This is an essay for undergraduates. I set out the statue/clay problem and Tibbles/Tib in rich detail. I also present, with less detail, some other puzzles about material composition.

Dialogue semantics for logic are two-player logic games between a Proponent who puts forward a logical formula φ as valid or true and an Opponent who disputes this. An advantage of the dialogical approach is that it is a uniform framework from which different logics can be obtained through only small variations of the basic rules. We introduce the composition problem for dialogue games as the problem of resolving, for a set S of rules for dialogue games, (...) whether the set of S-dialogically valid formulas is closed under modus ponens. Solving the composition problem is fundamental for the dialogical approach to logic; despite its simplicity, it often requires an indirect solution with the help of significant logical machinery such as cut-elimination. Direct solutions to the composition problem can, however, sometimes be had. As an example, we give a set N of dialogue rules which is well-justified from the dialogical point of view, but whose set N of dialogically valid formulas is both non-trivial and non-standard. We prove that the composition problem for N can be solved directly, and introduce a tableaux system for N. (shrink)

The primary purpose of this book is to document the pervasive ramifications of the compositional problem (the discipline's historical inability to define or ...

According to the most popular theories of intentionality, a family of theories we will refer to as “functional intentionality,” a machine can have genuine intentional states so long as it has functionally characterizable mental states that are causally hooked up to the world in the right way. This paper considers a detailed description of a robot that seems to meet the conditions of functional intentionality, but which falls victim to what I call “the composition problem.” One obvious way (...) to escape the problem (arguably, the only way) is if the robot can be shown to be a moral patient – to deserve a particular moral status. If so, it isn’t clear how functional intentionality could remain plausible (something like “phenomenal intentionality” would be required). Finally, while it would have seemed that a reasonable strategy for establishing the moral status of intelligent machines would be to demonstrate that the machine possessed genuine intentionality, the composition argument suggests that the order of precedence is reversed: The machine must first be shown to possess a particular moral status before it is a candidate for having genuine intentionality. (shrink)

Naive mereology studies ordinary, common-sense beliefs about part and whole. Some of the speculations in this article on naive mereology do not bear directly on Peter van Inwagen's "Material Beings". The other topics, (1) and (2), both do. (1) Here is an example of Peter Unger's "Problem of the Many". How can a table be a collection of atoms when many collections of atoms have equally strong claims to be that table? Van Inwagen invokes fuzzy sets to solve this (...) problem. I claim that an alternative treatment of vagueness, supervaluations over many-value valuations, provides a better solution. (2) The Special Composition Question asks how parts compose a whole. One who rejects van Inwagen's answer in terms of constituting a life need not provide some alternative answer. Even if all answers to the Special Question fail, there are a multitude of less general composition questions that are not so difficult. (shrink)

On the grounds that there are no mereological composites, mereological nihilists deny that ordinary objects exist. Even if nihilism is true, however, I argue that tables and chairs exist anyway: for I deny that ordinary objects are the mereological sums the nihilist rejects. Instead, I argue, ordinary objects have a different nature; they are arrangements, not composites. My argument runs as follows. First, I defend realism about ordinary objects by showing that there is something that plays the role of ordinary (...) objects in perception and discourse, and that ordinary objects are whatever plays this role. Next, I argue that it is arrangements that play this role. It follows that ordinary objects exist- even if mereological nihilism is true. (shrink)

One of the central issues in the recent discussion of rule-following has been the apparent gap between the finitude of any facts about the rule-follower and the infinitude of possible applications of rules. In this paper the author argues that the combination of the rule-follower's disposition and explicit directions can fill this gap with respect to the interpretation of individual words, but that the problem of finitude remains a serious threat to compositional semantics for natural language because there are (...) no explicit directions we can rely on in learning its rules. (shrink)

Assume also that it is vague, in some sense, which hairs are hairs of that cat. Then one might think that it is indeterminate in some sense which thing is the cat on the mat.

This chapter examines the problem of unity and considers how it is possible for one thing to exist in and through a plurality of parts or phases. It begins with a general discussion of the existence of composite things. The chapter considers the view that composite entities are always an 'ontological free lunch', things that can be freely posited without incurring any cost in relation to ontological economy or Ockham's Razor. It looks at the issue of causal redundancy, a (...) consideration which suggests that positing composite entities as fundamental things is in fact quite costly, something to be undertaken only with strong reasons. The chapter examines three candidates for fundamental composite entities: heaps, artifacts, and organisms. It considers question of which sorts of composite things exist at all, whether fundamentally or derivatively. This involves a search for an intelligible principle of composition. (shrink)

A semantics may be compositional and yet partial, in the sense that not all well-formed expressions are assigned meanings by it. Examples come from both natural and formal languages. When can such a semantics be extended to a total one, preserving compositionality? This sort of extension problem was formulated by Hodges, and solved there in a particular case, in which the total extension respects a precise version of the fregean dictum that the meaning of an expression is the contribution (...) it makes to the meanings of complex phrases of which it is a part. Hodges' result presupposes the so-called Husserl property, which says roughly that synonymous expressions must have the same category. Here I solve a different version of the compositional extension problem, corresponding to another type of linguistic situation in which we only have a partial semantics, and without assuming the Husserl property. I also briefly compare Hodges' framework for grammars in terms of partial algebras with more familiar ones, going back to Montague, which use many-sorted algebras instead. (shrink)

The Problems, which occupy pp. 859-967 of the Berlin Aristotle, have probably been less read and studied than any other treatise in the Aristotelian Corpus; they contain, however, a vast quantity of interesting information on a great variety of subjects, and an enquiry into their composition may be not without interest.

Aristotle’s On generation and corruption raises a vital question: how is mixture, or what we would now call chemical combination, possible? It also offers an outline of a solution to the problem and a set of criteria that a successful solution must meet. Understanding Aristotle’s solution and developing a viable peripatetic theory of chemical combination has been a source of controversy over the last two millennia. We describe seven criteria a peripatetic theory of mixture must satisfy: uniformity, recoverability, potentiality, (...) equilibrium, alteration, incompleteness, and the ability to distinguish mixture from generation, corruption, juxtaposition, augmentation, and alteration. After surveying the theories of Philoponus , Avicenna , Averroes , and John M. Cooper , we argue for the merits of Richard Rufus of Cornwall’s theory. Rufus was a little known scholastic philosopher who became a Franciscan theologian in 1238, after teaching Aristotelian natural philosophy as a secular master in Paris. Lecturing on Aristotle’s De generatione et corruptione, around the year 1235, he offered his students a solution to the problem of mixture that we believe satisfies Aristotle’s seven criteria.Author Keywords: Mixture; Mixt; Chemical combination; Accidental potential; Potential; Elements; Medieval chemistry; Peripatetic chemistry; Aristotelian science; Richardus Rufus; Averroes ; Avicenna ; Philoponus ; John M. Cooper. (shrink)

Some philosophers accept what I call minimalist views about composition. They either deny that composition ever occurs, or they only allow that composition occurs when some things are taken up into a life. While minimalists often take their views to be somewhat revisionary, they usually want to distinguish their views from truly radical views such as the view that there is no external world at all. They often do this by noting that, although they don’t believe that (...) there are tables, chairs, or planets, they do believe that there are mereological simples arranged tablewise, chairwise, and planetwise. In this paper, I appeal to the nature of perceptual experience to present a problem for this move. I contend that, given some plausible assumptions, compositional minimalists cannot consistently maintain that they are justified in their minimalism and justified in believing propositions about the arrangements of mereological simples. I will argue that this commits such minimalists to external world skepticism. (shrink)

Aristotle’s On generation and corruption raises a vital question: how is mixture, or what we would now call chemical combination, possible? It also offers an outline of a solution to the problem and a set of criteria that a successful solution must meet. Understanding Aristotle’s solution and developing a viable peripatetic theory of chemical combination has been a source of controversy over the last two millennia. We describe seven criteria a peripatetic theory of mixture must satisfy: uniformity, recoverability, potentiality, (...) equilibrium, alteration, incompleteness, and the ability to distinguish mixture from generation, corruption, juxtaposition, augmentation, and alteration. After surveying the theories of Philoponus (d. 574), Avicenna(d. 1037), Averroes (d. 1198), and John M. Cooper (fl. circa2000), we argue for the merits of Richard Rufus of Cornwall’s theory. Rufus (fl. 1231–1256) was a little known scholastic philosopher who became a Franciscan theologian in 1238, after teaching Aristotelian natural philosophy as a secular master in Paris. Lecturing on Aristotle’s De generatione et corruptione, around the year 1235, he offered his students a solution to the problem of mixture that we believe satisfies Aristotle’s seven criteria. # 2004 Elsevier Ltd. All rights reserved. (shrink)

In a recent book C.S. Jenkins proposes a theory of arithmetical knowledge which reconciles realism about arithmetic with the a priori character of our knowledge of it. Her basic idea is that arithmetical concepts are grounded in experience and it is through experience that they are connected to reality. I argue that the account fails because Jenkins’s central concept, the concept for grounding, is inadequate. Grounding as she defines it does not suffice for realism, and by revising the definition we (...) would abandon the idea that grounding is experiential. Her account falls prey to a problem of which Locke, whom she regards as a source of inspiration was aware and which he avoided by choosing anti-realism about mathematics. (shrink)

Orthodoxy has it that mereological composition can never be a vague matter, for if it were, then existence would sometimes be a vague matter too, and that's impossible. I accept that vague composition implies vague existence, but deny that either is impossible. In this paper I develop degree-theoretic versions of quantified modal logic and of mereology, and combine them in a framework that allows us to make clear sense of vague composition and vague existence, and the relationships (...) between them. (shrink)

When some objects are the parts of another object, they compose that object and that object is composite. This article is intended as an introduction to the central questions about composition and a highly selective overview of various answers to those questions. In §1, we review some formal features of parthood that are important for understanding the nature of composition. In §2, we consider some answers to the question: which pluralities of objects together compose something? As we will (...) see, the dominant answers are all of them and none of them. In §§3-4, we examine one of the main arguments that has driven philosophers to these extreme answers: the argument from vagueness. In §5, we turn to the question of whether composition is unique: is it sometimes the case that some things compose more than one thing? Finally, in §6, we turn from the question of which composites exist to the question of which composites exist fundamentally. (shrink)

This chapter contains sections titled: 1 A Question about Composition 2 Some Answers 3 How Shall We Decide? 4 Common Sense and Unrestricted Composition 5 Common Sense and Compositional Nihilism 6 Compositional Nihilism and the Self 7 The Appeal to Science 8 Problem or Pseudoproblem? What To Do?

The problem that motivates me arises from a constellation of factors pulling in different, sometimes opposing directions. Simplifying, they are: (1) The complexity of the world; (2) Humans’ ambitious project of theoretical knowledge of the world; (3) The severe limitations of humans’ cognitive capacities; (4) The considerable intricacy of humans’ cognitive capacities . Given these circumstances, the question arises whether a serious notion of truth is applicable to human theories of the world. In particular, I am interested in the (...) questions: (a) Is a substantive standard of truth for human theories of the world possible? (b) What kind of standard would that be? (shrink)

The paper is an extended discussion of what I call the ‘dismissive attitude’ towards metaphysical questions. It has three parts. In the first part, I distinguish three quite different versions of dismissivism. I also argue that there is little reason to think that any of these positions is correct about the discipline of metaphysics as a whole; it is entirely possible that some metaphysical disputes should be dismissed and others should not be. Doing metametaphysics properly requires doing metaphysics first. I (...) then put two particular disputes on the table to be examined in the rest of the paper: the dispute over whether composite objects exist, and the dispute about whether distinct objects can be colocated. In the second part of the paper, I argue against the claim that these disputes are purely verbal disputes. In the third part of the paper, I present a new version of dismissivism, and argue that it is probably the correct view about the two disputes in question. They are not verbal disputes, and the discussion about them to date has not remotely been a waste of time. At this stage, however, our evidence has run out. I argue that neither side of either dispute is simpler than the other, and that the same objections in fact arise against both sides. (For example, the compositional nihilist does not in fact escape the problem of the many, and the one-thinger does not in fact escape the grounding problem.). (shrink)

According to the so-called strong variant of Composition as Identity (CAI), the Principle of Indiscernibility of Identicals can be extended to composition, by resorting to broadly Fregean relativizations of cardinality ascriptions. In this paper we analyze various ways in which this relativization could be achieved. According to one broad variety of relativization, cardinality ascriptions are about objects, while concepts occupy an additional argument place. It should be possible to paraphrase the cardinality ascriptions in plural logic and, as a (...) consequence, relative counting requires the relativization either of quantifiers, or of identity, or of the is one of relation. However, some of these relativizations do not deliver the expected results, and others rely on problematic assumptions. In another broad variety of relativization, cardinality ascriptions are about concepts or sets. The most promising development of this approach is prima facie connected with a violation of the so-called Coreferentiality Constraint, according to which an identity statement is true only if its terms have the same referent. Moreover - even provided that the problem with coreferentiality can be fixed - the resulting analysis of cardinality ascriptions meets several difficulties. (shrink)

Composition as Identity is the view that an object is identical to its parts taken collectively. I elaborate and defend a theory based on this idea: composition is a kind of identity. Since this claim is best presented within a plural logic, I develop a formal system of plural logic. The principles of this system differ from the standard views on plural logic because one of my central claims is that identity is a relation which comes in a (...) variety of forms and only one of them obeys substitution unrestrictedly. I justify this departure from orthodoxy by showing some problems which result from attempts to avoid inconsistencies within plural logic by means of postulating other non-singular terms besides plural terms. Thereby, some of the main criticisms raised against Composition as Identity can be addressed. Further, I argue that the way objects are arranged is relevant with respect to the question which object they compose, i.e. to which object they are identical to. This helps to meet a second group of arguments against Composition as Identity. These arguments aim to show that identifying composite objects on the basis of the identity of their parts entails, contrary to our common sense view, that rearranging the parts of a composite object does not leave us with a different object. Moreover, it allows us to carve out the intensional aspects of Composition as Identity and to defend mereological universalism, the claim that any objects compose some object. Much of the pressure put on the latter view can be avoided by distinguishing the question whether some objects compose an object from the question what object they compose. Eventually, I conclude that Composition as Identity is a coherent and plausible position, as long as we take identity to be a more complex relation than commonly assumed. (shrink)

Many of us think that ordinary objects – such as tables and chairs – exist. We also think that ordinary objects have parts: my chair has a seat and some legs as parts, for example. But once we are committed to the (seemingly innocuous) thesis that ordinary objects are composed of parts, we then open ourselves up to a whole host of philosophical problems, most of which center on what exactly this composition relation is. Composition as Identity (CI) (...) is the view that the composition relation is the identity relation. While such a view has some advantages, there are many arguments against it. In this essay, I discuss several versions of the most common objection against CI, and show how the CI theorist can maintain that these arguments – contrary their initial intuitive appeal – are nonetheless unsound. (shrink)

Many of us think that ordinary objects – such as tables and chairs – exist. We also think that ordinary objects have parts: my chair has a seat and some legs as parts, for example. But once we are committed to the thesis that ordinary objects are composed of parts, we then open ourselves up to a whole host of philosophical problems, most of which center on what exactly the composition relation is. Composition as Identity is the view (...) that the composition relation is the identity relation. While such a view has some advantages, there are many arguments against it. In this essay, I will briefly canvass three different varieties of Composition as Identity, and suggest why one of them should be preferred over the others. Then I will outline several versions of the most common objection against CI. I will suggest how a CI theorist can respond to these charges by maintaining that some of the arguments are invalid. (shrink)

Many of us think that ordinary objects – such as tables and chairs – exist. We also think that ordinary objects have parts: my chair has a seat and some legs as parts, for example. But once we are committed to the (seemingly innocuous) thesis that ordinary objects are composed of parts, we then open ourselves up to a whole host of philosophical problems, most of which center on what exactly the composition relation is. Composition as Identity (CI) (...) is the view that the composition relation is the identity relation. While such a view has some advantages, there are many arguments against it. In this essay, I will briefly canvass three different varieties of Composition as Identity, and suggest why one of them should be preferred over the others. Then I will outline several versions of the most common objection against CI. I will suggest how a CI theorist can respond to these charges by maintaining that some of the arguments are invalid. (In part 2, I show how a CI theorist can maintain that the remaining arguments, while valid, are unsound). (shrink)

One of the main motivations for compositional nihilism, the view that there are no composite material objects, concerns the many puzzles and problems associated with them. Nihilists claim that eliminating composites provides a unified solution to a slew of varied, difficult problems. However, numerous philosophers have questioned whether this is really so. While nihilists clearly avoid the usual, composite-featuring formulations of the puzzles, the concern is that the commitments that generate the problems are not eliminated along with composites. If this (...) is correct, it severely undercuts the motivation for the view. However, I argue that it is not correct. The aim of this paper is to explain exactly how and why eliminating composites dissolves substantive metaphysical puzzles. More generally, I aim to clarify the nihilist’s ontological commitments and the scope of the paraphrase strategy she employs. (shrink)

In this essay, the author examines the problem of the composition of spiritual substances in Thierry of Chartres and Gundissalinus. While Thierry is reticent to admit a hylomorphism in spiritual creatures, Gundissalinus develops Thierry’s thought on the matter through al-Ghazālī’s and Ibn Daud’s treatment of the composition in spiritual substances. Gundissalinus concludes that spiritual creatures are composed of matter and form, a conclusion that would be unacceptable to his main philosophical authorities.

According to many, to have epistemic justification to believe P is just for it to be epistemically permissible to believe P. Others think it is for believing P to be epistemically good. Yet others think it has to do with being epistemically blameless in believing P. All such views of justification encounter problems. Here, a new view of justification is proposed according to which justification is a kind of composite normative status. The result is a view of justification that offers (...) hope of solving some longstanding epistemological problems. (shrink)

According to ‘Strong Composition as Identity’, if an entity is composed of a plurality of entities, it is identical to them. As it has been argued in the literature, SCAI appears to give rise to some serious problems which seem to suggest that SCAI-theorists should take their plural quantifier to be governed by some ‘weak’ plural comprehension principle and, thus, ‘exclude’ some kinds of pluralities from their plural ontology. The aim of this paper is to argue that, contrary to (...) what may appear at first sight, the assumption of a weak plural comprehension principle is perfectly compatible with plural logic and the common uses of plural quantification. As I aim to show, SCAI-theorists can simply claim that their theory must be understood as formulated by means of the most ‘joint-carving’ plural quantifier, thus leaving open the possibility of other, less joint-carving, ‘unrestricted’ plural quantifiers. In the final part of the paper I will also suggest that SCAI-theorists should not only allow for singular quantification over pluralities of entities, but also for plural quantification over ‘super-pluralities’ of entities. (shrink)

This paper is devoted to the late Leibnizian doctrine of vinculum substantiale. In the first section I sketch the old problem of possibility of composite substances. This possibility is refuted on the ground of Monadism (presented in section two). However Leibniz’s correspondence with Des Bosses contains new thoughts concerning composite substances. A vinculum enters the stage as a real unifier, transforming aggregates of monads into genuine substances (section three). In the last section I give a systematic interpretation of a (...) vinculum.I start with the thesis that every composed thing, which is not a pure plurality of objects, must have two structures: the whole-parts structure and the subject-properties structure. In the case of substances the latter is ontologically prior over the former. A vinculum is a subject-of-properties (accidents) determining such a way of composition which makes a compound entity a true substance. Since Leibniz still thought a vinculum unifies independent (existentially and with regard to activity) substances he was inclined to separate a vinculum from the integrated monads and finally conceived it as an additional relatively independent monad-like substance. (shrink)

This paper presents the first possible world semantics for concessive conditionals (i.e., even if A, C conditionals) constructed in a compositional way. First, the meaning of if is formalized through a semantics that builds on the proposal given by Stalnaker (1968). A major difference from Stalnaker’s approach is that irrelevant conditionals (i.e., conditionals where the antecedent and the consequent have no connection) are false in this new setting. Second, the meaning of even is analyzed through a formal semantics based on (...) the notion of scale. This analysis overcomes the problems arising in standard approaches, in which even is analyzed with the help of pragmatic presuppositions. Finally, the two particles are combined in order to provide a formal analysis of even if. This theory predicts the major phenomena concerning the behavior of concessive conditionals and without any call to pragmatic explanations. More generally, this approach creates the possibility of a compositional analysis of other conditionals such as if then or only if forms. (shrink)

In a pair of recent articles, Brian Leftow and Eleonore Stump offer independent, although similar, accounts of the metaphysics of the Incarnation. Both believe that their Aquinas-inspired theories can offer solutions to the kind of Leibniz’s Law problems that can seem to threaten the logical possibility of this traditional Christian doctrine. In this paper, I’ll have a look at their compositional account of the nature of God incarnate. In the end, I believe their position can be seen to have unacceptable (...) philosophical and theological implications, and that is it inadequate to solve the Leibniz’s law problems that motivate it in the first place. (shrink)

In this paper we investigate composition models of incarnation, according to which Christ is a compound of qualitatively and numerically different constituents. We focus on three-part models, according to which Christ is composed of a divine mind, a human mind, and a human body. We consider four possible relational structures that the three components could form. We argue that a ‘hierarchy of natures’ model, in which the human mind and body are united to each other in the normal way, (...) and in which they are jointly related to the divine mind by the relation of co-action, is the most metaphysically plausible model. Finally, we consider the problem of how Christ can be a single person even when his components may be considered persons. We argue that an Aristotelian metaphysics, according to which identity is a matter of function, offers a plausible solution: Christ's components may acquire a radically new identity through being parts of the whole, which enables them to be reidentified as parts, not persons. (shrink)

In this paper we investigate composition models of incarnation, according to which Christ is a compound of qualitatively and numerically different constituents. We focus on three-part models, according to which Christ is composed of a divine mind, a human mind, and a human body. We consider four possible relational structures that the three components could form. We argue that a ’hierarchy of natures’ model, in which the human mind and body are united to each other in the normal way, (...) and in which they are jointly related to the divine mind by the relation of coaction, is the most metaphysically plausible model. Finally, we consider the problem of how Christ can be a single person even when his components may be considered persons. We argue that an Aristotelian metaphysics, according to which identity is a matter of function, offers a plausible solution: Christ’s components may acquire a radically new identity through being parts of the whole, which enables them to be reidentified as p. (shrink)

Descartes argues that the mind and body are really distinct substances. He also insists that minds and bodies compose human beings. But how are mind and body united to compose a human? This question is crucial to understanding the place of human beings in Descartes’s ontology. Many scholars argue that Descartes has no solution to the unity problem, and they call into question the ontological status of mind- body composites. On some views, Cartesian humans are mere aggregates, like stacks (...) of pancakes; on other views, Descartes is not entitled to the view that humans exist at all. I argue that Descartes has a solution to the unity problem, and that he appropriates this solution from contemporaneous Jesuit discussions of soul- body unity—discussions that remain mostly unknown to contemporary scholars. The upshot is that Descartes has the metaphysical machinery to account for mind-body unity, and doesn’t have to say that a human being is like a stack of pancakes. (shrink)

According to the thesis known as ‘Composition as Identity’ (‘CAI’), every entity is identical to the parts it fuses. Many authors in the literature acknowledge that, in spite of its controversial character, one attractive virtue of CAI is its apparent ability to give a straightforward account of the innocence of mereology. In this paper I will present a simple argument according to which CAI entails that no composite entity can be said to be ontologically innocent in the relevant sense. (...) After having shown that said argument is independent from the problems surrounding the infamous ‘Collapse Principle’, I will conclude that CAI-theorists should endorse a suitably ‘restricted’ version of CAI. In the final part of the paper I will then argue that the best restricted version of CAI is the theory according to which every composite entity is identical to the plurality of its atomic parts. (shrink)

In this new work, Richard T. W. Arthur offers a fresh interpretation of Leibniz's theory of substance. He goes against a long trend of idealistic interpretations of Leibniz's thought by instead taking seriously Leibniz's claim of introducing monads to solve the problem of the composition of matter and motion.

The purpose of this article is to identify a close, "polyphonic" connection, consolidation of ancient forms and techniques of compositional writing of the twentieth century. The subject of the study is the choral creativity of Alexander Vustin. The object of the study is the consideration of polyphonic works of techniques in A. Vustin's composition "Veni Sancte Spiritus". The musical language of A. Vustin is characterized by extreme restraint, depth, semantic concentration. The appeal to ancient polyphonic genres, forms and techniques (...) of writing in A. Vustin's choral compositions is characterized by an individual approach to solving a creative idea. The nature of the presentation of the original source, the methods of working with it acquires uniqueness in accordance with the new artistic tasks of modern music. Through the synthesis of research methods, including musicology, poetics and choral studies, the parameters of a musical composition are revealed: a musical-text source is attributed, genre specifics and musical form are analyzed. The author examines in detail such an aspect of the topic as the dialectical interaction of constructive and destructive formants of the architectonics of the musical form of polyphonic compositions for chorus. Special attention is paid to the ancient technique of writing on the cantus firmus in its refraction in modern choral composition.The main conclusion of the conducted research is the paradigm of artistic connections of genres, forms and techniques of ancient polyphony with modern means of compositional writing. Attention is focused on the need to study the issues related to the architectonics of modern choral composition, due not only to the general artistic and historical potential of choral culture as a whole, but especially its great importance in modern musical art. The novelty of the research lies in the fact that for the first time polyphonic techniques in modern choral composition are analyzed from the standpoint of musicology and choral studies. A special contribution of the author to the disclosure of the topic is the study of the composition "Veni Sancte Spiritus" by A. Vustin, which has not previously been the object of special research, and its introduction into modern scientific usage. (shrink)

I here propose a hitherto unnoticed possibility of solving embedding problems for noncognitivist expressivists in metaethics by appeal to Conceptual Role Semantics. I show that claims from the latter as to what constitutes various concepts can be used to define functions from states expressed by atomic sentences to states expressed by complex sentences, thereby allowing an expressivist semantics that satisfies a rather strict compositionality constraint. The proposal can be coupled with several different types of concept individuation claim, and is shown (...) to pave the way to novel accounts for, e.g., negation. (shrink)

The idea that an utterance of a basic (nondeviant) declarative sentence expresses a single true-or-false proposition has dominated philosophical discussions of meaning in this century. Refinements aside, this idea is less of a substantive theses than it is a background assumption against which particular theories of meaning are evaluated. But there are phenomena (noted by Frege, Strawson, and Grice) that threaten at least the completeness of classical theories of meaning, which associate with an utterance of a simple sentence a truth-condition, (...) a Russellian proposition, or a Fregean thought. And it may well be the case that a framework within which utterances express sequences of propositions provides much of what is needed to account for the relevant phenomena, a better overall picture of the way language works, and an enticingly uniform perspective on a variety of semantic problems. I do not myself take to theories that multiply propositions by appealing to propositions “presupposed” or to pairs of Fregean and Russellian propositions, or theories that show no respect for a distinction between semantics and pragmatics— where the former is the study of propositions whose general form and character is determined by word meaning and syntax—or for theories that blithely abandon general principles of composition and semantic innocence. I would like to sketch a package based on four interconnected ideas: (i) the meaning of an individual word is a sequence of instructions for generating a sequence of propositions (in conjunction with compositional instructions (syntax) and elements of context); (ii) utterances themselves are not bearers of truth or falsity; (iii) judgements of truth, falsity, commitment, and conflict are shaped, in part, by the weights attached to individual 1 propositions that occur in sequences expressed by utterances, weights that may be set (and reset) by contextual considerations; (iv) Fregean senses are superfluous; propositions might as well be Russellian (Mont Blanc and all its snow fields will do as well as any mode of presentation).. (shrink)

The problem of the composition of Thucydides' History, first raised by Ullrich in 1846, has evoked a mass of controversial literature. In this article I shall confine myself to the main arguments and conclusions. Thucydides' history is unfinished, not only because it breaks off at 411 b.c., but also because the style is uneven. The history of the Archidamian War to 424 b.c. and of the Sicilian War is fully polished and complete; the remainder is lacking in stylistic (...) finish and particularly in the set speeches which characterize the completed books. This unevenness can be explained by the circumstances of Thucydides' life. For the period 431–424 b.c. he could obtain full information at Athens and, after his exile in 424 b.c., at Sparta and elsewhere; for the Sicilian War he could obtain full information in Sicily from the Siceliotes and from the Athenian prisoners. He was thus in a position to complete his history for these two periods. During his exile from 424 b.c. to 404 or 403 b.c. he lacked the information from the Athenian side, which was necessary for the completion of the remainder of his work. Further light is shed on the unevenness of finish by Thucydides' method of composition. He informs us that he began his work at the beginning of the war, and that he was watching and applying his judgement throughout the Twenty-seven Years War; and the statement that he wrote the history down to the capture of the Peiraeus implies his collection of material down to 404 b.c. The working up of this material must have been conditioned partly by the circumstances of the war; in particular, the conception of the Twenty-seven Years War cannot have been formed until after 415 or 412 b.c. (shrink)

Discusses the composition of economic causes. Applications of John Stuart Mill’s inductive method to economics; Problems with the deductive method; Effect of multiple causal factors in economics; Derivation of economic laws; Mill’s arguments for deductive economics.