At the beginning of the pandemic, many music ensembles had to stop their activities due to the confinement. While some found creative ways to start making music again with the help of technologies, the transition from “real” rehearsals to “online” rehearsals was challenging, especially among older amateur musicians. The aim of this case study was to examine the effects of this transition on three community band conductors and three older amateur musicians. Specific objectives were to explore intergenerational relationships to support (...) online group music-making; digital literacy and access in later life; and online music-making in a COVID-19 context. Semi-structured interviews were conducted and theoretical thematic analysis was undertaken. Results were analyzed from the conductors’ and older musicians’ perspectives, and common trends were combined to facilitate interpretation. The first theme showed that being part of an intergenerational ensemble contributed positively to the learning experience online. The second theme demonstrated that because both conductors and musicians were new to the online rehearsals, it contributed to attenuate the age-related digital divide that may have been observed in other studies. Regarding access in later-life, older musicians reported benefits associated with rehearsing online, specifically in terms of distance/commute, time, energy, and cost. However, for those who did not already have internet and electronic devices, the cost of acquiring all the necessary equipment to make music online could have been too high. Finally, the third theme revealed that musicians appreciated the opportunity to make music online and indicated that it was definitely better than having nothing, especially for its social aspects. In conclusion, while participants noted several challenges associated with online music-making, they were also appreciative of the opportunity to continue making music at a time when in-person rehearsals were not possible. Pedagogical implications are discussed, specifically the importance of the support network, of meeting people where they are, of learning to adapt, and of collaborative teaching. (shrink)

We argue that the view that kind terms designate universals does not fall prey to the trivialization problem. We also argue that the view can respond to other challenges, specifically, the claims that an adequate notion of rigidity for kind terms must: (a) classify natural kind terms as rigid and classify many other general terms as non-rigid and (b) account for the necessity of true theoretical identifications involving rigid terms.

Joseph LaPorte in an article on `Kind and Rigidity'(Philosophical Studies, Volume 97) resurrects an oldsolution to the problem of how to understand the rigidityof kind terms and other general terms. Despite LaPorte'sarguments to the contrary, his solution trivializes thenotion of rigidity when applied to general terms. Hisarguments do lead to an important insight however. Thenotions of rigidity and non-rigidity do not usefullyapply at all to kind or other general terms. Extendingthe notion of rigidity (...) from singular terms such as propernames to general terms such as natural kind terms is amistake. (shrink)

What does it mean for a general term to be rigid? It is argued by some that if we take general terms to designate their extensions, then almost no empirical general term will turn out to be rigid; and if we take them to designate some abstract entity, such as a kind, then it turns out that almost all general terms will be rigid. Various authors who pursue this line of reasoning have attempted to (...) capture Kripke’s intent by defining a rigid general term as one that applies to the objects in its extension essentially. I argue that this account is significantly mistaken for various reasons: it conflates a metaphysical notion (essentialism) with a semantic one (rigidity); it fails to countenance the fact that any term can be introduced into a language by stipulating that it be a rigid designator; it limits the extension of rigid terms so much that terms such as ‘meter’, ‘rectangle’, ‘truth’, etc. do not turn out to be rigid, when they obviously are; and it wrongly concentrates on the predicative use of a general term in applying a certain test offered by Kripke to determine whether a term is rigid. (shrink)

We defend the view that defines the rigidity of general terms as sameness of designated universal across possible worlds from the objection that such a characterization is incapable of distinguishing rigid from non-rigid readings of general terms and, thus, that it trivializes the notion of rigidity. We also argue that previous attempts to offer a solution to the trivialization problem do no succeed.

On Kripke’s intended definition, a term designates an object x rigidly if the term designates x with respect to every possible world in which x exists and does not designate anything else with respect to worlds in which x does not exist. Kripke evidently holds in Naming and Necessity, hereafter N&N (pp. 117–144, passim, and especially at 134, 139–140), that certain general terms – including natural-kind terms like ‘‘water’’ and ‘‘tiger’’, phenomenon terms like ‘‘heat’’ and ‘‘hot’’, (...) and color terms like ‘‘blue’’ – are rigid designators solely as a matter of philosophical semantics (independently of empirical, extra-linguistic facts). As a consequence, Kripke argues, identity statements involving these general terms are like identity statements involving proper names (e.g., ‘‘Clark Kent=Superman’’) in that, solely as a matter of philosophical semantics, they express necessary truths if they are true at all. But whereas it is reasonably clear what it is for a (first-order) singular term to designate, Kripke does not explicitly say what it is for a general term to designate. General terms are standardly treated in modern logic as predicates, usually monadic predicates. There are very forceful reasons – due independently to Church and Godel, and ultimately to Frege – for taking predicates to designate their semantic extensions. But insofar as the extension of the general term ‘‘tiger’’ is the class of actual tigers (or its characteristic function), it is clear that the term does not rigidly designate its extension, since the class of tigers in one possible world may differ from the class of tigers in another. What, then, is it for ‘‘tiger’’ to be rigid? (shrink)

I examine two sets of experimental results about the semantics of general terms, by Genone and Lombrozo (2012) and by Nichols, Pinillos and Mallon (forthcoming) that allegedly reveal significant variations in semantic intuitions as regards the correct application of general terms. The two sets of authors propose two entirely different semantic treatments: Genone and Lombrozo espouse a hybrid semantics whereas Nichols, Pinillos and Mallon are inclined towards an appeal to ambiguity. I cast some doubts on the (...) coherence of a hybrid theory and argue in favor of the ambiguity approach. But I also argue that the sort of ambiguitiy Nichols, Pinillos and Mallon postulate is easy to incorporate to non-descriptivist approaches. (shrink)

Natural kind terms have exercised philosophical fancy ever since Kripke, in Naming and Necessity, claimed them to be rigid designators. He there drew attention to the peculiar, name-like behavior of a family of prima facie loosely related general terms of ordinary English: terms such as ‘water’, ‘tiger’, ‘heat’, and ‘red’. Just as for ordinary proper names, Kripke argued that such terms cannot be synonymous with any of the definite descriptions ordinary speakers associate with them. Rather, (...) the name-like behavior of these so-called natural kind terms is to be explained, just as in in the case of proper names, by the doctrine of rigid designation. And as a consequence of thus extending the notion of rigid designation to general terms, he famously endorsed the claim that so-called ‘theoretical identifications’, i.e. statements like (1) Water is H2O, are necessary, if true. (shrink)

we explore the view that defines rigidity of general terms as sameness of designation across possible worlds. On this view, a general term is rigid just in case it designates the same universal (species, substance or property) in every possible world. This view has been proposed most notably by Bernard Linsky, Nathan Salmon and more recently by Joseph LaPorte, and it has been criticised by several philosophers, including Stephen Schwartz and Scott Soames.

In this paper I am concerned with the problem of applying the notion of rigidity to general terms. In Naming and Necessity, Kripke has clearly suggested that we should include some general terms among the rigid ones, namely, those common nouns semantically correlated with natural substances, species and phenomena, in general, natural kinds -'water', 'tiger', 'heat'- and some adjectives -'red', 'hot', 'loud'. However, the notion of rigidity has been defined for singular terms; after all, (...) the notion that Kripke has provided us with is the notion of a rigid designator. But general terms do not designate single individuals: rather, they apply to many of them. In sum, the original concept of rigidity cannot be straightforwardly applied to general terms: it has to be somehow redefined in order to make it cover them. As is known, two main positions have been put forward to accomplish that task: the identity of designation conception, according to which a rigid general term is one that designates the same property or kind in all possible worlds, and the essentialist conception, which conceives of a rigid general term as an essentialist one, namely, a term that expresses an essential property of an object. My purpose in the present paper is to defend a particular version of the identity of designation conception: on the proposed approach, a rigid general term will be one that expresses the same property in all possible worlds and names the property it expresses. In my opinion, the position can be established on the basis of an inference to the best explanation of our intuitive interpretation and evaluation, relative to counterfactual circumstances, of statements containing different kinds of general terms, which is strictly analogous to our intuitive interpretation and evaluation, relative to such circumstances, of statements containing different kinds of singular ones. I will argue that it is possible to offer a new solution to the trivialization problem that is thought to threaten all versions of the identity of designation conception of rigidity. Finally, I will also sketch a solution to the so-called 'over-generalization and under-generalization problems', both closely related to the above-mentioned one. (shrink)

The simple proposal for a characterization of general term rigidity is in terms of sameness of designation in very possible world. Critics like Schwartz (2002) and Soames (2002) have argued that such a proposal would trivialize rigidity for general terms. Martí (2004) claims that the objection rests on the failure to distinguish what is expressed by a general term and the property designated. I argue here against such a response by showing that the trivialization problem (...) reappears even if one pays attention to such a distinction. (shrink)

According to Scott Soames’ Beyond Rigidity, there are two important pieces of unfinished business left over from Saul Kripke’s influential Naming and Necessity. Soames reads Kripke’s arguments about names as primarily negative, that is, as proving that names don’t have a meaning expressible by definite descriptions or clusters of them. The famous Kripkean doctrine that names are rigid designators is really only part of the negative case. The thesis that names refer to the same object with respect to every possible (...) world is a byproduct of their meaning, not a positive account of what they mean. As well, the hints about causal chains and dubbings are no more than a picture, as Kripke says, and not a positive theory of meaning. Thus one piece of unfinished business, to which Soames devotes the most attention, is to give a positive account of the meanings of names. To do this Soames proposes that the meaning of a singular term is the contribution it makes to the semantic content of the sentences in which it occurs. The semantic content of a sentence is ordinarily a proposition, that proposition expressed by the most commonly intended assertion using the sentence. Soames’ proposal for a positive account is that the meaning of a proper name is its contribution to those propositions, simply the object to which it refers. Arguing for this positive account occupies the bulk of the book but I will not discuss it in my contribution to this symposium. (shrink)

In this paper I examine two ways of defining the rigidity of general terms. First I discuss the view that rigid general terms express essential properties. I argue that the view is ultimately unsatisfactory, although not on the basis of the standard objections raised against it. I then discuss the characterisation in terms of sameness of designation in every possible world. I defend that view from two objections but I argue that the approach, although basically (...) right, should be interpreted cautiously. (shrink)

In this essay, I present a problem that originates in Kripke's contention, in Naming and Necessity, that natural kind terms are rigid, namely, the problem of how to understand the notion of rigidity when it is applied to general terms. I also give an account, in a principled way, of the main theoretical options that seem to be available to solve that problem, and sketch the main features of Michael Devitt's proposal against that background. En este trabajo, (...) hago una presentación de un problema que Kripke deja planteado al sostener, en El nombrar y la necesidad, que los términos de género natural son rígidos, a saber, el de cómo debería ser entendida la noción de rigidez cuando ésta es aplicada a los términos generales. Asimismo, trazo un panorama de las distintas opciones teóricas disponibles, y presento las tesis centrales de la propuesta de Michael Devitt a la luz de este marco. (shrink)

Platonism, in its most recent and seemingly most cogent form, has rested on (a) the supposed indispensability of descriptive predicate terms in so-called "improved," or "clarified," or "perspicuous" languages; (b) the distinction between subject and predicate terms based on the asymmetry of the predication relation; and (c) the claimed ontological significance of the different categories of terms implied by (a) and (b). Nominalism, in one of its most pervasive recent forms, has involved the denial of the criterion (...) of ontological commitment embedded in (c) by explicitly or implicitly adopting the criterion expressed in Quine's formula "to be is to be the value of a variable." To avoid the obvious charge that nominalists merely ignore abstract entities by the arbitrary ploy of changing the rules, i.e. denying that ontological commitments are made by the inclusion of primitive predicates in schemata of certain kinds by simply employing a different criterion of commitment, some nominalists have sought to argue for their criterion by pointing to the distinction between singular and general terms and the radically different roles such terms play. The distinction between singular and general terms becomes the premise for an argument that purportedly supports Quine's criterion of ontological commitment. This criterion, in turn, provides the basis for the nomin'alist's use of primitive predicates, as general terms, without ontological commitment to abstract entities. In this paper I shall argue that the nominalist's gambit is inadequate in that the distinction between singular and general terms, as employed by a philosopher like Quine, merely provides a way of stating the nominalist's position and does not provide a reason for holding such a position. To put it another way, if we consider the contemporary nominalist to argue from the distinction between singular and general terms to the cogency of nominalism, since the former provides a ground for Quine's criterion of ontological commitment which, in turn, provides the basis for the latter, then the line of thought is question begging. It is so in that the very way the nominalist draws the distinction presupposes a nominalistic view, since a careful statement of that distinction amounts to a restatement of the nominalistic position. (shrink)

In his paper "Rigid Application", Michael Devitt defends a particular version of the socalled 'essentialist conception' of rigidity for general terms, according to which rigid general terms are rigid appliers, namely, terms that if they apply to an object in any possible world then they apply to that object in every possible in which the object exists. Devitt thinks that the thereby defined notion of rigidity makes for an adequate extension to general terms (...) of Kripke's notion, originally defined for singular ones, inasmuch as it serves to accomplish its same primary task: namely, "to distinguish terms that are not covered by a description theory from ones that are". He then criticizes the alternative conception of rigidity for general terms as identity of designation -specifically, LaPorte´s version- on the basis of its entanglement with some controversial metaphysical theses regarding the existence of universals -including a commitment to a selective realism concerning them. In this paper, I try to defend the identity of designation conception from his criticisms: with this aim, I propose a version different from LaPorte's, and claim it to be the best one to accomplish the above-mentioned primary semantic task, namely, the one of showing that some general terms, just like most ordinary names, cannot be accounted for in descriptive terms. En su artículo "Rigid Application", Michael Devitt defiende una versión particular de la llamada 'concepción esencialista' de la rigidez para términos generales, según la cual los términos generales rígidos son aplicadores rígidos, esto es, términos que si se aplican a un objeto en algún mundo posible, se aplican a ese objeto en todos los mundos posibles en los que existe. Devitt considera que tal noción de rigidez constituye una adecuada extensión del concepto kripkeano, definido originalmente para términos singulares, en la medida en que permite cumplir la misma función semántica fundamental que aquél: distinguir a los términos que pueden ser explicados mediante una teoría descriptivista de aquéllos para los cuales eso no es posible. De este modo, critica la concepción alternativa de la rigidez para términos generales, basada en la idea de identidad de designación -en la versión de LaPorte -, a la cual acusa de estar comprometida con discutibles tesis metafísicas, incluido un realismo selectivo acerca de los universales. En este trabajo, me propongo defender a esta concepción de sus críticas, para lo cual presento una versión de la misma diferente de la de LaPorte. En mi opinión, la versión propuesta supera además a la definición de rigidez ofrecida por Devitt en el logro de su objetivo principal, a saber, mostrar que algunos términos generales, al igual que la mayor parte de los nombres ordinarios, no pueden ser explicados en términos descriptivistas. (shrink)

This chapter contains sections titled: Introduction The Traditional Description Theory Kripke and Putnam Criticisms of the Direct Theory Legacy of the Direct Theory.

It is often thought that some general terms or kind terms, in particular natural kind terms, are rigid designators, and that a properly extended notion of singular-term rigidity can help explain the behaviour of such general terms. In this article, I argue that the only legitimate notion of general-term rigidity is a trivial one and identify some crucial asymmetries between a posteriori necessary truths involving names and a posteriori necessary truths involving general (...) terms. If we pay attention to these asymmetries, it becomes clear that attempts to draw a non-trivial rigid/non-rigid distinction for general terms are bound to fail to offer the explanations we expected. As opposed to singular terms, what is interesting about the behaviour of natural kind terms, even in modal contexts, cannot be accounted for by modal distinctions like rigidity/non-rigidity but must rather track non-modal features. (shrink)

SummaryIn the above titled remarks, a distinction between general terms and predicates is made following Quine and Leonard. It is argued that, given Quine's characterization of extensionality vis a vislanguages in his book Word And Object, a language similar to the regimented language Quine regards as adequate for the purposes of science and philosophy, except for the addition of constant singular terms some of which may be irreferential, can be completely extensional. If correct, this conclusion, apparently at (...) odds with a proof to the contrary by Lambert in 1974, is a heretofore unnoticed consequence of the distinction between predicates and general terms, and should be of concern to naturalistically inclined philosophers. (shrink)

I subscribe to and defend frege's view that concepts are essentially predicative such that they can never occur as subjects of predication, Arguing against recent contentions of geach and strawson to the effect that (a) some general terms can so occur; (b) that 'anything whatever' can be a subject of predication. I discuss in detail frege's treatment of universally quantified propositions, Particular propositions, And unquantified propositions arguing that his thesis can be defended in each type of case.

The aim of this thesis is to discuss whether general terms are rigid and if they are, how their rigidity should be interpreted. To this end, I first present the problems related to the rigidity of general terms. The most important ones among them are the following: What do general terms refer to? Is there any difference between the terms called “natural kind terms” and other general terms? After that, I (...) discuss the arguments of three competent interpretations which try to overcome these problems. The first interpretation holds that general terms refer to (or apply to) each and every object in their extensions. According to this view, only general terms related to essential properties like “cat”, “gold” turn out to be rigid. After I try to expose the drawbacks of this view, I examine the arguments of the second interpretation which holds that general terms refer to abstract kinds. I also argue for this interpretation. According to this interpretation general terms which refer to the same kind in all possible worlds turn out to be rigid. The main objection to this view is that this interpretation makes so many general terms rigid and it trivializes the notion of rigidity. Arguing that this is an unfair objection, I also focus on the philosophical importance of the subject and show that the interpretation I argue for realizes this philosophical importance. The third interpretation, on the other hand, rejects the rigidity of general terms. I also discuss the drawbacks of this view. -/- Another subject I discuss in the thesis is the rigidity of artifactual kind terms. The kinds of human made objects for specific purposes are usually called “artifactual kinds”. I argue that artifactual kind terms could rigidly refer to artifactual kinds. I reply to the critiques of this view with regard to the semantics of artifactual kind terms and metaphysics of artifactual kinds. (shrink)

examine Nathan Salmon’s solution to the problem of trivialization, as it arises for conceptions of general term rigidity that construe it as identity of designation across possible worlds. I argue that he does not succeed in showing that some alleged general terms, such as “the colour of the sky” are non-rigid, but also that a small class of different examples that he presents, which can be construed as second order descriptions, are indeed non-rigid general terms, (...) although for reasons different from those he thought. (shrink)

In this paper, I present, generalize and develop the extensionalist theory of rigidity for general terms in light of criteria commonly applied to theories of general term rigidity. According to the theory, a general term is rigid if its extension is constant across all possible worlds. This position has been widely dismissed because it conflicts with the seemingly straightforward idea that natural kind terms have varying extensions from world to world. This criticism holds only to (...) the extent that natural kind terms are indeed rigid. If it turns out that we need not view them as rigid, then the extensionalist theory fares well when compared with other theoretical requirements. (shrink)

ABSTRACT- In this paper my aim is to concentrate on the concepts like predicate, properties and classes; with an aim to understand the reason behind the re-applicability of general terms. It must also be noted that here general terms are supposed to be found in the predicate place of a proposition as properties and how they are ascribed to objects which may be mentioned in the subject place. This paper harps on the issue of; what acts (...) as a deciding factor behind such act of classification. A clear effort has been made as to the reason behind our grouping of objects and what we actually search for while choosing an object under a class. I have tried to make my point on the issue that at most we can call our act of classification as natural instead of calling a class as natural. For this I have particularly chosen an article of Anthony Quinton namely, ‘Properties and Classes’ (1958 vol-58, Issue 1, 1st June Proceedings of the Aristotelian Society). (shrink)

Any successful account of general terms must explain our ability to apply terms correctly to new instances. Many philosophers have thought resemblance offers an ontologically sparse basis for such an account. However, Any natural and plausible account of general terms on the basis of resemblance requires quite a rich ontology, Including at least second order properties and relations. Given a sufficiently rich structure of resemblances, We can surely account for the application of many general (...) terms. I argue, However, That our ability to recognize shapes and to apply terms for shapes cannot be explained on the basis of resemblance. (shrink)

In his recent paper ‘Analyticity: An Unfinished Business in Possible-World Semantics’ (Rabinowicz 2006), Wlodek Rabinowicz takes on the task of providing a satisfactory definition of analyticity in the framework of possible-worlds semantics. As usual, what Wlodek proposes is technically well-motivated and very elegant. Moreover, his proposal does deliver an interesting analytic/synthetic distinction when applied to sentences with natural kind terms. However, the longer we thought and talked about it, the more questions we had, questions of both philosophical and technical (...) nature. Hence the idea of this little paper – for how better to honor a philosopher than by trying very hard to criticize him? After quickly running over some background in possible worlds semantics and setting out Wlodek's proposal against that background, we shall bring up and discuss our questions in sections 3 – 5. In the final section, we shall also make a stab at a different solution to the problem, making use of our own earlier idea of relational modality. (shrink)

Th e present paper examines three kinds of theories concerning the rigidity of general terms—extensionalist, essentialist and intensionalist theories. It is argued that both essentialist and intensionalist theories cannot deal successfully with a number of problems and that the notions of rigidity they propose for general terms lack suffi cient explanatory power. A version of the extensionalist theory, supplemented with a hierarchy of intensions, is defended. Th e theory has surprising consequences, e.g., that ‘tiger’ and some (...) other natural kind terms are, contrary to the widespread opinion, non-rigid. (shrink)

1. Nathan Salmon paper is entitled with a question: are general terms rigid? He asks this question in way of engaging the issue of the extension of the notion of rigidity beyond the domain of singular terms. While singular terms has been the province of most of the discussion of this rigidity since Naming and Necessity, it is well known that Kripke saw the notion extending to at least certain general terms such as (...) class='Hi'>terms for natural kinds. Scott Soames has recently weighed in on this issue in the latter chapters of his book Beyond Rigidity. His conclusion is that although there are significant overlaps in the properties of singular and general terms, there is no direct extension of rigidity to the general terms, and that rigid designation is properly applied only to singular terms. Salmon disagrees. His view, based in part of views dating back to his book Reference and Essence, is that there is an extension to be had, one which allows the application of the standard Kripkean characterization of rigidity to be applied to both sorts of terms. Central to his thesis is a claim about the status of certain definite descriptions. In these remarks, I will try to outline the issues to which NS is reacting, and the proposal he posits in response. I will then consider in a more critical light his claim about definite descriptions, bringing to bear considerations of their grammar. (shrink)

I offer a brief formal exploration of a certain natural extension of the notion of rigidity to predicates, the notion of an essentialist predicate. I show that, under reasonable assumptions, true "identification sentences" involving essentialist predicates are necessary, and hence that the notion of essentiality is formally analogous in this respect to the notion of singular term rigidity. /// El artículo hace una breve exploración formal de una extensión natural de la noción de rigidez a los predicados, la noción de (...) predicado esencialista. Muestro que, dados supuestos razonables, las "oraciones de identificación" verdaderas que contienen predicados esencialistas son necesarias, y por tanto que la noción de esencialidad es formalmente análoga en este sentido a la noción de rigidez para los términos singulares. (shrink)

A common Chinese addressing practice is to address non-kin people with kinship terms, a phenomenon sometimes described as ‘kinship term generalization’. Previous studies have mainly focused on the characteristics and functions of kinship term generalization, confined to certain specific generalized kinship terms, and limited to GKTs in some Chinese dialects or certain Chinese literary works. The present study adopts the socio-pragmatic perspective to examine the phenomenon among Chinese graduate students, a social group not heeded in the literature. Based (...) on the analysis of the data collected, we argue that Chinese graduate students’ varying use of GKTs in academic settings is a pragmatic strategy, characterized by the family-centered cultural values of the Chinese society. It is hoped that the present study at the intersection between pragmatics and sociolinguistics may enrich the study of address forms in general, and in particular of Chinese GKTs. (shrink)

Standard Kripke-Putnam semantics is widely taken to entail that theoretical identifications like ‘Brontosauruses are Apatosauruses’ or ‘Gold is 79Au’ are necessary, if true. I offer a new diagnosis as to why this modal consequence ensues. Central to my diagnosis is the concept of a paradigm term. I argue that modal and epistemic peculiarities that are commonly considered as distinctive of natural kind expressions are in fact traits that are shared by paradigm terms in general. Philosophical semantics should broaden (...) its focus from natural kind expressions to paradigm terms. (shrink)

I address the question: “What is fixed on the boundary in the action principles of general relativity?” Four forms of the action are considered: the Einstein action, the Hilbert action, the first order action, and what may be called the cosmological action. The relationships and boundary data of these actions are described geometrically. Formal passage to the “Euclidean” forms of these actions is effected in detail.

The paper discusses the philosophical conclusions, which the interrelation between quantum mechanics and general relativity implies by quantum measure. Quantum measure is three-dimensional, both universal as the Borel measure and complete as the Lebesgue one. Its unit is a quantum bit (qubit) and can be considered as a generalization of the unit of classical information, a bit. It allows quantum mechanics to be interpreted in terms of quantum information, and all physical processes to be seen as informational in (...) a generalized sense. This implies a fundamental connection between the physical and material, on the one hand, and the mathematical and ideal, on the other hand. Quantum measure unifies them by a common and joint informational unit. Furthermore the approach clears up philosophically how quantum mechanics and general relativity can be understood correspondingly as the holistic and temporal aspect of one and the same, the state of a quantum system, e.g. that of the universe as a whole. The key link between them is the notion of the Bekenstein bound as well as that of quantum temperature. General relativity can be interpreted as a special particular case of quantum gravity. All principles underlain by Einstein (1918) reduce the latter to the former. Consequently their generalization and therefore violation addresses directly a theory of quantum gravity. Quantum measure reinterprets newly the “Bing Bang” theories about the beginning of the universe. It measures jointly any quantum leap and smooth motion complementary to each other and thus, the jump-like initiation of anything and the corresponding continuous process of its appearance. Quantum measure unifies the “Big Bang” and the whole visible expansion of the universe as two complementary “halves” of one and the same, the set of all states of the universe as a whole. It is a scientific viewpoint to the “creation from nothing”. (shrink)

Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.

Generalized structured component analysis (GSCA) is a component-based approach to structural equation modeling (SEM), where latent variables are approximated by weighted composites of indicators. It has no formal mechanism to incorporate errors in indicators, which in turn renders components prone to the errors as well. We propose to extend GSCA to account for errors in indicators explicitly. This extension, called GSCA_M, considers both common and unique parts of indicators, as postulated in common factor analysis, and estimates a weighted composite of (...) indicators with their unique parts removed. Adding such unique parts or uniqueness terms serves to account for measurement errors in indicators in a manner similar to common factor analysis. Simulation studies are conducted to compare parameter recovery of GSCA_M and existing methods. These methods are also applied to fit a substantively well-established model to real data. (shrink)