This is, to the best of my knowledge, the first published attempt at a rigorous logical formalization of a passage in Leibniz's Monadology. The method we followed was suggested by Johannes Czermak.

Edward Nieznański developed two logical systems to deal with the problem of evil and to refute religious determinism. However, when formalized in first-order modal logic, two axioms of each system contradict one another, revealing that there is an underlying minimal set of axioms enough to settle the questions. In this article, we develop this minimal system, called N3, which is based on Nieznański’s contribution. The purpose of N3 is to solve the logical problem of evil through the defeat of (...) a version of religious determinism. On the one hand, these questions are also addressed by Nieznański’s systems, but, on the other hand, they are obtained in N3 with fewer assumptions. Our approach can be considered a case of logic of religion, that is, of logic applied to religious discourse, as proposed by Józef Maria Bocheński; in this particular case, it is a discourse in theodicy, which is situated in the context of the philosophy of religion. (shrink)

Edward Nieznanski developed in 2007 and 2008 two different systems in formal logic which deal with the problem of evil. Particularly, his aim is to refute a version of the logical problem of evil associated with a form of religious determinism. In this paper, we revisit his first system to give a more suitable form to it, reformulating it in first-order modal logic. The new resulting system, called N1, has much of the original basic structure, and many axioms, (...) definitions, and theorems still remain; however, some new results are obtained. If the conclusions attained are correct and true, then N1 solves the problem of evil through the refutation of a version of religious determinism, showing that the attributes of God in Classical Theism, namely, those of omniscience, omnipotence, infallibility, and omnibenevolence, when adequately formalized, are consistent with the existence of evil in the world. We consider that N1 is a good example of how formal systems can be applied in solving interesting philosophical issues, particularly in Philosophy of Religion and Analytic Theology, establishing bridges between such disciplines. (shrink)

Edward Nieznański developed two logical systems in order to deal with a version of the problem of evil associated with two formulations of religious determinism. The aim of this research was to revisit these systems, providing them with a more appropriate formalization. The new resulting systems, namely, N1 and N2, were reformulated in first-order modal logic; they retain much of their original basic structures, but some additional results were obtained. Furthermore, our research found that an underlying minimal set of (...) axioms is enough to settle the questions proposed. Thus, we developed a minimal system, called N3, that solves the same issues tackled by N1 and N2, but with less assumptions than these systems. All of the systems developed here are proposed as solutions to the logical problem of evil through the refutation of two versions of religious determinism, showing that the attributes of God in Classical Theism, namely, those of omniscience, omnipotence, infallibility, and omnibenevolence, when formalized, are consistent with the existence of evil, providing one more response to this traditional issue. (shrink)

An interview with Ed Casey where we discuss the intersections of his philosophical work with current political issues, including the Israel-Palestine conflict.

This paper responds to an argument against a kind of anthropology. According to the argument, if the aim of anthropology is to describe the different worldviews of different groups, then anthropologists should only refer to material artefacts in order to illustrate a worldview; but the interest of artefacts to anthropology goes beyond mere illustration. This argument has been endorsed by key members of the ontological movement in anthropology, who found at least one of its premises in Marilyn Strathern’s writing.

I am not sure who said that liberalism merely alternates between ethics and economics – was it Karl Kraus? – but at first glance the claim is plausible. In this paper I argue that there are varieties of liberalism which do not. Some depend on a nature-culture distinction and some appeal to simplicity in a way that seems aesthetic. In the appendix I introduce a problem for utilitarianism.

A thorough examination of John Wesley’s writings will show that he was not a biblical literalist or infallibilist, despite his own occasional suggestions to the contrary. His most important principles for interpreting the Bible were: We should take its words literally only if doing so is not absurd, in which case we should “look for a looser meaning;” and “No Scripture can mean that God is not love, or that his mercy is not over all his works.” Eleven instances of (...) his not taking biblical texts literally are examined. His real view was something like this: Biblical language is infallibly and literally true if and only if it does not contradict more basic scriptures and is not absurd, that is, not construed literally when metaphorical, or not misleadingly metaphorical, or not oversimplified or exaggerated, or not culture bound, or not contrary to reason and experience, or not ethically unconscionable and unloving. (shrink)

Possible worlds models of belief have difficulties accounting for unawareness, the inability to entertain (and hence believe) certain propositions. Accommodating unawareness is important for adequately modelling epistemic states, and representing the informational content to which agents have in principle access given their explicit beliefs. In this paper, I develop a model of explicit belief, awareness, and informational content, along with an sound and complete axiomatisation. I furthermore defend the model against the seminal impossibility result of Dekel, Lipman and Rustichini, according (...) to which three intuitive conditions preclude non-trivial unawareness on any possible worlds model of belief. (shrink)

I present a sense of the term “ideal theory” based on Joseph Raz’s response to the situation of a lifeguard faced with three drowning on one side and two on the other and unable to save all. From what is of value, such a theory builds up a conception of an ideal political state or an aspect of it which we have reason to realize, but ignoring whether it is possible for us to realize this.

Timothy Williamson objects that we do not have any reason to regard reflective equilibrium as a philosophical method, whether good or bad. In this paper, I propose a less demanding account of when a method is being described.

This essay explores Kant’s concept of absolute space in the Metaphysical Foundations from the perspective of the development of the relationist interpretation of bodily interactions in the center-of-mass reference frame, a strategy that Huygens had originally pioneered and which Mach also endorsed. In contrast to the interpretations of Kant that stress a non-relationist, Newton-inspired orientation in his critical period work, it will be argued that the content and function of Kant’s utilization of this reference frame strategy places him much closer (...) to Huygens’ relationism than the absolute notions of space and motion favored by Newton and Euler. (shrink)

An exploratory pilot study with a small homogenous sample of Christian English speaking participants provided support for an alternative research hypothesis that a Christ consciousness contemplation with Heart Prayer of HeartMath techniques was significantly associated with increasing psychophysiological coherence, sense of coherence, spirituality and health perceptions. Participants described feelings of a peaceful place in oneness and connection with Christ. Integrative findings point towards Christ consciousness as an ultimately non-dual process of sensing vibrational resonance radiating from the human heart. Implications for (...) further research are discussed. (shrink)

John Rawls’s difference principle says that we should change our economy if doing so is better for the worst-off group, on the condition that certain basic rights are secured. This paper presents a kind of case that challenges the principle. If we modify the principle to cope with the challenge, we open the way to a Sorites paradox.

Should one read T.H. Irwin’s three volume history of Western ethics, or parts of it? Here one might turn to reviews. The journal The Philosophical Forum uses the sensible strategy of getting different specialists to review different parts of the book. There are two chapters on Rawls, each one reviewed by a Rawlsian. I wish to register discontent with Steven Ross’s review.

Some formulations of the surprise paradox involve a pair of unnecessary and controversial assumptions. After casting doubt on these assumptions, I propose a solution to the paradox.

In this paper, I draw attention to a revolution in the metaphysical commitments of Western astrology. Although I do not wish to promote astrology, I propose a rational route to this revolution. But there is a strong argument, from a Popperian perspective, that my proposal fails to establish rationality. I then consider whether we should say that astrology is either false or unfalsifiable, drawing attention to some surprising findings from schizophrenia research. Also, in a footnote I present “Tompkins’ paradox.”.

Does the debate between Rawlsians and liberal perfectionists boil down to the following: for liberal perfectionists, the government should fund aesthetic projects that are in good taste; for Rawlsians, the government should be neutral on the aesthetic value of anything? If so, liberal perfectionists are committed to the view that there is objective aesthetic value. In this paper, I argue that within the Rawlsian system is a thesis that is difficult to reconcile with objectivity about aesthetics.

This integral investigation explored phenomenological and neurophysiologic, individual and collective dimensions of Christian Trinitarian meditation experiences in a volunteer, convenience sample of 10 practicing Christians, 6 men and 4 women, with a mean age of 48 years and an age range from 21 to 85 years. Participants meditated for a minimum period of 15 minutes, during which neurophysiologic data in the form of electroencephalographic (EEG), electromyographic (EMG), blood volume pulse (BVP) and respiratory activity were recorded. A phenomenological analysis indicated that (...) the meditation process generally involved a movement from body to mind to spirit as evident in reports of an increasingly relaxed, contented and focused state of consciousness characterised by Christian Trinitarian imagery, wonder, surrender, peace, bliss, openness and formlessness. The neuropsychological findings indicated significant increases, from baseline to meditation recordings, in the alpha and beta range, accompanied by increasing mean trends in the theta and gamma range, and decreasing mean trends in the delta range, EMG, BVP and respiration. Integrative findings indicated the practical theological value of small doses of Christian Trinity meditation to enhance spiritual life for those forms of waking, thinking, conscious behaviour needed in everyday world involvement and healing. Findings were discussed in relation to further integrative investigations and interventions with practical theological implications. (shrink)

Philosophers and logicians talk of arguments for conclusions. In a recent paper, Jeffrey Goodman identifies a common way of thinking about what an argument is. I propose a definition that is quite different to this common way. I also make two objections to Goodman’s proposed definition.

A department where you study creative writing is a paradox, given the following assumption: creativity is something natural to creative people and they do not need to study it. I try to formulate the paradox more clearly and note a logical gap.

In this paper, I present a way in which John Rawls’s original position thought experiment can be brought closer to nationalism. The social science laws can be taken from a nation’s heritage.

This paper tries to make sense of a piece of dialogue from Flora Nwapa’s novel Women are Different. I clarify the conclusion drawn by one of the characters, which enables a solution.

This is a one page handout reconstructing the paradox and identifying four solutions in the literature, as well as some concerns about them.

I argue that absolutism, the view that absolutely unrestricted quantification is possible, is to blame for both the paradoxes that arise in naive set theory and variants of these paradoxes that arise in plural logic and in semantics. The solution is restrictivism, the view that absolutely unrestricted quantification is not possible. -/- It is generally thought that absolutism is true and that restrictivism is not only false, but inexpressible. As a result, the paradoxes are blamed, not on illicit quantification, but (...) on the logical conception of set which motivates naive set theory. The accepted solution is to replace this with the iterative conception of set. -/- I show that this picture is doubly mistaken. After a close examination of the paradoxes in chapters 2--3, I argue in chapters 4 and 5 that it is possible to rescue naive set theory by restricting quantification over sets and that the resulting restrictivist set theory is expressible. In chapters 6 and 7, I argue that it is the iterative conception of set and the thesis of absolutism that should be rejected. (shrink)

This is a two page handout specifying approaches, or methods, used in interpreting Judith Butler. The methods of various analytic philosophers are identified.

In his Edifying Discourses, Soren Kierkegaard published a sermon entitled ‘The Unchangeableness of God’ in which he reiterated the dogma which dominated Catholic, Protestant and even Jewish expressions of classical supernaturalist theology from the first century A.D. until the advent of process theology in the twentieth century. The dogma that as a perfect being, God must be totally unchanging in every conceivable respect was expressed by Kierkegaard in such ways as: He changes all, Himself unchanged. When everything seems stable and (...) in the overturn of all things, He remains equally unchanged; no change touches Him, not even the shadow of a change; in unaltered clearness He, the father of lights, remained eternally unchanged. 1. (shrink)

In this paper, I present a problem for regarding the reflective equilibrium and original position methods as consistent. I do not prove that there is an inconsistency, but there is a puzzle of how the two methods can be made consistent. The concern about inconsistency is because the former method allows for a kind of historical bias, as noted by T.H. Irwin, whereas the latter method seeks to guard against historical bias.

I draw attention to how one of Donald Davidson’s arguments against the claim that others have an alternative conceptual scheme does not look compatible with his rejection of analytic truths – how his rejection of the third dogma of empiricism depends on accepting the first. The appendix contests Davidson’s approach to organizing the Pacific Ocean.

This is a one page handout presenting R.R. Marrett's objections to Frazer from an article reviewing books by Frazer and also one by Malinowski (and others not referred to here).

According to comparativism, degrees of belief are reducible to a system of purely ordinal comparisons of relative confidence. (For example, being more confident that P than that Q, or being equally confident that P and that Q.) In this paper, I raise several general challenges for comparativism, relating to (i) its capacity to illuminate apparently meaningful claims regarding intervals and ratios of strengths of belief, (ii) its capacity to draw enough intuitively meaningful and theoretically relevant distinctions between doxastic states, and (...) (iii) its capacity to handle common instances of irrationality. (shrink)

In this paper, I present some advice in the style of Nietzsche for a university aspiring to move from being good to great, as a nearby university is.

According to the preference-centric approach to understanding partial belief, the connection between partial beliefs and preferences is key to understanding what partial beliefs are and how they’re measured. As Ramsey put it, the ‘degree of a belief is a causal property of it, which we can express vaguely as the extent to which we are prepared to act on it’ The Foundations of Mathematics and Other Logical Essays, Routledge, Oxon, pp 156–198, 1931). But this idea is not as popular as (...) it once was. Nowadays, the preference-centric approach is frequently dismissed out-of-hand as behaviouristic, unpalatably anti-realist, and/or prone to devastating counterexamples. Cases like Eriksson and Hájek’s :183–213, 2007) preferenceless Zen monk and Christensen’s :356–376, 2001) other roles argument have suggested to many that any account of partial belief that ties them too closely to preferences is irretrievably flawed. In this paper I provide a defence of preference-centric accounts of partial belief. (shrink)

T.H. Irwin’s stimulating commentary on John Rawls anticipates but does not make “the subset objection to Rawls.” This term of mine is potentially misleading, but Irwin’s commentary is more so: I argue that relevant parts involve dubious commitments.

What did Max Gluckman actually say about apparently structureless societies? I introduce a fictional example to make sense of what he says regarding the Tonga.

This paper provides an exposition and defence of Lewis' theory of radical interpretation. The first part explains what Lewis' theory was; the second part explains what it wasn't, and in so doing addresses a number of common objections that arise as a result of widespread myths and misunderstandings about how Lewis' theory is supposed to work.

Perceptual experience is often said to be transparent; that is, when we have a perceptual experience we seem to be aware of properties of the objects around us, and never seem to be aware of properties of the experience itself. This is a introspective fact. It is also often said that we can infer a metaphysical fact from this introspective fact, e.g. a fact about the nature of perceptual experience. A transparency theory fills in the details for these two facts, (...) and bridges the gap between them. We have three aims: to scrutinize Michael Tye’s transparency theory :137–151, 2002; Consciousness revisited: materialism without phenomenal concepts, MIT Press, Cambridge, 2009; Philos Stud 170:39–57, 2014a), introduce a new transparency theory, and advance a meta-theoretical hypothesis about the interest, and import, of transparency theories. (shrink)

This paper identifies three positions on the relationship between language and experience, the third of which I was not acquainted with before from my reading. It seems absurd.

This paper responds to a paradox Marilyn Strathern raises concerning who endorses a community first model of the village of Elmdon, according to which it is a community and the good of the community should take priority over individual interests. It is middle-class newcomers, whose peripheral position requires greatest sacrifice from them, if the model is to be implemented. I propose two solutions to the puzzle.

This paper offers a brief analysis of what it is to be moved by a death. It is written as an imitation of a famous European writer and it has an analysis of some newspaper material as well, which was just some gentle fun, if it be permitted.

This paper contains my attempt to pastiche the Lacanian philosopher and social theorist Renata Salecl. The pastiche focuses on the effects of coronavirus on liberal societies, the invasion of Ukraine, and offers a definition which I think is of interest to analytic philosophy.

This paper considers two explanations for why the main character of Flora Nwapa’s novel One is Enough does not answer the question of how many times her mother-in-law has visited. One of these is a variation on the surprise exam paradox.

People make moral judgments in response to actual or hypothetical situations. But should they ignore moral judgments made in some states of mind, such as when they are hesitant, frightened, or under the influence of a drug? John Rawls thinks that moral philosophers should ignore judgments made in such states, but I introduce a proposal according to which, if certain conditions are met, they should not. The proposal is loosely inspired by psychoanalysis.

Diego Gambetta and Gloria Origgi describe Italy as a country in which there is a widespread preference for promising high quality goods and delivering low quality goods. Builders are presented as an example. Gambetta and Origgi make proposals regarding why there are these preferences. I was going to ask, why don’t they just try being builders for a while? But metaphorically speaking, they are builders, which makes explaining the problems they face easier.

Mary Beard argues against the claim that its relationship to British colonialism adequately explains why The Golden Bough was popular, drawing attention to other stuff in the book aside from information about British colonies. I make an objection that British colonialists would have been interested in expanding their empire.

This paper attempts to provide a clearer formulation of the paradox presented by Annette B. Weiner, in terms of a requirement to keep certain objects within a social group and also a requirement to exchange them with another social group.

I raise the question of whether there is a hidden source of doubt in Descartes’ first meditation, if one adopts the perspective of some people he describes as insane.

This is my response to a premise-by-premise argument in Anca Gheaus’s “Biological Parenthood: Gestational, Not Genetic.”.

Why are some disciplines lacking in members from certain groups, for example why has there been female underrepresentation in English-speaking analytic philosophy or a shortage of ethnic minorities? In this paper, I distinguish between two versions of the hostile atmosphere hypothesis.