This book was designed primarily as a textbook; though the author hopes that it will prove to be of interests to others beside logic students. Part I of this book covers the fundamentals of the subject the propositional calculus and the theory of quantification. Part II deals with the traditional formal logic and with the developments which have taken that as their starting-point. Part III deals with modal, three-valued, and extensional systems.

This is arguably the seminal work in historical andphilosophical analysis of the twentieth century.

In recent decades it has become increasingly clear that a substantial amount of cognitive work goes on independent of consciousness. The research has been carried out largely under two rubrics, implicit learning and implicit memory. The former has been concerned primarily with the acquisition of knowledge independent of awareness and the latter with the manner in which memories not readily available to conscious recall or recognition play a role in behavior; collectively these operations comprise the essential functions of the cognitive (...) unconscious. This paper reviews the recent history of work on these issues, identifies some of the problems confronting researchers, and introduces a theoretical framework based on principles of evolutionary biology within which to view them. The argument is that the cognitive unconscious, despite its apparent sophistication, is of considerable evolutionary antiquity and antedates conscious cognitive systems by a considerable amount of time. Various entailments of this evolutionary perspective are explored including such issues as phylogeny and ontogeny of implicit processes, the robustness of the implicit functions as displayed by the capacity to resist disruptions from psychological and neurological disorders, the relationship between implicit cognition and intelligence, and individual differences in implicit cognitive abilities. (shrink)

"The past two decades have seen renewed scholarly and popular interest in the law and morality of war. Positions that originated in the late Middle Ages through the 17th century have received more sophisticated philosophical elaboration. Although many contemporary writers draw on ideas that figure prominently in Kant's moral philosophy, his explicit discussions of war have not been brought into their proper place within these discussions and debates. Kant argues that a special morality governs the permissible use of force because (...) of wars distinctive immorality. He characterizes war as barbaric, because in war might makes right - which side prevails does not depend on who is in the right. The very thing that makes war wrongful also provides the appropriate standard for evaluating the conduct of war, and the only basis for law governing war"--. (shrink)

This paper is an attempt to put the work of the past several decades on the problems of implicit learning and unconscious cognition into an evolutionary context. Implicit learning is an inductive process whereby knowledge of a complex environment is acquired and used largely independently of awareness of either the process of acquisition or the nature of that which has been learned. Characterized this way, implicit learning theory can be viewed as an attempt to come to grips with the classic (...) epistemological issues of knowledge acquisition, representation and use. The argument is made that the process, despite its seeming cognitive sophistication, is of considerable evolutionary antiquity and that it antedates awareness and the capacity for conscious control of mentation. Various classic heuristics from evolutionary biology are used to substantiate this claim and several specific entailments of this line of argument are outlined. (shrink)

This book discusses and aims to clarify the issue of describing conduct and character as ‘good’ or ‘bad’, or as ‘right’ or ‘wrong’. The book states that one of the main factors that have made this issue obscure is the illusion of some anti-naturalists that purely logical considerations can settle it. It clearly defines the limitations of the discussions: it is not concerned with the ‘other things’ people use to define conduct and character. The book attempts to consider the issue (...) from the purely logician point of view and suggests to the naturalists and anti-naturalists how their positions may be freed from logical faults. The book also introduces the ‘logic of ethics’, which is not a special kind or branch of logic, but rather an application of it. (shrink)

I introduce a mathematical account of expectation based on a qualitative criterion of coherence for qualitative comparisons between gambles (or random quantities). The qualitative comparisons may be interpreted as an agent’s comparative preference judgments over options or more directly as an agent’s comparative expectation judgments over random quantities. The criterion of coherence is reminiscent of de Finetti’s quantitative criterion of coherence for betting, yet it does not impose an Archimedean condition on an agent’s comparative judgments, it does not require the (...) binary relation reflecting an agent’s comparative judgments to be reflexive, complete or even transitive, and it applies to an absolutely arbitrary collection of gambles, free of structural conditions (e.g., closure, measurability, etc.). Moreover, unlike de Finetti’s criterion of coherence, the qualitative criterion respects the principle of weak dominance, a standard of rational decision making that obliges an agent to reject a gamble that is possibly worse and certainly no better than another gamble available for choice. Despite these weak assumptions, I establish a qualitative analogue of de Finetti’s Fundamental Theorem of Prevision, from which it follows that any coherent system of comparative expectations can be extended to a weakly ordered coherent system of comparative expectations over any collection of gambles containing the initial set of gambles of interest. The extended weakly ordered coherent system of comparative expectations satisfies familiar additivity and scale invariance postulates (i.e., independence) when the extended collection forms a linear space. In the course of these developments, I recast de Finetti’s quantitative account of coherent prevision in the qualitative framework adopted in this article. I show that comparative previsions satisfy qualitative analogues of de Finetti’s famous bookmaking theorem and his Fundamental Theorem of Prevision.The results of this article complement those of another article (Pedersen, Strictly coherent preferences, no holds barred, Manuscript, 2013). I explain how those results entail that any coherent weakly ordered system of comparative expectations over a unital linear space can be represented by an expectation function taking values in a (possibly non-Archimedean) totally ordered field extension of the system of real numbers. The ordered field extension consists of formal power series in a single infinitesimal, a natural and economical representation that provides a relief map tracing numerical non-Archimedean features to qualitative non-Archimedean features. (shrink)

The Cellular Basis of Consciousness theory places the first appearance of sentience at the emergence of life. It makes the radical, and previously unexplored, claim that prokaryotes, like bacteria, possess a primitive form of consciousness. The implications of the theory for the philosophy of mind, cell-biology, and cognitive neurosciences are explored.

The movement to try to close the ever-widening gap between demand and supply of organs has recently arrived at the prison gate. While there is enthusiasm for using executed prisoners as sources of organs, there are both practical barriers and moral concerns that make it unlikely that proposals to use prisoners will or should gain traction. Prisoners are generally not healthy enough to be a safe source of organs, execution makes the procurement of viable organs difficult, and organ donation post-execution (...) ties the medical profession too closely to the act of execution. (shrink)

Recently, philosophers have tried to develop a version of truthmaker theory which ties the truthmaking relation closely to the notion of fundamentality. In fact, some of these truthmaker-fundamentalists, as I call them, assume that the notion of fundamentality is intelligible in part by citing, as central examples of fundamentals, truthmakers, which they understand necessarily as constituents of fundamental reality. The aim of this paper is first to bring some order and clarity to this discussion, sketching how far TF is compatible (...) with orthodox truthmaking, and then critically to evaluate the limits of TF. It will be argued that truthmaker theory cannot directly help with articulating the nature of fundamental reality and that T-REL does not necessarily relate truths with anything more fundamental, unless what is fundamental is what the truthbearers in question are about. I shall argue that TF faces a rather thorny dilemma and some general problems. I shall present two exhaustive types of fundamentalism on which a version of TF can be based: deflationary and inflationary. It will be argued that each version of TF runs into significant troubles accounting for all truth, specifically ordinary truths and metaphysical truths about the relations between ordinary facts and fundamental facts. I shall not attempt to solve these problems, but rather, at the end, diagnose the issues with TF as lying in the difficulties with reconciling the manifest image with the scientific and metaphysical images of reality. (shrink)

The book presents an anthology of readings on the philosophy of science covering traditional issues, such as explanation, confirmation, and progress against a backdrop of historical case studies. Discusses the feminist philosophy of science to present a different perspective on the subject and chapters on medicine and psychology (dreaming) present applications of philosophy and science.

_A lively meditation on the nature of art by one of America's most celebrated art critics_ What is it to be a work of art? Renowned author and critic Arthur C. Danto addresses this fundamental, complex question. Part philosophical monograph and part memoiristic meditation, _What Art Is _challenges the popular interpretation that art is an indefinable concept, instead bringing to light the properties that constitute universal meaning. Danto argues that despite varied approaches, a work of art is always defined (...) by two essential criteria: meaning and embodiment, as well as one additional criterion contributed by the viewer: interpretation. Danto crafts his argument in an accessible manner that engages with both philosophy and art across genres and eras, beginning with Plato’s definition of art in _The Republic_, and continuing through the progress of art as a series of discoveries, including such innovations as perspective, chiaroscuro, and physiognomy. Danto concludes with a fascinating discussion of Andy Warhol’s famous shipping cartons, which are visually indistinguishable from the everyday objects they represent. Throughout, Danto considers the contributions of philosophers including Descartes, Kant, and Hegel, and artists from Michelangelo and Poussin to Duchamp and Warhol, in this far-reaching examination of the interconnectivity and universality of aesthetic production. (shrink)

Block’s, 5–43 1981) anti-behaviourist attack of the Turing Test not only illustrates that the test is a non-sufficient criterion for attributing thought; I suggest that it also exemplifies the limiting case of the more general concern that a machine which has access to enormous amounts of data can pass the Turing Test by simple symbol-manipulation techniques. If the answers to a human interrogator are entailed by the machines’ data, the Turing Test offers no clear criterion to distinguish between a thinking (...) machine and a machine that merely manipulates representations of words and sentences as it is found in contemporary Natural Language Processing models. This paper argues that properties about vagueness are accessible to any human-like thinker but do not normally display themselves in ordinary language use. Therefore, a machine that merely performs simple symbol manipulation from large amounts of previously acquired data – where this body of data does not contain facts about vagueness – will not be able to report on these properties. Conversely, a machine that has the capacity to think would be able to report on these properties. I argue that we can exploit this fact to establish a sufficient criterion of thought. The criterion is a specification of some of the questions that, as I explain, should be asked by the interrogator in a Turing Test situation. (shrink)

Arthur C. Danto's lucid introduction to the central topics of Western philosophical thought remains an unparalleled guide to problems in metaphysics and epistemology that have engaged philosophers for several millennia. Examining the work of Plato, Berkeley, Descartes, Hume, and Wittgenstein, Danto explores debates about empiricism, the mind/body problem, the nature of matter, and the status of language, consciousness, and scientific explanation. In a new preface to this edition he considers the current relationship between philosophy and the humanities.

Continuous first-order logic has found interest among model theorists who wish to extend the classical analysis of “algebraic” structures to various natural classes of complete metric structures. With research in continuous first-order logic preoccupied with studying the model theory of this framework, we find a natural question calls for attention. Is there an interesting set of axioms yielding a completeness result?The primary purpose of this article is to show that a certain, interesting set of axioms does indeed yield a completeness (...) result for continuous first-order logic. In particular, we show that in continuous first-order logic a set of formulae is satisfiable if it is consistent. From this result it follows that continuous first-order logic also satisfies an approximated form of strong completeness, whereby Σ⊨φ only if Σ⊢φ∸ 2-n for all n < ω. This approximated form of strong completeness asserts that if Σ⊨φ, then proofs from Σ, being finite, can provide arbitrarily better approximations of the truth of φ.Additionally, we consider a different kind of question traditionally arising in model theory—that of decidability. When is the set of all consequences of a theory recursive? Say that a complete theory T is decidable if for every sentence φ, the value φT is a recursive real, and moreover, uniformly computable from φ. If T is incomplete, we say it is decidable if for every sentence φ the real number φT∘ is uniformly recursive from φ, where φT∘is the maximal value of φ consistent with T. As in classical first-order logic, it follows from the completeness theorem of continuous first-order logic that if a complete theory admits a recursive axiomatization then it is decidable. (shrink)

How do we appreciate a work of art? Awarded a Guggenheim Fellowship to explore connections between art, mind, and brain, Arthur Shimamura takes findings from psychological and brain sciences to address ways of understanding our aesthetic responses.

But as Harvard ethicist Arthur J. Dyck shows in this powerful work, there are solid moral and practical bases for the existing laws against assisted suicide in ...

This article picks up from William James's pragmatism and metaphysics of experience, as expressed in his “radical empiricism,” and further develops this Jamesian pragmatist approach to uncertainty and ignorance by connecting it to phenomenological thought. The Jamesian pragmatist approach avoids both a “crude naturalism” and an “absolutist rationalism,” and allows for identification of intimations of the sacred in both scientific and religious practices—which all, in their respective ways, try to make sense of a complex world. Analogous to religious practices, emotion (...) and the metaphysics of experience play a central role in science, especially the emotion of wonder. Engaging in scientific or religious practices may create opportunities for individuals to realize that they are co-creators of the world in partnership with God, in full awareness of uncertainty and ignorance and filled with the emotion of wonder. (shrink)

1. Bd. Schriften zur Erkenntnislehre. 1948.--2.-3. Bd. Die Welt als Wille und Vorstellung. 1949-61--4. Bd. Schriften zur Naturphilosophie und zur Ethik: Ueber den Willen in der Natur. Die beiden Grundprobleme der Ethik. 1950.--5.-6. Bd. Parerga und Paralipomena. 1960-61.--7. Bd. Über die vierfache Wurzel des Satzes vom zureichenden Grunde (Dissertation 1813) Gestrichene Stellen. Zitate und fremdsprachige Stellen. Namen- und Sachregister. 1950.