Many philosophers still countenance senses or meanings in the broadly Fregean vein. However, it is difficult to posit the existence of senses without positing quite a lot of them, including at least one presenting every entity in existence. I discuss a number of Cantorian paradoxes that seem to result from an overly large metaphysics of senses, and various possible solutions. Certain more deflationary and nontraditional understanding of senses, and to what extent they fare better in solving the problems, are (...) also discussed. In the end, it is concluded that one must divide senses into various ramified-orders in order to avoid antinomy, but that the philosophical justification of such orders is, as yet, still somewhat problematic. (shrink)

It has long been disputed whether Kant's transcendental idealism requires two worlds ? one of appearances and one of things in themselves ? or only one. The one-world view must be wrong if it claims that individual spatio-temporal things can be identified with particular things in themselves, and if it fails to take seriously the doctrine of double affection; versions that insist on one world, without making claims about the identity of individual things, cannot say in what way the world (...) as we know it and the world of things in themselves can be ?the same?. The two-world view must be wrong if it denies Kant's empirical realism, or offers a phenomenalist interpretation of it. On moral grounds Kant ?identifies? each human person with a particular thing in itself, but the relationship here cannot be strict identity; instead its closeness may warrant regarding the two distinct entities as part of a composite whole. Perhaps up to the first edition of the Critique, Kant thought that empirical knowledge required a particular kind of close correspondence between appearances and things in themselves, one that would make it appropriate to speak of composite wholes here also. By the time of the second edition, he saw that there could be no good grounds for thinking that. In this respect something a bit like the one-world theory might make more sense for the first edition than for the second; but in both cases there is room to speak of two worlds as well. Talk of the number of worlds is metaphorical, and both metaphors have their dangers. (shrink)

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain (...) in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

Those inclined to believe in the existence of propositions as traditionally conceived might seek to reduce them to some other type of entity. However, parsimonious propositionalists of this type are confronted with a choice of competing candidates – for example, sets of possible worlds, and various neo-Russellian and neo-Fregean constructions. It is argued that this choice is an arbitrary one, and that it closely resembles the type of problematic choice that, as Benacerraf pointed out, bedevils the attempt to reduce numbers (...) to sets – should the number 2 be identified with the set Ø or with the set Ø, Ø? An “argument from arbitrary identification” is formulated with the conclusion that propositions (and perhaps numbers) cannot be reduced away. Various responses to this argument are considered, but ultimately rejected. The paper concludes that the argument is sound: propositions, at least, are sui generis entities. (shrink)

This paper offers a pragmatist interpretation of Ian Hacking’s version of entity realism, and shows that such an interpretation enables the view to withstand a number of objections. Specifically, the paper shows Hacking’s rejection of a representationalist epistemology, which realist critics unjustifiably attribute to him, and shows his endorsement of a Deweyan pragmatist epistemology instead. If the interpretation is correct, the objections (a) that entity manipulation is theory-laden, (b) that the concept of home truths cannot do the work Hacking (...) envisioned, (c) that entity realism is a form of inference to the best explanation (IBE), (d) that some real entities aren’t manipulable, and (e) that some non-real entities are manipulable, lose much of their force. Objections (a), (b), and (c) rest on a metaepistemological misunderstanding, while objections (d) and (e) are addressed with (pragmatist) clarifications. This paper also offers a novel pragmatist argument for entity realism: the argument from technology. The argument from technology maintains that the reality of the entities that constitute our technologies is a precondition for those technologies’ meaningful use. In this case, entity realism remains a more viable perspective on science than is commonly acknowledged. (shrink)

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain (...) in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

Part of Frege's concern about whether number words are properties of objects was that if they could be construed as such it would lend support to the view that truths of arithmetic were empirical truths. Such concern is ill-founded. Even if number words do apply to objects as predicates, this does not entail that numerical truths would be empirical, any more than the fact that ‘bachelor’ and ‘unmarried’ are predicates of objects entails that their relationship is an empirical (...) one. The account of number words as predicates given here, consequently, should not be taken as supportive of any one particular theory concerning arithmetic truth rather than another.The view of number words that emerges above from the criticism of Frege's arguments is that sentences containing number words can and do say something about objects in a collective and syncategorematic way. That is, they say something about classes of objects, when it is clear what is to count as an object. Whether this view commits us to accepting certain ontological entities, classes of individuals, above and beyond individuals themselves, I am not prepared to say, and at any rate this question falls beyond the intended scope of this essay. To those who would eschew abstract entities, however, it may be noted that the ontological problems that arise are not peculiar to this view; they seem no more or less severe than those that arise in connection with other collective predicate statements, as, for example, “Blue whales are becoming extinct.”The view presented here also does not pretend to be a fatal criticism of the logicist program. Taking our cue from the above noted fact that syncategorematic predicates share in a common ‘partial’ abstract sense, it seems reasonable to say that it is just the set of such partial senses of number words, and the relationships that hold between such senses, that the logicist and the pure number theorist investigate. (shrink)

A central question for ontology is the question of whether numbers really exist. But it seems easy to answer this question in the affirmative. The truth of a sentence like ‘Seven students came to the party’ can be established simply by looking around at the party and counting students. A trivial paraphrase of is ‘The number of students who came to the party is seven’. But appears to entail the existence of a number, and so it seems that (...) we must conclude that numbers exist. This is sometimes called the puzzle of how we can get something from nothing. Most extant attempts to solve the puzzle take it for granted that is ontologically innocent, and focus their attention either on or on the transition from to. We argue that both attempts go wrong at the first step: the assumption that is ontologically innocent is undermined by a highly attractive and independently well-motivated degree-based account of number word constructions. Thus the degree-based account provides a straightforward linguistic resolution of the puzzle of how we can get something from nothing. But the paper also has a second aim. The semantics we present treats ‘seven’ as a referring expression that refers to a degree of a certain sort. But what are degrees? We consider various anti-platonist proposals that seek to account for degrees in terms of relations between concrete entities, and argue that they are incompatible with the Universal Density of Measurement hypothesis of Fox and Hackl. While the UDM cannot yet claim to be the consensus view among degree-based semanticists, our aim is to use it to illustrate how views about the nature of degrees can be evaluated by considering the properties degrees must have if they are to play the explanatory roles they are called upon to play in linguistics. In the present state of development of degree-based semantics there are difficult open questions about what these properties are. These questions need to be addressed if we are to develop a clear picture of what natural language semantics has to contribute to ontology and metaphysics. (shrink)

When seeing a jaguar, we can see all the spots on its mantle without seeing a determinate number, N, of spots on the mantle. How is this visual phenomenon possible? Philosophers have tried to provide a reliable answer to this question, by recruiting evidence from vision science about the way attention works. Here we push this idea forward, by suggesting that an alternative and less complex solution, with respect to the one proposed in the literature, is possible. In particular, (...) we argue that the puzzling visual phenomenon of 'seeing entities without seeing N-entities' strictly depends on the specific number of entities we are simultaneously attending to: a problematic scenario concerning this visual process arises only when the number of entities in the visual field exceeds a specific quantity. This depends, as we argue, on the fact that the nature of our visual content is modulated, in this perceptual scenario, by the limited way we can exercise visual attention on the properties of the objects of our perception. Differently from other accounts, our proposal allows us to properly define when and why such a problem arises, and explains why such a situation has traditionally been found to be so puzzling. Our idea is also well motivated by experimental results that so far have not been taken into account in the debate. (shrink)

This study explores the relevance of corporate social responsibility (CSR) as an element of the corporate identity of Spanish financial institutions. Specifically, it aims to analyze the CSR actions developed by financial entities through the analysis of all the available information disclosed in their websites. A content analysis applied to 82 banking institutions, followed by different quantitative analyses, reveals the multidimensionality of CSR. Findings show that, while the number of entities institutionalizing CSR values as core elements of (...) their identities is still reduced, most organizations disclose CSR information to construct communicated identities and legitimate behaviours. Besides, these dimensions are classified depending on the stakeholder the action is aimed to, and that entities favour the generation of distinctive identities through the implementation and communication of more visible CSR actions like those involving their customers or the community. In any case, results indicate that organizations with certain characteristics are more likely to construct distinctive identities through CSR activities and to establish ethical and social values within their corporate statements and cultures. (shrink)

This article is an attempt to: outline the essential elements in Alfred North Whitehead's theory of “actual entities“; indicate the erroneous nature of a number of widely held interpretations and criticisms of his speculative scheme; state criticisms which seem legitimately applicable to Whitehead's cosmology.Whitehead's theory of actual entities can only be understood if one continually bears in mind Whitehead's purpose in formulating this theory and the method which he uses in his project.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain (...) in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

A business entity established and owned by a village is designed to support the community in meeting their daily needs, enhancing their knowledge, and providing business and employment opportunities. This requires an institution capable of managing these activities effectively. The institution in question must be able to generate profits because the potential within a village is intended to promote the welfare of the local community. This study examines village institutions functioning as economic entities, commonly known as Village-Owned Enterprises (BUMDes). (...) The study also explores the legal status of these entities and their role in implementing programs aimed at building a prosperous society. The research findings confirm that BUMDes, as regulated by Government Regulation Number 11 of 2021 and the Regulation of the Minister of Villages, Development of Disadvantaged Regions, and Transmigration Number 3 of 2021, have legal entity status. This means that these institutions are recognized and regulated by law, allowing them to engage in business activities legally, while also being responsible for adhering to applicable laws and regulations. The village government wholly owns these business institutions, and their mission is to manage and develop the village's economic potential. Additionally, BUMDes are intended to create jobs, enabling village communities to meet their basic needs, increase their income, and advance the local economy. The legal framework governing these institutions must be a focus for stakeholders to ensure the creation of legal justice, certainty, and benefits. (shrink)

According to a tradition stemming from Quine and Putnam, we have the same broadly inductive reason for believing in numbers as we have for believing in electrons: certain theories that entail that there are numbers are better, qua explanations of our evidence, than any theories that do not. This paper investigates how modal theories of the form ‘Possibly, the concrete world is just as it in fact is and T’ and ‘Necessarily, if standard mathematics is true and the concrete world (...) is just as it in fact is, then T’ bear on this claim. It concludes that, while analogies with theories that attempt to eliminate unobservable concrete entities provide good reason to regard theories of the former sort as explanatorily bad, this reason does not apply to theories of the latter sort. (shrink)

The Chemical Entities of Biological Interest (ChEBI) ontology is an important reference for applications dealing with chemical annotations and data mining. Modeling errors and inconsistencies in th...

The article explores the genesis and nature of number from the perspective of psychologism, an epistemological trend. It formulates a series of questions aimed at reexamining our understanding of number: What is the mode of existence of number? In what forms or formations does number exist, and what reality serves as its natural “carrier”? Is it justified, following realism, to regard number as an entity independent of human beings? What reasoning challenges the human-independent status of (...) number – a stance embraced by many successful mathematicians – given that this status overlooks key questions about the nature of number? To what extent can it be argued that the phenomenon of number is shaped, among other factors, by the mental and bodily organization of humans, as well as by the cultural characteristics of society? The article draws on recent research in cultural and social neuroscience, which supports the relevance of psychologism as a framework for addressing many questions in the philosophy of mathematics. It also engages with Ian Hacking’s idea of “making up reality” to further illuminate the discussion. Ultimately, the nature and origin of number are defined as abstract mental constructions arising from human cognitive activity. These constructions emerge and are effectively utilized through the interaction and representational procedures of diverse elements and traits within a given cognitive system. (shrink)

The base units of the SI include six units of continuous quantities and the mole, which is defined as proportional to the number of specified elementary entities in a sample. The existence of the mole as a unit has prompted comment in Metrologia that units of all enumerable entities should be defined though not listed as base units. In a similar vein, the BIPM defines numbers of entities as quantities of dimension one, although without admitting these (...) entities as base units. However, there is a basic ontological distinction between continuous quantities and enumerable aggregates. The distinction is the basis of the difference between real and natural numbers. This paper clarifies the nature of the distinction: (i) in terms of a set of measurement axioms stated by Hölder; and (ii) using the formalism known in metrology as quantity calculus. We argue that a clear and unambiguous scientific distinction should be made between measurement and enumeration. We examine confusion in metrological definitions and nomenclature concerning this distinction, and discuss the implications of this distinction for ontology and epistemology in all scientific disciplines. (shrink)

The field of numerical cognition provides a fairly clear picture of the processes through which we learn basic arithmetical facts. This scientific picture, however, is rarely taken as providing a response to a much‐debated philosophical question, namely, the question of how we obtain number knowledge, since numbers are usually thought to be abstract entities located outside of space and time. In this paper, I take the scientific evidence on how we learn arithmetic as providing a response to the (...) philosophical question of how we obtain number knowledge. I reject the view that numbers are abstract entities located outside of space and time and, alternatively, derive from the scientific evidence a novel account of the nature of numbers. In this account, numbers are reifications of the counting procedure and arithmetic statements are seen as describing the functioning of counting and calculation techniques. (shrink)

ABSTRACT Michael Rescorla has argued that it makes sense to compute directly with numbers, and he faulted Turing for not giving an analysis of number-theoretic computability. However, in line with a later paper of his, it only makes sense to compute directly with syntactic entities, such as strings on a given alphabet. Computing with numbers goes via notation. This raises broader issues involving de re propositional attitudes towards numbers and other non-syntactic abstract entities.

A common view is that natural language treats numbers as abstract objects, with expressions like the number of planets, eight, as well as the number eight acting as referential terms referring to numbers. In this paper I will argue that this view about reference to numbers in natural language is fundamentally mistaken. A more thorough look at natural language reveals a very different view of the ontological status of natural numbers. On this view, numbers are not primarily treated (...) abstract objects, but rather 'aspects' of pluralities of ordinary objects, namely number tropes, a view that in fact appears to have been the Aristotelian view of numbers. Natural language moreover provides support for another view of the ontological status of numbers, on which natural numbers do not act as entities, but rather have the status of plural properties, the meaning of numerals when acting like adjectives. This view matches contemporary approaches in the philosophy of mathematics of what Dummett called the Adjectival Strategy, the view on which number terms in arithmetical sentences are not terms referring to numbers, but rather make contributions to generalizations about ordinary (and possible) objects. It is only with complex expressions somewhat at the periphery of language such as the number eight that reference to pure numbers is permitted. (shrink)

Because biologization of psychiatric constructs does not involve derivation of laws, or reduce the number of entities involved, the traditional term of ‘reduction’ should be replaced. This paper describes biologization in terms of redefinition, which involves changing the definition of terms sharing the same extension. Redefinition obtains through triangulation and calibration, that is, respectively, detection of an object from two different spots, and tweaking parameters of detection in order to optimize the picture. The unity of the different views (...) of the same object does not occur through derivation from one of them, as reduction suggests, nor does it obtain through mechanistic unity or the goal of explaining one mechanism, as the phrase ‘mosaic unity’ suggests. Instead, it depends on finding a specific angle of observation, from which linguistic consistency matches sound localization in the brain, so that all observations make sense together, just as an anamorphic picture makes clear sense only when observed from the right spot. (shrink)

The fundamental idea of a Neoaristotelian inherence ontology of mathematical entities parallels that of an Aristotelian approach to the ontology of universals. It is proposed that mathematical objects are nominalizations especially of dimensional and related structural properties that inhere as formal species and hence as secondary substances of Aristotelian primary substances in the actual world of existent physical spatiotemporal entities. The approach makes it straightforward to understand the distinction between pure and applied mathematics, and the otherwise enigmatic success (...) of applied mathematics in the natural sciences. It also raises an interesting set of challenges for conventional mathematics, and in particular for the ontic status of infinity, infinite sets and series, infinitesimals, and transfinite cardinalities. The final arbiter of all such questions on an Aristotelian inherentist account of the nature of mathematical entities are the requirements of practicing scientists for infinitary versus strictly finite mathematics in describing, explaining, predicting and retrodicting physical spatiotemporal phenomena. Following Quine, we classify all mathematics that falls outside of this sphere of applied scientific need as belonging to pure, and, with no prejudice or downplaying of its importance, ‘recreational’, mathematics. We consider a number of important problems in the philosophy of mathematics, and indicate how a Neoaristotelian inherence metaphysics of mathematical entities provides a plausible answer to Benacerraf’s metaphilosophical dilemma, pitting the semantics of mathematical truth conditions against the epistemic possibilities for justifying an abstract realist ontology of mathematical entities and truth conditions. (shrink)

According to retail realism, we ought to abandon wholesale arguments, which purport to demonstrate realism or anti-realism about theoretical entities in general, and embrace retail arguments, which purport to demonstrate realism or anti-realism about specific kinds of theoretical entities. My aim is to argue that there is a further wholesale element that retail realism must avoid in order to qualify as a viable position. In order to do so, I distinguish between what I call wholesale and retail treatments (...) of theoretical entities. Wholesale treatments individuate theoretical entities in such a way that the same entity can appear in distinct theories. In that case, realism about a given entity implies realism about that entity as it appears in a number of distinct theories. Retail treatments, on the other hand, individuate theoretical entities more finely, so that distinct theories actually involve distinct entities. In that case, realism about one entity needn't imply realism about a similar, but distinct, entity. I argue that retail realists ought to reject wholesale treatments in favor of retail treatments, and I do so by examining a case from the history of chemistry involving the hypothetical constituent of hydrochloric acid known as the muriatic radical. I argue that there are distinct muriatic radicals in distinct theories, and that we ought to be realists about some, but not others. Hence, in this case, a retail treatment is preferable to a wholesale one, and I conclude by discussing why the combination of retail realism and retail treatments constitutes an attractive position within the scientific realism debate more generally. (shrink)

We discuss two named-entity recognition models which use characters and character n-grams either exclusively or as an important part of their data representation. The first model is a character-level HMM with minimal context information, and the second model is a maximum-entropy conditional markov model with substantially richer context features. Our best model achieves an overall F1 of 86.07% on the English test data (92.31% on the development data). This number represents a 25% error reduction over the same model without (...) word-internal (substring) features. (shrink)

This article sets out to analyse some of the most basic elements of our number concept - of our awareness of the one and the many in their coherence with multiplicity, succession and equinumerosity. On the basis of the definition given by Cantor and the set theoretical definition of cardinal numbers and ordinal numbers provided by Ebbinghaus, a critical appraisal is given of Frege’s objection that abstraction and noticing (or disregarding) differences between entities do not produce the concept (...) of number. By introducing the notion of subject functions, an account is advanced of the (nominalistic) reason why Frege accepted physical, kinematic and spatial properties (subject functions) of entities, but denied the ontic status of their quantitative properties (their quantitative subject function). With reference to intuitionistic mathematics (Brouwer, Weyl, Troelstra, Kreisel, Van Dalen) the primitive meaning of succession is acknowledged and connected to an analysis of what is entailed in the term ‘Gleichzahligkeit’ (‘equinumerosity’). This expression enables an analysis of the connections between ordinality and cardinality on the one hand and succession and wholeness (totality) on the other. The conceptions of mathematicians such as Frege, Cantor, Dedekind, Zermelo, Brouwer, Skolem, Fraenkel, Von Neumann, Hilbert, Bernays and Weyl, as well as the views of the philosopher Cassirer, are discussed in order to arrive at an assessment of the relation between ordinality and cardinality (also taking into account the relation between logic and arithmetic) - and on the basis of this evaluation, attention is briefly given to the definition of an ordered pair in axiomatic set theory (with reference to the set theory of Zermelo-Fraenkel) and to the defmition of an ordered pair advanced by Wiener and Kuratowski. (shrink)

Centering Theory (CT) as articulated by Grosz et al. (1995) is a theory intended to model some of the factors that influence local coherence in a discourse. The idea is that at any one time there are a number of entities that are at the center of attention. Each utterance n that makes up a discourse potentially has two sorts of discourse ‘centers’, an ordered set of forward-looking centers, Cf(uttn), that provide potential links to upcoming utterances, and a (...) single backward-looking center, Cb(uttn), that links back to the previous utterance, in the sense that it is identical to one of the members of the set of forward-looking centers of the previous utterance. Roughly, one can think of Cb(uttn) as the current topic of the conversation. The members of the set Cf(uttn) on the other hand are the entities mentioned in the utterance and which are candidates to become the next topic of conversation. The members of Cf(uttn) are ranked in order of their salience. The most highly ranked member of Cf(uttn) is the preferred center, Cp(uttn), and ideally it will become the backward-looking center of the next utterance, Cb(uttn+1). When Cb(uttn) is the most highly ranked member of Cf(uttn), this indicates that it will continue to be the topic of conversation in the next utterance. If this does indeed happen, we have what is known in CT as a CONTINUE transition. When some entity other than Cb(uttn) is the most highly ranked member of Cf(uttn), an upcoming topic shift is signaled. This situation is known in CT as a RETAIN. A topic shift following a RETAIN will be a SMOOTH SHIFT. If the topic shifts to an entity that is neither the preferred center of the current nor of the previous utterance, then the shift will be a ROUGH.. (shrink)

There has been considerable discussion in the literature of one kind of identity problem that mathematical structuralism faces: the automorphism problem, in which the structure is unable to individuate the mathematical entities in its domain. Shapiro (Philos Math 16(3):285–309, 2008) has partly responded to these concerns. But I argue here that the theory faces an even more serious kind of identity problem, which the theory can’t overcome staying within its remit. I give two examples to make the point.

How can we acquire a grasp of cardinal numbers, even the first very small positive cardinal numbers, given that they are abstract mathematical entities? That problem of cognitive access is the main focus of this paper. All the major rival views about the nature and existence of cardinal numbers face difficulties; and the view most consonant with our normal thought and talk about numbers, the view that cardinal numbers are sizes of sets, runs into the cognitive access problem. The (...) source of the problem is the plausible assumption that cognitive access to something requires causal contact with it. It is argued that this assumption is in fact wrong, and that in this and similar cases we should accept that a certain recognise-and-distinguish capacity is sufficient for cognitive access. We can then go on to solve the cognitive access problem, and thereby support the set-size view of cardinal numbers, by paying attention to empirical findings about basic number abilities. To this end some selected studies of infants, pre-school children and a trained chimpanzee are briefly discussed. (shrink)

An entity x is said to be generically dependent on a type F if x cannot exist without at least one entity of type F existing. In this paper several varieties of generic dependence are distinguished, differing in the nature of the relationship between an entity and the instances of a type on which it generically depends, and in the light of this, criteria of identity for generically dependent entities are investigated. These considerations are then illustrated in detail in (...) a series of three case studies, covering shapes, linguistic entities such as letters, words and sentences, and collectives. Each case study examines how far the entities involved have robust identity criteria, and to the extent that they do not it is questioned whether they can be regarded as bona fide examples of generic dependent entities. Finally, in the light of this, a number of possible accounts that may be given of the ontological status of such entities are considered. (shrink)

Think of a number, any number, or properties like fragility and humanity. These and other abstract entities are radically different from concrete entities like electrons and elbows. While concrete entities are located in space and time, have causes and effects, and are known through empirical means, abstract entities like meanings and possibilities are remarkably different. They seem to be immutable and imperceptible and to exist "outside" of space and time. This book provides a comprehensive (...) critical assessment of the problems raised by abstract entities and the debates about existence, truth, and knowledge that surround them. It sets out the key issues that inform the metaphysical disagreement between platonists who accept abstract entities and nominalists who deny abstract entities exist. Beginning with the essentials of the platonist–nominalist debate, it explores the key arguments and issues informing the contemporary debate over abstract reality: arguments for platonism and their connections to semantics, science, and metaphysical explanation the abstract–concrete distinction and views about the nature of abstract reality epistemological puzzles surrounding our knowledge of mathematical entities and other abstract entities. arguments for nominalism premised upon concerns about paradox, parsimony, infinite regresses, underdetermination, and causal isolation nominalist options that seek to dispense with abstract entities. Including chapter summaries, annotated further reading, and a glossary, _Entities_ is essential reading for anyone seeking a clear and authoritative introduction to the problems raised by abstract entities. (shrink)

This paper critically discusses recent objections that have been raised against the contextual understanding of fundamental physical objects advocated by non-eliminative ontic structural realism. One of these recent objections claims that such a purely relational understanding of objects cannot account for there being a determinate number of them. A more general objection concerns a well-known circularity threat: relations presuppose the objects they relate and so cannot account for them. A similar circularity objection has also been raised within the framework (...) of the weak discernibility claims made in the last few years about quantum particles. We argue that these objections rely either on mere metaphysical prejudice or on confusing the logico-mathematical formalism within which a physical theory is formulated with the physical theory itself. Furthermore, we defend the motivations for taking numerical diversity as a primitive fact in this context. (shrink)

Entity alignment is the task of integrating heterogeneous knowledge among different knowledge graphs (KGs). KG is a popular way of storing facts about real-world entities. Unfortunately, a very limited number of the entities stored in different KGs are aligned. This paper presents an embedding-based entity alignment method that finds entity alignment by measuring the similarities between entity embeddings. Existing methods mainly focus on the relational structures and attributes information for the alignment process. Such methods fail while the (...) entities have a fewer number of attributes or when the relational structure could not capture the meaningful representation of the entities. To address this problem, we propose EASAE, an entity alignment method using summary and attribute embeddings. We exploit the entity summary information available in KGs for entities’ summary embedding. To learn the semantics of the entity summary, we employ bidirectional encoder representations from transformers (BERT). Our model learns the representations of entities by using relational triples, attribute triples and summary as well. We perform experiments on real-world datasets, and the results indicate that the proposed approach outperformed the state-of-the-art models for entity alignment. (shrink)

We introduce an explicit definition for “hidden correlations” on individual entities in a compound system: when one individual entity is measured, this induces a well-defined transition of the “proper state” of the other individual entities. We prove that every compound quantum system described in the tensor product of a finite number of Hilbert spaces can be uniquely represented as a collection of individual entities between which there exist such hidden correlations. We investigate the significance of these (...) hidden correlation representations within Aerts' creation-discovery approach and in particular their compatibility with the hidden measurement formalism. This leads us to the introduction of the notions of “soft” and “hard” “acts of creation” and to the observation that our approach can be seen as a theory of individuals when it is compared to the standard quantum theory. (shrink)

The asymptotic limit theorems of information and control theories permit exploration of a surprising number of temperature-like measures and symmetry-breaking dynamics associated with cognition. Each of several markedly different perspectives produces a distinct temperature-analog, capturing a rich and highly-punctuated behavioral landscape across the complex, hierarchical cognitive phenomena that characterize life at every scale and level of organization. Theories of cognition may be confronted by canonical conundrums similar to those plaguing the study of consciousness and its regulation. In short, there (...) may be a spectrum of interacting cognitive ‘temperatures’ for organisms, social structures, institutions, information processing machines, and their composite entities, that varies across different systems, and between similar systems having undergone different individual developmental trajectories. The complexities of cognitive failure—leading to a vast array of pathologies—may be far stranger than generally recognized. (shrink)

Describes and evaluates a number of existing criticisms of the formal theory of rationality and subjective expected utility theory. The author argues that rationality is not a behavioural entity, but rather has to do with the relation between an agent's preferences and his or her behaviour.

In a forthcoming paper in this journal, entitled “Bad company objection to Joongol Kim’s adverbial theory of numbers”, Namjoong Kim presents an ingenious Russell-style paradox based on an analogue of Kim’s definition of the number 1, and argues that Kim’s theory needs to provide a criterion of demarcation between acceptable and unacceptable definitions of adverbial entities. This paper addresses this ‘bad company’ objection and some other related issues concerning Kim’s adverbial theory by clarifying the purposes and uses of (...) the formal framework of the theory. (shrink)

Some realists claim that theoretical entities like numbers and electrons are indispensable for describing the empirical world. Motivated by the meta-ontology of Quine, I take this claim to imply that, for some first-order theory T and formula δ(x) such that T ⊢ ∃xδ ∧ ∃x¬δ, where δ(x) is intended to apply to all and only empirical entities, there is no first-order theory T′ such that (a) T and T′ describe the δ:s in the same way, (b) T′ ⊢ (...) ∀xδ, and (c) T′ is at least as attractive as T in terms of other theoretical virtues. In an attempt to refute the realist claim, I try to solve the general problem of nominalizing T (with respect to δ), namely to find a theory T′ satisfying conditions (a)–(c) under various precisifications thereof. In particular, I note that condition (a) can be understood either in terms of syntactic or semantic equivalence, where the latter is strictly stronger than the former. The results are somewhat mixed. On the positive side, even under the stronger precisification of (a), I establish that (1) if the vocabulary of T is finite, a nominalizing theory can always be found that is recursive if T is, and (2) if T postulates infinitely many δ:s, a nominalizing theory can always be found that is no more computationally complex than T. On the negative side, even under the weaker precisification of (a), I establish that (3) certain finite theories cannot be nominalized by a finite theory. (shrink)

In this paper, I address a topic that has been mostly neglected in Leibniz scholarship: Leibniz’s conception of number. I argue that Leibniz thinks of numbers as a certain kind of relation, and that as such, numbers have a privileged place in his metaphysical system as entities that express a certain kind of possibility. Establishing the relational view requires reconciling two seemingly inconsistent definitions of number in Leibniz’s corpus; establishing where numbers fit in Leibniz’s ontology requires confronting (...) a challenge from the well-known nominalist reading of Leibniz most forcefully articulated in Mates. While my main focus is limited to the positive integers, I also argue that Leibniz intends to subsume them under a more general conception of number. (shrink)

The number of positions identified with structural realism in philosophical debates about scientific knowledge has grown significantly in the past decade, particularly with respect to the metaphysical or ‘ontic’ approach (OSR). In recent years, several advocates of OSR have proposed a novel understanding of it in order to side-step a serious challenge faced by its original formulation, eliminative OSR. I examine the conceptual basis of the new, noneliminative view, and conclude that it too faces a serious challenge, resulting in (...) a dilemma for ontic structuralists regarding the ontological status of objects and properties, and the relative “ontological priority” of these entities with respect to the relations in which they stand. (shrink)

The concept of individuality in quantum mechanics shows radical differences from the concept of individuality in classical physics, as E. Schrödinger pointed out in the early steps of the theory. Regarding this fact, some authors suggested that quantum mechanics does not possess its own language, and therefore, quantum indistinguishability is not incorporated in the theory from the beginning. Nevertheless, it is possible to represent the idea of quantum indistinguishability with a first-order language using quasiset theory (Q). In this work, we (...) show that Q cannot capture one of the most important features of quantum non-individuality, which is the fact that there are quantum systems for which particle number is not well defined. An axiomatic variant of Q, in which quasicardinal is not a primitive concept (for a kind of quasisets called finite quasisets), is also given. This result encourages the searching of theories in which the quasicardinal, being a secondary concept, stands undefined for some quasisets, besides showing explicitly that in a set theory about collections of truly indistinguishable entities, the quasicardinal needs not necessarily be a primitive concept. (shrink)

Many have argued that Plato’s intermediates are not independent entities. Rather, they exemplify the incapacity of discursive thought to cognizing Forms. But just what does this incapacity consist in? Any successful answer will require going beyond the intermediates themselves to another aspect of Plato’s mathematical thought - his attribution of a quasi-numerical structure to Forms. For our purposes, the most penetrating account of eidetic numbers is Jacob Klein’s, who saw clearly that eidetic numbers are part of Plato’s inquiry into (...) the ontological basis for all counting: the existence of a plurality of formal elements, distinct yet combinable into internally articulate unities. However, Klein’s study of the Sophist reveals such articulate unities as imperfectly countable and therefore opaque to διάνοια. And only this opacity, I argue, successfully explains the relationship of intermediates to Forms. (shrink)

The word ‘situation’ is met quite often not only in everyday life but also in legal literature. It describes the interrelations among the society, officials, public administration entities, institutions, states, etc. Frequently it is a characterization of certain controversial phenomena. In criminal justice, however, this word carries a special practical and applied meaning and requires constant in-depth analysis not only of the etymology of ‘a situation’ but also of its legal theoretic meaning, purpose, function and practical application. In the (...) present article, the authors examine the criminalistics situation—one of the most significant categories of the theory of criminalistics and crime investigation techniques. The article explores a number of concepts such as ‘a criminal situation’, ‘a criminalistics situation’, ‘a crime situation’ and ‘a crime investigation situation’ as well as their content, classification and interrelations. The investigation of criminal acts encounters criminal law, criminological and criminalistics situations. Yet, all of them are linked by the fact that they represent particular situations which can conditionally be called ‘criminal situations’. After a proper analysis and classification of the situations of criminal acts, it is possible to determine the strategic and tactical characteristics of their investigation situations, forecast their course and a likely outcome. (shrink)

In recent decades, there has been widespread debate in the human and social sciences regarding the compatibility and the relative merits of quantitative and qualitative approaches in research. In psychiatry, depending on disciplines and traditions, objects of study can be represented either in words or using two types of mathematization. In the latter case, the use of mathematics in psychiatry is most often only local, as opposed to global as in the case of classical mechanics. Relationships between these objects of (...) study can in turn be explored in three different ways: 1/ by a hermeneutic process, 2/ using statistics, the most frequent method in psychiatric research today, 3/ using equations, i.e. using mathematical relationships that are formal and deterministic. The 3 ways of representing entities (with language, locally with mathematics or globally with mathematics) and the 3 ways of expressing the relationships between entities (using hermeneutics, statistics or equations) can be combined in a cross-tabulation, and nearly all nine combinations can be described using examples. A typology of this nature may be useful in assessing which epistemological perspectives are currently dominant in a constantly evolving field such as psychiatry, and which other perspectives still need to be developed. It also contributes to undermining the overly simplistic and counterproductive beliefs that accompany the assumption of a Manichean “quantitative/qualitative” dichotomy. Systematic examination of this set of typologies could be useful in indicating new directions for future research beyond the quantitative/qualitative divide. (shrink)

The paper presents a number of empirical arguments for the perceptual view of speech comprehension. It then argues that a particular version of phenomenal dogmatism can confer immediate justification upon belief. In combination, these two views can bypass Davidsonian skepticism toward knowledge of meanings. The perceptual view alone, however, can bypass a variation on the Davidsonian argument. One reason Davidson thought meanings were not truly graspable was that he believed meanings were private (unlike behavior). But if the perceptual view (...) of speech comprehension is correct, then meanings (or at least conveyed meanings) are public objects like other perceivable entities. Hence, there is no particular problem of language comprehension, even if meanings originate in “private” mental states. (shrink)

In this article I respond to Heathcote’s “On the Exhaustion of Mathematical Entities by Structures”. I show that his ontic exhaustion issue is not a problem for ante rem structuralists. First, I show that it is unlikely that mathematical objects can occur across structures. Second, I show that the properties that Heathcote suggests are underdetermined by structuralism are not so underdetermined. Finally, I suggest that even if Heathcote’s ontic exhaustion issue if thought of as a problem of reference, the (...) structuralist has a readily available solution. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Beyond Revisionism:The Bicentennial of Independence, the Early Republican Experience, and Intellectual History in Latin AmericaElías José PaltiLatin America's Revolution of Independence was an event of world-historical importance. Citizens of different regions simultaneously created new nation states and established republican systems of government. This occurred at a time when the very meaning of the notions of "nation" and "republic" remained ill-defined. In such a context, a number of debates (...) naturally emerged regarding the tenets of modern politics, and the kind of dilemmas and problems contained therein.Yet the assessment of the historical relevance of these disputes has been precluded by the teleological assumptions which have informed traditional approaches in the history of ideas. These assumptions have led historians to interpret these disputes as mere expressions of local prejudices that prevented the correct understanding of the true meaning of the modern liberal concept of representative democracy. According to this traditional view, the concerns of Latin American commentators were seen as "deviations" from the rational path of conceptual development and understanding. It was necessary to undermine this traditional teleological prejudice before the debates around these notions produced in Latin America in the nineteenth century could reveal their historical significance and become matters for systematic analysis. The rise of a "new intellectual history," insofar as it has [End Page 593] questioned the assumed rationality and logical consistency of the putative models and disclosed the contingent nature of their foundations, has opened the door to an entirely new universe of problems and issues for scholarly research in the field of Latin American politico-intellectual history.The great wave of new studies on the crisis of the Spanish and Portuguese empires and the emergence of new national states, triggered by the approach of the Bicentennial of Independence, has been greatly influenced by this new set of questions.1 Historians from different countries in Latin America have revisited that fundamental event, and have sought to revise established perspectives in the field. This has made room for the development of a self-defined "revisionist" position. However, what is to be revised has not always been clear.The revisionists seek to dislocate an epic narrative of independence as the epiphany of long-lasting struggles of oppressed nations to recover their rights to self-determination.2 They argue that the teleological, nationalistic biases of traditional approaches led their authors to see as already present at the point of departure an entity (the nation) which actually could be perceived only at the point of arrival. If understood in this way, however, the revisionists' contributions are hardly innovative. In the decade of the 1960s, a series of studies, propelled by the spread in Latin America of Marxist thought and social history, as well as by the increasing presence of American and European historians in the field, had already destabilized Manichean emplotments of the Revolution of Independence as a struggle between liberty and oppression.3 These studies introduced a number of nuances that questioned the objective basis of the states that emerged from the rupture of colonial ties. Instead, they demonstrated that the new states were the result of the contingent process of formation rather than its premise. [End Page 594] Yet it is not here that the profound transformation of the discipline has occurred. Revisionists do concentrate their criticism on the contents of nationalistic narratives, but leave untouched the theoretical premises on which these narratives rest. They fail to penetrate and undermine the sets of antinomies on which those teleological perspectives are grounded: enlightenment / romanticism; rationalism / nationalism; "liberty of the Modern" / "liberty of Ancient;" modernity / tradition; individualism / organicism, etc. In the following pages I will trace the origins of revisionism in Latin American, its contributions to the field of politico-intellectual history, and the kind of problems that it raises in turn.The Tradition of History of "Ideas" in Latin AmericaMany scholars consider Charles Hale to be the key figure in the emergence of the revisionist critique. As Fernando Escalante Gonzalbo remarks, for the case of Mexico (which has served as the exemplary case for the entire region): "Up to the moment Charles Hale came to intervene, we could recount to ourselves a delicious... (shrink)

A number of authors argue that while species are evolutionary units, individuals and real entities, higher taxa are not. I argue that drawing the divide between species and higher taxa along such lines has not been successful. Common conceptions of evolutionary units either include or exclude both types of taxa. Most species, like all higher taxa, are not individuals, but historical entities. Furthermore, higher taxa are neither more nor less real than species. None of this implies that (...) there is no distinction between species and higher taxa; the point is that such a distinction is more subtle than many authors have claimed. (shrink)

Nothing, one day, seemed more imperative to me than the project of composing a book whose fiction would be constructed not as the representation of some preexistent entity, real or imaginary, but rather on the basis of certain specific mechanisms of generation and selection. The principle of selection may be called overdetermination. It requires that every element in the text have at least two justifications. In this perspective, each element is invested with a coefficient of overdetermination. If there is a (...) choice to be made between two overdetermined elements, the one with the highest coefficient of overdetermination will always be chosen. This principle, as we might expect, was not elected at random: it corresponds to any text construed as nonlinear. Take, for example, the simplest element, with a coefficient of two. A double relation connects it with the text: the one due to its place in the written line , and the one linking it with some other element in the text . By operating at a maximum level of multiple determinations, the text is elaborated by means of a maximum number of transversal relations, in a field diametrically opposed to the realm of the linear. Jean Ricardou is equally well known for his fiction, including L'Observatoire de Cannes , La Prise de Constantinople , Les Lieux-dits , and Les Révolutions Minuscules , and his criticism, including Problèmes du Nouveau Roman , Pour une Theorie du Nouveau Roman , and Le Nouveau Roman , LE PARADIGME d' Albert Ayme , and a collection of essays, Nouveaux Problèmes du Roman. His "Composition Discomposed" appeared in the Autumn 1976 issue of Critical Inquiry. Erica Freiberg regularly translates Jean Ricardou's works. She holds degrees in French and Italian, philosophy and modern literature from the University of Paris and the University of Geneva. (shrink)

In the graphical representation of ontologies, it is customary to use graph theory as the representational background. We claim here that the standard graph-based approach has a number of limitations. We focus here on a problem in the graph-based representation of ontologies in complex domains such as biomedical, engineering and manufacturing: lack of mereotopological representation. Based on such limitation, we proposed a diagrammatic way to represent an entity’s structure and various forms of mereotopological relationships between the entities.

An objection is offered to the Frege-Russell definition, which identifies the number 1 with the set of all unit sets. It is argued here that the identity conditions for sets require that if any member of a set had not existed, the set itself would not have. Therefore, had any object whatever not existed, the unit set containing it would not have either, and thus the set with which the definition identifies 1 would not have. But then, 1 either (...) would not have existed or would have been a different entity than it is, and it is argued that neither alternative is acceptable. (shrink)