The view that an account of personal identity can be provided in terms of psychological continuity has come under fire from an interesting new angle in recent years. Critics from a variety of rival positions have argued that it cannot adequately explain what makes psychological states co-personal (i.e. the states of a single person). The suggestion is that there will inevitably be examples of states that it wrongly ascribes using only the causal connections available to it. In this paper, (...) I describe three distinct attacks on the psychological continuity theory along these lines. While I acknowledge that a number of interesting issues arise, I argue that the theory can withstand all three attacks. (shrink)

A plausible principle governing identity is that whether a later individual is identical with an earlier individual cannot ever merely depend on whether there are, at the later time, any better candidates for identity with the earlier individual around. This principle has been a bone of contention amongst philosophers interested in identity for many years. In his latest book Philosophical Explanations Robert Nozick presents what I believe to be the strongest case yet made out for the rejection of this principle. (...) My aim in this paper is to argue, with reference in particular to personal and artefact identity, that Nozick's case can be met and that a theory of identity which entails the correctness of this principle is the equal, indeed the superior, in explanatory power of the theory Nozick develops on the basis of its rejection. (shrink)

An important concern sometimes voiced in the neuroethical literature is that swift and radical changes to the parts of a person’s mental life essential for sustaining his/her numerical identity can result in the person ceasing to exist—in other words, that these changes may disrupt psychological continuity. Taking neurointerventions used for rehabilitative purposes as a point of departure, this short paper argues that the same radical alterations of criminal offenders’ psychological features which under certain conditions would result in a disruption (...) of numerical identity can be achieved without these having any effect on numerical identity. Thus, someone interested in making radical alterations to offenders’ psychology can avoid the charge that this would kill the offenders, while still achieving a radical transformation of them. The paper suggests that this possibility makes the question of what kinds of qualitive alterations to offenders’ identity are morally permissible pressing, but then briefly highlights some challenges for arguments against making radical qualitative identity alterations to offenders. No data are available. (shrink)

CONTINUOUS MODEL THEORY CHAPTER I TOPOLOGICAL PRELIMINARIES. Notation Throughout the monograph our mathematical notation does not differ drastically from ...

Abstract.At the heart of the most radical proposals in Stuart Kauffman's Investigations is his attempt to show that we find in evolutionary biology some configuration spaces—the sets of possible developments for any given system—that (unlike those in traditional physics of Newtonian, relativistic, and quantum stripes) cannot be completely described in advance. We bring Charles Peirce's work on the philosophy of continuity to bear on the problem and discover, first, that Kauffman's arguments do not succeed; second, that Peirce's metaphysics provide (...) new and sounder arguments for the same propositions; third, that Peirce's rigorous but nonstandard treatment of mathematical continuity shows great promise for modeling the unpredictability and growth we find in evolutionary biology; fourth, that it also strengthens a development only hinted at by biologists thus far—the inevitable involvement of the observer's mind in constituting the objects of science. We close with a logical argument for the surprising relevance of metaphysical hypotheses in the natural sciences and with suggestions for future work that will connect these questions to what Kauffman terms the “narrative stance” in biology. (shrink)

The concepts of a spatially continuous substance, of spatial dimension and of spatial boundary are here "analyzed out" of the concepts of individual thing, of constituent and of coincidence. The analysis is based upon the theory of spatial coincidence that was developed by Brentano. Its presuppositions are essentially these: (1) if there are spatial objects of any kind, then there are continuous spatial substances. (2) such substances are possibly such that they are not constituents of any individual thing; and (3) (...) they contain constituents (namely, boundaries) which are necessarily such that they are constituents of spatial substances. (shrink)

Using traditional meta-analytic techniques, we compile relevant research to enhance conceptual appreciation of ethical climate theory (ECT) as it has been studied in the descriptive and applied ethics literature. We explore the various treatments of ethical climate to understand how the theoretical framework has developed. Furthermore, we provide a comprehensive picture of how the theory has been extended by describing the individual-level work climate outcomes commonly studied in this theoretical context. Meta-analysis allows us to resolve inconsistencies in previous findings as (...) well as confirm the central tenets of the overall ethical climate framework. In addition, we consider the ethical climate relationships in the larger context of the␣theoretical framework, using path analysis to test the structural relationships. Overall, our results provide evidence of the relationships between ethical climate perceptions and individual-level work outcomes. Based on our analyses, we offer future research directions important for further development of ECT. (shrink)

The notion of a continuously variable quantity can be regarded as a generalization of that of a particular quantity, and the properties of such quantities are then akin to, and derived from, the properties of constants. For example, the continuous, real-valued functions on a topological space behave like the field of real numbers in many ways, but instead form a ring. Topos theory permits one to apply this same idea to logic, and to consider continuously variable sets . In this (...) expository paper, such applications are explained to the non-specialist. Some recent results are mentioned, including a new completeness theorem for higher-order logic. (shrink)

It is well known that the process of quantization—constructing a quantum theory out of a classical theory—is not in general a uniquely determined procedure. There are many inequivalent methods that lead to different choices for what to use as our quantum theory. In this paper, I show that by requiring a condition of continuity between classical and quantum physics, we constrain and inform the quantum theories that we end up with.

In this paper a solution of Whitehead’s problem is presented: Starting with a purely mereological system of regions a topological space is constructed such that the class of regions is isomorphic to the Boolean lattice of regular open sets of that space. This construction may be considered as a generalized completion in analogy to the well-known Dedekind completion of the rational numbers yielding the real numbers . The argument of the paper relies on the theories of continuous lattices and (...) “pointless” topology.

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Ockham realized the value of a careful study and application of the mathematical theory of continuity, even though he possessed no conclusive empirical evidence that it adequately explained the continuity experienced in the world of sense. He also clearly perceived a relation of continuity to infinity, since continuity, as a property of an order which is possible only to a series of terms, must have an infinite number of terms. “A continuous series must have an infinite (...) number of terms.”. (shrink)

Can information theory be used to understand neural signaling? Yes, but assumptions have to be made about the nature of that signaling. The traditional view is that the individual neural spike is an all-or-none phenomenon, which allows neural spikes to be viewed as discrete, binary pulses, similar in kind to the signals in digital computers. Under this assumption, the tools of information theory can be used to derive results about the properties of neural signals. However, new results from neuroscience demonstrate (...) that the precise shape of the individual spike can be functionally significant, thus violating the assumption that spikes can always be treated as a binary pulse. Instead, spikes must sometimes be viewed as a continuous signal. Fortunately, information-theoretic tools exist for the study of continuous signals; unfortunately, their use in the continuous domain is very different from their use in the discrete domain, and not always well understood. Researchers interested in making precise claims about the nature of the information used, stored, and processed in neural systems must pay careful attention to these differences. (shrink)

We investigate the Ramsey theory of continuous graph-structures on complete, separable metric spaces and apply the results to the problem of covering a plane by functions. Let the homogeneity number[Formula: see text] of a pair-coloring c:[X]2→2 be the number of c-homogeneous subsets of X needed to cover X. We isolate two continuous pair-colorings on the Cantor space 2ω, c min and c max, which satisfy [Formula: see text] and prove: Theorem. For every Polish space X and every continuous pair-coloringc:[X]2→2with[Formula: see (...) text], [Formula: see text] There is a model of set theory in which[Formula: see text]and[Formula: see text]. The consistency of [Formula: see text] and of [Formula: see text] follows from [20]. We prove that [Formula: see text] is equal to the covering number of 2 by graphs of Lipschitz functions and their reflections on the diagonal. An iteration of an optimal forcing notion associated to c min gives: Theorem. There is a model of set theory in which ℝ2 is coverable byℵ1graphs and reflections of graphs of continuous real functions; ℝ2 is not coverable byℵ1graphs and reflections of graphs of Lipschitz real functions. Figure 1.1 in the introduction summarizes the ZFC results in Part I of the paper. The independence results in Part II show that any two rows in Fig. 1.1 can be separated if one excludes [Formula: see text] from row. (shrink)

Corlett (2019) raises two groups of challenges against the two-factor theory of delusions: One focuses on weighing “the evidence for … the two-factor theory”; the other aims to question “the logic of the two-factor theory” (p. 166). McKay (2019) has robustly defended the two-factor theory against the first group. But the second group, which Corlett believes is in many aspects independent of the first group and Darby (2019, p. 180) takes as “[t]he most important challenge to the two-factor theory raised (...) by Dr. Corlett”, has by large remained. Here I offer my two cents in response to the second group. More specifically, I argue that Corlett’s challenges to the logic of the two-factor theory, concerning modularity, double dissociation and cognitive penetration, seem to be based on some misunderstandings of the two-factor theory. (shrink)

This book presents a detailed analysis of three ancient models of spatial magnitude, time, and local motion. The Aristotelian model is presented as an application of the ancient, geometrically orthodox conception of extension to the physical world. The other two models, which represent departures from mathematical orthodoxy, are a "quantum" model of spatial magnitude, and a Stoic model, according to which limit entities such as points, edges, and surfaces do not exist in (physical) reality. The book is unique in its (...) discussion of these ancient models within the context of later philosophical, scientific, and mathematical developments. (shrink)

Continuity is perhaps the most familiar characterization of the finitary character of the operations performed in computation. We sketch the historical and conceptual development of this notion by interpreting it as a unifying theme across three main varieties of semantical theories of programming: denotational, axiomatic and event-based. Our exploration spans the development of this notion from its origins in recursion theory to the forms it takes in the context of the more recent event-based analyses of sequential and concurrent (...) computations, touching upon the relations of continuity with non-determinism. (shrink)

Under the assumption that all "rules" are recursive (ECT) the statement $\operatorname{Cont}(N^N,N)$ that all functions from N N to N are continuous becomes equivalent to a statement KLS in the language of arithmetic about "effective operations". Our main result is that KLS is underivable in intuitionistic Zermelo-Fraenkel set theory + ECT. Similar results apply for functions from R to R and from 2 N to N. Such results were known for weaker theories, e.g. HA and HAS. We extend not (...) only the theorem but the method, fp-realizability, to intuitionistic ZF. (shrink)

By understanding laws of nature as geometrical rather than linguistic entities, this paper addresses how to describe theory structures and how to evaluate their continuity. Relying on conceptual spaces as a modelling tool, we focus on the conceptual framework an empirical theory presupposes, thus obtain a geometrical representation of a theory’s structure. We stress the relevance of measurement procedures in separating conceptual from empirical structures. This lets our understanding of scientific laws come closer to scientific practice, and avoids a (...) widely recognised deficit in current philosophy of science accounts, namely to risk a collapse of the physical into the mathematical. (shrink)

I call "material continuation" the fact of one material thing or event being followed by another in time. In this article, I address the question why material continuation obtains, as it seems to do. Johanna Seibt's theory of dynamism promises to explain material continuation by reference to Aristotle's concept of energeia. I argue that her account fails to explain how one thing at one time might be followed by another at another.

I want to examine the implications of a metaphysical thesis which is presupposed in various objections to Rawls' theory of justice.Although their criticisms differ in many respects, they concur in employing what I shall refer to as the continuity thesis. This consists of the following claims conjointly: (1) The parties in the original position (henceforth the OP) are, and know themselves to be, fully mature persons who will be among the members of the well-ordered society (henceforth the WOS) which (...) is generated by their choice of principles of justice. (2) The OP is a conscious event among others, integrated (compatibly with the constraints on knowledge and motivation imposed on the parties) into the regular continuity of experience that comprises each of their ongoing constitutes lives. (3) The parties in the OP thus are, and regard themselves as, psychologically continuing persons, partially determined in personality and interests by prior experiences, capable of recollection and regret concerning the past, anticipation and apprehensiveness regarding the future, and so on. Although the continuity thesis as stated above is not at odds with any of the conditions that define the OP, its exegetical validity is a matter for discussion. I shall be concerned to argue that if it is indeed contained in or a consequence of Rawls' theory, then it casts into doubt the capacity of the OP to generate or justify any principles of justice at all. On the other hand, if the continuity thesis is viewed as dispensable and unnecessary to the Rawlsian enterprise, then Rawls is correct in maintaining the irrelevance of the question of personal identity to the construction of his moral theory. In this case, the contract-theoretic, instrumentalist justification for the two principles of justice (henceforth the 2PJ) needs to be supplanted by a modified conception of wide reflective equilibrium. The considerations that form the bulk of this discussion then may be understood as providing a rationale for Rawls' recent revisions in the model of justification on which his theory of justice rests, and for his increasing emphasis on us as moral mediators between the OP and the WOS. Now I want to consider the question of whether or not, given the textual evidence, anything like the continuity thesis is stated or implied by Rawls, and what problems for his theory, if any, turn on a positive or negative answer to this question. -/- . (shrink)

Exact wavelet solutions of the wave equation for accelerating potentials are found and applied to single individual events in Stern-Gerlach experiment.

This paper presents four theorems that connect continuity postulates in mathematical economics to solvability axioms in mathematical psychology, and ranks them under alternative supplementary assumptions. Theorem 1 connects notions of continuity (full, separate, Wold, weak Wold, Archimedean, mixture) with those of solvability (restricted, unrestricted) under the completeness and transitivity of a binary relation. Theorem 2 uses the primitive notion of a separately continuous function to answer the question when an analogous property on a relation is fully continuous. Theorem (...) 3 provides a portmanteau theorem on the equivalence between restricted solvability and various notions of continuity under weak monotonicity. Finally, Theorem 4 presents a variant of Theorem 3 that follows Theorem 1 in dispensing with the dimensionality requirement and in providing partial equivalences between solvability and continuity notions. These theorems are motivated for their potential use in representation theorems. (shrink)

We study the class of l-groups of the form C with X an essential P-space. Many such l-groups are non-projectable and their elementary theories may often be reduced to that of an associated Boolean algebra with distinguished ideal. In this paper we establish the decidability of the theories of two classes of such l-groups via corresponding results for the associated structures.

Of three types of evidence available to evolution theorists – comparative, continuity, and computational – the first is largely productive rather than predictive. Although comparison between extant species or languages is possible and can be suggestive of evolutionary processes, leading to theory development, comparison with extinct species and languages seems necessary for validation. Continuity and computational evidence provide the best opportunities for supporting predictions.

The third edition of this popular reader reflects considerable changes. With over seventy readings representing a wide diversity of theorists, it offers a breadth of coverage not available in other collections. The framework for understanding theory as a set of conversations over time is maintained and deepened, with a focus on key transitional theorists who helped pave the way from classical to contemporary theory. New contextual and biographical materials surround the primary readings, and each chapter includes a study guide with (...) key terms, discussion questions, and innovative classroom exercises. The result is a fresh and expansive take on social theory that foregrounds a plurality of perspectives and defines contemporary trends in the field, while being both an accessible and manageable teaching tool. (shrink)

Introduction -- Australia : 1788-2001 -- Kelsen : authorised constitutional change -- Application of Kelsen's account -- Raz : continuity of social form -- Application of Raz's account.

This thesis attempts to show that Georg Lukacs' Marxist theory of realism is best understood, not as a self sufficient body of theory, but in the context of his pre- Marxist theory of literature and his,role in the Communist movement, A comparison of the theory expounded in "Die Seele and die Fonaen" and "Die Theorie des Romans" with the main positions of "Geschichte und Kiassenbewusstsein" reveals that it was remarkably easy for Lukacs to accommodate his literary theory within the newly-acquired (...) philosophy. An examination of Lukacs' career shows that his move to Marxism was motivated by a search for the practical instrument to implement the ideal which was the mainspring behind both his own life and, in his theory, all great literature, namely, the classical ideal of harmony. The resulting change in emphasis from aesthetics to political action led, in the thirties, to the attempt to synthesize both in a cultural campaign. Political pressure, combined with the genuine belief that the excesses of Stalinism were the acceptable price of resistance to the overriding threat of fascism, resulted in the employment of a rigid determinism, deplored ill others, which was incompatible with the core of his understanding of literary realism. The creation of realism was, however, for both the pre- Marxist and the Marxist Lukacs, ultimately inexplicable in materialist terms. (shrink)

We use the theory of domains with totality to construct some logics generalizing ω-logic and β-logic and we prove a completenes theorem for these logics. The key application is E-logic, the logic related to the functional 3E. We prove a compactness theorem for sets of sentences semicomputable in 3E.

A minority position is presented in which evidence will be cited from the Hobson, Solms, Revonsuo, and Nielsen target articles and from other sources, supporting major tenets of Freud's theory of dreaming. Support is described for Freud's view of dreams as meaningful, linked to basic motivations, differing qualitatively in mentation, and wish-fulfilling. [Hobson et al.; Nielsen; Revonsuo; Solms].

This paper applies Paul Grobstein's theory of science as story telling and story revising to history. The purpose of drawing such links is to show that in our current age when disciplinary borders are becoming increasingly blurred, what may be effective research practice for one discipline, may have some useful insights for another. It argues that what Grobstein advocates for science makes just as much sense for history and that historians have long recognised in their own discipline many of the (...) points Grobstein raises. It examines the changing role of stories dependant upon their cultural context and the emergence of global stories due to advances in technology. Such advances also challenge traditional methods of telling the story. It suggests that we may be entering a period which demands a new discourse on the relationship between human knowledge, understanding, and culture. (shrink)