Originally published in Proceedings of the British Academy 60 (1974), 339-359.

In Part 1 of this book, the first full-length treatment of its topic, J. L. Schellenberg argues that when we notice how.

In many places and times, and for many people, God's existence has been rather less than a clear fact. According to the hiddenness argument, this is actually a reason to suppose that it is not a fact at all. The hiddenness argument is a new argument for atheism that has come to prominence in philosophy over the past two decades. J. L. Schellenberg first developed the argument in 1993, and this book offers a short and vigorous statement of its central (...) claims and ideas. Logically sharp but so clear that anyone can understand, the book addresses little-discussed issues such as why it took so long for hiddenness reasoning to emerge in philosophy, and how the hiddenness problem is distinct from the problem of evil. It concludes with the fascinating thought that retiring the last of the personal gods might leave us nearer the beginning of religion than the end. (shrink)

Providing an original and systematic treatment of foundational issues in philosophy of religion, J. L. Schellenberg's new book addresses the structure of..

The evolutionary implications of environmental change due to organismic action remain a controversial issue, after a decades—long debate on the subject. Much of this debate has been conducted in qualitative fashion, despite the availability of mathematical models for organism–environment interactions, and for gene frequencies when allele fitness can be related to exploitation of a particular environmental resource. In this article we focus on representative models dealing with niche construction, ecosystem engineering, the Gaia Hypothesis and community interactions of Lotka–Volterra type, and (...) show that their quantitative character helps bring into sharper focus the similarities and differences among their respective theoretical contexts. (shrink)

The Wisdom to Doubt is a major contribution to the contemporary literature on the epistemology of religious belief.

A comprehensive one-year graduate (or advanced undergraduate) course in mathematical logic and foundations of mathematics. No previous knowledge of logic is required; the book is suitable for self-study. Many exercises (with hints) are included.

_The Foundations of Arithmetic_ is undoubtedly the best introduction to Frege's thought; it is here that Frege expounds the central notions of his philosophy, subjecting the views of his predecessors and contemporaries to devastating analysis. The book represents the first philosophically sound discussion of the concept of number in Western civilization. It profoundly influenced developments in the philosophy of mathematics and in general ontology.

* This is a fragment of J. L. Schellenberg’s paper “Divine Hiddenness and Human Philosophy” originally published in Adam Green and Eleonore Stump, Hidden Divinity and Religious Belief, 23–25, 28. Reprinted by permission of the author.

Aristotle is widely regarded as the greatest of all philosophers; indeed, he is traditionally referred to simply as `the philosopher'. Today, after more than two millennia, his arguments and ideas continue to stimulate philosophers and provoke them to controversy. In this book J.L. Ackrill conveys the force and excitement of Aristotle's philosophical investigations, thereby showing why contemporary philosophers still draw from him and return to him. He quotes extensively from Aristotle's works in his own notably clear English translation, and a (...) picture emerges of a lucid, lively, subtle and tough-minded thinker of astonishing range and penetration. Professor Ackrill identifies many striking connections between Aristotle's ideas and ideas in recent philosophy; he also raises philosophical questions of his own, and exemplifies the way in which Aristotle can still be argued with and learned from. (shrink)

The traditional verbal/nonverbal dichotomy is inadequate for completely describing cerebral lateralization. Musical functions are not necessarily mediated by the right hemisphere; evidence for a specialist left-hemisphere mechanism dedicated to the encoded speech signal is weakening, and the right hemisphere possesses considerable comprehensional powers. Right-hemisphere processing is often said to be characterized by holistic or gestalt apprehension, and face recognition may be mediated by this hemisphere partly because of these powers, partly because of the right hemisphere's involvement in emotional affect, and (...) possibly through the hypothesized existence of a specialist face processor or processors in the right. The latter hypothesis may, however, suffer the same fate as the one relating to a specialist encodedness processor for speech in the left. Verbal processing is largely the province of the left because of this hemisphere's possession of sequential, analytic, time-dependent mechanisms. Other distinctions are special cases of an analytic/holistic dichotomy. More fundamentally, however, the left hemisphere is characterized by its mediation of discriminations involving duration, temporal order, sequencing, and rhythm, at thesensory level, and especially at themotorlevel. Spatial aspects characterize the right, the mapping of exteroceptive body space, and the positions of fingers, limbs, and perhaps articulators, with respect to actual and target positions. Thus there is a continuum of function between the hemispheres, rather than a rigid dichotomy, the differences being quantitative rather than qualitative, of degree rather than of kind. (shrink)

J. L. Ackrill; VIII*—Aristotle's Definitions of Psuche, Proceedings of the Aristotelian Society, Volume 73, Issue 1, 1 June 1973, Pages 119–134, https://doi.org.

J.L. Schellenberg offers a path to a new kind of religious outlook. Reflection on our early stage in the evolutionary process leads to skepticism about religion, but also offers a new answer to the problem of faith and reason, and the possibility of a new, evolutionary form of religion.

A Dirac-like equation for a massive field obeying the classical Proca equations of motion (PMO) is proposed in close analogy with Majorana’s construct for Maxwell electrodynamics. Its underlying algebraic structure is examined and a plausible physical interpretation is discussed. The behavior of the PMO equations in the presence of an external electromagnetic field is also investigated in the low energy limit, via unitary transformations similar to the Foldy-Wouthuysen canonical transformation for a Dirac fermion.

The idea of a 'logic of quantum mechanics' or quantum logic was originally suggested by Birkhoff and von Neumann in their pioneering paper [1936]. Since that time there has been much argument about whether, or in what sense, quantum 'logic' can be actually considered a true logic (see, e.g. Bell and Hallett [1982], Dummett [1976], Gardner [1971]) and, if so, how it is to be distinguished from classical logic. In this paper I put forward a simple and natural semantical framework (...) for quantum logic which reveals its difference from classical logic in a strikingly intuitive way, viz. through the fact that quantum logic admits (suitably formulated versions of) the characteristic quantum-mechanical notions of superposition and incompatibility of attributes. That is, precisely the features that distinguish quantum from classical physics also serve, within this framework, to distinguish quantum from classical logic. Some light is shed on the question of whether quantum logic is a genuine logical system by introducing a natural entailment relation for quantum-logical formulas with the implication symbol. The novelty is that, although implication behaves as it should (i.e. the 'deduction theorem' holds), the order of introduction of premises is significant. The fact that a reasonable entailment relation can be formulated for quantum logic supports the view that it is a genuine logical system and not merely an algebraic formalism. (shrink)

Chris Tucker's paper on the hiddenness argument seeks to turn aside a way of defending the latter which he calls the value argument. But the value argument can withstand Tucker's criticisms. In any case, an alternative argument capable of doing the same job is suggested by his own emphasis on free will.

Ultimism and the aims of human immaturity -- Faith without details, or how to practice skeptical religion -- Simple faith and the complexities of tradition -- The structure of faith justification -- How skeptical faith is true to reason -- Anselm's idea -- Leibniz's ambition -- Paley's wonder -- Pascal's wager -- Kant's postulate -- James's will -- Faith is positively justified : the many modes of religious vision.

J.L. Ackrill's work on Plato and Aristotle has had a considerable influence upon ancient philosophical studies in the late twentieth century. This volume collects the best of Ackrill's essays on the two greatest philosophers of antiquity. With philosophical acuity and philological expertise he examines a wide range of texts and topics--from ethics and logic to epistemology and metaphysics--that continue to be in the focus of debate.

In this paper (a sequel to [4]) I put forward a "local" interpretation of mathematical concepts based on notions derived from category theory. The fundamental idea is to abandon the unique absolute universe of sets central to the orthodox set-theoretic account of the foundations of mathematics, replacing it by a plurality of local mathematical frameworks - elementary toposes - defined in category-theoretic terms.