In a paper read before the last Congress for the Unity of Science, Dr. Milton Singer distinguishes three main phases in the recent history of logic. The achievement he considers most characteristic of the first period is the development of the class calculus or so-called Boolean algebra. It begins with the work of Boole and DeMorgan and culminates in Schroeder's Algebra of Logic. In a minimum formulation, the results of this first stage can be summed up as, first, simplification and (...) generalization of the traditional syllogistic machinery by means of a rather efficient new symbolism, and, second, adoption of the axiomatic method. To restate the last point: Boolean algebra was, since Leibniz, the first explicit attempt to construct what we call a formal system or calculus. Not realized at that time, however, or at least not adequately expressed, was the importance of the more recent distinction between scientific calculi on the one hand and purely linguistic or logical calculi on the other. As a consequence of this lack of explicit insight, the class calculus appeared to be on a par with scientific calculi, say, for instance, axiomatized geometry, Euclidean or otherwise. Its analytical character, even if it was seen, could not be formulated. (shrink)

This book is a critical and analytical survey of the major attempts, in modern philosophy, to deal with the phenomenon of intentionality—those of Descartes, Brentano, Meinong, Husserl, Frege, Russell, Bergmann, Chisholm, and Sellars. By coordinating the semantical approaches to the phenomenon, Dr. Aquila undertakes to provide a basis for dialogue among philosophers of different persuasions. "Intentionality" has become, since Franz Brentano revived its original medieval use, the standard term describing the mind's apparently paradoxical capacity to relate itself to objects (...) existing in the world. One approach to the phenomenon emphasizes the mental act. The author argues that the most adequate account involves elements of both approaches. Contemporary treatments tend to formulate problems of intentionality primarily in terms of logic and semantics rather than those of metaphysics and phenomenology. Dr. Aquila's effort to coordinate these approaches will make his book useful to students both of analytical philosophy of mind and also of phenomenology. (shrink)

Virtually all philosophers agree that for a belief to be epistemically justified, it must satisfy certain conditions. Perhaps it must be supported by evidence. Or perhaps it must be reliably formed. Or perhaps there are some other "good-making" features it must have. But does a belief's justification also require some sort of awareness of its good-making features? The answer to this question has been hotly contested in contemporary epistemology, creating a deep divide among its practitioners. Internalists, who tend to focus (...) on scientific or theoretical beliefs as the ideal, insist that such awareness is required for justification. Externalists, who think children's ordinary beliefs in obvious facts are paradigm cases of justified belief, say it isn't required. Michael Bergmann's book offers a decisive refutation of internalism and a sustained defense of externalism. (shrink)

Some evidential arguments from evil rely on an inference of the following sort: ‘If, after thinking hard, we can't think of any God-justifying reason for permitting some horrific evil then it is likely that there is no such reason’. Sceptical theists, us included, say that this inference is not a good one and that evidential arguments from evil that depend on it are, as a result, unsound. Michael Almeida and Graham Oppy have argued (in a previous issue of this journal) (...) that Michael Bergmann's way of developing the sceptical theist response to such arguments fails because it commits those who endorse it to a sort of scepticism that undermines ordinary moral practice. In this paper, we defend Bergmann's sceptical theist response against this charge. (shrink)

Internalists tend to impose on justification higher-level requirements, according to which a belief is justified only if the subject has a higher-level belief (i.e., a belief about the epistemic credentials of a belief). I offer an error theory that explains the appeal of this requirement: analytically, a belief is not justified if we have a defeater for it, but contingently, it is often the case that to avoid having defeaters, our beliefs must satisfy a higher-level requirement. I respond to the (...) objection that externalists who endorse this error theory will be forced to accept a radical form of scepticism. (shrink)

Radical skepticism endorses the extreme claim that large swaths of our ordinary beliefs, such as those produced by perception or memory, are irrational. The best arguments for such skepticism are, in their essentials, as familiar as a popular science fiction movie and yet even seasoned epistemologists continue to find them strangely seductive. Moreover, although most contemporary philosophers dismiss radical skepticism, they cannot agree on how best to respond to the challenge it presents. In the tradition of the 18th century Scottish (...) philosopher, Thomas Reid, Radical Skepticism and Epistemic Intuition joins this discussion by taking up four main tasks. First, it identifies the strongest arguments for radical skepticism, namely, underdetermination arguments, which emphasize the gap between our evidence and our ordinary beliefs based on that evidence. Second, it rejects all inferential or argument-based responses to radical skepticism, which aim to lay out good noncircular reasoning from the evidence on which we base our ordinary beliefs to the conclusion that those beliefs are probably true. Third, it develops a commonsense noninferential response to radical skepticism with two distinctive features: it consciously and extensively relies on epistemic intuitions, which are seemings about epistemic goods, such as knowledge and rationality, and it can be endorsed without difficulty by both internalists and externalists in epistemology. Fourth, and finally, it defends this commonsense epistemic-intuition-based response to radical skepticism against a variety of objections, including those connected with underdetermination worries, epistemic circularity, disagreement problems, experimental philosophy, and concerns about whether it engages skepticism in a sufficiently serious way. (shrink)

Skeptical theists endorse the skeptical thesis (which is consistent with the rejection of theism) that we have no good reason for thinking the possible goods we know of are representative of the possible goods there are. In his newest formulation of the evidential arguments from evil, William Rowe tries to avoid assuming the falsity of this skeptical thesis, presumably because it seems so plausible. I argue that his new argument fails to avoid doing this. Then I defend that skeptical thesis (...) against objections, thereby supporting my contention that relying on its falsity is a weakness in an argument. (shrink)

* Editor’s Note: This paper won the Young Epistemologist Prize for the Rutgers Epistemology conference held in 2003.

Professor Merrie Bergmann presents an accessible introduction to the subject of many-valued and fuzzy logic designed for use on undergraduate and graduate courses in non-classical logic. Bergmann discusses the philosophical issues that give rise to fuzzy logic - problems arising from vague language - and returns to those issues as logical systems are presented. For historical and pedagogical reasons, three-valued logical systems are presented as useful intermediate systems for studying the principles and theory behind fuzzy logic. The major (...) fuzzy logical systems - Lukasiewicz, Gödel, and product logics - are then presented as generalisations of three-valued systems that successfully address the problems of vagueness. A clear presentation of technical concepts, this book includes exercises throughout the text that pose straightforward problems, that ask students to continue proofs begun in the text, and that engage students in the comparison of logical systems. (shrink)

The question I consider is this: -/- The Question: Can two people–who are, and realize they are, intellectually virtuous to about the same degree–both be rational in continuing knowingly to disagree after full disclosure (by each to the other of all the relevant evidence they can think of) while at the same time thinking that the other may well be rational too? -/- I distinguish two kinds of rationality–internal and external–and argue in section 1 that, whichever kind we have in (...) mind, the answer to The Question is ‘yes’ (though that positive answer is less wholehearted in the case of external rationality). Then, in section 2, I briefly make some more general remarks about when discovering a disagreement provides a defeater and when it doesn't. In the final section, I consider an important objection to the answer given in section 1 to The Question. (shrink)

The most interesting thing about sceptical theism is its sceptical component. When sceptical theists use that component in responding to arguments from evil, they think it is reasonable for their non-theistic interlocutors to accept it, even if they don't expect them to accept their theism. This article focuses on that sceptical component. The first section explains more precisely what the sceptical theist's scepticism amounts to and how it is used in response to various sorts of arguments from evil. The next (...) section considers and responds to objections to sceptical theism. It is shown that just as there are non-theists who accept the sceptical theist's scepticism, so also are there theists who reject it. (shrink)

Challenges to Moral and Religious Belief contains fourteen original essays by philosophers, theologians, and social scientists on challenges to moral and religious belief from disagreement and evolution. Three main questions are addressed: Can one reasonably maintain one's moral and religious beliefs in the face of interpersonal disagreement with intellectual peers? Does disagreement about morality between a religious belief source, such as a sacred text, and a non-religious belief source, such as a society's moral intuitions, make it irrational to continue trusting (...) one or both of those belief sources? Should evolutionary accounts of the origins of our moral beliefs and our religious beliefs undermine our confidence in their veracity? This volume places challenges to moral belief side-by-side with challenges to religious belief, sets evolution-based challenges alongside disagreement-based challenges, and includes philosophical perspectives together with theological and social science perspectives, with the aim of cultivating insights and lines of inquiry that are easily missed within a single discipline or when these topics are treated in isolation. The result is a collection of essays--representing both skeptical and non-skeptical positions about morality and religion--that move these discussions forward in new and illuminating directions. -/- Contributors: Robert Audi, University of Notre Dame; Michael Bergmann, Purdue University; Sarah Brosnan, Georgia State University; William FitzPatrick, University of Rochester; John Hare, Yale University; Timothy P. Jackson, Emory University; Patrick Kain, Purdue University; Jordan Kiper, University of Connecticut; Dustin Locke, Claremont McKenna College; Charles Mathewes, University of Virginia; Mark C. Murphy, Georgetown University; John Pittard, Yale Divinity School; Walter Sinnott-Armstrong, Duke University; Richard Sosis, University of Connecticut; Sharon Street, New York University; Joshua Thurow, University of Texas at San Antonio; Ralph Wedgwood, University of Southern California. (shrink)

Comprehensive coverage of the special theory (frames of reference, Lorentz transformation, relativistic mechanics of mass points, more), the general theory ...

Despite various attempts to rectify matters, the internalism-externalism (I-E) debate in epistemology remains mired in serious confusion. I present a new account of this debate, one which fits well with entrenched views on the I-E distinction and illuminates the fundamental disagreements at the heart of the debate. Roughly speaking, the I-E debate is over whether or not certain of the necessary conditions of positive epistemic status are internal. But what is the sense of internal here? And of which conditions of (...) which positive epistemic status are we speaking? I argue that an adequate answer to these questions requires reference to what I call the no-defeater condition which is satisfied by a subjects belief B just in case she does not believe that B is defeated. I close by stating succinctly the main positions taken in the I-E debate, identifying the basic points of disagreement and suggesting fruitful courses for future discussion. (shrink)

It’s not implausible to think that whenever I have a justified noninferential belief that p, it is caused by a seeming that p. It’s also tempting to think that something contributes to the justification of my belief only if I hold my belief because of that thing. Thus, given that many of our noninferential beliefs are justified and that we hold them because of seemings, one might be inclined to hold a view like Phenomenal Conservatism, according to which seemings play (...) a crucial role—perhaps the only crucial role—in the justification of our noninferential beliefs. But Phenomenal Conservatism seems to conflict, in a number of ways, with externalist accounts of justification. As a result, the attractiveness of the intuitions appealed to in support of views like Phenomenal Conservatism present something of a challenge to externalism. The purpose of this paper is to deal with that challenge by developing and defending an externalist-friendly account of the role of seemings in the formation and justification of our noninferential beliefs—an account that incorporates what is attractive in views like Phenomenal Conservatism. Because this externalist-friendly account is compatible with both externalist accounts of justification and the plausible elements of views like Phenomenal Conservatism, the challenge to externalism inspired by such views is thereby undermined. (shrink)

Predication is an indisputable part of our linguistic behavior. By contrast, the metaphysics of predication has been a matter of dispute ever since antiquity. According to Plato—or at least Platonism, the view that goes by Plato’s name in contemporary philosophy—the truths expressed by predications such as “Socrates is wise” are true because there is a subject of predication (e.g., Socrates), there is an abstract property or universal (e.g., wisdom), and the subject exemplifies the property.1 This view is supposed to be (...) general, applying to all predications, whether the subject of predication is a person, a planet, or a property.2 Despite the controversy surrounding the metaphysics of predication, many theistic philosophers—including the majority of contemporary analytic theists—regard Platonism as extremely attractive. At the same time, however, such philosophers are also commonly attracted to a form of traditional theism that has at its core the thesis that God is an absolutely independent.. (shrink)

This posthumous work by Gustav Bergmann was essentially complete before his death in 1987.

In previous work I have argued against internalism by means of a dilemma intended to force all internalists to accept one of two undesirable options: either their internalism is unmotivated or it is saddled with vicious regress problems. Recently it has been argued that Phenomenal Conservatism—a theory of justification according to which justification depends on seemings—is a kind of internalism that can escape this dilemma. In this paper, I argue that Phenomenal Conservatism cannot escape my dilemma for internalism. In order (...) to do this, it is helpful to get clear on what Phenomenal Conservatism is saying, and for that reason I begin, in section I, by examining in some detail what seemings are. I then argue, in the remainder of the paper, that, whichever horn of the dilemma for internalism they take, Phenomenal Conservatives are in trouble. (shrink)

In this paper I am concerned with two questions: What is sexist humor? and what is wrong with it? To answer the first question, I briefly develop a theory of humor and then characterize sexist humor as humor in which sexist beliefs (attitudes/norms) are presupposed and are necessary to the fun. Concerning the second question, I criticize a common sort of argument that is supposed to explain why sexist humor is offensive: although the argument explains why sexist humor feels offensive, (...) it does not place responsibility for the offense in the humorist or audience that enjoys sexist humor. I develop an alternate account of the offense in sexist humor that places responsibility for offense in precisely those quarters. (shrink)

Actualism is the thesis that necessarily, everything that there is exists. Serious actualism is the thesis that necessarily, no object has a property in a world in which it does not exist. Let's call the claim that actualism entails serious actualism the Entailment Thesis (ET). In this paper I will improve upon a previous argument of mine for (ET). I will then consider the prospects for defending a similar thesis in the temporal realm—the thesis that presentism entails serious presentism.