We study semi-isolation as a binary relation on the locus of a complete type and prove that—under some additional assumptions—it induces the strict order property.

We prove that the existence of a nonisolated type having a finite domain and which is orthogonal to øin a 1-based theory implies that it has a continuum nonisomorphic countable models.

SummaryHow can the immense amount of suffering and waste inherent in the evolutionary process be reconciled with the existence of a perfectly good and omnipotent God? A widely embraced proposal in the area of “evolutionary theodicy” is the so-called “Only Way”-argument. This argument contends that certain valuable goods – in particular, creaturely independence and human freedom – can only come about through a genuinely indeterministic and partly uncontrolled process of evolution. In a previous article, I have argued that the “Only (...) Way”-argument can be defeated by a “Twin Earth”-thought experiment: If God is omnipotent, he could have created – directly, without evolution – creatures that are molecule-for-molecule identical to those that he actually created through evolution. If the creatures that he actually created have freedom and independence, there is no valid reason to deny that the non-evolved “twin creatures” would also be free and independent. Recently, Eikrem and Søvik have suggested a way of blocking my Twin Earth-argument by appealing to the distinction between type-values and token-values. While ES admit that the Twin Earth-argument shows the non-necessity of evolution for the existence of certain type-goods, they argue that an evolutionary creation can be justified by appeal to valuable token-goods that could not have existed without evolution. In this article, I respond to ES’s token-goods argument by showing that it is incompatible with a basic presupposition of “Only Way” evolutionary theodicies, namely the claim that the evolutionary process is genuinely indeterministic and partly uncontrolled. (shrink)

The logic of identity contains riches not seen through the coarse lens of predicate logic. This is one of several lessons to draw from the subtle treatment of identity in Martin‐Löf type theory, to which the reader will be introduced in this article. After a brief general introduction we shall mainly be concerned with the distinction between identity propositions and identity judgements. These differ from each other both in logical form and in logical strength. Along the way, connections to (...) philosophical debates concerning identity are noted. Some use of logical symbolism is inevitable in any serious discussion of type theory, but the emphasis here is on basic ideas rather than technicalities. (shrink)

This is a book about sensory states and their apparent characteristics. It confronts a whole series of metaphysical and epistemological questions and presents an argument for type materialism: the view that sensory states are identical with the neural states with which they are correlated. According to type materialism, sensations are only possessed by human beings and members of related biological species; silicon-based androids cannot have sensations. The author rebuts several other rival theories, and explores a number of important (...) issues: the forms and limits of introspective awareness of sensations, the semantic properties of sensory concepts, knowledge of other minds, and unity of consciousness. The book is a significant contribution to the philosophy of mind, and has much to say to psychologists and cognitive scientists. (shrink)

Approaches to self‐management traditionally focus upon individual capacity to make behavioural change. In this paper, we use Bourdieu's concepts of habitus and capital to demonstrate the impact of structural inequalities upon chronic illness self‐management through exploring findings from 28 semi‐structured interviews conducted with people from a lower socioeconomic region of Adelaide, South Australia who have type 2 diabetes. The data suggests that access to capital is a significant barrier to type 2 diabetes self‐management. While many participants described having (...) sufficient cultural capital to access and assess health information, they often lacked economic capital and social capital in the form of support networks who promote health. Participants were often involved in social networks in which activities which are contrary to self‐management have symbolic value. As a consequence, they entered relationships with health professionals at a disadvantage. We conclude that structural barriers to self‐management arising from habitus resulting in the performance of health behaviours rooted in cultural and class background and limited access to capital in the form of economic resources, social networks, health knowledge and prestige may have a negative impact on capacity for type 2 diabetes self‐management. (shrink)

In recent years, several formalisms for program construction have appeared. One such formalism is the type theory developed by Per Martin-L f. Well suited as a theory for program construction, it makes possible the expression of both specifications and programs within the same formalism. Furthermore, the proof rules can be used to derive a correct program from a specification as well as to verify that a given program has a certain property. This book contains a thorough introduction to (...) class='Hi'>type theory, with information on polymorphic sets, subsets, monomorphic sets, and a full set of helpful examples. (shrink)

It has been known for long time that most of the existing cosmology models have singularity problem. Cosmological singularity has been a consequence of excessive symmetry of flow, such as “Hubble’s law”. More realistic one is suggested, based on Newtonian cosmology model but here we include the vertical-rotational effect of the whole Universe. We review a Riccati-type equation obtained by Nurgaliev, and solve the equation numerically with Mathematica. It is our hope that the new proposed method can be verified (...) with observation data. (shrink)

I assess Robert Kane's view that global Frankfurt-type cases don't show that freedom to do otherwise is never required for moral responsibility. I first adumbrate Kane's indeterminist account of free will.This will help us grasp Kane's notion of ultimate responsibility, and his claim that in a global Frankfurt-type case, the counterfactual intervener could not control all of the relevant agent's actions in the Frankfurt manner, and some of those actions would be such that the agent could have done (...) otherwise. Appealing to considerations of responsibility and luck, I then show that the global cases survive Kane's objections. (shrink)

In section 24 of The Antichrist, Nietzsche notes a problem namely “the origin of Christianity.” He offers two propositions toward its solution: the first is that “Christianity can only be understood on the soil where it grew:” and the second is that “the psychological type of the Galilean is still recognizable, but it had to assume a completely degenerate form (simultaneously mutilated and full of alien features) before it came to be used as a redeemer of humanity” (A 24). (...) Significantly this passage suggests that the origins of Christianity rest on a reinterpretation of the type of the redeemer. This paper seeks to clarify the nature of such a modification and to identify some of its key ramifications. After clarifying the type, the paper argues that the type, thus understood, serves as a link between the texts On the Genealogy of Morality and The Antichrist and, as such, reveals the connection between Nietzsche's genealogical methods and the wider project of reevaluation. Though this reading is not the standard interpretive strategy, the paper argues that it is the strategy that Nietzsche himself recommends. (shrink)

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)

This paper discusses some of the ways in which Martin-Löf type theory differs from set theory. The discussion concentrates on conceptual, rather than technical, differences. It revolves around four topics: sets versus types; syntax; functions; and identity. The difference between sets and types is spelt out as the difference between unified pluralities and kinds, or sorts. A detailed comparison is then offered of the syntax of the two languages. Emphasis is placed on the distinction between proposition and judgement, drawn (...) by type theory, but not by set theory. Unlike set theory, type theory treats the notion of function as primitive. It is shown that certain inconveniences pertaining to function application that afflicts the set- theoretical account of functions are thus avoided. Finally, the distinction, drawn in type theory, between judgemental and propositional identity is discussed. It is argued that the criterion of identity for a domain cannot be formulated in terms of propositional identity. It follows that the axiom of extensionality cannot be taken as a statement of the criterion of identity for sets. (shrink)

This paper contains a novel and coherent reading of Weberian ideal type construction, based on recent philosophical approaches to conceptual engineering. This reading makes transparent the dialectics of Weber's approach, resulting in a more nuanced interpretation of his methodological work. It will become apparent that Weber, when introducing his notion of an ideal type, did not merely summarize his views on methodology in the social sciences, but, rather, presented a two-step argument in favor of these views. The reconstruction (...) will directly bear on issues in the methodology of the social sciences. Weber not only presented a methodology that is, at some level of abstraction, strikingly similar to Carnapian explication (the canonical point of reference in the contemporary debate on conceptual engineering). He also diagnosed, in a systematic fashion, types of problems we face when dealing with ordinary and scientific concepts that play a key role in the description of social reality, and he foreshadowed what is today sometimes described as “debunking” projects. From a philosophy of science perspective, I propose Weber's view (on the reconstruction proposed here) as a serious candidate for an adequate theory of concept replacement in the social sciences. (shrink)

‘Type’ in biology is a polysemous term. In a landmark article, Paul Farber (Journal of the History of Biology 9(1): 93–119, 1976) argued that this deceptively plain term had acquired three different meanings in early nineteenth century natural history alone. ‘Type’ was used in relation to three distinct type concepts, each of them associated with a different set of practices. Important as Farber’s analysis has been for the historiography of natural history, his account conceals an important dimension (...) of early nineteenth century ‘type talk.’ Farber’s taxonomy of type concepts passes over the fact that certain uses of ‘type’ began to take on a new meaning in this period. At the closing of the eighteenth century, terms like ‘type specimen,’ ‘type species,’ and ‘type genus’ were universally recognized as referring to typical, model members of their encompassing taxa. But in the course of the nineteenth century, the same terms were co-opted for a different purpose. As part of an effort to drive out nomenclatural synonymy – the confusing state of a taxon being known to different people by different names – these terms started to signify the fixed and potentially atypical name-bearing elements of taxa. A new type concept was born: the nomenclatural type. In this article, I retrace this perplexing nineteenth century shift in meaning of ‘type.’ I uncover the nomenclatural disorder that the new nomenclatural type concept dissolved, and expose the conceptual confusion it left in its tracks. What emerges is an account of how synonymy was suppressed through the coinage of a homonym. (shrink)

The core thesis of anti-luck epistemology is the incompatibility thesis, that is, knowledge is incompatible with veritic epistemic luck. Traditionally, anti-luck epistemologists hold that there are two distinct types of veritic epistemic luck, viz, intervening luck and environmental luck. The former occurs when something luckily intervenes between the subject’s belief and the target fact, which renders the subject’s belief luckily true. The latter can be found in cases where the subject’s belief is luckily true when she is in an unfriendly (...) epistemic environment. This paper purports to show that there is another long-neglected type of veritic epistemic luck—I name it ‘interpretative luck’. It refers to the type of luck occurring when the subject accidentally chooses the correct interpretation of evidence and thus her belief is luckily true. I will demonstrate that no proper reasons can support the incompatibility between interpretative luck and knowledge. Instead, the price for insisting this incompatibility would be unacceptably high. Therefore, the existence of interpretative luck falsifies the incompatibility thesis of anti-luck epistemology. (shrink)

Slurs are derogatory, and theories of slurs aim at explaining their “derogatory force”. This paper draws a distinction between the type derogatory force and the token derogatory force of slurs. To explain the type derogatory force is to explain why a slur is a derogatory word. By contrast, to explain the token derogatory force is to explain why an utterance of a slur is derogatory. This distinction will be defended by examples in which the type and the (...) token derogatory force come apart. Because of the distinction, an adequate theory of slurs must be plausible for both the type and the token derogatory force. However, I will argue that many theories fail to be plausible for both. In particular, Hom’s combinatorial externalism and the conventional implicature theory offer implausible accounts of the token derogatory force, whereas the prohibitionist theory is insufficient to explain the type derogatory force. (shrink)

In this paper I discuss a certain kind of 'type confusion' which involves use of expressions of the wrong grammatical category, as in the string 'runs eats'. It is (nearly) universally accepted that such strings are meaningless. My purpose in this paper is to question this widespread assumption (or as I call it, 'the last dogma'). I discuss a range of putative reasons for accepting the last dogma: in §II, semantic and metaphysical reasons; in §III, logical reasons; and in (...) §IV, syntactic reasons. I argue that none of these reasons is conclusive, and that consequently we should be willing to question this last dogma of type confusions. (shrink)

In this paper we study the relativized Lascar Galois group of a strong type. The group is a quasi-compact connected topological group, and if in addition the underlying theory T is G-compact, then the group is compact. We apply compact group theory to obtain model theoretic results in this note. -/- For example, we use the divisibility of the Lascar group of a strong type to show that, in a simple theory, such types have a certain model theoretic (...) property that we call divisible amalgamation. -/- The main result of this paper is that if c is a finite tuple algebraic over a tuple a, the Lascar group of stp(ac) is abelian, and the underlying theory is G-compact, then the Lascar groups of stp(ac) and of stp(a) are isomorphic. To show this, we prove a purely compact group-theoretic result that any compact connected abelian group is isomorphic to its quotient by every finite subgroup. -/- Several (counter)examples arising in connection with the theoretical development of this note are presented as well. For example, we show that, in the main result above, neither the assumption that the Lascar group of stp(ac) is abelian, nor the assumption of c being finite can be removed. (shrink)

Results of a study investigating the relation between personality traits and ethical-orientation indicate sex is not an good predictor for differences in Machiavellian-, Type A personality- or ethical-orientation. Intelligence is found to be positively associated with Machiavellian- and Type A personality-orientation but negatively associated with ethical-orientation. Machiavellians tend to have Type A personalities, but tend to be less ethically-oriented than Nonmachiavellians. Type A personalities are more ethically-orientated than Type B personalities.

Speaking of Professor Geach's belief that pronouns in natural language function like the bound variables in quantification theory, Gareth Evans, in ‘Pronouns, Quantifiers, and Relative Clauses - I’ says :I want to try to show that there are pronouns with quantifier antecedents that function in a quite different way. Such pronouns typically stand in a different grammatical relation to their antecedents, and; in contrast with bound pronouns, must be assigned a reference, so that their most immediate sentential contexts can always (...) be assigned a truth value. The relevant grammatical relation appears to be Klima's relation of ‘in construction with’. When the pronoun is in construction with its antecedent, as in [‘Some man loves his mother’] and [‘No man is happy when he is in love’] the result is a bound pronoun. (shrink)

Mucopolysaccharidosis type I (MPS I) is a rare lysosomal storage disorder treated with bone marrow transplantation or enzyme replacement therapy with laronidase, a high-cost orphan drug. Laronidase was approved by the US Food and Drug Administration and the European Medicines Agency in 2003 and by the Brazilian National Health Surveillance Agency in 2005. Many Brazilian MPS I patients have been receiving laronidase despite the absence of a governmental policy regulating access to the drug. Epidemiological and treatment data concerning MPS (...) I are scarce. This study aims to present a demographic profile of Brazilian patients with MPS I, describe the routes of access to laronidase in Brazil, and discuss associated ethical issues relating to public funding of orphan drugs. (shrink)

Church’s type theory, aka simple type theory, is a formal logical language which includes classical first-order and propositional logic, but is more expressive in a practical sense. It is used, with some modifications and enhancements, in most modern applications of type theory. It is particularly well suited to the formalization of mathematics and other disciplines and to specifying and verifying hardware and software. It also plays an important role in the study of the formal semantics of natural (...) language. When utilizing it as a meta-logic to semantically embed expressive non-classical logics further topical applications are enabled in artificial intelligence and philosophy. A great wealth of technical knowledge can be expressed very naturally in it. With possible enhancements, Church’s type theory constitutes an excellent formal language for representing the knowledge in automated information systems, sophisticated automated reasoning systems, systems for verifying the correctness of mathematical proofs, and a range of projects involving logic and artificial intelligence. Some examples and further references are given in Sections 1.2.2 and 5 below. Type theories are also called higher-order logics, since they allow quantification not only over individual variables, but also over function, predicate, and even higher order variables. Type theories characteristically assign types to entities, distinguishing, for example, between numbers, sets of numbers, functions from numbers to sets of numbers, and sets of such functions. As illustrated in Section 1.2.2 below, these distinctions allow one to discuss the conceptually rich world of sets and functions without encountering the paradoxes of naive set theory. Church’s type theory is a formulation of type theory that was introduced by Alonzo Church in Church 1940. In certain respects, it is simpler and more general than the type theory introduced by Bertrand Russell in Russell 1908 and Whitehead & Russell 1927a. Since properties and relations can be regarded as functions from entities to truth values, the concept of a function is taken as primitive in Church’s type theory, and the λ-notation which Church introduced in Church 1932 and Church 1941 is incorporated into the formal language. Moreover, quantifiers and description operators are introduced in a way so that additional binding mechanisms can be avoided, λ-notation is reused instead. λ-notation is thus the only binding mechanism employed in Church’s type theory. (shrink)

I propose a version of the act‐type theory of propositions, following Hanks and Soames. According to the theory, propositions are types of act of predication. The content of a sentence is the type of such act performed when that sentence is uttered. A consequence of this theory is that the structure of the content of a sentence will mirror the structure of that sentence. I defend this consequence of the theory from two important objections. I then argue that (...) this theory is well motivated because it can be part of a theory of what is said. (shrink)

Introduction US data reveal a Caesarean rate discrepancy between insured and uninsured patients, with the C-section rate highest among the privately insured. The data have prompted concern that financial incentives associated with insurance status might influence American physicians' decisions to perform Caesarean deliveries. Objective To determine whether differences in medical risk factors account for the apparent Caesarean rate discrepancy between Medicaid and privately insured patients in Michigan, USA. Method A retrospective review was performed of 617 269 live birth deliveries in (...) Michigan hospitals during 2004–8. All live birth records that were able to be linked to their mothers' hospital discharge records were utilised. Diagnosis-related group codes from the hospitalisation records were used to identify Caesarean deliveries. Regression models determined Caesarean probability for the time period under study, adjusted for insurance type, maternal age, race, maternal medical conditions, multiple births, prematurity and birth weight. Results From 2004 to 2008, Caesarean rates were 33% for privately insured patients and 29% for Medicaid patients. The probability of Caesarean delivery was significantly greater for privately insured than Medicaid patients on univariate analysis (OR 1.2, 95% CI 1.19 to 1.22) but not on multivariate analysis (adjusted OR 1.01, 95% CI 0.99 to 1.02). Conclusion No significant disparity was found in the odds of Caesarean delivery between privately insured and Medicaid patients in Michigan after adjusting for other Caesarean risk factors. A positive disparity would have provided de facto evidence that financial incentives play a role in physician decision-making regarding Caesarean delivery. (shrink)

In this article we deal with Glivenko type theorems for intuitionistic modal logics over Prior's MIPC. We examine the problems which appear in proving Glivenko type theorems when passing from the intuitionistic propositional logic Intto MIPC. As a result we obtain two different versions of Glivenko's theorem for logics over MIPC. Since MIPCcan be thought of as a one-variable fragment of the intuitionistic predicate logic Q-Int, one of the versions of Glivenko's theorem for logics over MIPCis closely related (...) to that for intermediate predicate logics obtained by Umezawa [27] and Gabbay [15]. Another one is rather surprising. (shrink)

This paper addresses ethical challenges posed by a robot acting as both a general type of system and a discrete, particular machine. Using the philosophical distinction between “type” and “token,” we locate type-token ambiguity within a larger field of indefinite robotic identity, which can include networked systems or multiple bodies under a single control system. The paper explores three specific areas where the type-token tension might affect human–robot interaction, including how a robot demonstrates the highly personalized (...) recounting of information, how a robot makes moral appeals and justifies its decisions, and how the possible need for replacement of a particular robot shapes its ongoing role. We also consider how a robot might regard itself as a replaceable token of a general robotic type and take extraordinary actions on that basis. For human–robot interaction robotic type-token identity is not an ontological problem that has a single solution, but a range of possible interactions that responsible design must take into account, given how people stand to gain and lose from the shifting identities social robots will present. (shrink)

Lukacs's post-1930 literary criticism reveals a problematic continuity with the theory of totality articulated in History and Class Consciousness (1923). No longer the self-knowledge of a militant proletariat, totality emerges as the contemplative vision of great bourgeois novelists. Shorn of its earlier messianic overtones, the later criticism promises a more labile political theory whose possibilities have already been explored by theorists such as liberation theologians and socialist feminists. This same change, however, coupled with Lukacs's failure to confront its metatheoretical consequences, (...) severs theory and practice and threatens to reduce revolutionary activity to a subjective and strident moralizing. (shrink)

Recent studies in semantics of modal and superintuitionistic predicate logics provided many examples of incompleteness, especially for Kripke semantics. So there is a problem: to find an appropriate possible- world semantics which is equivalent to Kripke semantics at the propositional level and which is strong enough to prove general completeness results. The present paper introduces a new semantics of Kripke metaframes' generalizing some earlier notions. The main innovation is in considering "n"-tuples of individuals as abstract "n"-dimensional vectors', together with some (...) transformations of these vectors. Soundness of the semantics is proved to be equivalent to some non- logical properties of metaframes; and thus we describe the maximal semantics of Kripke- type. (shrink)