In this article, I use Edmund Gettier’s Ten Coins hypothetical scenario to illustrate some reasoning errors in the use of definite descriptions. The Gettier problem, central as it is to modern epistemology, is first and foremost an argument, which Gettier (Analysis 23(6):121–123, 1963) constructs to prove a contrary conclusion to a widely held view in epistemology. Whereas the epistemological claims in the case have been extensively analysed conceptually, the strategies and tools from other philosophical disciplines such as analytic philosophy of (...) language, logic and argumentation that Gettier deploys in the case have scarcely received any attention. This work abstracts from the epistemological content and examines Gettier’s handling of the definite description involved, and how that affects the cogency of his argument. (shrink)

The prototypes of definiteness and indefiniteness in English are the definite article the and the indefinite article a/an, and singular noun phrases (NPs)1 determined by them. That being the case it is not to be predicted that the concepts, whatever their content, will extend satisfactorily to other determiners or NP types. However it has become standard to extend these notions. Of the two categories definites have received rather more attention, and more than one researcher has characterized the category of definite (...) NPs by enumerating NP types. Westerståhl (1985), who is concerned only with determiners in the paper cited, gives a very short list: demonstrative NPs, possessive NPs, and definite descriptions. Prince (1992) lists proper names and personal pronouns, as well as NPs with the, a demonstrative, or a possessive NP as determiner. She notes, in addition, that “certain quantifiers (e.g. all, every) have been argued to be definite” (Prince 1992: 299). This list, with the quantifiers added, agrees with that given by Birner & Ward (1998, 114). Ariel (1988, 1990) adds null anaphoric NPs. (shrink)

The definition of art is controversial in contemporary philosophy. Whether art can be defined has also been a matter of controversy. The philosophical usefulness of a definition of art has also been debated. -/- Contemporary definitions can be classified with respect to the dimensions of art they emphasize. One distinctively modern, conventionalist, sort of definition focuses on art’s institutional features, emphasizing the way art changes over time, modern works that appear to break radically with all traditional art, the relational (...) properties of artworks that depend on works’ relations to art history, art genres, etc. – more broadly, on the undeniable heterogeneity of the class of artworks. The more traditional, less conventionalist sort of definition defended in contemporary philosophy makes use of a broader, more traditional concept of aesthetic properties that includes more than art-relational ones, and puts more emphasis on art’s pan-cultural and trans-historical characteristics – in sum, on commonalities across the class of artworks. Hybrid definitions aim to do justice to both the traditional aesthetic dimension as well as to the institutional and art-historical dimensions of art, while privileging neither. (shrink)

I discuss Aristotle's treatment of essence and definition in Metaphysics VII.4. I argue that it is coherent and perfectly in accord with its broader context. His discussion in VII.4 offers, on the one hand, minimal criteria for what counts as definition and essence for whatever kind of object, but also, on the other hand, stronger criteria for a primary sort of definition and essence—and thereby it serves the interest of book VII in pointing to the explanatory power of the essence (...) of composite substances. (shrink)

Paul Elbourne defends the Fregean view that definite descriptions ('the table', 'the King of France') refer to individuals, and offers a new and radical account of the semantics of pronouns. He draws on a wide range of work, from Frege, Peano, and Russell to the latest findings in linguistics, philosophy of language, and psycholinguistics.

The purpose of this book is to clarify the concept of definition and improve defining activities.

Epistemicism associates vagueness with ignorance produced by semantic plasticity: the shiftiness of intensions in our language resulting from small changes in usage. The recent literature (Caie 2012; Magidor 2018; Yli-Vakkuri 2016) points to a missing piece in the epistemicist theory of vagueness, namely a clear account of the semantics of the definiteness operator Δ. The fundamentals of the epistemicist theory are well understood. However, the technical work of defining the definiteness operator has proven difficult. There are several desiderata that we (...) would like Δ to satisfy. For instance, we would like the epistemicist notion of ‘definiteness’ to interact well with modal operators and validate intuitive principles like ‘necessarily, if φ is definitely true, then φ is true’. Providing an account that would meet all such desiderata has eluded the epistemicists so far. In this paper, I present a novel version of a multidimensional model inspired by the work of Robert Stalnaker and David Kaplan. Using this model, I provide an account of epistemicist definiteness that meets our desiderata. (shrink)

This paper distinguishes between definiteness and determinacy. Definiteness is seen as a morphological category which, in English, marks a uniqueness presupposition, while determinacy consists in denoting an individual. Definite descriptions are argued to be fundamentally predicative, presupposing uniqueness but not existence, and to acquire existential import through general type-shifting operations that apply not only to definites, but also indefinites and possessives. Through these shifts, argumental definite descriptions may become either determinate or indeterminate. The latter option is observed in examples like (...) ‘Anna didn’t give the only invited talk at the conference’, which, on its indeterminate reading, implies that there is nothing in the extension of ‘only invited talk at the conference’. The paper also offers a resolution of the issue of whether possessives are inherently indefinite or definite, suggesting that, like indefinites, they do not mark definiteness lexically, but like definites, they typically yield determinate readings due to a general preference for the shifting operation that produces them. (shrink)

The general theme of this article is the actual practice of how definitions are justified and formulated in mathematics. The theoretical insights of this article are based on a case study of topological definitions of chaos. After introducing this case study, I identify the three kinds of justification which are important for topological definitions of chaos: natural-world-justification, condition-justification and redundancy-justification. To my knowledge, the latter two have not been identified before. I argue that these three kinds of (...) justification are widespread in mathematics. After that, I first discuss the state of the art in the literature about the justification of definitions in the light of actual mathematical practice. I then go on to criticize Lakatos’s account of proof-generated definitions—the main account in the literature on this issue—as being limited and also misguided: as for topological definitions of chaos, in nearly all mathematical fields various kinds of justification are found and are also reasonable. (shrink)

We argue that definite noun phrases give rise to uniqueness inferences characterized by a pattern we call definiteness projection. Definiteness projection says that the uniqueness inference of a definite projects out unless there is an indefinite antecedent in a position that filters presuppositions. We argue that definiteness projection poses a serious puzzle for e-type theories of (in)definites; on such theories, indefinites should filter existence presuppositions but not uniqueness presuppositions. We argue that definiteness projection also poses challenges for dynamic approaches, which (...) have trouble generating uniqueness inferences and predicting some filtering behavior, though unlike the challenge for e-type theories, these challenges have mostly been noted in the literature, albeit in a piecemeal way. Our central aim, however, is not to argue for or against a particular view, but rather to formulate and motivate a generalization about definiteness which any adequate theory must account for. (shrink)

Definitions of terms that are central to a theoretical understanding of the Royal Government of Bhutan's policy of Gross National Happiness.

In this paper we analyze the uses and misuses of argumentation schemes from verbal classification, and show how argument from definition supports argumentation based on argument from verbal classification. The inquiry has inevitably included the broader study of the concept of definition. The paper presents the schemes for argument from classification and for argument from definition, and shows how the latter type of argument so typically supports the former. The problem of analyzing arguments based on classification is framed in a (...) structure that reveals the crucial role it plays in the persuasion process. The survey of the literature includes the work of Hastings, Perelman, Kienpointner and Schiappa, but still finds much of value in Aristotle. Lessons drawn from Aristotle’s Topics are shown to be useful for developing new tools for assessing definitions and arguments from definition. (shrink)

Survey of different definitions of lying and deceiving, with an emphasis on the contemporary debate between Thomas Carson, Roy Sorensen, Don Fallis, Jennifer Saul, Paul Faulkner, Jennifer Lackey, David Simpson, Andreas Stokke, Jorg Meibauer, Seana Shiffrin, and James Mahon, among others, over whether lies always aim to deceive. Related questions include whether lies must be assertions, whether lies always breach trust, whether it is possible to lie without using spoken or written language, whether lies must always be false, whether (...) lies that are unsuccessful are still lies, and whether deception must aim at creating false beliefs as opposed to preventing people from acquiring true beliefs. (shrink)

In some sentences, demonstratives can be substituted with definite descriptions without any change in meaning. In light of this, many have maintained that demonstratives are just a type of definite description. However, several theorists have drawn attention to a range of cases where definite descriptions are acceptable, but their demonstrative counterparts are not. Some have tried to account for this data by appealing to presupposition. I argue that such presuppositional approaches are problematic, and present a pragmatic account of the target (...) contrasts. On this approach, demonstratives take two arguments and generally require that the first, covert argument is non-redundant with respect to the second, overt argument. I derive this condition through an economy principle discussed by Schlenker (2005). (shrink)

Definitions vary according to context of use and target audience. They must be made relevant for each context to fulfill their cognitive and linguistic goals. This involves adapting their logical structure, type of content, and form to each context of use. We examine from these perspectives the case of definitions in ontologies.

. The term inversion principle goes back to Lorenzen who coined it in the early 1950s. It was later used by Prawitz and others to describe the symmetric relationship between introduction and elimination inferences in natural deduction, sometimes also called harmony. In dealing with the invertibility of rules of an arbitrary atomic production system, Lorenzen’s inversion principle has a much wider range than Prawitz’s adaptation to natural deduction. It is closely related to definitional reflection, which is a principle for reasoning (...) on the basis of rule-based atomic definitions, proposed by Hallnäs and Schroeder-Heister. After presenting definitional reflection and the inversion principle, it is shown that the inversion principle can be formally derived from definitional reflection, when the latter is viewed as a principle to establish admissibility. Furthermore, the relationship between definitional reflection and the inversion principle is investigated on the background of a universalization principle, called the ω- principle, which allows one to pass from the set of all defined substitution instances of a sequent to the sequent itself. (shrink)

I offer and defend an account of real definitions. I put forward two versions of the account, one formulated in terms of the notion of generalised identity and of a suitable notion of grounding, and the other one formulated in terms of the former notion and of a suitable notion of comparative joint-carvingness. Given a plausible assumption, and turn out to be equivalent. I give a sketch of a unified account of the three notions involved in and from which (...) the assumption can be derived. (shrink)

Initiatives relying on artificial intelligence (AI) to deliver socially beneficial outcomes—AI for social good (AI4SG)—are on the rise. However, existing attempts to understand and foster AI4SG initiatives have so far been limited by the lack of normative analyses and a shortage of empirical evidence. In this Perspective, we address these limitations by providing a definition of AI4SG and by advocating the use of the United Nations’ Sustainable Development Goals (SDGs) as a benchmark for tracing the scope and spread of AI4SG. (...) We introduce a database of AI4SG projects gathered using this benchmark, and discuss several key insights, including the extent to which different SDGs are being addressed. This analysis makes possible the identification of pressing problems that, if left unaddressed, risk hampering the effectiveness of AI4SG initiatives. (shrink)

Linguistic predictions may be generated from and evaluated against a representation of events and referents described in the discourse. Compatible with this idea, recent work shows that predictions about novel noun phrases include their definiteness. In the current follow-up study, we ask whether people engage similar prediction-related processes for definite and indefinite referents. This question is relevant for linguistic theories that imply a processing difference between definite and indefinite noun phrases, typically because definiteness is thought to require a uniquely identifiable (...) referent in the discourse. We addressed this question in an event-related potential (ERP) study (N = 48) with preregistration of data acquisition, preprocessing, and Bayesian analysis. Participants read Dutch mini-stories with a definite or indefinite novel noun phrase (e.g., “het/een huis,” the/a house), wherein (in)definiteness of the article was either expected or unexpected and the noun was always strongly expected. Unexpected articles elicited enhanced N400s, but unexpectedly indefinite articles also elicited a positive ERP effect at frontal channels compared to expectedly indefinite articles. We tentatively link this effect to an antiuniqueness violation, which may force people to introduce a new referent over and above the already anticipated one. Interestingly, expectedly definite nouns elicited larger N400s than unexpectedly definite nouns (replicating a previous surprising finding) and indefinite nouns. Although the exact nature of these noun effects remains unknown, expectedly definite nouns may have triggered the strongest semantic activation because they alone refer to specific and concrete referents. In sum, results from both the articles and nouns clearly demonstrate that definiteness marking has a rapid effect on processing, counter to recent claims regarding definiteness processing. (shrink)

Several recent commentators argue that Thomas Hobbes’s account of the nature of science is conventionalist. Engaging in scientific practice on a conventionalist account is more a matter of making sure one connects one term to another properly rather than checking one’s claims, e.g., by experiment. In this paper, I argue that the conventionalist interpretation of Hobbesian science accords neither with Hobbes’s theoretical account in De corpore and Leviathan nor with Hobbes’s scientific practice in De homine and elsewhere. Closely tied to (...) the conventionalist interpretation is the deductivist interpretation, on which it is claimed that Hobbes believed sciences such as optics are deduced from geometry. I argue that Hobbesian science places simplest conceptions as the foundation for geometry and the sciences in which we use geometry, which provides strong evidence against both the conventionalist and deductivist interpretations. (shrink)

Legal definitions will be examined from three perspectives: their pragmatic function, their propositional structure, and their argumentative role. In law, definitions can be used for different pragmatic purposes: they can be uttered to describe a concept, or to establish a new meaning for a term. The propositional content of definitional speech acts can be different. In law, like in ordinary conversation, there might be different types of definition: we can define by providing examples, or showing the fundamental characteristics (...) of the concept defined, or listing the constituent parts of the denotatum. All these definitions play different argumentative roles in legal discourse. At a third level, definitions can be thought of as premises in complex patterns of reasoning (for the subject of reasoning from definition in law, see Aarnio 1977; Moore 1980; Lindahl, 2004). They constitute the fundamental element of argument from classification, namely a pattern of inference in which a new property (or a name) is attributed to an entity on the basis of other properties. (shrink)

The aim of this study is to provide a discussion on the definitions and conceptual dimensions of Responsible Research and Innovation based on findings from the literature. In the study, the outcomes of a literature review of 235 RRI-related articles were presented. The articles were selected from the EBSCO and Google Scholar databases regarding the definitions and dimensions of RRI. The results of the study indicated that while administrative definitions were widely quoted in the reviewed literature, they (...) were not substantially further elaborated. Academic definitions were mostly derived from the institutional definitions; however, more empirical studies should be conducted in order to give a broader empirical basis to the development of the concept. In the current study, four distinct conceptual dimensions of RRI that appeared in the reviewed literature were brought out: inclusion, anticipation, responsiveness and reflexivity. Two emerging conceptual dimensions were also added: sustainability and care. (shrink)

Charles Stevenson introduced the term 'persuasive definition’ to describe a suspect form of moral argument 'which gives a new conceptual meaning to a familiar word without substantially changing its emotive meaning’. However, as Stevenson acknowledges, such a move can be employed legitimately. If persuasive definition is to be a useful notion, we shall need a criterion for identifying specifically illegitimate usage. I criticize a recent proposed criterion from Keith Burgess-Jackson and offer an alternative.

The consensus view in the literature is that, according to Kant, definitions in philosophy are impossible. While this is true prior to the advent of transcendental philosophy, I argue that with Kant's Copernican Turn definitions of some philosophical concepts, the categories, become possible. Along the way I discuss issues like why Kant introduces the ‘Analytic of Concepts’ as an analysis of the understanding, how this faculty, as the faculty for judging, provides the principle for the complete exhibition of (...) the categories, how the pure categories relate to the schematized categories, and how the latter can be used on empirical objects. (shrink)

Socrates' greatest philosophical contribution was to have initiated the search for definitions. In Definition in Greek Philosophy his views on definition are examined, together with those of his successors, including Plato, Aristotle, the Stoics, Galen, the Sceptics and Plotinus. Although definition was a major pre-occupation for many Greek philosophers, it has rarely been treated as a separate topic in its own right in recent years. This volume, which contains fourteen new essays by leading scholars, aims to reawaken interest in (...) a number of central and relatively unexplored issues concerning definition. These issues are briefly set out in the Introduction, which also seeks to point out scholarly and philosophical questions which merit further study. (shrink)

Where has the Western attraction to the study and practice of shamanic techniques brought us? Where might it take us? In what ways have our Western biases and philosophical underpinnings influenced and changed how shamanism is practiced, both in the West and in the traditional cultures out of which they emerged? Is it time to stop using the umbrella term “shamanism” to refer to such diverse cross-cultural practices? What are our responsibilities, both as researchers and as spiritual seekers? In this (...) conversation, researcher-authors Stephan Beyer, Stanley Krippner, and Hillary S. Webb discuss their work in field and consider some of the ramifications of the Western world's intellectual and spiritual fascination with shamanic practices. Special attention is paid to the language used to describe these techniques and their practitioners, the developing relationship between researchers and cultural participants, and the ethical implications of merging what are often very distinct worldviews. (shrink)

This paper discusses some of the ways in which circular definitions and circular explanations entail or fail to entail infinite regresses. And since not all infinite regresses are vicious, a few criteria of viciousness are examined in order to determine when the entailment of a regress refutes a circular definition or a circular explanation.

In the last thirty years, work in analytic philosophy of art has flourished, and it has given rise to considerably controversy. Stephen Davies describes and analyzes the definition of art as it has been discussed in Anglo-American philosophy during this period and, in the process, introduces his own perspective on ways in which we should reorient our thinking. Davies conceives of the debate as revealing two basic, conflicting approaches--the functional and the procedural--to the questions of whether art can be defined, (...) and if so, how. As the author sees it, the functionalist believes that an object is a work of art only if it performs a particular function (usually, that of providing a rewarding aesthetic experience). By contrast the proceduralist believes that something is an artwork only if it has been created according to certain rules and procedures. Davies attempts to demonstrate the fruitfulness of viewing the debate in terms of this framework, and he develops new arguments against both points of view--although he is more critical of functional than of procedural definitions. Because it has generated so much of the recent literature, Davies starts his analysis with a discussion of Morris Weitz's germinal paper, "The Role of Theory in Aesthetics." He goes on to examine other important works by Arthur Danto, George Dickie, and Ben Tilghman and develops in his critiques original arguments on such matters of the artificiality of artworks and the relevance of artists' intentions. (shrink)

Definite descriptions, I shall argue, have two possible functions. 1] They are used to refer to what a speaker wishes to talk about, but they are also used quite differently. Moreover, a definite description occurring in one and the same sentence may, on different occasions of its use, function in either way. The failure to deal with this duality of function obscures the genuine referring use of definite descriptions. The best known theories of definite descriptions, those of Russell and Strawson, (...) I shall suggest, are both guilty of this. Before discussing this distinction in use, I will mention some features of these theories to which it is especially relevant. (shrink)

Estonian doesn't have a definite article. Instead, bare singular noun phrases can unambiguously bear either a definite interpretation or an indefinite interpretation. This paper argues that the pragmatic principles governing the felicitous use of three English articles ("a", "the" and "another"), described by A Grønn and KJ Sæbø (2012, 'A, the, another: A game of same and different' Journal of Logic, Language and Information 21, 75-95) can also account for the conditions under which a bare singular noun phrase in Estonian (...) bears a definite or instead an indefinite interpretation. The two languages use the same pragmatic principles to determine the definiteness interpretation of a noun phrase. The difference is just that in English (where definiteness meanings have been lexicalized) these pragmatic principles govern the felicity of article use, whereas in Estonian they govern the interpretation of a bare singular noun phrase. (shrink)

"Distributed in the U.S.A. by Barnes & Noble, inc." Bibliography: p. [251]-257.

First published in Great Britain in 1948, this book examines the definition of goodness as being distinct from the question of What things are good? Although less immediately and obviously practical, Dr. Ewing argues that the former question is more fundamental since it raises the issue of whether ethics is explicable wholly in terms of something else, for example, human psychology. Ewing states in his preface that the definition of goodness needs to be confirmed before one decides on the place (...) value is to occupy in our conception of reality or on the ultimate characteristics which make one action right and another wrong. This book discusses these issues. (shrink)

This paper presents a puzzle about the logic of real definition. In particular, I demonstrate that five principles concerning definition (that it is coextensional and irreflexive, that it applies to its cases, that it permits expansion and that it is itself defined) are incompatible. I then explore the advantages and disadvantages of each principle—one of which must be rejected to restore consistency.

In the past century the received view of definition in mathematics has been the stipulative conception, according to which a definition merely stipulates the meaning of a term in other terms which are supposed to be already well known. The stipulative conception has been so absolutely dominant and accepted as unproblematic that the nature of definition has not been much discussed, yet it is inadequate. This paper examines its shortcomings and proposes an alternative, the heuristic conception.

Die einwandfreie Bestimmung der Begriffe ist die Grundlage einer jeden wissenschaftlichen Arbeit. Im Sinne der modernen Logik und Axiomatik hat erstmals Walter Dubislav die Methode des Definierens von Begriffen systematisch wie auch an Beispielen entwickelt. Sein Werk zeichnet sich durch klare Gedankenführung und didaktisches Geschick bei der Vermittlung philosophischer Sachverhalte aus, und es diskutiert alle einschlägigen Fragen, die sich dem an Methoden interessierten Wissenschaftler stellen. Es hat daher auch heute noch seinen systematischen Wert. Den gegenwärtigen Stand der Forschung im B...

According to an influential view, asserting a proposition involves undertaking some “commitment” to the truth of that proposition. But accounts of what it is for someone to be committed to the truth of a proposition are often vague or imprecise, and are rarely put to work to define assertion. This paper aims to fill this gap. It offers a precise characterisation of assertoric commitment, and shows how it can be applied to define assertion. On the proposed view, acquiring commitment is (...) not sufficient for asserting. To assert, commitment must be acquired by explicitly presenting a proposition as true. (shrink)

We pose two arguments for the view that sentences containing definite descriptions semantically express multiple propositions: a general proposition as Russell suggested, and a singular proposition featuring the individual who uniquely satisfies the description at the world-time of utterance. One argument mirrors David Kaplan's arguments that indexicals express singular propositions through a context-sensitive character. The second argument mirrors Kent Bach's and Stephen Neale's arguments for pluralist views about terms putatively triggering conventional implicatures, appositive, and nonrestrictive relative clauses. After presenting these (...) arguments, we show that rival explanations (appeals to implicature, referential use, presupposition, etc.) do not offer equally compelling explanations of the data, and defend the methodology employed in the arguments against some criticisms. (shrink)

An examination of the post-Darwinian history of biological taxonomy reveals an implicit assumption that the definitions of taxon names consist of lists of organismal traits. That assumption represents a failure to grant the concept of evolution a central role in taxonomy, and it causes conflicts between traditional methods of defining taxon names and evolutionary concepts of taxa. Phylogenetic definitions of taxon names (de Queiroz and Gauthier 1990) grant the concept of common ancestry a central role in the (...) class='Hi'>definitions of taxon names and thus constitute an important step in the development of phylogenetic taxonomy. By treating phylogenetic relationships rather than organismal traits as necessary and sufficient properties, phylogenetic definitions remove conflicts between the definitions of taxon names and evolutionary concepts of taxa. The general method of definition represented by phylogenetic definitions of clade names can be applied to the names of other kinds of composite wholes, including populations and biological species. That the names of individuals (composite wholes) can be defined in terms of necessary and sufficient properties provides the foundation for a synthesis of seemingly incompatible positions held by contemporary individualists and essentialists concerning the nature of taxa and the definitions of taxon names. (shrink)

This book proposes guidelines for constructing and evaluating definitions of terms, i.e. words or phrases of general application. The guidelines extend to adoption of nomenclature. The book is meant to be a practical guide for people who find themselves in their daily lives or their employment producing or evaluating definitions of terms. It can be consulted rather than being read through. The book’s theoretical framework is a distinction, due to Robert H. Ennis, of three dimensions of definitions: (...) the act of the definer, the content of the definition, and its form. The act of a definer is what the definer does in defining a term; the book distinguishes, following Ennis, three basic acts of defining: reporting, stipulating, and advocating. The content of a definition is in one sense the information that the definition conveys and in another sense the words in its defining part. The form of a definition is the way it is expressed, for example as a definition by genus and differentia. (shrink)

Throughout history, schools of economic thought have defined political economy—or economics—and its object of study in multiple ways. This paper reflects on the definitions of economics by schools of economic thought and also proposes the concepts of value and scarcity as key concepts to explain the differences between them. The most important findings of the paper are: (a) the ontological and epistemological characteristics of the concept of value and scarcity have shaped the definitions of economics; (b) the boundaries (...) of the study object of economics have been expanded since today’s mainstream economics deals with multiple topics as diverse as crime, education, development, health, etc. However, the methodological tools used in mainstream economics have been narrowed since approaches such as the philosophical, ethical, historical, and institutional approaches have been left behind; (c) the part of reality that mainstream economics can grasp have left behind important issues of the contemporary world, such as gender, social, and environmental issues. A clear understanding of the scope and boundaries of economics could help to define more realistic research questions for economic science, and it would help to define new economic paradigms that address the contemporary issues. (shrink)

This paper presents rules of inference for a binary quantifier I for the formalisation of sentences containing definite descriptions within intuitionist positive free logic. I binds one variable and forms a formula from two formulas. Ix[F, G] means ‘The F is G’. The system is shown to have desirable proof-theoretic properties: it is proved that deductions in it can be brought into normal form. The discussion is rounded up by comparisons between the approach to the formalisation of definite descriptions recommended (...) here and the more usual approach that uses a term-forming operator ι, where ιxF means ‘the F’. (shrink)