In this book, Linda Wetzel examines the distinction between types and tokens and argues that types exist (as abstract objects, since they lack a unique ...

The distinction between a type and its tokens is a useful metaphysical distinction. In §1 it is explained what it is, and what it is not. Its importance and wide applicability in linguistics, philosophy, science and everyday life are briefly surveyed in §2. Whether types are universals is discussed in §3. §4 discusses some other suggestions for what types are, both generally and specifically. Is a type the sets of its tokens? What exactly is a word, a symphony, (...) a species? §5 asks what a token is. §6 considers the relation between types and their tokens. Do the type and all its tokens share the same properties? Must all the tokens be alike in some or all respects? §7 explains some problems for the view that types exist, and some problems for the view that they don't. §8 elucidates a distinction often confused with the type-token distinction, that between a type (or token) and an occurrence of it. It also discusses some problems that occurrences might be thought to give rise to, and one way to resolve them. (shrink)

Douglas Walton’s multitudinous contributions to the study of argumentation seldom, if ever, directly engage with argumentation in mathematics. Nonetheless, several of the innovations with which he is most closely associated lend themselves to improving our understanding of mathematical arguments. I concentrate on two such innovations: dialogue types (§1) and argumentation schemes (§2). I argue that both devices are much more applicable to mathematical reasoning than may be commonly supposed.

Using tools like argument diagrams and profiles of dialogue, this paper studies a number of examples of everyday conversational argumentation where determination of relevance and irrelevance can be assisted by means of adopting a new dialectical approach. According to the new dialectical theory, dialogue types are normative frameworks with specific goals and rules that can be applied to conversational argumentation. In this paper is shown how such dialectical models of reasonable argumentation can be applied to a determination of whether an (...) argument in a specific case is relevant are not in these examples. The approach is based on a linguistic account of dialogue and text from congruity theory, and on the notion of a dialectical shift. Such a shift occurs where an argument starts out as fitting into one type of dialogue, but then it only continues to makes sense as a coherent argument if it is taken to be a part of a different type of dialogue. (shrink)

Types are fundamental for conceptual modeling and knowledge representation, being an essential construct in all major modeling languages in these fields. Despite that, from an ontological and cognitive point of view, there has been a lack of theoretical support for precisely defining a consensual view on types. As a consequence, there has been a lack of precise methodological support for users when choosing the best way to model general terms representing types that appear in a domain, and for building sound (...) taxonomic structures involving them. For over a decade now, a community of researchers has contributed to the development of the Unified Foundational Ontology (UFO) - aimed at providing foundations for all major conceptual modeling constructs. At the core of this enterprise, there has been a theory of types specially designed to address these issues. This theory is ontologically well- founded, psychologically informed, and formally characterized. These results have led to the development of a Conceptual Modelling language dubbed OntoUML, reflecting the ontological micro-theories comprising UFO. Over the years, UFO and OntoUML have been successfully employed on conceptual model design in a variety of domains including academic, industrial, and governmental settings. These experiences exposed improvement opportunities for both the OntoUML language and its underlying theory, UFO. In this paper, we revise the theory of types in UFO in response to empirical evidence. The new version of this theory shows that many of OntoUML’s meta-types (e.g. kind, role, phase, mixin) should be considered not as restricted to substantial types but instead should be applied to model endurant types in general, including relator types, quality types, and mode types. We also contribute with a formal characterization of this fragment of the theory, which is then used to advance a new metamodel for OntoUML (termed OntoUML 2). To demonstrate that the benefits of this approach are extended beyond OntoUML, the proposed formal theory is then employed to support the definition of UFO-based lightweight Semantic Web ontologies with ontological constraint checking in OWL. Additionally, we report on empirical evidence from the literature, mainly from cognitive psychology but also from linguistics, supporting some of the key claims made by this theory. Finally, we propose a computational support for this updated metamodel. (shrink)

It is the aim of INDICES to document recent explorations in the various fields of philosophical logic and formal linguistics and their applications in other disciplines. The main emphasis of this series is on self-contained monographs covering particular areas of recent research and surveys of methods, problems, and results in all fields of inquiry where recourse to logical analysis and logical methods has been fruitful. INDICES will contain monographs dealing with the central areas of philosophical logic (extensional and intensional systems, (...) indexical logics, non-classical logics, philosophy of logic, etc.) as well as studies in which these systems are applied to specific issues in philosophy, in the formal semantics of natural languages, the foundations of linguistic theory, in computational linguistics, and in theoretical computer science. Constructive type theory was first presented in 1970, by the Swedish logician Per Martin-Lof. It has become one of the main approaches used in the foundations of mathematics and computer science. But it has remained relatively unknown among linguists and philosophers, although it provides a considerable extension of the concepts and techniques of logic. The book first gives an introduction to type theory from the point of view of linguistics and the philosophy of language. Type theory is then applied in the areas of quantification, anaphora, temporal reference, and the structure of text and discourse. By virtue of the type-theoretical concepts of proof object and context, various phenomena of dependence and progression in language can be discussed in precise terms, and several well-known problems can be solved. A categorial grammar is presented togenerate formally a fragment of English, together with an example of a computer implementation. (shrink)

Higher-order logic, with its type-theoretic apparatus known as the simple theory of types (STT), has increasingly come to be employed in theorizing about properties, relations, and states of affairs—or ‘intensional entities’ for short. This paper argues against this employment of STT and offers an alternative: ordinal type theory (OTT). Very roughly, STT and OTT can be regarded as complementary simplifications of the ‘ramified theory of types’ outlined in the Introduction to Principia Mathematica (on a realist reading). While STT, (...) understood as a theory of intensional entities, retains the Fregean division of properties and relations into a multiplicity of categories according to their adicities and ‘input types’ and discards the division of intensional entities into different ‘orders’, OTT takes the opposite approach: it retains the hierarchy of orders (though with some modifications) and discards the categorisation of properties and relations according to their adicities and input types. In contrast to STT, this latter approach avoids intensional counterparts of the Epimenides and related paradoxes. Fundamental intensional entities lie at the base of the proposed hierarchy and are also given a prominent part to play in the individuation of non-fundamental intensional entities. (shrink)

I argue that imperatives express contents that are both cognitively and semantically related to, but nevertheless distinct from, modal propositions. Imperatives, on this analysis, semantically encode features of planning that are modally specified. Uttering an imperative amounts to tokening this feature in discourse, and thereby proffering it for adoption by the audience. This analysis deals smoothly with the problems afflicting Portner's Dynamic Pragmatic account and Kaufmann's Modal account. It also suggests an appealing reorientation of clause-type theorizing, in which the (...) cognitive act of updating on a typed sentence plays a central role in theorizing about both its semantics and role in discourse. (shrink)

The replication crisis has caused researchers to distinguish between exact replications, which duplicate all aspects of a study that could potentially affect the results, and direct replications, which duplicate only those aspects of the study that are thought to be theoretically essential to reproduce the original effect. The replication crisis has also prompted researchers to think more carefully about the possibility of making Type I errors when rejecting null hypotheses. In this context, the present article considers the utility of (...) two types of Type I error probability: the Neyman–Pearson long run Type I error rate and the Fisherian sample-specific Type I error probability. It is argued that the Neyman–Pearson Type I error rate is inapplicable in social science because it refers to a long run of exact replications, and social science deals with irreversible units that make exact replications impossible. Instead, the Fisherian sample-specific Type I error probability is recommended as a more meaningful way to conceptualize false positive results in social science because it can be applied to each sample-specific decision about rejecting the same substantive null hypothesis in a series of direct replications. It is concluded that the replication crisis may be partly due to researchers’ unrealistic expectations about replicability based on their consideration of the Neyman–Pearson Type I error rate across a long run of exact replications. (shrink)

The inflation of Type I error rates is thought to be one of the causes of the replication crisis. Questionable research practices such as p-hacking are thought to inflate Type I error rates above their nominal level, leading to unexpectedly high levels of false positives in the literature and, consequently, unexpectedly low replication rates. In this article, I offer an alternative view. I argue that questionable and other research practices do not usually inflate relevant Type I error (...) rates. I begin with an introduction to Type I error rates that distinguishes them from theoretical errors. I then illustrate my argument with respect to model misspecification, multiple testing, selective inference, forking paths, exploratory analyses, p-hacking, optional stopping, double dipping, and HARKing. In each case, I demonstrate that relevant Type I error rates are not usually inflated above their nominal level, and in the rare cases that they are, the inflation is easily identified and resolved. I conclude that the replication crisis may be explained, at least in part, by researchers’ misinterpretation of statistical errors and their underestimation of theoretical errors. (shrink)

This paper argues that donkey pronouns should be construed as definite articles, followed by an NP sister which has undergone deletion in the phonology. So Every man who owns a donkey beats it is claimed to share a Logical Form with Every man who owns a donkey beats the donkey, which means the same. There is independent evidence for assimilating pronouns to determiners, and for NP-deletion; so this theory explains E-type anaphora without postulating any special entity (`E-type pronoun') (...) for the purpose. Since NP-deletion, like other ellipsis, requires an antecedent, this theory also explains the requirement for a "formal link" between donkey pronoun and antecedent, which standard E-type theories find difficult to account for. Other empirical advantages of this theory include its ability to explain the pattern of strict and sloppy identity displayed by donkey sentences with phonologically reduced continuations. It is shown that Bach-Peters sentences, quantificational subordination, and paycheck sentences can also be dealt with on the present approach. (shrink)

Recent debates in metaphysics have highlighted the significance of type theories, such as Simple Type Theory (STT), for our philosophical analysis. In this chapter, I present the salient features of a constructive type theory in the style of Martin-Löf, termed CTT. My principal aim is to convey the flavour of this rich, flexible and sophisticated theory and compare it with STT. I especially focus on the forms of quantification which are available in CTT. A further aim is (...) to argue that a comparison between a plurality of theories is beneficial to the philosophical analysis. We may, for example, discover helpful features of one theory that we may want to import into another context, thus enriching our repertoire of formal tools. Or, through comparison with a less well-known theory, we may gain a better understanding of the characteristics of the theories we are familiar with. As argued in this chapter, CTT has much to offer in all of these respects. (shrink)

This paper describes the automated classification of legal norms in German statutes with regard to their semantic type. We propose a semantic type taxonomy for norms in the German civil law domain consisting of nine different types focusing on functional aspects, such as Duties, Prohibitions, Permissions, etc. We performed four iterations in classifying legal norms with a rule-based approach using a manually labeled dataset, i.e., tenancy law, of the German Civil Code ). During this experiment the \ score (...) continuously improved from 0.52 to 0.78. In contrast, a machine learning based approach for the classification was implemented. A performance of \ was reached. Traditionally, machine learning classifiers lack of transparency with regard to their decisions. We extended our approach using so-called local linear approximations, which is a novel technique to analyze and inspect a trained classifier’s behavior. We can show that there are significant similarities of manually crafted knowledge, i.e., rules and pattern definitions, and the trained decision structures of machine learning approaches. (shrink)

It has recently been suggested that the type/token theorist concerning musical works cannot come up with an adequate semantic theory of those sentences in which we purport to talk about such works. Specifically, it has been claimed that, since types are abstract entities, a type/token theorist can only account for the truth of sentences such as “The 1812 Overture is very loud” and “Bach's Two Part Invention in C has an F-sharp in its fourth measure” by adopting an (...) untenable semantic claim: namely, that the predicates in such sentences, once applied to musical works, undergo a systematic shift in their meanings. This article is a sustained explanation of why our talk about musical works in fact provides no problem for the type/token theorist. First, we demonstrate that the aforementioned “meaning shift” approach to the sentences’ predicates is well motivated and very credible. Second, we explain how the type/token theorist can adopt the best available version of an alternative, generic quantificational approach to such sentences. Third, we establish that other semantic theories, presented as undermining the type/token theory by giving us a reason for adopting eliminativism about types, are much less theoretically virtuous than the two theories that a type/token theorist can freely adopt. (shrink)

Are works of music types of performance or are they continuants? Types are unchanging entities that could not have been otherwise; continuants can undergo change through time and could have been different. Picking up on this distinction, Guy Rohrbaugh has recently argued that musical works are continuants rather than performance-types. This paper replies to his arguments and, in the course of so doing, elaborates and defends the conception of musical works as types of performance. I end the article by arguing (...) that the conception of musical works as continuants is under-motivated and, ultimately, obscure. (shrink)

Type materialism is a theory of the place of states of phenomenal consciousness in nature. It is the theory that qualitative mental states are type identical with certain neuroscientific states. This chapter examines this theory and discusses some required background details. There are currently a number of scientific projects that are aimed at finding the neural correlates of states of phenomenal consciousness. Whether any of these projects will succeed is of course an empirical issue. Type materialism for (...) phenomenal consciousness is the view that types of states of phenomenal consciousness are identical with their strict neuroscientific correlates. If type materialism is true, then states of phenomenal consciousness are causally efficacious; for they are neuroscientific states with causal effects. Type materialism allows that there can be phenomenal consciousness in actual “absent folk role” cases. The chapter distinguishes type materialism from representationalism and psychofunctionalism. (shrink)

First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.

Abstract: Tomatoes are part of the major crops in food security. Tomatoes are plants grown in temperate and hot regions of South American origin from Peru, and then spread to most countries of the world. Tomatoes contain a lot of vitamin C and mineral salts, and are recommended for people with constipation, diabetes and patients with heart and body diseases. Studies and scientific studies have proven the importance of eating tomato juice in reducing the activity of platelets in diabetics, which (...) helps in protecting them from developing deadly blood clots. A tomato classification approach is presented with a data set containing approximately 5,266 images with 7 species belonging to tomatoes. The Neural Network Algorithms (CNN), a deep learning technique applied widely in image recognition, is used for this task. (shrink)

_Psychological Types_ is one of Jung's most important and most famous works. First published by Routledge in the early 1920s it appeared after Jung's so-called fallow period, during which he published little, and it is perhaps the first significant book to appear after his own confrontation with the unconscious. It is the book that introduced the world to the terms 'extravert' and 'introvert'. Though very much associated with the unconscious, in _Psychological Types_ Jung shows himself to be a supreme theorist (...) of the conscious. In putting forward his system of psychological types Jung provides a means for understanding ourselves and the world around us: our different patterns of behaviour, our relationships, marriage, national and international conflict, organizational functioning. Appearing in paperback for the first time this central volume from Jung's Collected Works will be essential to anyone requiring a proper understanding of Jung's psychology. (shrink)

Belief in destiny is one of the principles of faith. Although the belief in fate is not explicitly mentioned in the Qur’an, there are many verses that indicate this belief. There are many hadiths about fate that have reached us from the Prophet. Although there are schools that deny destiny, Ahl al-Sunnah schools Ash‘aris and Maturidis accept the existence of belief in destiny. The definitions of destiny of these schools are expressed with words that can be used interchangeably. However, fate (...) should not be evaluated in a single category. It also has varieties. If destiny is perceived as only one kind of Forced destiny, it is inevitable to cause misunderstandings. Forced fate; it is destiny that does not give freedom to beings; It happens with the knowledge, will, power and creation of Allah. Some destinies of inanimate substances, plants, animals and humans are of this type. Jabr and responsibility are incompatible. Although some actions take place in their own bodies, people are not responsible for their forced destiny. Man is a freely created being within certain limits. The ability of intellect, will, power, and carrying out actions has been granted to them. By using them, a person performs his acts of will, and as a result, he becomes responsible for his actions. Having free will and freedom distinguishes humans from other living things. Where there is no human freedom, there is no responsibility. Human life is not uniform, it is in a state of constant change and transformation. In addition to these two types of fate, there is also a type of fate that turns into willful fate, although it was forced in the beginning. In addition to this, there are some actions that start with the will of man and later turn into forced fate. There are also types of disability that we have examined in connection with the belief in destiny and its types. Allah has sent humans to the world to be tested. Illness and disability are also part of the test. Diseases; they may be due to genetic, environmental factors, and food-related. Congenital diseases and disabilities can sometimes cause the world test to be difficult. The biological rules set by Allah are also valid for humans. Genetic hereditary diseases and disabilities occur when the genes carried by the parents are passed on to the child. While some genes are recessive, some genes are dominant. Genes that cause hereditary diseases and disabilities show an uneven distribution depending on their geographical habitats, sharing the same environment in the historical process, and the extent of intermingling of their lineages through marriages. While recessive genes can be passed on from generation to generation, dominant genes that cause death generally do not have the opportunity to pass on to the next generation. In today’s context, the diagnosis of genetic diseases and disabilities is attainable, enabling the implementation of necessary precautions accordingly; furthermore, partial or even complete treatment opportunities can be available depending on the circumstances. In this respect, all of the congenital diseases and disabilities due to genes are a forced fate that is not in the hands of man. As for those diseases and disabilities for which treatment opportunities exist, they fall under the category of fate that transitions from forced fate to willful destiny. Some genetic diseases and disabilities of people may appear in later ages. However, non-genetic diseases and disabilities are also facts of life. Every individual can become ill and experience disability during certain periods of their life. Diseases and disabilities can occur with a number of factors that do not depend on an individual's will, actions, or behaviors. Such diseases are also within the scope of forced fate. A person can also be disabled due to one’s own mistakes and negligence. However, it is a behavior befitting a Muslim to be treated in cases of all kinds of diseases and disabilities. The treatment of diseases for which there is a cure is a willed destiny. Diseases and obstacles that cannot be cured are forced fate. (shrink)

Realism about types is the view that types are abstract and repeatable objects. Although type realists seem to agree that types, unlike properties, are objects in their own right, they argue that there is a metaphysically intimate tie between the existence conditions of types and properties. In particular, most type realists believe that types are, in a certain sense, determined by the properties that underlie them. I argue that this is a mistake, especially for those type realists (...) who believe that social and cultural types such as works of music and fiction or words are artifacts. I offer an alternative version of type realism where social and cultural types are dependent objects that should be understood in analogy with concrete artifacts. (shrink)

of type theory has been used successfully to formalize large parts of constructive mathematics, such as the theory of generalized recursive definitions [NPS90, ML79]. Moreover, it is also employed extensively as a framework for the development of high-level programming languages, in virtue of its combination of expressive strength and desirable proof-theoretic properties [NPS90, Str91]. In addition to simple types A, B, . . . and their terms x : A b(x) : B, the theory also has dependent types x (...) : A B(x), which are regarded as indexed families of types. There are simple type forming operations A × B and A → B, as well as operations on dependent types, including in particular the sum x:A B(x) and product x:A B(x) types (see the appendix for details). The Curry-Howard interpretation of the operations A × B and A → B is as propositional conjunction and.. (shrink)

First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.

Godfrey-Smith ( 2001 ) has distinguished three types of adaptationism. This article builds on his analysis, and revises it in places, by distinguishing seven varieties of adaptationism. This taxonomy allows us to clarify what is at stake in debates over adaptationism, and it also helps to cement the importance of Gould and Lewontin’s ‘Spandrels’ essay. Some adaptationists have suggested that their essay does not offer any coherent alternative to the adaptationist programme: it consists only in an exhortation to test adaptationist (...) hypotheses more thoroughly than was usual in the 1970s. Here it is argued that the ‘Spandrels’ paper points towards a genuinely non-adaptationist methodology implicit in much evolutionary developmental biology. This conclusion helps to expose the links between older debates over adaptationism and more recent questions about the property of evolvability. (shrink)

We describe an infinitary logic for metric structures which is analogous to Lω1,ω. We show that this logic is capable of expressing several concepts from analysis that cannot be expressed in finitary continuous logic. Using topological methods, we prove an omitting types theorem for countable fragments of our infinitary logic. We use omitting types to prove a two-cardinal theorem, which yields a strengthening of a result of Ben Yaacov and Iovino concerning separable quotients of Banach spaces.

Talk of different types of cells is commonplace in the biological sciences. We know a great deal, for example, about human muscle cells by studying the same type of cells in mice. Information about cell type is apparently largely projectible across species boundaries. But what defines cell type? Do cells come pre-packaged into different natural kinds? Philosophical attention to these questions has been extremely limited [see e.g., Wilson (Species: New Interdisciplinary Essays, pp 187–207, 1999; Genes and the (...) Agents of Life, 2005; Wilson et al. Philos Top 35(1/2):189–215, 2007)]. On the face of it, the problems we face in individuating cellular kinds resemble those biologists and philosophers of biology encountered in thinking about species: there are apparently many different (and interconnected) bases on which we might legitimately classify cells. We could, for example, focus on their developmental history (a sort of analogue to a species’ evolutionary history); or we might divide on the basis of certain structural features, functional role, location within larger systems, and so on. In this paper, I sketch an approach to cellular kinds inspired by Boyd’s Homeostatic Property Cluster Theory, applying some lessons from this application back to general questions about the nature of natural kinds. (shrink)

In [3] John S. Bell proposed how to associate particle trajectories with a lattice quantum field theory, yielding what can be regarded as a |Ψ|2-distributed Markov process on the appropriate configuration space. A similar process can be defined in the continuum, for more or less any regularized quantum field theory; such processes we call Bell-type quantum field theories. We describe methods for explicitly constructing these processes. These concern, in addition to the definition of the Markov processes, the efficient calculation (...) of jump rates, how to obtain the process from the processes corresponding to the free and interaction Hamiltonian alone, and how to obtain the free process from the free Hamiltonian or, alternatively, from the one-particle process by a construction analogous to “second quantization.” As an example, we consider the process for a second quantized Dirac field in an external electromagnetic field. (shrink)

While concerns of the mental being causally excluded by the physical have persistently plagued non-reductive physicalism, such concerns are standardly taken to pose no problem for reductive type physicalism. Type physicalists have the obvious advantage of being able to countenance the reduction of mental properties to their physical base properties by way of type identity, thereby avoiding any causal competition between instances of mental properties and their physical bases. Here, I challenge this widely accepted advantage of (...) class='Hi'>type physicalism over non-reductive physicalism in avoiding the causal exclusion of the mental. In particular, I focus on Jaegwon Kim’s influential version of the causal exclusion argument, namely, his supervenience argument. I argue that type physicalism’s advantage is undermined by the following two things: (1) the generalizability of the supervenience argument, and (2) type physicalism’s incompatibility with mental properties at the fundamental level. This involves evaluating the generalization objection to the supervenience argument, probing the metaphysics of physicalism, and showing how (1) and (2) combine in a way that appears underappreciated given the general confidence in type physicalism’s advantage. (shrink)

We prove a Gleason-type theorem for the quantum probability rule using frame functions defined on positive-operator-valued measures, as opposed to the restricted class of orthogonal projection-valued measures used in the original theorem. The advantage of this method is that it works for two-dimensional quantum systems and even for vector spaces over rational fields—settings where the standard theorem fails. Furthermore, unlike the method necessary for proving the original result, the present one is rather elementary. In the case of a qubit, (...) we investigate similar results for frame functions defined upon various restricted classes of POVMs. For the so-called trine measurements, the standard quantum probability rule is again recovered. (shrink)

In this essay I shall argue that the crucial assumptions of Kripke's argument, i.e. the collapse of the appearance/reality distinction in the case of phenomenal states and the idea of a qualitatively identical epistemic situation, imply an objective principle of identity for mental-state types. This principle, I shall argue, rather than being at odds with physicalism, is actually compatible with both the type-identity theory of the mind and Kripke's semantics and metaphysics. Finally, I shall sketch a version of the (...) type-identity theory. (shrink)

Blindsight is a kind of residual vision found in people with lesions to V1. Subjects with blindsight typically report no visual awareness, but they are nonetheless able to make above-chance guesses about the shape, location, color and movement of visual stimuli presented to them in their blind field. A different kind of blindsight, sometimes called type 2 blindsight, is a kind of residual vision found in patients with V1 lesions in the presence of some residual awareness. Type 2 (...) blindsight differs from ordinary visual experience in lacking the particularity, transparency and fine-grainedness often taken to be essential to visual experience, at least in veridical cases. I argue that the case of type 2 blindsight provides a counterexample to the view that these characteristics are essential to veridical visual experience and that this gives us reason to resist the view that visual experience is essentially a perceptual relation to external objects. In the second part of the paper I argue that the case of type 2 blindsight yields important insights into the effects of attentional modulation on perceptual content and that cases of attentional modulation of appearance are not at odds with the view that the phenomenology of visual experience flows from its content. (shrink)

The sense of embodiment is vital for self recognition. An examination of anosognosia for hemiplegia—the inability to recognise that one is paralysed down one side of one’s body—suggests the existence of ‘online’ and ‘offline’ representations of the body. Online representations of the body are representations of the body as it is currently, are newly constructed moment by moment and are directly “plugged into” current perception of the body. In contrast, offline representations of the body are representations of what the body (...) is usually like, are relatively stable and are constructed from online representations. This distinction is supported by an analysis of phantom limb—the feeling that an amputated limb is still present—phenomena. Initially it seems that the sense of embodiment may arise from either of these types of representation; however, an integrated representation of the body seems to be required. It is suggested information from vision and emotions is involved in generating these representations. A lack of access to online representations of the body does not necessarily lead to a loss in the sense of embodiment. An integrated offline representation of the body could account for the sense of embodiment and perform the functions attributed to this sense. (shrink)

We formulate a Curry-typed logic with fine-grained intensionality within Turner’s typed predicate logic. This allows for an elegant presentation of a theory that corresponds to Fox and Lappin’s property theory with curry typing, but without the need for a federation of languages. We then consider how the fine-grained intensionality of this theory can be given an operational interpretation. This interpretation suggests itself as expressions in the theory can be viewed as terms in the untyped lambda-calculus, which provides a model of (...) computation. (shrink)

A number of social theorists have contended that the essence of historical analysis is the employment of ideal types to comprehend past goings-on. But, while acknowledging that the study of history through ideal types can yield genuine insight, we may still ask if it represents the full emancipation of historical understanding from other modes of conceiving the past. This paper follows Michael Oakeshott's work on the philosophy of history in arguing that explaining the historical past by means of ideal types, (...) even though offering a coherent and fruitful enterprise, nevertheless falls short of fully embodying the characteristics that differentiate historical understanding. -/- This dispute involves fundamental issues regarding the nature of the social sciences. Furthermore, I suggest that it is of more than purely theoretical interest, in that social theorists who have accepted the Weberian view of historical inquiry will tend to be unaware of the defects inherent in all attempts to capture the nature of past events in a net of generalizations, and thus may be lead to ignore the inherent partiality of the understanding of historical happenings provided by ideal typification. (shrink)

The distinction between a type and its tokens is auseful metaphysical distinction. In §1 it is explained what itis, and what it is not. Its importance and wide applicability inlinguistics, philosophy, science and everyday life are brieflysurveyed in §2. Whether types are universals is discussed in§3. §4 discusses some other suggestions for what types are,both generally and specifically. Is a type the sets of its tokens?What exactly is a word, a symphony, a species? §5 asks what atoken is. (...) §6 considers the relation between types and theirtokens. Do the type and all its tokens share the same properties? Mustall the tokens be alike in some or all respects? §7 explains someproblems for the view that types exist, and some problems for the viewthat they don’t. §8 elucidates a distinction often confused withthe type-token distinction, that between a type and anoccurrence of it. It also discusses some problems thatoccurrences might be thought to give rise to, and one way to resolvethem. (shrink)

We develop and defend a distinction between two types of self-censorship: public and private. First, we suggest that public self-censorship refers to a range of individual reactions to a public censorship regime. Second, private self-censorship is the suppression by an agent of his or her own attitudes where a public censor is either absent or irrelevant. The distinction is derived from a descriptive approach to self-censorship that asks: who is the censor, who is the censee, and how do they interact? (...) We label situations in which censor and censee are different agents as public self-censorship, and situations in which they are the same agents as private self-censorship. We demonstrate the salience of this distinction by analysing the case of publication of Mohammed cartoons by the Danish newspaper Jyllands-Posten. Our analysis reveals the presence and interaction of a number of different instances of private and public self-censorship. While our article is primarily concerned with establishing this novel descriptive distinction between public and private self-censorship, our analysis has important evaluative implications. We explain for instance how Jyllands-Posten was laudable as a public self-censor but not so as a private self-censor. In general, our analysis reveals that the agents and processes involved in public and private self-censorship are substantively different, as are the agents to whom normative principles regarding censorship should be applied. In particular, principles of free speech do not apply to the case of private self-censorship, because while an instance of censorship, the absence of an external censor makes the censorship non-coercive. (shrink)

We study type-definable subgroups of small index in definable groups, and the structure on the quotient, in first order structures. We raise some conjectures in the case where the ambient structure is o-minimal. The gist is that in this o-minimal case, any definable group G should have a smallest type-definable subgroup of bounded index, and that the quotient, when equipped with the logic topology, should be a compact Lie group of the "right" dimension. I give positive answers to (...) the conjectures in the special cases when G is 1-dimensional, and when G is definably simple. (shrink)

Gödel's modal ontological argument is the centerpiece of an extensive examination of intensional logic. First, classical type theory is presented semantically, tableau rules for it are introduced, and the Prawitz/Takahashi completeness proof is given. Then modal machinery is added to produce a modified version of Montague/Gallin intensional logic. Finally, various ontological proofs for the existence of God are discussed informally, and the Gödel argument is fully formalized. Parts of the book are mathematical, parts philosophical.

In advanced books and courses on logic (e.g. Sm], BM]) Gentzen-type systems or their dual, tableaux, are described as techniques for showing validity of formulae which are more practical than the usual Hilbert-type formalisms. People who have learnt these methods often wonder why the Automated Reasoning community seems to ignore them and prefers instead the resolution method. Some of the classical books on AD (such as CL], Lo]) do not mention these methods at all. Others (such as Ro]) (...) do, but the connections and reasons for preference remain unclear after reading them (at least to the present author, and obviously also the authors of OS], in which a theorem-prover, based exclusively on tableaux, is described). The confusion becomes greater when the reader is introduced to Kowalski's form of a clause ( Ko], Bu]), which is nothing but a Gentzen's sequent of atomic formulae, and when he realizes that resolution is just a form of a Cut, and so that while the elimination of cuts is the principal tool in proof-theory, its use is the main technique in AD! (shrink)

In, Marker and Steinhorn characterized models of an o‐minimal theory such that all types over M realized in N are definable. In this article we characterize pairs of algebraically closed valued fields satisfying the same property. In o‐minimal theories, a pair of models for which all 1‐types over M realized in N are definable has already the desired property. Although it is true that if M is an algebraically closed valued field such that all 1‐types over M are definable then (...) all types over M are definable, we build a counterexample for the relative statement, i.e., we show for any that there is a pair of algebraically closed valued fields such that all n‐types over M realized in N are definable but there is an ‐type over M realized in N which is not definable. (shrink)

The book, which stepwise develops successively more powerful logical and grammatical systems, covers an unusually broad range of material.