A semantics is presented for Storrs McCall's separate axiomatizations of Aristotle's accepted and rejected polysyllogisms. The polysyllogisms under discussion are made up of either assertoric or apodeictic propositions. The semantics is given by associating a property with a pair of sets: one set consists of things having the property essentially and the other of things having it accidentally. A completeness proof and a semantic decision procedure are given.

One semantic and two syntactic decision procedures are given for determining the validity of Aristotelian assertoric and apodeictic syllogisms. Results are obtained by using the Aristotelian deductions that necessarily have an even number of premises.

A theorem due to Shoesmith and Smiley that axiomatizes two-valued multiple-conclusion logics is extended to partial logics.

Counting functions are shown to be complete by using a simpler argument than that used by Pelletier and Martin.

Parry discusses an extension of Aristotle's syllogistic that uses four nontraditional quantifiers. We show that his conjectured decision procedure for validity for the extended syllogistic is correct even if syllogisms have more than two premises. And we axiomatize this extension of the syllogistic.

The paper shows that for any invalid polysyllogism there is a procedure for constructing a model with a domain with exactly three members and an interpretation that assigns non-empty, non-universal subsets of the domain to terms such that the model invalidates the polysyllogism.

McCall's system for contingent syllogisms is modified. A semantics for the resulting system is provided.

Fred's semantics for McCall's syntactic presentation of Aristotle's assertoric and apodeictic syllogistic is altered to free it from Thom's objections that it is unAristotelian. The altered semantics rejects Baroco-XLL and Bocardo-LXL, which Thom says Aristotle should have accepted. Aristotle's proofs that use ecthesis are formalized by using singular sentences. With one exception the (acceptance) axioms for McCall's system L-X-M are derivable. Formal proofs are shown to be sound.

Aristotle's syllogistic is extended to include denumerably many quantifiers such as 'more than 2/3' and 'exactly 2/3.' Syntactic and semantic decision procedures determine the validity, or invalidity, of syllogisms with any finite number of premises. One of the syntactic procedures uses a natural deduction account of deducibility, which is sound and complete. The semantics for the system is non-classical since sentences may be assigned a value other than true or false. Results about symmetric systems are given. And reasons are given (...) for claiming that syllogistic validity is relevant validity. (shrink)

Fred shows how problems with Slater's restriction of the classical propositional logic can be solved.

Consequence rleations over sets of "judgments" are defined by using "overdetermined" as well as "underdetermined" valuations. Some of these relations are shown to be categorical. And generalized soundness and completeness results are given for both multiple and single conclusion consequence relations.

Syllogisms with or without negative terms are studied by using Gergonne's ideas. Soundness, completeness, and decidability results are given.

The possibilities of unconscious perception and unconscious bias prompt parallel debates about unconscious mental content. This chapter argues that claims within these debates alleging the existence of unconscious content are made fraught by ambiguity and confusion with respect to the two central concepts they involve: consciousness and content. Borrowing conceptual resources from the debate about unconscious perception, the chapter distills the two conceptual puzzles concerning each of these notions and establishes philosophical strategies for their resolution. It then argues that empirical (...) evidence for unconscious bias falls victim to these same puzzles, but that progress can be made by adopting similar philosophical strategies. Throughout, the chapter highlights paths forward in both debates, illustrates how they serve as fruitful domains in which to study the relationship between philosophy and empirical science, and uses their combined study to further understanding of a general theory of unconscious content. (shrink)

Democritus of Abdera, best known as a cosmologist and the founder of atomism, wrote more on ethics than anyone before Plato. His work Peri euthumiês (On Contentment) was extremely influential on the later development of teleological and intellectualist ethics, eudaimonism, hedonism, therapeutic ethics, and positive psychology. The loss of his works, however, and the transmission of his fragments in collections of maxims (gnomai), has obscured the extent his contribution to the history of systematic ethics and influence on later philosophy, especially (...) in the Hellenistic age. In this essay I review the evidence basis for Democritus’ ethics, discuss the rhetorical and logical aspects of his maxims, attempt to synthesize the fragments into an overall interpretation, and offer a summary some of the more influential aspects of his ethics. (shrink)

Archytas of Tarentum, a contemporary and associate of Plato, was a famous Pythagorean, mathematician, and statesman of Tarentum. Although his works are lost and most of the fragments attributed to him were composed in later eras, they nevertheless contain valuable information about his thought. In particular, the fragments of On Law and Justice are likely based on a work by the early Peripatetic biographer Aristoxenus of Tarentum. The fragments touch on key themes of early Greek ethics, including: written and unwritten (...) laws; freedom and self-sufficiency; moderation of the emotions and cultivation of virtues; equality and the competence of the majority to participate in government; criticism of “rule by an individual”; a theory of the ideal “mixed constitution”; distributive and corrective justice and punishment, and of the rule of law. The fragments also contain one of the only positive accounts of democracy in ancient Greek philosophy. (shrink)

This paper has three major aims. The first is to defend the hypothesis that Aristotle’s lost work Protrepticus was a dialogue. The second is to explore the genres of ancient apotreptics, speeches that argue against doing philosophy and show the need for protreptic responses; our exploration is guided by Aristotle’s own analysis of apotreptics as well as protreptics in his Rhetorica. The third aim is to restore to the evidence base of Aristotle’s Protrepticus an apotreptic speech that argues against doing (...) Academic philosophy, evidence that was incorrectly excluded by Ingemar Düring in 1961. (shrink)

We hope to show that the overall protreptic plan of Aristotle's ethical writings is based on the plan he used in his published work Protrepticus (Exhortation to Philosophy), by highlighting those passages that primarily offer hortatory or protreptic motivation rather than dialectical argumentation and analysis, and by illustrating several ways that Aristotle adapts certain arguments and examples from his Protrepticus. In this essay we confine our attention to the books definitely attributable to the Nicomachean Ethics (thus excluding the common books).

A new translation and edition of Aristotle's Protrepticus (with critical comments on the fragments) -/- Welcome -/- The Protrepticus was an early work of Aristotle, written while he was still a member of Plato's Academy, but it soon became one of the most famous works in the whole history of philosophy. Unfortunately it was not directly copied in the middle ages and so did not survive in its own manuscript tradition. But substantial fragments of it have been preserved in several (...) works by Iamblichus of Chalcis, a third century A.D. neo-Pythagorean philosopher and educator. On the basis of a close study of Iamblichus' extensive use and excerption of Aristotle's Protrepticus, it is possible to reconstruct the backbone of the lost work, and then to flesh it out with the other surviving reports about the work from antiquity (for example in Alexander of Aphrodisias and other ancient commentators on Aristotle). It is also possible to identify several papyrus fragments of the work, and many references and literary allusions in later authors, especially Cicero, whose own lost dialogue Hortensius was a defense of philosophy modeleld on Aristotle's. (shrink)

In this article, I shall contend that Rawlsian public reason liberalism (PRL) is in tension with non-anthropocentric environmentalism. I will argue that many reasonable citizens reject non-anthropocentric values, and PRL cannot allow them to be used as the justification for ecological policies. I will analyse attempts to argue that PRL can incorporate non-anthropocentric ideas. I shall consider the view, deployed by theorists such as Derek Bell and Mark A. Michael, that PRL can make a distinction between constitutional essentials and non-essentials, (...) and therefore ecocentric values can be employed when only non-essentials are at stake. I will also consider Simon Hailwood’s argument that PRL can incorporate concern for nature based on its ‘otherness’. I shall conclude that both positions fail to rebut the claim that PRL excludes non-anthropocentric viewpoints. I will consider the question of whether PRL’s exclusion of non-anthropocentric ethics is a problem, and I shall show that appealing to purely anthropocentric arguments leads to a variety of unpalatable conclusions. I will suggest that comprehensive liberalism can include non-anthropocentric concerns, and hence is superior from an environmental perspective. (shrink)

The epistemological situation of a single cell is considered. In chemotaxis, the relation between perception and action is found to be lawful and bidirectional. Consideration of the perception/action relation allows a characterization of the phe- nomenal world of the cell. This phenomenal world is grounded in perceptual distinctions that are relevant to the sustained vi- ability of the cell. Moving up the phylogenetic chain, this lawfulness, and its relation to the phenomenal world of ex- perience, is found to be essentially (...) unchanged in multicellular organisms. Nervous systems add some innovation, in allow- ing distal responses and the non-linear combination of infor- mation, but from cell to human, the differentiation of the phe- nomenal world is found to arise from the lawfulness of the perception/action relation, which in turn reflects the biologi- cal constitution of the organism, and not a pre-given objec- tive world. This recognition suggests that rather than looking within the nervous system for representations of pre-given, ex- ternal, entities, one might do better to explore the fit between the function of the nervous system and the phenomenal, mean- ingful, world encountered by the organism in experience. (shrink)

There has been much interest in conspiracy theories (CTs) amongst philosophers in recent years. The aim of this paper will be to apply some of the philosophical research to issues in political theory. I will first provide an overview of some of the philosophical discussions about CTs. While acknowledging that particularism is currently the dominant position in the literature, I will contend that the ‘undue scepticism problem’, a modified version of an argument put forward by Brian Keeley, is an important (...) general objection to many CTs. This in turn leads to some substantial conclusions for liberal political philosophy, as the undue scepticism problem sets up a strong argument against non-liberal alternatives to liberal thought. I shall argue that we are justified in having far more doubt about the reliability of official sources in non-liberal societies, and it is legitimate to be more sceptical about claims designed to bolster non-liberal politics. Moreover, because scepticism is often more warranted in non-liberal societies, this may provide the possibility for the state to be stable, even if it is highly tyrannical or ineffective. These considerations are not intended to be decisive, but raise unresolved questions about the viability of non-liberal politics. (shrink)

Philosophical interest in situated cognition has been focused most intensely on the claim that human cognitive processes extend from the brain into the tools humans use. As we see it, this radical hypothesis is sustained by two kinds of mistakes, the confusion of coupling relations with constitutive relations and an inattention to the mark of the cognitive. Here we wish to draw attention to these mistakes and show just how pervasive they are. That is, for all that the radical philosophers (...) have said, the mind is still in the head. (shrink)

In this paper, I present my solutions to two closely related questions about pleasure. One of these questions is fairly well known. The second question seems to me to be at least as interesting as the first, but it apparently hasn't interested quite so many philosophers.

Embodied cognition is sweeping the planet. On a non-embodied approach, the sensory system informs the cognitive system and the motor system does the cognitive system’s bidding. There are causal relations between the systems but the sensory and motor systems are not constitutive of cognition. For embodied views, the relation to the sensori-motor system to cognition is constitutive, not just causal. This paper examines some recent empirical evidence used to support the view that cognition is embodied and raises questions about some (...) of the claims being made by supporters. (shrink)

In a recent paper, Tristan Haze offers two examples that, he claims, are counterexamples to Nozick's Theory of Knowledge. Haze claims his examples work against Nozick's theory understood as relativized to belief forming methods M. We believe that they fail to be counterexamples to Nozick's theory. Since he aims the examples at tracking theories generally, we will also explain why they are not counterexamples to Dretske's Conclusive Reasons Theory of Knowledge.

In this article, we will describe higher order thought theories of consciousness. Then we will describe some examples from synesthesia. Finally, we will explain why the latter may be relevant to the former.

ABSTRACT Drawing inspiration from Fred Dretske, L. S. Carrier, John A. Barker, and Robert Nozick, we develop a tracking analysis of knowing according to which a true belief constitutes knowledge if and only if it is based on reasons that are sensitive to the fact that makes it true, that is, reasons that wouldn’t obtain if the belief weren’t true. We show that our sensitivity analysis handles numerous Gettier-type cases and lottery problems, blocks pathways leading to skepticism, and validates (...) the epistemic closure thesis that correct inferences from known premises yield knowledge of the conclusions. We discuss the plausible views of Ted Warfield and Branden Fitelson regarding cases of knowledge acquired via inference from false premises, and we show how our sensitivity analysis can account for such cases. We present arguments designed to discredit putative counterexamples to sensitivity analyses recently proffered by Tristan Haze, John Williams and Neil Sinhababu, which involve true statements made by untrustworthy informants and strange clocks that sometimes display the correct time while running backwards. Finally, we show that in virtue of employing the paradox-free subjunctive conditionals codified by Relevance Logic theorists instead of the paradox-laden subjunctive conditionals codified by Robert Stalnaker and David Lewis. (shrink)

This study steps beyond the traditional arguments of feminism and examines homebirth from a libertarian perspective. It addresses the debate over homebirth and midwifery, which includes the use of direct-entry midwives as well as the philosophical implications of individual autonomy expressed through consumer choice. Furthermore, this paper demonstrates that the medical establishment gains economic and political control primarily through medical licensing, and uses the state to undermine personal freedom as it advances a government-enforced monopoly on birth. At the same time, (...) empirical studies have established a substantial record of high safety and low medical complication rates for homebirth as compared to hospital births. Ultimately, the state’s restriction on medical choices is incompatible with the nonaggression principle and voluntarism, and therefore, with libertarianism. (shrink)

In a recent very interesting and important challenge to tracking theories of knowledge, Williams & Sinhababu claim to have devised a counter-example to tracking theories of knowledge of a sort that escapes the defense of those theories by Adams & Clarke. In this paper we will explain why this is not true. Tracking theories are not undermined by the example of the backward clock, as interesting as the case is.

As artforms, film and street art seem incompatible. Contra this incompatibility, I investigate their combination: cinematic street art. Two promising cases are the artworks MUTO and Repopulate, but I argue neither is suitable. MUTO only counts if I accept the transparency thesis, the claim that photographs allow us to literally see their depicta. Repopulate only counts if we reject Noel Carroll’s requirement that a cinematic performance token isn’t itself an artwork. However, these imperfect cases demonstrate what is required in order (...) to have cinematic street art: the artwork is a 1) aconsensual artwork that 2) does not merely use street art as imagery or 3) merely use the street as a performance space. I introduce two hypothetical artworks inspired by this approach and discuss their merits, as well as their pitfalls relevant to my own desiderata. As such, this article serves as the foment for broader discussion within the philosophy of street art. (shrink)

"Over three years of study and fellowship, sixteen Muslim, Jewish, and Christian scholars sought to answer one question: “Do our three scriptures unite or divide us?” They offer their answers in this book: sixteen essays on how certain ways of reading scripture may draw us apart and other ways may draw us, together, into the source that each tradition calls peace. Reading scriptural sources in the classical and medieval traditions, the authors examine how each tradition addresses the “other” within its (...) tradition and without, how all three traditions attend to poverty as a societal and spiritual condition, and what it means to read scripture while facing the challenges of modernity. Ochs and Johnson have assembled a unique approach to inter-religious scholarship and a rare look at scriptural study as a pathway to peace. “Scriptural reasoning, the growing practice of Jews, Christians, and Muslims reading their scriptures together, makes good academic and common sense in a time of crisis. This ground-breaking book, the outcome of an imaginative 3-year experiment by the Princeton Center of Theological Inquiry, shows scholars and thinkers of the Abrahamic traditions going deeper into the traditions and into their contemporary situation. The result is something new, wise, and relevant… full of promise for the future. Where else can one find testimonies to Jews, Christians, and Muslims coming together not only in study, thinking, and wisdom-seeking but also in play, joy, and friendship?”--David F. Ford, Regius Professor of Divinity, University of Cambridge and Director, Cambridge Inter-Faith Programme". (shrink)

Copi's method of deduction is formalized and shown to be complete.

In recent decades, postmodernists and sociologists of science have argued that science is just one of many human activities with social and political aims -- comparable to, say, religion or art. They have questioned the objectivity of science, and whether it has any unique ability to find the truth. Not surprisingly, such claims have evoked a negative response from proponents of the traditional view of science; the debate between the two sides has been called the science wars. In the debate, (...) scientists have made few attempts to meet the postmodern critique on its own grounds, through serious reflection on the everyday practice of science. Yet that is the only way to understand the nature of science and the features that distinguish science from other activities. (shrink)

I argue that if Wittgenstein’s Private Language Argument is correct, then both Theory Theory and Simulation Theory are inadequate accounts of how we come to know other minds since both theories assume the reality of a private language. Further, following the work of a number of philosophers and psychologists, I defend a ‘Second-Person Approach’ to mindreading according to which it is possible for us to be directly aware of at least some of the mental states of others. Because it is (...) not necessary to assume a private language within the Second-Person Approach, I argue that this account of social cognition is superior to Theory-Theory and Simulation Theory since it avoids the objections of the PLA. (shrink)

Last year Charlotte Shreve and I (Adams and Shreve 2016) presented an argument that synesthesia contains evidence against higher order thought theories of consciousness. Rocco Gennaro (2016) took up the challenge and argued that H.O.T. theories like his could handle the example and dismiss the argument. Below we suggest otherwise. We think the traditional versions of H.O.T. theory are still vulnerable to our argument and we maintain that Gennaro’s version is as well.

In the 17th century, Hobbes stated that we reason by addition and subtraction. Historians of logic note that Hobbes thought of reasoning as “a ‘species of computation’” but point out that “his writing contains in fact no attempt to work out such a project.” Though Leibniz mentions the plus/minus character of the positive and negative copulas, neither he nor Hobbes say anything about a plus/minus character of other common logical words that drive our deductive judgments, words like ‘some’, ‘all’, ‘if’, (...) and ‘and’, each of which actually turns out to have an oppositive, character that allows us, “in our silent reasoning,” to ignore its literal meaning and to reckon with it as one reckons with a plus or a minus operator in elementary algebra or arithmetic. These ‘logical constants’ of natural language figure crucially in our everyday reasoning. Because Hobbes and Leibniz did not identify them as the plus and minus words we reason with, their insight into what goes on in ‘ratiocination’ did not provide a guide for a research program that could develop a +/- logic that actually describes how we reason deductively. I will argue that such a +/- logic provides a way back from modern predicate logic—the logic of quantifiers and bound variables that is now ‘standard logic’—to an Aristotelian term logic of natural language that had been the millennial standard logic. (shrink)

John Rawls’ A Theory of Justice allows social facts behind his veil-of-ignorance, thereby lessening the veil’s capacity for neutrality and defense of liberal principles. Rawls assumes social facts are discoverable without presupposed political values. But even if value-neutral social science is possible, real-world opinions, defined by political/social world-views, open the veil to bias since social facts from a non-liberal view may bolster non-liberal programmes. Alternatively, depriving those behind the veil of knowledge of social facts strips them of vital information necessary (...) for creating a just, well-organized society. These reservations do not constitute decisive criticisms but point out unresolved tension in Rawls’ original position, and the veil’s status of neutrality is undermined. (shrink)