decisive objections to any of these simple hypotheses. (I argue this case in detail in connection with objections offered by William Lane Craig; however, I believe that the case holds quite generally.). (shrink)

Abū Ishāq al-Ṣaffār was one of scholars of the Western Qarakhānids’ period who followed the Kalām thought of al-Māturīdī (d. 333/944). His theological works Talkhīs al-adilla and Risāla fī al-kalām, his method in kalām, and frequent reference to his works by Ottoman and Arab scholars indicate that al-Ṣaffār is a respected and authorative Māturīdī theologian. The article focuses on his defense of the kalām. By adding a long introduction to Talkhīs about the naming, importance, and religious legitimacy of the science (...) of kalām, Saffār asserted that the kalām should be learned. When systematical vindication of the science of kalām is examined, it is understood that al-Ṣaffār is the first theologian who reserved a private and voluminous part for defensing the kalām among Ḥanafī-Māturīdīs. Even though he does not state its systematic, it can be understood that vindication of kalām in al-Ṣaffār divides into three parts as of explanation, demonstration and refutation. Al-Ṣaffār’s defending the science of kalām shows that there were opposite thoughts against kalām in the 4th/10th and 5th/11th centuries throughout in Transoxania. In this period Aṣḥāb al-Ḥadīth and Ikhwān al-Ṣafāʾ were the opposite fronts of kalām. In addition, he was trying to go beyond the oppositions of Ḥanafī jurists. His vindication is consistent and has scholarly depth because it is able to be against a strong opposition. -/- SUMMARY: Abū Ishāq Ibrahīm b. Ismāil Zāhid al-Ṣaffār al-Bukhārī is a scholar belonging to the Ḥanafī theological tradition which was improved by the contribution of Ḥanafī theologians who used thinking system of Abū Ḥanīfa (d. 150/767) as base and adopted Abū Manṣūr al-Māturīdī (d. 333/944) and his thoughts in historical process. The contents of his theological works Talkhīs al-adilla li-qawāʿid al-tawḥīd and Risāla fī al-Kalām, the method that he used, and references to his works made by Ottoman and Arab scholars indicate that he is an important Māturīdī theologian. The article focuses on his defense of the science of Kalām. -/- In Talkhīs al-adilla, there are two sections including the subject of naming, and importance and necessity of Kalām discipline. Here, the necessity of learning Kalām and its value are defended in detail. -/- Besides, rumors “Abū Ḥanīfa turned away from the science of Kalām in his doomsdays” and that “He prohibited to make occupation with Kalām completely” are evaluated. -/- When systematical vindication of the science of Kalām is examined, it is understood that al-Ṣaffār is the first theologian who reserved a private and voluminous part for defensing the Kalām among Ḥanafī Māturīdīs. Even if Abū Manṣūr al-Māturīdī, Abū al-Yusr al-Bazdawī (d. 493/1100) and Abū Muʿīn al-Nasafī (d. 508/1115) defend that the science of Kalām is not wrong for religion; yet, the vindication of Kalām does not take a place under a separate title and in a detailed manner in any of Māturīdī theologians works. -/- The method that al-Ṣaffār used when he is defending the science of Kalām, differs from strategy of Abū Ḥanīfa. While Abū Ḥanīfa has mentioned that there is a need for the science of Kalām under these new circumstances, al-Ṣaffār has defended theologians who were charged with being Ahl al-Bidaʿ, by trying to prove that the prophets especially the Prophet Ibrāhīm, even the Companions of the Prophet Muḥammad (Ṣaḥāba) and the Successors of the Companions (Tābiʿūn) scholars use their minds and make arguments in religious matters. In this respect, he emphasizes that the Qurʾān orders to think and discuss gently, not to be stay in silence: “And dispute with them, using what is best” (16.125-126). Therefore, he states that this discipline which took a mission to explain and defend the creed of Islam (ʿaqīda), cannot be characterized as an innovation (bidʿah) or illicit. -/- His vindication method can be defined as a more developed type of method that Abu’l-Ḥasan al-Ash’arī’s (d. 324/935) used in Risāla fī istiḥsān al-khawḍ fī ʿilm al-kalām. Even though he does not state its systematic, it can be understood that vindication of Kalām in al-Ṣaffār divides into three parts as of explanation, demonstration and refutation: -/- a) Explanation: Explaining the necessity and importance of the science of Kalām by giving information about its definition, names, value and place among other principles. -/- b) Demonstration: Revealing the religious basics of the science of Kalām from the Qurʾān, the Sunna of the Prophet Muḥammad, the Companions of the Prophet, and the Successors of the Companions thus specifying that it is legitimate for religion. -/- c) Refutation: Replying the claims having aim to weaken the value of Kalām principle and its religious legality. -/- Al-Ṣaffār describes ‘the science of Kalām’ as ‘Knowing the Real with the evidences which help to reach the absolute information’. By allocating the concept of 'Ḥaqq', he repeats the definition of Kalām as “it is to know God with certain evidences” in a part of his work, and “it is to know the principles of religion (uṣūl al-dīn) with certain evidences” in another part. He describes Kalām as “Knowing ḥaqq / God / uṣūl al-dīn by depending on evidence”, and tries to prove that it is wrong to consider a science which performs the stated duty, as illicit and abominable and thus turn away from it. -/- Al-Ṣaffār thinks that it is right to call this principle as ‘Kalām’ because of the certain evidences leading to the truth that this science has used. This thought was defended by other theologians as well. -/- For example, according to Saʿd al-Dīn Masʿūd al-Taftazānī (d. 792/1310) it seems like to say “This is the word (kalām), not the other knowings” by the way of the power of evidences used in Kalām.Thus, it is appropriate to give name Kalām for this science which based on certain evidences. -/- Al-Ṣaffār’s explanations revealed in scope of vindication of the Kalām are adopted by some of following scholars. Ḥusām al-Dīn al-Sighnāqī (d. 714/1314) in his book called al-Tasdīd sharḥ al-Tamhīd fī qawāʿid al-tawḥīd quotes Saffâr’s explanations as the same. -/- Al-Ṣaffār indicates that the method told in the Qurʾān is to reply questions about religion, beliefs and rejection instead of remaining in silence. The duty taken on by Kalām is this vindication activity performed by the prophets whose examples are described in the Qurʾān and which is legal and demanded. His way of thinking and vindication of the Kalām resembles that of Abū Manṣūr al-Māturīdī. Al-Māturīdī says, “Prophets and we were ordered to invite infidels to Islam. When this invitation happens, the respondents will ask for evidence and explanation, and discussion will be inevitable. Therefore, discussing and talking about subjects of Kalām is not objectionable”. -/- Thoughts of al-Māturīdī and al-Ṣaffār regarding the vindication of the Kalām were repeated by Nūr al-Dīn al-Ṣābūnī (d. 580/1184), and Fakhr al-Dīn al-Rāzī (d. 606/1210) later. According to al-Ṣābūnī, the evidences put against deniers and especially the discussion made by the Prophet Ibrāhīm to defend his own belief, prove the legality of Kalām discipline. Likewise, according to al-Rāzī, the duty of Kalām is just an activity performed already in the Qurʾān and ordered to the prophets. At this point of view, since the prophets were leading to Kalām, banning this activity is nonsense. -/- According to al-Ṣaffār, the reason for why Abu Hanifa avoids his son Hammād from these discussions is that Abu Hanifa does not like discussions based on obstinate. Otherwise, it cannot be that Abū Ḥanīfa prohibits to learn Kalām and make discussion about Kalām. According to him, this behavior of Abū Ḥanīfa results from that people discussing with him are ignorant about the subject of Kalām, discussion turns to an obstinate, and coming to an end of discussion seems impossible. This comment of al-Ṣaffār is quoted in Miftāḥ al-saʿāda wa-miṣbāḥ al-siyāda by ʿIṣām al-Dīn Aḥmed b. Muṣṭafā Tashköprüzāde (d. 968/1561) and in Minaḥ al-rawḍ al-azhar fī sharḥ al-Fiqh al-akbar by ʿAlī b. Sulṭān Muḥammad al-Qārī (d. 1014/1606) as same as his words. -/- Al-Ṣaffār’s defending the science of Kalām shows that there were opposite thoughts against Kalām in the 4th/10th and 5th/11th centuries throughout in Transoxania.In this period Aṣḥāb al-Ḥadīth and Ikhwān al-Ṣafāʾ were the opposite fronts of Kalām. In addition, he was trying to go beyond the oppositions of Ḥanafī jurists (fuqahāʾ). Because some of the Ḥanafī jurists thought that Abū Ḥanīfa forsook occupation with the science of Kalām and even he prohibited his son to have interest in this discipline. But some of Ḥanafī theologians such as al-Māturīdī, al-Nasafī and al-Ṣaffār protested this thought which describes Abū Ḥanīfa as a banner for Kalām. -/- His vindication is consistent and has scholarly depth because it is able to be against a strong opposition. -/- His book Talkhīs al-adilla li-qawāʿid al-tawḥīd is a unique source in terms of containing vindication of the Kalām in detail and also influencing the approaches of the next period scholars. (shrink)

This paper provides a taxonomy of cosmological arguments and givesgeneral reasons for thinking that arguments that belong to a given category do not succeed.

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)

In this article, I will discuss some of the arguments for and against the existence of God, in particular the monotheistic God believed in the Abramahamic religions (Judiasm, Islam, and Christianity) as well as Babism, the Bahai Faith, and Sikhism. Arguments for the existence of God try to argue that either God exists (based on other things people agree with) or that belief in God is reasonable. Arguments against the existence of God try to argue that the existence of God (...) leads to some contradiction or other absurdity. (shrink)

The book discusses the structure, content, and evaluation of cosmological arguments. The introductory chapter investigates features essential to cosmological arguments. Traditionally, cosmological arguments are distinguished by their appeal to change, causation, contingency or objective becoming in the world. But none of these is in fact essential to the formulation of cosmological arguments. Chapters 1-3 present a critical discussion of traditional Thomistic, Kalam, and Leibnizian cosmological arguments, noting various advantages and disadvantages of these approaches. Chapter 4 offers an entirely new (...) approach to the cosmological argument - the approach of theistic modal realism. The proper explananda of cosmological arguments on this approach is not change, causation, contingency or objective becoming in the world. The proper explananda is the totality of metaphysical reality - all actualia and all possibilia. The result is the most compelling and least objectionable version of the cosmological argument. (shrink)

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. (shrink)

This chapter provides an overview and critical discussion of cosmological arguments for theism, with special focus on the Kalam argument and arguments from contingency.

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)

This dissertation is concerned with two of the largest questions that we can ask about the nature of physical reality: first, whether physical reality begin to exist and, second, what criteria would physical reality have to fulfill in order to have had a beginning? Philosophers of religion and theologians have previously addressed whether physical reality began to exist in the context of defending the Kal{\'a}m Cosmological Argument (KCA) for theism, that is, (P1) everything that begins to exist has a (...) cause for its beginning to exist, (P2) physical reality began to exist, and, therefore, (C) physical reality has a cause for its beginning to exist. While the KCA has traditionally been used to argue for God's existence, the KCA does not mention God, has been rejected by historically significant Christian theologians such as Thomas Aquinas, and raises perennial philosophical questions -- about the nature and history of physical reality, the nature of time, the nature of causation, and so on -- that should be of interest to all philosophers and, perhaps, all humans. While I am not a religious person, I am interested in the questions raised by the KCA. In this dissertation, I articulate three necessary conditions that physical reality would need to fulfill in order to have had a beginning and argue that, given the current state of philosophical and scientific inquiry, we cannot determine whether physical reality began to exist. -/- Friends of the KCA have sought to defend their view that physical reality began to exist in two distinct ways. As I discuss in chapter 2, the first way in which friends of the KCA have sought to defend their view that physical reality began to exist involves a family of a priori arguments meant to show that, as a matter of metaphysical necessity, the past must be finite. If the past is necessarily finite, then the past history of physical reality is necessarily finite. And if having a finite past suffices for having a beginning, then, since the past history of physical reality is necessarily finite, physical reality necessarily began to exist. I show that the arguments which have been offered thus far for the view that the past is necessarily finite do not succeed. Moreover, as I elaborate on in chapter 5, having a finite past does not suffice for having a beginning. -/- As I discuss in chapter 3, the second way in which friends of the KCA have sought to defend their view that physical reality began to exist involves a family of a posteriori arguments meant to show that we have empirical evidence that physical reality has a finite past history. For example, the big bang is sometimes claimed to have been the beginning of physical reality and, since we have excellent empirical evidence for the big bang, we have excellent empirical evidence for the beginning of physical reality. The big bang can be understood in two ways. On the one hand, the big bang can be understood as a theory about the history and development of the observable universe. Understood in that sense, then I agree that the big bang is supported by excellent empirical evidence and by a scientific consensus. On the other hand, some authors (particularly science popularizers, science journalists, and religious apologists) have wrongly interpreted big bang theory as a theory about the beginning of the whole of physical reality. As I argue, while a beginning of physical reality may be consistent with classical big bang theory, classical big bang theory does not provide good reason for thinking that physical reality began to exist. -/- In part II, I turn to discussing three necessary, but not necessarily sufficient, conditions for physical reality to have a beginning. Before discussing the three conditions, in chapter 4, I introduce three metaphysical accounts of the nature of time (A-theory, B-theory, and C-theory) as well as some formal machinery that will subsequently become useful in the dissertation. I introduce the first of the three conditions in chapter 5. According to the Modal Condition, physical reality began to exist only if, at the closest possible worlds without time, physical reality does not exist. I show that this condition helps us to make sense of various views in both theology and philosophy of physics. In chapter 6}, I introduce the second of my three conditions, the Direction Condition, according to which, roughly, physical reality began to exist only if all space-time points agree about the direction of time, so that all space-time points can agree that physical reality's putative beginning took place in their objective past. In chapter 7, I discuss the third condition, the Boundary Condition, according to which physical reality began to exist only if there is a past temporal boundary such that physical reality did not exist before the boundary. I show that there are two senses in which physical reality could be said to have had a past temporal boundary. Lastly, in chapter 8, I show that there is a relationship between my three conditions and classical big bang theory, even though the relationship is not the one usually identified in the literature. -/- In part III, I present four arguments for the view that, at the present stage of philosophical and scientific inquiry, we cannot know whether physical reality satisfies the three necessary conditions to have had a beginning and, consequently, we cannot know whether physical reality had a beginning. As I will prove in chapter 9, no set of observations that we currently have, when conjoined with General Relativity, entails that physical reality satisfies the Direction or Boundary Conditions. As I show in chapter 10, considerations in the philosophical foundations of statistical mechanics entail either that the Cosmos violates the Modal Condition or else that there is a transcendental condition on the possibility of our knowledge of the past that prevents our access to data we would need to gather to determine whether physical reality satisfies the Boundary Condition. In chapter 11, I show that there are a number of live cosmological models according to which physical reality does not satisfy the Boundary Condition. As long as we don't know whether any of those cosmological models are correct, we do not know whether physical reality satisfies the Boundary Condition. Lastly, I turn to confirmation theory and show that, at our present stage of inquiry, ampliative inferences for the conclusion that physical reality satisfies the Modal, Direction, and Boundary Conditions are not successful. (shrink)

A key premise of the kalam cosmological argument is that the universe began to exist. However, while a number of philosophers have offered powerful criticisms of William Lane Craig’s defense of the premise, J.P. Moreland has also offered a number of unique arguments in support of it, and to date, little attention has been paid to these in the literature. In this paper, I attempt to go some way toward redressing this matter. In particular, I shall argue that (...) Moreland’s philosophical arguments against the possibility of traversing a beginningless past are unsuccessful. (shrink)

In ‘The Kalam Cosmological Argument Neither Bloodied nor Bowed’ , David Oderberg provides four main criticisms of the line of argument which I developed in ‘Time, Successive Addition, and Kalam Cosmological Arguments’ . I argue here that none of these lines of criticism succeeds. Further I re-emphasise the point that those who maintain that the temporal series of past events is formed by ‘successive addition’ are indeed thereby committed to a highly contentious strict finitist metaphysics.

One of the common claims of the eternalists is that the "actual" infinite is possible and the universe is eternal. They are trying to refute the Kalam argument. What I wanted to show in this paper is that the "actual" infinite is impossible for logical reasons, and I have shown further that infinity has an effect and application over time, and that there is no way to deny the beginning of the universe for existence. The paper points out (...) the problems of infinity and points to the beginning of the universe. (shrink)

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)

Explicit atheism is a philosophical position according to which belief in God is irrational, and thus it should be rejected. In this paper, I revisit, extend, and defend against the most telling counter arguments the Kalām Cosmological Argument in order to show that explicit atheism must be deemed as a positively irrational position.

This paper is a critical review of *Big Bang Cosmology* by Quentin Smith and William Lane Craig. (The book is a collection of previously published papers; most are concerned, in one way or another, with kalam cosmological arguments for the existence of God.).

The cosmological argument, while considered to be deductive by some of its propounders, is not considered fool-proof by others. However, given the fact that causality is intrinsic to our thinking, reasoning towards ultimate causality remains significant. Andrew Loke capitalizes on this in his recent book.

This paper is a response to David Oderberg's discussion of the Tristram Shandy paradox. I defend the claim that the Tristram Shandy paradox does not support the claim that it is impossible that the past is infinite.

This paper discusses the treatment of "infinity" in philosophy of religion, including its use in discussions of divine attributes, and its use in various arguments about the existence of God (including the kalam cosmological argument and Pascal's wager). The aim of the paper is to set out -- and where possible, to resolve -- various foundational problems about infinity.

An eternal society with the abilities of ordinary humans in each year of its existence would have had the ability to actualize a logical contradiction. This fact casts doubt on the metaphysical possibility of an infinite past. In addition to using this paradox in an argument against an infinite past, one can also use the paradox mutatis mutandis as a decisive argument against the sempiternality of God.

This paper is a response to David Oderberg's criticisms of a previous paper of mine. (Bibliographical details are provided in the article.).

William Lane Craig modified Bertrand Russell’s Tristram Shandy example in order to derive an absurdity that would demonstrate the finitude of the past. Although his initial attempt at such an argument faltered, further developments in the literature suggested that such an absurdity was indeed in the offing provided that a couple extra statements were also shown to be true. This article traces the development of a particular line of argument that arose from Craig’s Tristram Shandy example before advancing (...) an argument of its own that attempts to fill in the relevant gaps so as to yield a new argument for the finitude of the past. (shrink)

This work deals with problems involving infinities and infinitesimals. It explores the ideas behind zero, its relationship to ontological nothingness, finititude (such as finite numbers and quantities), and the infinite. The idea of infinity and zero are closely related, despite what many perceive as an intuitive inverse relationship. The symbol 0 generally refers to nothingness, whereas the symbol infinity refers to ``so much'' that it cannot be quantified or captured. The notion of finititude rests somewhere between complete nothingness and something (...) having no end. -/- My concern is that many of the philosophers arguing for or against the ontology (or possibility) of an actual infinite set are unaware or unfamiliar with the mathematical literature attempting to clearly and rigorously define these terms. I believe it is a mistake to leave mathematicians out of this conversation, as analysts in particular have defined (and used) infinity in a way that is relevant to the ongoing debate between philosophers. -/- For this paper, I have selected examples from Principles of Analysis by Walter Rudin, which has become a standard text for Real Analysis classes taken by pure mathematicians and engineers. I will also restrict the scope of examples to Euclidean spaces for simplicity. Finally, I will be using addition, + and multiplication * in their usual way. (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)

Traditional theistic arguments conclude that God exists. Pragmatic theistic arguments, by contrast, conclude that you ought to believe in God. The two most famous pragmatic theistic arguments are put forth by Blaise Pascal (1662) and William James (1896). Pragmatic arguments for theism can be summarized as follows: believing in God has significant benefits, and these benefits aren’t available for the unbeliever. Thus, you should believe in, or ‘wager on’, God. This article distinguishes between various kinds of theistic wagers, including finite (...) vs. infinite wagers, premortem vs. postmortem wagers, and doxastic vs. acceptance wagers. Then, we’ll turn to the epistemic-pragmatic distinction, and discusses the nuances of James’ argument, and how views like epistemic permissivism and epistemic consequentialism provide unique “hybrid” wagers. Finally, we’ll cover outstanding objections and responses. (shrink)

The argument from reason states that if naturalism is true, then our beliefs are caused by physical processes rather than being causally based in their reasons, so our beliefs are not knowledge—including the belief in naturalism itself. Recent critics of the argument from reason provide dual process replies to the argument from reason—our beliefs can have both a naturalistic cause/ explanation and be caused/explained by its reasons, thereby showing that naturalism can accommodate knowledge. In this paper I (...) consider three dual process replies and conclude that none of them are successful. (shrink)

This paper analyses a hitherto unknown technique of using logic diagrams to create argument maps in eristic dialectics. The method was invented in the 1810s and -20s by Arthur Schopenhauer, who is considered the originator of modern eristic. This technique of Schopenhauer could be interesting for several branches of research in the field of argumentation: Firstly, for the field of argument mapping, since here a hitherto unknown diagrammatic technique is shown in order to visualise possible situations of arguments (...) in a dialogical controversy. Secondly, the art of controversy or eristic, since the diagrams do not analyse the truth of judgements and the validity of inferences, but the persuasiveness of arguments in a dialogue. (shrink)

A ‘lottery belief’ is a belief that a particular ticket has lost a large, fair lottery, based on nothing more than the odds against it winning. The lottery paradox brings out a tension between the idea that lottery beliefs are justified and the idea that that one can always justifiably believe the deductive consequences of things that one justifiably believes – what is sometimes called the principle of closure. Many philosophers have treated the lottery paradox as an argument against (...) the second idea – but I make a case here that it is the first idea that should be given up. As I shall show, there are a number of independent arguments for denying that lottery beliefs are justified. (shrink)

"The Manipulation Argument has recently taken center stage in the free-will debate, yet little else can be said of this newcomer that is uncontroversial. At present, even the most fundamental elements of the Manipulation Argument--its structure, conclusion, and target audience--are a matter of dispute. As such, we cannot begin, as we ideally would, with a simple and relatively uncontroversial overview of the argument. Instead, clarifying the debate over the basic structure and general conclusion of the Manipulation (...) class='Hi'>Argument will be our goal." -/- UPDATE: I now refer to an isolated objection to the counterexample step as a hardline reply, an isolated attack on the generalization step a softline reply, and an isolated response to the explanation step as an "al dente" reply. Al dente replies have been given in Mele's 2005 critique of the Four-Case Argument and my 2015 (2012) critique of Mele's Zygote Argument. I also now refer to a manipulation argument which has a generalization step that concludes to impossibilism and an explanation step which proposes an explanation for the impossibility of free will as a "Master Manipulation Argument" (examples of master manipulation arguments include Mickelson 2015 and 2019). (shrink)

Computational models have shown how polarisation can rise among deliberating agents as they approximate epistemic rationality. This paper provides further support for the thesis that polarisation can rise under condition of epistemic rationality, but it does not depend on limitations that extant models rely on, such as memory restrictions or biased evaluation of other agents’ testimony. Instead, deliberation is modelled through agents’ purposeful introduction of arguments and their rational reactions to introductions of others. This process induces polarisation dynamics on its (...) own. A second result is that the effect size of polarisation dynamics correlates with particular types of argumentative behaviour. Polarisation effects can be soothed when agents take into account the opinions of others as premises, and they are amplified as agents fortify their own beliefs. These results underpin the relevance of argumentation as a factor in social-epistemic processes and indicate that rising issue polarisation is not a reliable indicator of epistemic shortcomings. (shrink)

In 1982 Jackson introduced the Knowledge Argument to elucidate the phenomenal, interior aspects of experience. In 1908 McTaggart defined two series that characterize one dimension of time, the A-series and the B-series. The A-series is usually thought to be phenomenal [Farr 2019], [Dainton 2018]. Thus there is the possibility of giving a Knowledge Argument for time [Merriam 2012, 2022a]. One (informal) statement of the classical Knowledge Argument might be “Mary knows all the facts about color qualia but (...) lives in a black-and-white room. Upon being released into a colorful world, it would seem she learns something new.” The analogous Knowledge Argument for Time (KAT) would be “Nathan knows all the facts about time but lives in a B-series room. Upon being released into a world that has both an A-series and a B-series it would seem he learns something new.” I give variations of the KAT based on various distinctions. I don’t give any particular proposed solutions to the Knowledge Arguments for Time. Rather, the point is to state the Arguments (or indicate how they may be stated). It may be hoped that these will help clarify some issues in the philosophy of time and lead to a cross-fertilization between the philosophy of time and the philosophy of mind. (shrink)