Chrysippus often talks as if there is a third option when we might expect that two options in response to a question are exhaustive. Things are true, false or neither; equal, unequal, or neither; the same, different, or neither.. and so on. There seems to be a general pattern here that calls for a general explanation. This paper offers a general explanation of this pattern, preserving Stoic commitments to excluded middle and bivalence, arguing that Chrysippus employs this trichotomy move when (...) he wishes to argue that apparent contradictories are only contraries, and wishes to endorse a third option. This general explanation of the pattern of trichotomies sheds light on a number of interpretive puzzles, including on Chrysippus's response to the paradox of the cone. The purpose of these trichotomies is also discussed, and it is suggested that they originate from the dialectical context in which philosophical problems were posed. (shrink)

We prove several trichotomy results for ideals of compact sets. Typically, we show that a "sufficiently rich" universally Baire ideal is either $\Pi _{3}^{0}$-hard, or $\Sigma _{3}^{0}$-hard, or else a σ-ideal.

According to a standard picture, for any two comparable objects and a basis for comparison, either one is greater than the other or they are equal with respect to the basis. This picture has been called the Trichotomy Thesis, and although it is intuitive and plausible, it has been called into question by such philosophers as Derek Parfit, James Griffin, Joseph Raz, and Ruth Chang. Chang’s discussion is particularly rich, for she proposes and provides a detailed account of a possible (...) fourth relation that, she argues, provides a satisfying explanation of hard cases of comparison. In this paper, I will examine a version of the main argument against the Trichotomy Thesis and attempt to show that it is unsound. (shrink)

. The PCF Trichotomy Theorem deals with sequences of ordinal functions on an infinite $\kappa$ modulo some ideal I. If a $<_I$ -increasing sequence of ordinal functions has regular length which is larger than $\kappa^+$ , then by the Trichotomy Theorem the sequence satisfies one of three structural conditions. It was of some interest to find out if the Trichotomy Theorem could hold also for sequences of length $\kappa^+$ . It is shown that this is not the case.

Using a dictionary translating a variety of classical and modern covering properties into combinatorial properties of continuous images, we get a simple way to understand the interrelations between these properties in ZFC and in the realm of the trichotomy axiom for upward closed families of sets of natural numbers. While it is now known that the answer to the Hurewicz 1927 problem is positive, it is shown here that semifilter trichotomy implies a negative answer to a slightly stronger form of (...) this problem. (shrink)

The issue of the ordering of the ten trichotomies is one among the many questions still open regarding Peirce’s extended theory of signs. A proper decision regarding the order of the ten trichotomies demands a discussion of the entire semiotic process. The aim of this paper is to discuss the order of the trichotomies related to the mode of being of the immediate and dynamical objects. Therefore, it addresses only one part of this process, which concerns the (...) relationship between the sign and its objects. When subdividing the object, Peirce begins to consider the immediate and the dynamic objects as trichotomies, that is, aspects to be considered in the definition of the classes of signs. The introduction of these two trichotomies brings in a problem: how to order them in the system of ten trichotomies. Diverging opinions regarding this ordering are found in Peirce’s texts, and in his commentators. We will investigate this problem by seeking a sort of pragmatic clarification of the matter, presenting a reflection about the philosophical and semiotic consequences of the different proposals for the ordering of these trichotomies. Placing the dynamic object after the sign may even help to explain the functioning of fictional signs, but is this coherent with Peirce’s philosophy? On the other hand, would it be possible to talk about lying signs if every object was determined by its own sign? (shrink)

Name der Zeitschrift: Semiotica Jahrgang: 2016 Heft: 213 Seiten: 165-175.

Shelah develops the theory of \\) without the assumption that \\), going so far as to get generators for every \\) under some assumptions on I. Our main theorem is that we can also generalize Shelah’s trichotomy theorem to the same setting. Using this, we present a different proof of the existence of generators for \\) which is more in line with the modern exposition. Finally, we discuss some obstacles to further generalizing the classical theory.

The term “objective” has both a metaphysical and an epistemological meaning, and each of these meanings gives rise to a corresponding objective-subjective dichotomy. A formal definition of objectivity is given, and this clarifies the nature of the epistemological dichotomy. These dichotomies are represented by classes of existents, and a Venn-type diagram is used to illustrate the relationship between them. It is shown that the class of all existents can be partitioned into three mutually exclusive and exhaustive classes, which correspond to (...) Rand's intrinsic-subjective-objective trichotomy. (shrink)

In 1959, Lao Sze-Kwang (1927 – 2012), a well-known Chinese Kantian philosopher and author of the New Edition of the History of Chinese Philosophy, published On Existentialist Philosophy introducing existential philosophers to Chinese readers. This paper argues that Lao misinterpreted Kierkegaard’s ultimate philosophical quest of “how to become a Christian” as a question of ‘virtue completion,’ because he failed to recognize and acknowledge Kierkegaard’s distinction between aesthetic, moral and religious passion. By describing and clarifying Lao’s misinterpretation, the paper then argues (...) that Lao’s trichotomy of the self fails to give due credit to the independence of religiousness from morality and aesthetics in Kierkegaard’s thought. (shrink)

The drastically increasing availability ofmodern computers coupled with the equally drasticallylower cost of a given amount of computer power inrecent years has resulted in the evolution of thetraditional experimental/theoretical dichotomy inchemistry into anexperimental/theoretical/computational trichotomy. This trichotomy can be schematically represented by atriangle with experimental,theoretical, and computational chemistry at the threevertices. The ET and EC edges of the ETC triangledepict the uses of theoretical and computationalchemistry, respectively, to predict and interpretexperimental results. The TC edge depicts therelationship between theoretical and computationalchemistry. Mathematics (...) plays an increasing role in allaspects of chemistry, particularly theoreticalchemistry, and has led to the evolution of thediscipline of mathematical chemistry. Research inmathematical chemistry can be considered to lie on achemistry-mathematics continuum depending on therelative depths of the underlying chemistry andmathematics. Examples of the author's own researchlying near each end of the chemistry-mathematicscontinuum include his work on applications of graphtheory and topology in inorganic coordination andcluster chemistry lying near the chemistry end and hiswork on chirality algebra lying near the mathematicsend. The general points in this essay are illustratedby an analysis of the roles of computational andtheoretical chemistry in developing an understandingof structure and bonding in deltahedral boranes andrelated carboranes. This work has allowed extensionof the concept of aromaticity from two dimensions asin benzene and other planar hydrocarbons to the thirddimension in deltahedral boranes. (shrink)

This paper first re-examines Levinson’s notion of activity type, followed by a review of ethnographic, sociopsychological and ecological studies of the same phenomenon under varied names. The activity type is generally treated as a context in pragmatics. This paper departs from this thinking by proposing that it be treated as the primary object and unit of investigation per se. The role the activity type plays should be that of an interface bridging the langue-parole dichotomy, and the individual-society dichotomy. It is (...) further proposed that the activity type be studied as embodied activities at the token level. It is thus re-conceptualized in term of land-borne situated discourse. (shrink)

This article explores the main similarities and differences between Derek Parfit’s notion of imprecise comparability and a related notion I have proposed of parity. I argue that the main difference between imprecise comparability and parity can be understood by reference to ‘the standard view’. The standard view claims that 1) differences between cardinally ranked items can always be measured by a scale of units of the relevant value, and 2) all rankings proceed in terms of the trichotomy of ‘better than’, (...) ‘worse than’, and ‘equally good’. Imprecise comparability, which can be understood in terms of the more familiar notions of cardinality and incommensurability, rejects only the first claim while parity rejects both claims of the standard view. -/- I then argue that insofar as those attracted to imprecise comparability assume that all rankings are trichotomous, as Parfit appears to, the view should be rejected. This is because imprecise equality is not a form of equality but is a sui generis ‘fourth’ basic way in which items can be ranked. We should, I argue, understand imprecise equality as parity, and imprecise comparability as entailing ‘tetrachotomy’ – that if two items are comparable, one must better than, worse than, equal to, or on a par with the other. Thus those attracted to the idea that cardinality can be imprecise should abandon trichotomy and accept parity and tetrachotomy instead. -/- Finally, I illustrate the difference between Parfit’s trichotomous notion of imprecise comparability and parity by examining how each notion might be employed in different solutions to the problem posed by the Repugnant Conclusion in population ethics. I suggest that parity provides the arguably more ecumenical solution to the problem. (shrink)

In this paper we study some statements similar to the Partition Principle and the Trichotomy. We prove some relationships between these statements, the Axiom of Choice, and the Generalized Continuum Hypothesis. We also prove some independence results. MSC: 03E25, 03E50, 04A25, 04A50.

The paper proposes a formal account of Aristotle's trichotomy of verbs, in terms of properties of their continuous tensings, into S(state)-verbs, K(kinesis)-verbs, and E-(energeia)-verbs. Within a Fregean tense framework in which predicates are relativized to times, an account of the continuous tenses is presented and a preliminary account of the trichotomy devised, which permits an illuminating analogy to be drawn between the temporal properties of E- and K-verbs and the spatial properties of stuffs and substances. This analogy is drawn upon (...) in constructing a sophisticated version of the preliminary theory accommodating more of the linguistic data. (shrink)

This paper argues for the existence of a fourth positive generic value relation that can hold between two items beyond ‘better than’, ‘worse than’, and ‘equally good’: namely ‘on a par’.

This Element examines Kant's innovative account of labour in his political philosophy and develops an intersectional analysis of Kant. By demonstrating that Kant's analysis of slavery, citizenship, and sex developed in inter-linked ways over several decades, culminating in his development of a 'trichotomy' of Right, the author shows that Kant's normative account of independence is configured through his theory of labour, and is continuous with his anthropological accounts of race and gender, providing a systemic justification for the dependency of women (...) and non-whites embedded in his philosophy of right. By examining Kant's arguments about slavery as intertwined with his account of domestic labour, the author argues that his ultimate rejection of slavery may owe more to his changing conceptualization of labour than to his theory of race, and that his final arguments against slavery rehearse strategies for embedding intersectional patterns of domestic dependence in his account of the rightful state. (shrink)

The familiar Vendler-Kenny scheme of verb-types, viz., performances (further differentiated by Vedler into accomplishments and achievements), activities, and states, is too narrow in two important respects. First, it is narrow linguistically. It fails to take into account the phenomenon of verb aspect. The trichotomy is not one of verbs as lexical types but of predications. Second, the trichotomy is narrow ontologically. It is a specification in the context of human agency of the more fundamental, topic-neutral trichotomy, event-process-state.The central component in (...) this ontological trichotomy, event, can be sharply differentiated from its two flanking components by adapting a suggestion by Geoffrey N. Leech and others that the contrast between perfective and imperfective aspect in verbs corresponds to the count/mass distinction in the domain of nouns. With the help of two distinctions, of cardinal count adverbials versus frequency adverbials, and of occurrence versus associated occasion, two interrelated criteria for event predication are developed. Accordingly, Mary capsized the boat is an event predication because (a) it is equivalent to There was at least one capsizing of the boat by Mary, or (b) because it admits cardinal count adverbials, e.g., at least once, twice, three times. Ontologically speaking, events are defined as those occurrences that are inherently countable. (shrink)

Charles S. Peirce’s second trichotomy, which introduces the concepts of iconicity, indexicality, and symbolicity, is probably the only piece of his semiotic that is familiar to visual artists and designers. Although the concepts have found their way into the academy, their utility in the field has been reduced for a couple of reasons. First, as with all of Peirce’s philosophy, his second trichotomy is a concept that is subtle, fluid, and difficult to fully grasp in a sound bite. Second, there (...) has simply been no bridge concept that would form a working connection between that philosophy in its logical guise and the studio practice in the visual arts. The purpose of this article is to remedy that situation by investigating the subtle ways the second trichotomy functions within the visual sphere, and to then suggest a model that can serve to bridge the divide between pure theory and practice. The article makes four main points: first, using examples from visual identity and the graphic arts, it demonstrates how the modes of icon, index, and symbol tend to be blended; second, examples from fine art are used to illustrate how the concept of abstraction, as used in the art world, can only be partially accounted for within the second trichotomy, but can be modeled by supplying a syntactical supplement; third, it expands on and elaborates a previously sketched model, the visual gamut, which makes it possible to classify visual entities according to their position within a map of semantic and syntactic space; finally, it concludes by suggesting ways this enhanced version of the visual gamut model might be used in the analysis of, or creation of, art and design, presenting suggestions for further study. (shrink)

[Note: Picture of Peirce available] Charles S. Peirce’s Philosophy of Signs Essays in Comparative Semiotics Gérard Deledalle Peirce’s semiotics and metaphysics compared to the thought of other leading philosophers. "This is essential reading for anyone who wants to find common ground between the best of American semiotics and better-known European theories. Deledalle has done more than anyone else to introduce Peirce to European audiences, and now he sends Peirce home with some new flare."—Nathan Houser, Director, Peirce Edition Project Charles S. (...) Peirce’s Philosophy of Signs examines Peirce’s philosophy and semiotic thought from a European perspective, comparing the American’s unique views with a wide variety of work by thinkers from the ancients to moderns. Parts I and II deal with the philosophical paradigms which are at the root of Peirce’s new theory of signs, pragmatic and social. The main concepts analyzed are those of "sign" and "semiosis" and their respective trichotomies; formally in the case of "sign," in time in the case of semiosis. Part III is devoted to comparing Peirce’s theory of semiotics as a form of logic to the work of other philosophers, including Bertrand Russell, Wittgenstein, Frege, Philodemus, Lady Welby, Saussure, Morris, Jakobson, and Marshall McLuhan. Part IV compares Peirce’s "scientific metaphysics" with European metaphysics. Gérard Deledalle holds the Doctorate in Philosophy from the Sorbonne. A research scholar at Columbia University and Attaché at the Centre National de la Recherche Scientifique, Paris, he has also been Professor of Philosophy and Head of the Philosophy Department of the universities of Tunis, Perpignan, and Libreville. In 1990 he received the Herbert W. Schneider Award "for distinguished contributions to the understanding and development of American philosophy. In 2001, he was appointed vice-president of the Charles S. Peirce Society. Contents Introduction—Peirce Compared: Directions for Use Part I—Semeiotic as Philosophy Peirce’s New Philosophical Paradigms Peirce’s Philosophy of Semeiotic Peirce’s First Pragmatic Papers The Postscriptum of 1893 Part II—Semeiotic as Semiotics Sign: Semiosis and Representamen—Semiosis and Time Sign: The Concept and Its Use—Reading as Translation Part III—Comparative Semiotics Semiotics and Logic: A Reply to Jerzy Pelc Semeiotic and Greek Logic: Peirce and Philodemus Semeiotic and Significs: Peirce and Lady Welby Semeiotic and Semiology: Peirce and Saussure Semeiotic and Semiotics: Peirce and Morris Semeiotic and Linguistics: Peirce and Jakobson Semeiotic and Communication: Peirce and McLuhan Semeiotic and Epistemology: Peirce, Frege, and Wittgenstein Part IV—Comparative Metaphysics Gnoseology—Perceiving and Knowing: Peirce, Wittgenstein, and Gestalttheorie Ontology—Transcendentals "of" or "without" Being: Peirce versus Aristotle and Thomas Aquinas Cosmology—Chaos and Chance within Order and Continuity: Peirce between Plato and Darwin Theology—The Reality of God: Peirce’s Triune God and the Church’s Trinity Conclusion—Peirce: A Lateral View. (shrink)

Adopting a different method from the previous scholars, this article deduces the remaining 23 valid syllogisms just taking the syllogism AEE-4 as the basic axiom. The basic idea of this study is as follows: firstly, make full use of the trichotomy structure of categorical propositions to formalize categorical syllogisms. Then, taking advantage of the deductive rules in classical propositional logic and the basic facts in the generalized quantifier theory, we deduce the remaining 23 valid categorical syllogisms by taking just one (...) syllogism (that is, AEE-4) as the basic axiom. This article not only reveals the reducible relations between the syllogism AEE-4 and the other 23 valid syllogisms, but also establishes a concise formal axiomatic system for categorical syllogistic logic. We hope that the results and methods will provide a good mathematical paradigm for studying other kinds of syllogistic logics, and that the project will appeal to specialists in logic, linguistic semantics, computational semantics, cognitive science and artificial intelligence. (shrink)

The paper argues that our self‐ascription of occurent psychological attitudes is consciously based. It rejects the trichotomy that considers self‐knowledge to be accounted for, by observation, by inference, or by nothing. Instead, conscious attitudes provide the thinker with a reason for self‐ascribing an attitude to the content that occurs to the thinker, when in possession of the relevant concepts. Developing this account for the case of belief, a conscious belief is shown to provide the thinker with a reason to self‐ascribe (...) to it because of the role such states play in the possession conditions for the concept of belief. The conscious attitudes appealed to in the account must be characterized independently of their self‐ascription, and a number of rival accounts of consciousness are rejected. In addition, the paper examines the relations between consciouness and attention by exploring the notion of a conscious thought as occupying the thinker's attention. (shrink)

The essay addresses the well‐known idea that there has to be a place for intuition, thought of as a kind of non‐inferential rational insight, in the epistemology of basic logic if our knowledge of its principles is non‐empirical and is to allow of any finite, non‐circular reconstruction. It is argued that the error in this idea consists in its overlooking the possibility that there is, properly speaking, no knowledge of the validity of principles of basic logic. When certain important distinctions (...) are observed, for instance that between recognising that Modus Ponenes is sound and recognising that it is proof against the competent discovery of basic counterexamples, the case for thinking that there is indeed no space for genuine recognition of the validity of Modus Ponens becomes increasingly impressive. It is argued however that, the impossibility of knowledge notwithstanding, we are, in an important sense, entitled to take it that Modus Ponens is sound and that this notion of entitlement can help break the trichotomy ‐ intuition, inference, experience ‐ which imprisons our ordinary thinking about logical knowledge. (shrink)

The semeiotic of Charles Sanders Peirce is irreducibly triadic, positing that a sign mediates between the object that determines it and the interpretant that it determines. He eventually holds that each sign has two objects and three interpretants, standardizing quickly on immediate and dynamical for the objects but experimenting with a variety of names for the interpretants. The two most prominent terminologies are immediate/dynamical/final and emotional/energetic/logical, and scholars have long debated how they are related to each other. This paper seeks (...) to shed new light on the matter by reviewing the numerous manuscript drafts where Peirce develops the latter nomenclature while attempting to introduce his pragmatism to a general audience. It then goes on to examine an additional set of interpretants, intentional/effectual/communicational, and shows that the three different trichotomies can be understood as complementary, rather than redundant or conflicting. (shrink)

Abstract McDowell's contributions to epistemology and philosophy of mind turn centrally on his defense of the Aristotelian concept of a ?rational animal?. I argue here that a clarification of how McDowell uses this concept can make more explicit his distance from Davidson regarding the nature of the minds of non-rational animals. Close examination of his responses to Davidson and to Dennett shows that McDowell is implicitly committed to avoiding the following ?false trichotomy?: that animals are not bearers of semantic content (...) at all, that they are bearers of content in the same sense we are, and that they are bearer of "as if" content. Avoiding the false trichotomy requires that we understand non-rational animals as having concepts but not as making judgments. Furthermore, we need to supplement McDowell's distinction between the logical spaces of reasons and of the realm of law with what Finkelstein calls ?the logical space of animate life?. Though McDowell has taken some recent steps to embrace a view like this, I urge a more demanding conception than what McDowell has thus far suggested. (shrink)

In theMetaphysics, Aristotle pointed out that some activities are engaged in for their own sake, while others are directed at some end. The test for distinguishing between them is to ask, ‘At any time during a period in which someone is Xing, is it also true that they have Xed?’ If both are true, the activity is being done for its own sake. If not, it is being done for the sake of some end other than itself. For example, if (...) I am thinking, it is true that I have thought. But if I’m making a blouse, it is not true that I have made a blouse, at least not this particular blouse. That’s not true until I have completed the project.There have been a number of attempts to deepen our understanding of this distinction. Anthony Kenny devoted a chapter of Action, Emotion, and Will to this issue, exploring the effect tense has on implication relations, and using that as a basis for dividing verbs of action into state-verbs, activity-verbs and performance-verbs. In more recent years the trend has been to generalize these categories so as to include occurrences other than actions, i.e., occurrences which do not involve intentions. While interest in this area tends to focus primarily on linguistic issues, such as the categorization of verbs, or on the logical analysis of sentences, there has been some interest in related metaphysical issues. In 1978 Alexander Mourelatos published ‘Events, Processes, and States,’ a paper which has turned out to be quite influential, in which he proposes an ontological trichotomy of occurrences. In his view, processes and events form distinct categories within the general category of occurrences. In this paper I will examine the reasoning underlying Mourelatos’s claim, arguing that the differences between processes and events cannot provide the basis for an ontological subcategorization of occurrences. (shrink)

[Note: Picture of Peirce available] Charles S. Peirce’s Philosophy of Signs Essays in Comparative Semiotics Gérard Deledalle Peirce’s semiotics and metaphysics compared to the thought of other leading philosophers. "This is essential reading for anyone who wants to find common ground between the best of American semiotics and better-known European theories. Deledalle has done more than anyone else to introduce Peirce to European audiences, and now he sends Peirce home with some new flare."—Nathan Houser, Director, Peirce Edition Project Charles S. (...) Peirce’s Philosophy of Signs examines Peirce’s philosophy and semiotic thought from a European perspective, comparing the American’s unique views with a wide variety of work by thinkers from the ancients to moderns. Parts I and II deal with the philosophical paradigms which are at the root of Peirce’s new theory of signs, pragmatic and social. The main concepts analyzed are those of "sign" and "semiosis" and their respective trichotomies; formally in the case of "sign," in time in the case of semiosis. Part III is devoted to comparing Peirce’s theory of semiotics as a form of logic to the work of other philosophers, including Bertrand Russell, Wittgenstein, Frege, Philodemus, Lady Welby, Saussure, Morris, Jakobson, and Marshall McLuhan. Part IV compares Peirce’s "scientific metaphysics" with European metaphysics. Gérard Deledalle holds the Doctorate in Philosophy from the Sorbonne. A research scholar at Columbia University and Attaché at the Centre National de la Recherche Scientifique, Paris, he has also been Professor of Philosophy and Head of the Philosophy Department of the universities of Tunis, Perpignan, and Libreville. In 1990 he received the Herbert W. Schneider Award "for distinguished contributions to the understanding and development of American philosophy. In 2001, he was appointed vice-president of the Charles S. Peirce Society. Contents Introduction—Peirce Compared: Directions for Use Part I—Semeiotic as Philosophy Peirce’s New Philosophical Paradigms Peirce’s Philosophy of Semeiotic Peirce’s First Pragmatic Papers The Postscriptum of 1893 Part II—Semeiotic as Semiotics Sign: Semiosis and Representamen—Semiosis and Time Sign: The Concept and Its Use—Reading as Translation Part III—Comparative Semiotics Semiotics and Logic: A Reply to Jerzy Pelc Semeiotic and Greek Logic: Peirce and Philodemus Semeiotic and Significs: Peirce and Lady Welby Semeiotic and Semiology: Peirce and Saussure Semeiotic and Semiotics: Peirce and Morris Semeiotic and Linguistics: Peirce and Jakobson Semeiotic and Communication: Peirce and McLuhan Semeiotic and Epistemology: Peirce, Frege, and Wittgenstein Part IV—Comparative Metaphysics Gnoseology—Perceiving and Knowing: Peirce, Wittgenstein, and Gestalttheorie Ontology—Transcendentals "of" or "without" Being: Peirce versus Aristotle and Thomas Aquinas Cosmology—Chaos and Chance within Order and Continuity: Peirce between Plato and Darwin Theology—The Reality of God: Peirce’s Triune God and the Church’s Trinity Conclusion—Peirce: A Lateral View. (shrink)

What is it for a car, a piece of art or a person to be good, bad or better than another? In this first book-length introduction to value theory, Francesco Orsi explores the nature of evaluative concepts used in everyday thinking and speech and in contemporary philosophical discourse. The various dimensions, structures and connections that value concepts express are interrogated with clarity and incision. -/- Orsi provides a systematic survey of both classic texts including Plato, Aristotle, Kant, Moore and Ross (...) and an array of contemporary theorists. The reader is guided through the moral maze of value theory with everyday examples and thought experiments. Rare stamps, Napoleon's hat, evil demons, and Kant's good will are all considered in order to probe our intuitions, question our own and philosophers' assumptions about value, and, ultimately, understand better what we want to say when we talk about value. -/- 1. Value and Normativity 1.1 Introduction 1.2 Which Evaluations? 1.3 The Idea of Value Theory 1.4 Value and Normativity 1.5 Overview 1.6 Meta-ethical Neutrality 1.7 Value Theory: The Questions -/- 2. Meet the Values: Intrinsic, Final & Co. 2.1 Introduction 2.2 Final and Unconditional Value: Some Philosophical Examples 2.3 Intrinsic Value and Final Value 2.4 The Reduction to Facts 2.5 Intrinsic and Conditional Value 2.6 Elimination of Extrinsic Value? 2.7 Summary -/- 3. The Challenge against Absolute Value 3.1 Introduction 3.2 Geach and Attributive Goodness 3.3 Foot and the Virtues 3.4 Thomson and Goodness in a Way 3.5 Zimmerman's Ethical Goodness 3.6 A Better Reply: Absolute Value and Fitting Attitudes 3.7 Summary -/- 4. Personal Value 4.1 Introduction 4.2 Moore on Good and Good For 4.3 Good For and Fitting Attitudes 4.4 Moore Strikes Back? 4.5 Agent-relative Value 4.6 Impersonal/Personal and Agent-neutral/Agent-relative 4.7 Summary -/- 5. The Chemistry of Value 5.1 Introduction 5.2 Supervenience and Other Relations 5.3 Organic Unities 5.4 Alternatives to Organic Unities: Virtual Value 5.5 Alternatives to Organic Unities: Conditional Value 5.6 Holism and Particularism 5.7 Summary -/- 6. Value Relations 6.1 Introduction 6.2 The Trichotomy Thesis and Incomparability 6.3 A Fitting Attitude Argument for Incomparability 6.4 Against Incomparability: Epistemic Limitations 6.5 Against Incomparability: Parity 6.6 Parity and Choice 6.7 Parity and Incomparability 6.8 Summary -/- 7. How Do I Favour Thee? 7.1 Introduction 7.2 Three Dimensions of Favouring 7.3 Responses to Value: Maximizing 7.4 Two Concepts of Intrinsic Value? 7.5 Summary -/- 8. Value and the Wrong Kind of Reasons 8.1 Introduction 8.2 The Fitting Attitude Account and its Rivals 8.3 The Wrong Kind of Reasons Problem 8.4 The Structure of the Problem and an Initial Response 8.5 Reasons for What? 8.6 Characteristic Concerns and Shared Reasons 8.7 Circular Path: No-Priority 8.8 Summary . (shrink)

In his 1903 Syllabus, Charles S. Peirce makes a distinction between icons and iconic signs, or hypoicons, and briefly introduces a division of the latter into images, diagrams, and metaphors. Peirce scholars have tried to make better sense of those concepts by understanding iconic signs in the context of the ten classes of signs described in the same Syllabus. We will argue, however, that the three kinds of hypoicons can better be understood in the context of Peirce's sixty-six classes of (...) signs. We analyze examples of hypoicons taken from the field of information design, describing them in the framework of the sixty-six classes, and discuss the consequences of those descriptions to the debate about the order of determination of the 10 trichotomies that form those classes. (shrink)

This book is the culmination of almost forty years of writing and thinking about speech acts and the use theory of meaning. Chapter 1 sets out and defends a version of the Austin-Searle trichotomy of a sentential act, i.e., uttering a sentence or surrogate, an illocutionary act, i.e., uttering a sentence with a certain "content" as reported by indirect speech, and a perlocutionary act, i.e., producing an effect on an audience by an utterance. Chapter 2 poses the question: what condition (...) C will turn an SA into an IA: F? Perhaps adding a perlocutionary intention to the effect that "U asserts that p only if U utters p with the intention of getting H to believe that p" will meet condition C. Alston argues, contra Schiffer, that it will not. Chapter 3 objects to Searle's analysis of sincere and non-defective promising, on the one hand, because there are too many ways a promise can be defective and, on the other hand, because some of Searle's conditions are not necessary for promising simpliciter. Alston proposes. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Ideas 63.3 (2002) 521-537 [Access article in PDF] Two Routes "to Concreteness" in the Work of the Bakhtin Circle Craig Brandist In 1918 the young Georg Lukács published an obituary of the last major Baden School neo-Kantian Emil Lask in which the latter's varied work was commended for being "underlain by an essential common drive [Drang]: the drive to concreteness." 1 This "drive" was (...) especially problematic, however, in the work of thinkers overtly committed to neo-Kantianism, a doctrine that was in its own time a byword for abstruseness and academic abstraction. Just how concrete could a neo-Kantian idealism become without abandoning its core insistence that the world is "produced" by indwelling categories of mind? Lask pursued this problem with a thoroughness unmatched by any other German neo-Kantian, and in doing so he became an important influence on, among others, Lukács, Max Weber, and Martin Heidegger. This article discusses the prevalence of the same "drive" in the varied work of those Russian champions of neo-Kantianism, the Bakhtin Circle, where "concreteness" is invoked so frequently that it almost begins to take on the character of a mantra. The case of the Bakhtin Circle is especially illustrative because the "drive to concreteness," which all members of the Circle shared, resulted in a significant difference of opinion about the extent to which the central theses of neo-Kantianism can be salvaged. Like Lask, Bakhtin was particularly keen to maintain the core of neo-Kantian ideas, while Voloshinov and, following behind him, Medvedev, were much less averse to breaking with the central project of German idealism itself. In each case the Brentanian notion of intentionality, the doctrine that consciousness is always consciousness of something, plays a central role. Consciousness exists in acts directed towards objects, existent or otherwise, that are given to consciousness. Brentano and his followers were invariably anti-Kantian, and they were extremely hostile to the central tenet of neo-Kantian idealism, that objects of consciousness are "produced" from categories dwelling in a transcendental [End Page 521] "consciousness in general" (Bewusstsein überhaupt). While it is far from certain that Brentanian and Kantian principles are incompatible at every level, there is no doubt that any attempt to integrate the notion of intentionality into neo-Kantianism was going to threaten the basis of neo-Kantianism as such. 2 As Gabriel Motzkin notes, Lask's attempt to carry such a project through to its logical conclusion ultimately led to "the destruction of the neo-Kantian empire from within." 3 The Bakhtinian project led in precisely this direction, and this article examines the way in which the work of the Circle shows distinct and ultimately incompatible responses to the crisis of the "empire." Revising neo-Kantianism: Ernst Cassirer and Emil Lask The abstract, or what Bakhtin terms the "theoretist," character of neo-Kantianism derived from two fundamental and interrelated features. The first was a principled opposition to all distinctions between cognition and perception, and the second was an identification of subjectivity with the system of objectifying functions that have their true being in cultural documents. According to neo-Kantian principles, nothing is "given" and everything is posited in an act of subjective spontaneity: objects are constituted from transcendental categories dwelling in "pure consciousness." Summing up the philosophical project of Hermann Cohen, the leader of the Marburg School, Ernst Cassirer noted that "any appeal to a merely given should fall aside; in place of every supposed foundation in things there should enter the pure foundations of thinking, of willing, of artistic and religious consciousness." 4Though seeking to broaden his own enquiry beyond the "trichotomy of the Kantian Critiques," Cassirer, the last major Marburg neo-Kantian, remained wedded to the neo-Kantian project of deriving the transcendental preconditions of the "formations" in which the "objective spirit... consists and exists" and dealt only with a universal subject devoid of practical limitations. 5 Cassirer drew close to phenomenology in the 1920s, when he embarked on his great project The Philosophy of Symbolic Forms, presenting... (shrink)

Transitive extensional well founded relations provide an intuitionistic notion of ordinals which admits transfinite induction. However these ordinals are not directed and their successor operation is poorly behaved, leading to problems of functoriality. We show how to make the successor monotone by introducing plumpness, which strengthens transitivity. This clarifies the traditional development of successors and unions, making it intuitionistic; even the (classical) proof of trichotomy is made simpler. The definition is, however, recursive, and, as their name suggests, the plump ordinals (...) grow very rapidly. Directedness must be defined hereditarily. It is orthogonal to the other four conditions, and the lower powerdomain construction is shown to be the universal way of imposing it. We treat ordinals as order-types, and develop a corresponding set theory similar to Osius' transitive set objects. This presents Mostowski's theorem as a reflection of categories, and set-theoretic union is a corollary of the adjoint functor theorem. Mostowski's theorem and the rank for some of the notions of ordinal are formulated and proved without the axiom of replacement, but this seems to be unavoidable for the plump rank. The comparison between sets and toposes is developed as far as the identification of replacement with completeness, and there are some suggestions for further work in this area. Each notion of set or ordinal defines a free algebra for one of the theories discussed by Joyal and Moerdijk, namely joins of a family of arities together with an operation s satisfying conditions such as x ≤ sx, monotonicity or s(x ∨ y) ≤ sx ∨ sy. Finally we discuss the fixed point theorem for a monotone endofunction s of a poset with least element and directed joins. This may be proved under each of a variety of additional hypotheses. We explain why it is unlikely that any notion of ordinal obeying the induction scheme for arbitrary predicates will prove the pure result. (shrink)

We study the theory of lovely pairs of geometric structures, in particular o-minimal structures. We use the pairs to isolate a class of geometric structures called weakly locally modular which generalizes the class of linear structures in the settings of SU-rank one theories and o-minimal theories. For o-minimal theories, we use the Peterzil–Starchenko trichotomy theorem to characterize for a sufficiently general point, the local geometry around it in terms of the thorn U-rank of its type inside a lovely pair.

Talk of “essences” has, since Saul Kripke and Hilary Putnam, gained significant currency in contemporary philosophy. It is no longer unfashionable to talk about the essence of this or that (natural) kind, and as such we now find a variety of brands of essentialism on the market including B.D. Ellis’s scientific essentialism, David Oderberg’s real Essentialism, Alexander Bird’s dispositional essentialism, and the contemporary essentialism of Kripke and Putnam. -/- Almost all these brands of essentialism share a particular gloss on Locke’s (...) famous objection to Aristotle that natural kinds are demarcated by nominal essences not real essences. Thus Oderberg claims that ‘Empiricists take [real] essences to be paradigmatically unobservable’ and that this ‘objection goes back at least to John Locke’ (Oderberg 2007: 21). Bird, presenting his dispositional essentialism, defines a notion of “being” as ‘the reverse of Locke’s definition of essence’ which he takes to be ‘the being of any thing, whereby it is what it is’ (Bird 2007: 100). Joseph LaPorte, discussing nominal and real essences, claims that ‘Kripke and Putnam seem to affirm something more substantive: that biological kinds have “real essences” in Locke’s terminology’ (LaPorte 2004: 49). Even avowed anti-essentialists such as John Dupré sanction the standard criticism of Locke that his scepticism about the knowability of real essences was ‘premature’, and claim that ‘genuine natural kinds provide the extensions of many terms of natural language, where these natural kinds are determined by true Lockean real essences’ (Dupré 1993: 22). -/- All of these essentialisms (even Dupré’s anti-essentialism) are wrong about Locke. Oderberg is wrong to claim that Locke thought that real essences were paradigmatically unobservable; Bird is wrong to think that Locke’s notion of essence is the being of anything whereby it is what it is; LaPorte is wrong to think that Kripke and Putnam are talking about Lockean real essences (although so are Kripke and Putnam); and Dupré is wrong to think that genuine natural kinds (if by genuine he means objective or mind-independent) are determined but true Lockean real essences . -/- The mistake stems from a standard, but ultimately incorrect, interpretation of Locke’s discussion of essences in An Essay Concerning Human Understanding . This mistaken interpretation (Lowe 1995, 2006, Von Leyden 1973, Wiggins 1974) takes Locke to mean, by “real essence”, the Aristotelian notion i.e. ‘the very being of anything, whereby it is what it is’ (Essay III.iii.15), and interprets his objection as epistemological: we cannot come to know what real essences are, and therefore they cannot figure in our classifications of things into kinds. -/- This paper will present and defend the following two claims: i) that Locke’s notion of “real essence” is not the Aristotelian notion, and ii) that Locke’s objection to the Aristotelian notion was not merely epistemological. The first claim can be defended by presenting and applying Vienne’s (1993) terminological revision. Vienne argues that Locke did not introduce a dichotomy between real and nominal essence, but a trichotomy between real essence, nominal essence and real constitution. This terminological revision will be employed to highlight where ambiguous uses of the phrase “real essence” have caused some serious misunderstandings of Locke’s philosophy. The second claim (steering Locke around what is the classic objection to his thesis) can be defended by presenting a novel way of splitting up Locke’s objections to the Aristotelian notion of essence. The analysis will show that Locke’s anti-essentialism is still in good shape, and of contemporary significance. (shrink)

This article discusses different theoretical and methodological approaches in the humanities and social sciences which strive to analyse and understand, interpret and explain texts and discourses in systematic, qualitative ways. After reviewing some of the salient theories in the social sciences, I argue that critical discourse studies require a ‘trichotomy’ consisting of explanation, interpretation and critique. Other approaches such as Ricoeur’s ‘hermeneutic arc’ seem to neglect important structural and material dimensions of context as well as critical self-reflection. Moreover, I argue (...) that much intuitive and non-transparent speculation in Hermeneutics might be transcended if more historical, cultural, linguistic and philological knowledges would be systematically and explicitly integrated into the analysis of text and discourse, in a retroductable manner. The latter possibility is illustrated by applying an interdisciplinary framework to some brief examples. (shrink)

One of the prominent debates of post-Tridentine scholasticism addressed probability, often expressed by the term “moral” (or adverbially, “morally”), originally motivated by the epistemology of decision-making and the debates on predestination and “middle knowledge”. Puente (or Pedro) Hurtado de Mendoza (1578–1641), an Iberian Jesuit and the author of one of the earliest Jesuit philosophy courses, entered this debate in the early-seventeenth century. This paper presents his 1610s and 1620s analyses of different forms or degrees of evidence, certainty, and necessity or (...) impossibility, addressing the commonly-used trichotomy of the “metaphysical”, “physical”, and “moral”, in which “moral” is the weakest form of a modality, together with the paradigmatic examples and interesting applications of the framework. (shrink)