on great currency in analytic philosophical aesthetics. What is not generally known is that the American philosopher Eli Siegel called the philosophy he founded in the 1940s Aesthetic Realism. His philosophy has as its central principle: ‘The world, art, and self explain each other: each is the aesthetic oneness of opposites.’ Thus, two distinct uses of the same terminology exist, and should not be confused.

For more than thirty years the writings and influence of one man in particular have dominated and directed the field of modern business ethics. We are indebted to two of his fellow‐Americans for this portrait of Richard T. De George. R. Edward Freeman is the Elis and Signe Olsson Professor of Business Administration and Director of the Olsson Center for Ethics at The Darden School, University of Virginia, Charlottesville, VA 22906‐6550; and Martin Calkins, SJ, is a Research Assistant in (...) the Olsson Center and a doctoral student in business ethics at the Darden School. (shrink)

For more than thirty years the writings and influence of one man in particular have dominated and directed the field of modern business ethics. We are indebted to two of his fellow‐Americans for this portrait of Richard T. De George. R. Edward Freeman is the Elis and Signe Olsson Professor of Business Administration and Director of the Olsson Center for Ethics at The Darden School, University of Virginia, Charlottesville, VA 22906‐6550; and Martin Calkins, SJ, is a Research Assistant in (...) the Olsson Center and a doctoral student in business ethics at the Darden School. (shrink)

An ambitious, rich, and challenging work, Eli Friedlander’s Signs of Sense attempts to trace the path of Wittgenstein’s Tractatus Logico-Philosophicus, from the world, to its threatened loss by way of failed and ultimately nonsensical efforts to account for our relation to it, to its recovery as a significant whole, a meaningful habitation for human beings, in the uses we make of everyday language. Aiming to account for nothing less than the purpose of the Tractatus, its overall effects on its readers, (...) Friedlander has provocative things to say about two centrally important issues—the role of the nonsense that the Tractatus itself produces and the relation between the ostensibly logical and ethical facets of Wittgenstein’s text. Part 1 works through the text of the Tractatus more or less in order and in relative isolation from interpretative controversy. Here Friedlander lays out the ontological distinctions that occupy Wittgenstein at the outset; examines the identity of form between language and world that makes representation possible; deepens our understanding of Wittgenstein’s “fundamental idea … that ‘logical constants’ are not representatives”; proposes an original reading of the Tractarian treatment of solipsism and the sense in which “what the solipsist means is quite correct”; and finally, tries to demonstrate the ethical significance of the movement of the Tractatus as a whole and its culmination in apparent self-annihilation. Part 2 helps to fix our understanding of the intricate and subtle reading offered in part 1: chapter 11, by situating it with respect to major interpretative issues, and chapter 12, by giving an interesting account of Wittgenstein’s initial moves away from the Tractatus in the 1929 “Remarks on Logical Form.”. (shrink)

This book tackles the issues that arise in connection with intensional logic -- a formal system for representing and explaining the apparent failures of certain important principles of inference such as the substitution of identicals and existential generalization -- and intentional states --mental states such as beliefs, hopes, and desires that are directed towards the world. The theory offers a unified explanation of the various kinds of inferential failures associated with intensional logic but also unifies the study of intensional contexts (...) and intentional states by grounding the explanation of both phenomena in a single theory. When an axiomatized realm of abstract entities is added to the metaphysical structure of the world, we can use them to identify and individuate the contents of directed mental states. The special abstract entities can be viewed as the objectified contents of mental files, and they play a crucial role in the analysis of truth conditions of the sentences involved in inferential failures. (shrink)

The formulation of propositional modal logic is revised by interposing a domain of structured propositions between the modal language and the models. Interpretations of the language (i.e., ways of mapping the language into the domain of propositions) are distinguished from models of the domain of propositions (i.e., ways of assigning truth values to propositions at each world), and this contrasts with the traditional formulation. Truth and logical consequence are defined, in the first instance, as properties of, and relations among, propositions. (...) -/- These definitions have certain interesting consequences. One is that they resolve a question that cannot be answered by the traditional analysis, in which Kripke models directly interpret modal language. The question is, is the reason a modal sentence has a different truth value at other possible worlds due to the fact that the sentence has a different meaning at that world or due to a change in the world? The philosophical conception elaborates the second answer. Another interesting consequence is that modal language, properly speaking, is not intensional, at least according to the classic tests for, and definitions of, intensionality. (shrink)

In this paper, the author develops a theory of concepts and shows that it captures many of the ideas about concepts that Leibniz expressed in his work. Concepts are first analyzed in terms of a precise background theory of abstract objects, and once concept summation and concept containment are defined, the axioms and theorems of Leibniz's calculus of concepts (in his logical papers) are derived. This analysis of concepts is then seamlessly connected with Leibniz's modal metaphysics of complete individual concepts. (...) The fundamental theorem of Leibniz's modal metaphysics of concepts is proved, namely, whenever an object x has F contingently, then (i) the individual concept of x contains the concept F and (ii) there is a (counterpart) complete individual concept y which doesn't contain the concept F and which `appears' at some other possible world. Finally, the author shows how the concept containment theory of truth can be made precise and made consistent with a modern conception of truth. (shrink)

The so-called ergodic hierarchy (EH) is a central part of ergodic theory. It is a hierarchy of properties that dynamical systems can possess. Its five levels are egrodicity, weak mixing, strong mixing, Kolomogorov, and Bernoulli. Although EH is a mathematical theory, its concepts have been widely used in the foundations of statistical physics, accounts of randomness, and discussions about the nature of chaos. We introduce EH and discuss its applications in these fields.

In many learning or inference tasks human behavior approximates that of a Bayesian ideal observer, suggesting that, at some level, cognition can be described as Bayesian inference. However, a number of findings have highlighted an intriguing mismatch between human behavior and standard assumptions about optimality: People often appear to make decisions based on just one or a few samples from the appropriate posterior probability distribution, rather than using the full distribution. Although sampling-based approximations are a common way to implement Bayesian (...) inference, the very limited numbers of samples often used by humans seem insufficient to approximate the required probability distributions very accurately. Here, we consider this discrepancy in the broader framework of statistical decision theory, and ask: If people are making decisions based on samples—but as samples are costly—how many samples should people use to optimize their total expected or worst-case reward over a large number of decisions? We find that under reasonable assumptions about the time costs of sampling, making many quick but locally suboptimal decisions based on very few samples may be the globally optimal strategy over long periods. These results help to reconcile a large body of work showing sampling-based or probability matching behavior with the hypothesis that human cognition can be understood in Bayesian terms, and they suggest promising future directions for studies of resource-constrained cognition. (shrink)

PYRRHONIAN BUDDHISM: AN IMAGINATIVE RECONSTRUCTION -/- Author: -/- Adrian Kuzminski 279 Donlon Road Fly Creek, NY 13337 USA -/- Description of Pyrrhonian Buddhism: -/- The ancient Greek sceptic philosopher, Pyrrho of Elis, accompanied Alexander the Great to India, where he had contacts with Indian sages, so-called naked philosophers (gymnosophists), among whom were very probably Buddhist mendicants, or sramanas. My work, entitled Pyrrhonian Buddhism, takes seriously the hypothesis that Pyrrho’s contact with early Buddhists was the occasion of his rethinking, in a (...) Greek philosophical idiom, of what he experienced in those encounters. This has major implications for our understanding of both Buddhism and Pyrrhonism. -/- Pyrrho’s rethinking of Buddhism, I argue, enabled him to introduce into Greek philosophy and culture several key Buddhist notions. These include the primacy and interdependence of immediate phenomenal experience (which the Buddhists called dependent origination), the suspension of judgment about beliefs lacking phenomenal verification (reflecting the scepticism of the Buddha about ‘unanswered’ or ‘metaphysical’ questions), and the promise of personal enlightenment said to follow such suspension, which Pyrrho called ataraxia, and the Buddhists called bodhi. -/- Pyrrho, like Socrates, wrote nothing, but the movement he founded—Pyrrhonism--became an important tradition in Western philosophy. When the texts of later Pyrrhonian philosophers, particularly Sextus Empiricus, were redicovered during the Renaissance, they sparked a reexamination of the foundations of knowledge, thereby helping to prompt the modern scientific revolution. -/- The notion that early Buddhism played a pivotal role in the birth of ancient Greek Pyrrhonian philosophy remains provocative, but has found increasing support in recent years. An earlier work of mine, Pyrrhonism: How the Ancient Greeks Reinvented Buddhism (Lexington Books, 2008), was, as far as I know, the first book-length comparison of the common features of the two traditions. My current work, Pyrrhonian Buddhism, seeks to broaden and deepen this comparison. It argues that ancient Greek Pyrrhonism is best understood as a fully developed but hitherto largely unrecognized Western version of Buddhism. -/- The Introduction reviews our current understanding of Pyrrhonism in light of recent scholarship on ancient Greek-Indian cultural exchanges, and outlines the methodology I employ. -/- Part I of the book offers re-readings of the classic Pyrrhonian texts, with parallels to Buddhism in mind, including Diogenes Laertius (Chapter One), Sextus Empiricus (Chapter Two) and Timon and Aulus Gellius (Chapter Three). -/- Part II enlists the rubric of the Three Turnings of the Wheel of Dharma to illuminate the fundamental points of comparison between early Buddhism and ancient Pyrrhonism. -/- The First Turning (Chapter Four) centers on the Buddhist insistence on the dependent origination of the objects of immediate consciousness, which can also be found in the understanding of immediate experience expressed in the phenomenalistic atomism of the Pyrrhonists. The Second Turning (Chapter Five), as posed by the ‘unanswered questions’ of the Buddha and the ‘emptiness’ of the Madhyamaka, finds its Pyrrhonian correlation in the suspension of judgment over ‘indeterminate’ beliefs. And the Third Turning (Chapter Six), reported as bodhi in Buddhism and ataraxia in Pyrrhonism, is shown in both traditions to follow liberation from suffering and existential angst, caused by what the Buddhists call our attachments and the Pyrrhonists call our beliefs. -/- Other Writers/Commentators: -/- Aspects of the Pyrrhonian/Buddhism question have been addressed by Edward Conze, Everard Flintoff, Thomas McEvilley, Jay Garfield, Mathew Neale, Ethan Mills, Christopher Beckwith, and Robin Brons, among other recent writers. The book-length studies on the issue (since my earlier work) are by Beckwith (Greek Buddha) and Neal (Madhyamaka and Pyrrhonism). Other writers/scholars with relevant expertise include C. W. Huntington, Jr., Charles Goodman, Stephen Batchelor, Dan Lusthaus, Rupert Gethin, and Mark Siderits. -/- . (shrink)

Historians of philosophy are often challenged to discern the relative impacts of the ideas and the actions of ancient philosophers. The ideas of these thinkers often stand alone in an almost disembodied fashion, set apart from the physicality of a philosopher, his or her personality, and even their intellectual development over time. This article considers the tension between the people, the ideas, and the social context in Late Antique Athens and Alexandria and investigates the way in which genial and difficult (...) personalities influence the fate of Neoplatonic schools in the two cities in the late fifth and early sixth centuries AD. (shrink)

Colors are sensible qualities. They are qualities that objects are perceived to have. Thus, when Norm, a normal perceiver, perceives a blue bead, the bead is perceived have a certain quality, perceived blueness. `Quality', here, is no mere synonym for property; rather, a quality is a kind of property a qualitative, as opposed to quan• titative, property. (The quantitative is a way of contrasting with the qualitative perhaps not the only way.).

As standardly conceived, an illusion is an experience of an object o appearing F where o is not in fact F. Paradigm examples of color illusion, however, do not fit this pattern. A diagnosis of this uncovers different sense of appearance talk that is the basis of a dilemma for the standard conception. The dilemma is only a challenge. But if the challenge cannot be met, then any conception of experience, such as representationalism, that is committed to the standard conception (...) is false. Perhaps surprisingly, naïve realism provides a better account of color illusion.An apparence ymaad by som Magyk. Chaucer. (shrink)

In this paper, the author derives the Dedekind-Peano axioms for number theory from a consistent and general metaphysical theory of abstract objects. The derivation makes no appeal to primitive mathematical notions, implicit definitions, or a principle of infinity. The theorems proved constitute an important subset of the numbered propositions found in Frege's *Grundgesetze*. The proofs of the theorems reconstruct Frege's derivations, with the exception of the claim that every number has a successor, which is derived from a modal axiom that (...) (philosophical) logicians implicitly accept. In the final section of the paper, there is a brief philosophical discussion of how the present theory relates to the work of other philosophers attempting to reconstruct Frege's conception of numbers and logical objects. (shrink)

The author describes an interpreted modal language and produces some clear examples of logical and analytic truths that are not necessary. These examples: (a) are far simpler than the ones cited in the literature, (b) show that a popular conception of logical truth in modal languages is incorrect, and (c) show that there are contingent truths knowable ``a priori'' that do not depend on fixing the reference of a term.

Some recently-proposed counterexamples to the traditional definition of essential property do not require a separate logic of essence. Instead, the examples can be analysed in terms of the logic and theory of abstract objects. This theory distinguishes between abstract and ordinary objects, and provides a general analysis of the essential properties of both kinds of object. The claim ‘x has F necessarily’ becomes ambiguous in the case of abstract objects, and in the case of ordinary objects there are various ways (...) to make the definition of ‘F is essential to x’ more fine-grained. Consequently, the traditional definition of essential property for abstract objects in terms of modal notions is not correct, and for ordinary objects the relationship between essential properties and modality, once properly understood, addresses the counterexample. (shrink)

Fear is a social phenomenon that develops in people facing a crisis, such as a pandemic. For instance, the entire world is currently exposed to Covid-19 pandemic, causing great fear. In the Bible, Jesus’ disciples were terrified of sinking in their boat during a storm. Although these two scenarios are different, the response is the same. Fear produces stress and anxiety disorders when not appropriately managed. This paper examines the causes of fear and how they can be addressed. Specifically, the (...) study involves determining the cause of fear and proposing a strategy based on Hope, as described by Erich in the book Revolution of Hope which positively correlates with building fortitude and endurance. Surrendering or persisting is a dialectical choice, though theology fear does not give chances. Instead, Humans only survive by depending on God. This research was involved literature reviews by utilizing reference sources, including books, journal articles, and other scientific content. (shrink)

of my axiomatic theory of abstract objects.¹ The theory asserts the ex- istence not only of ordinary properties, relations, and propositions, but also of abstract individuals and abstract properties and relations. The.

After defining a standard modal language and semantics, we offer some clear examples of logical and analytic truths that are not necessary. These examples: (a) are far simpler than the ones cited in the literature, (b) show that a popular conception of logical truth in modal languages is incorrect, and (c) show that there are contingent truths knowable ``a priori'' that do not depend on fixing the reference of a term.

This chapter contains sections titled: Introduction Demography and Democracy The Epistemological Roots of Consensus in Traditional Society A Monarchical Democracy The Evils of the Party System.

Mathematical pluralism can take one of three forms: (1) every consistent mathematical theory consists of truths about its own domain of individuals and relations; (2) every mathematical theory, consistent or inconsistent, consists of truths about its own (possibly uninteresting) domain of individuals and relations; and (3) the principal philosophies of mathematics are each based upon an insight or truth about the nature of mathematics that can be validated. (1) includes the multiverse approach to set theory. (2) helps us to understand (...) the significance of the distinguished non‐logical individual and relation terms of even inconsistent theories. (3) is a metaphilosophical form of mathematical pluralism and hasn't been discussed in the literature. In what follows, I show how the analysis of theoretical mathematics in object theory exhibits all three forms of mathematical pluralism. (shrink)

In this paper, I offer an account of the conceptual shift that occurs between the work completed by Gilles Deleuze prior to 1969 and his later work with Félix Guattari, beginning in 1972 with Anti-Oedipus. Against previous interpretations, which have concentrated on the developments initiated by Deleuze, I argue for the primary importance of Guattari's influence, especially his insistence on a theory of “machinic processes.” The importance of these processes is made manifest in Deleuze and Guattari's move away from theories (...) of structuralism. In order to carry out this task, I offer a close reading of Guattari's essay “Machine and Structure.” This essay was first written as a review of Deleuze's acclaimed work in Difference and Repetition and Logic of Sense and formed the basis for Deleuze and Guattari's first meeting. In the concluding sections of the paper, I show how the integration of the concept of the machine allows Deleuze and Guattari to develop a theory of the unconscious that operates outside of the boundaries traditionally set by structuralist analysis. (shrink)

The foregoing set of theorems forms an effective foundation for the theory of situations and worlds. All twenty-five theorems seem to be basic, reasonable principles that structure the domains of properties, relations, states of affairs, situations, and worlds in true and philosophically interesting ways. They resolve 15 of the 19 choice points defined in Barwise (1989) (see Notes 22, 27, 31, 32, 35, 36, 39, 43, and 45). Moreover, important axioms and principles stipulated by situation theorists are derived (see Notes (...) 33, 37, and 38). This is convincing evidence that the foregoing constitutes a theory of situations. Note that worlds are just a special kind of situation, and that the basic theorems of world theory, which were derived in previous work, can still be derived in this situation-theoretic setting. So there seems to be no fundamental incompatibility between situations and worlds — they may peacably coexist in the foundations of metaphysics. The theory may therefore reconcile two research programs that appeared to be heading off in different directions. And we must remind the reader that the general metaphysical principles underlying our theory were not designed with the application to situation theory in mind. This suggests that the general theory and the underlying distinction have explanatory power, for they seem to relate and systematize apparently unrelated phenomena. (shrink)

In its approach to fiction and fictional discourse, pretense theory focuses on the behaviors that we engage in once we pretend that something is true. These may include pretending to name, pretending to refer, pretending to admire, and various other kinds of make-believe. Ordinary discourse about fictions is analyzed as a kind of institutionalized manner of speaking. Pretense, make-believe, and manners of speaking are all accepted as complex patterns of behavior that prove to be systematic in various ways. In this (...) paper, I attempt to show: (1) that this systematicity is captured in the basic distinctions and representations that are central to the formal theory of abstract objects, and (2) that this formal theory need not be interpreted platonistically, but may instead have an interpretation on which the `objects' of the theory are things that pretense theorists already accept, namely, complex patterns of linguistic behavior. The surprising conclusion, then, is that a certain Wittgensteinian approach to meaning (e.g., the meaning of a term like `Holmes' is constituted by its pattern of use) bears an interesting relationship to a formal metaphysical theory and the semantic analyses of discourse constructed in terms of that theory---the former offers a naturalized interpretation of the latter, yet the latter makes the former more precise. (shrink)

The author engages a question raised about theories of nonexistent objects. The question concerns the way names of fictional characters, when analyzed as names which denote nonexistent objects, acquire their denotations. Since nonexistent objects cannot causally interact with existent objects, it is thought that we cannot appeal to a `dubbing' or a `baptism'. The question is, therefore, what is the starting point of the chain? The answer is that storytellings are to be thought of as extended baptisms, and the details (...) of this response receive attention in the paper. Once the storytelling is complete, and the characters have been baptized, a priori metaphysical principles linking the storytelling with the realm of nonexistent objects provide the referential, non-causal connection between the names used in the storytelling and the objects denoted by such names. [This is the original English version of an article that first appeared in German translation, translated into German by Arnold Günther and published in the Zeitschrift für Semiotik 9/1-2 (1987): 85-95. The version that appears here is, for the most part, unaltered.]. (shrink)

Many philosophers, including direct reference theorists, appeal to naively to 'modes of presentation' in the analysis of belief reports. I show that a variety of such appeals can be analyzed in terms of a precise theory of modes of presentation. The objects that serve as modes are identified intrinsically, in a noncircular way, and it is shown that they can function in the required way. It is a consequence of the intrinsic characterization that some objects are well-suited to serve as (...) modes that present individuals and while others are well-suited to serve as modes that present properties (though such modes do not `determine' the objects they present---there is no necessary connection between a mode m and the individual x or property F that it presents). Moreover, it is also a consequence that the modes for properties and individuals can be organized into complexes that are structurally identical to Russellian propositions having the represented properties and individuals as constituents. Not only is the relationship between modes and Fregean senses and modes of presentation explored in the paper, but also the idea that the theory of modes of presentation developed in the paper can serve as a theory of concepts. (shrink)

This entry introduces the reader to the main ideas in Frege's philosophy of logic, mathematics, and language.

The principal goal of this entry is to present Frege's Theorem (i.e., the proof that the Dedekind-Peano axioms for number theory can be derived in second-order logic supplemented only by Hume's Principle) in the most logically perspicuous manner. We strive to present Frege's Theorem by representing the ideas and claims involved in the proof in clear and well-established modern logical notation. This prepares one to better prepared to understand Frege's own notation and derivations, and read Frege's original work (whether in (...) German or in translation). Moreover, this should prepare the reader to understand a number of scholarly books and articles in the secondary literature on Frege's work. (shrink)

The appeal to possible worlds in the semantics of modal logic and the philosophical defense of possible worlds as an essential element of ontology have led philosophers and logicians to introduce other kinds of `worlds' in order to study various philosophical and logical phenomena. The literature contains discussions of `non-normal worlds', `non-classical worlds', `non-standard worlds', and `impossible worlds'. These atypical worlds have been used in the following ways: (1) to interpret unusual modal logics, (2) to distinguish logically equivalent propositions, (3) (...) to solve the problems associated with propositional attitude contexts, intentional contexts, and counterfactuals with impossible antecedents, and (4) to interpret systems of relevant and paraconsistent logic. However, those who have attempted to develop a genuine metaphysical theory of such atypical worlds tend to move too quickly from philosophical characterizations to formal semantics. (shrink)