Higher - dimensional calculus and integral transformation play crucial roles in advancing our understanding of complex systems in mathematics and theoretical physics . Integral transformations are instrumental in simplifying complex differential equations, enabling the resolution of multi - dimensional problems that arise in various scientific fields . This paper aims to delve into a specific higher - dimensional integral transformation defined by the axioms \(F[q, s, l, \alpha]\) and \(G[q, s, l, \beta, c]\) . We start by outlining the axioms (...) which define the functions \(F\) and \(G\) . Specifically, Axiom 1 defines \(F\) as a function of four variables : \(q\), \(s\), \(l\), and \( \alpha\), whereas Axiom 2 defines \(G\) as a function that additionally includes variables \( \beta\) and \(c\) . Axiom 3 relates \(h\) and \(l\) via a sine function . The core of our investigation is the integral transformation expressed as a five - dimensional integral involving \(G\) and proving its equivalence to \(F\), provided a specific condition on \(c\) holds . We approach this problem by first deriving the expression for \(c\) through detailed differentiation of \(F\) and equating it to \(G\) . The derivation involves advanced calculus techniques and symbolic mathematics to solve the resulting equations . We then verify the derived expression for \(c\) by substituting it back into the relationship between \(F\) and \(G\), ensuring that the equality holds under integral transformation . Finally, to corroborate our findings, we employ visualizations through multidimensional contour plots to illustrate the relationship between the derived expressions . This provides an intuitive confirmation of the mathematical consistency and validity of the transformation . This paper contributes to the field by providing a nuanced and detailed examination of higher - dimensional integral transformations and their underlying mathematical structures . The results have potential implications for theoretical physics, particularly in areas involving complex systems and multi - dimensional analyses . (shrink)

Seventeenth century scholastics had a rich debate about the ontological status and nature of lacks, negations, and privations. Realists in this debate posit irreducible negative entities responsible for the non-existence of positive entities. One of the first scholastics to develop a realist position on negative entities was Thomas Compton Carleton. In this paper I explain Carleton's theory of negative entities, including what it is for something to be negative, how negative entities are individuated, whether they are abstract or concrete, (...) and how they affect their subjects. I argue that for Carleton, negative entities are conceived as spatially extended simples that affect their subjects by means of spatial overlap. I also show how Carleton responds to some theological worries about his realism concerning negative entities. (shrink)

In this paper, I consider the contribution of Geoffrey Bennington's book, _Scatter 1_, to the ongoing discussion of the political dimension of deconstruction. Focusing on the resonances between Bennington's "politics of politics" and the notion of infrapolitics, I suggest that Bennington's major contribution revolves around the introduction of undecidability into political action and thought.

This collection consolidates these scattered works of Proudhon to provide researchers with citation sources in a paper format. The editing of this collection is a non-profit project. The articles and letters in this collection include: 1837 Application for the Suard Pension 1839 The Celebration of Sunday 1840 Letter to the Members of the Academy of Besançon 1842 Explanations Presented to the Public Minister on the Right of Property Letter to Bergmann 1845 My Testament: or, Society of Avengers 1846 Proudhon To (...) Marx 1847 On the Jews 1848 Letter to Jeanne Deroin The Malthusians, the Representatives of the People Toast to the Revolution 1849 God is Evil, Man is Free In Connection with Louis Blanc: The Present Use and Future Possibility of the State Interest and Principal: A Loan is a Service Interest and Principal: Arguments Drawn from the Operations of the Bank of France Interest and Principal: The Origin of Ground Rent Interest and Principle: The Circulation of Capital, Not Capital Itself, Gives Birth to Progress Letter to Pierre Leroux Parliamentary Isolation The Coming Era of Mutualism The Nature and Destination of Government The State: Its Nature, Object, and Destiny What is Government? What is God? 1850 Dilemma: Red or White 1851 Letter to A. M. Boutteville Letter to Langlois 1852 The Extremes The Social Revolution Demonstrated by the Coup d'Etat of December 2, 1851 Unanimity: Universal Consent 1855 New Propositions Demonstrated in the Practice of Revolutions Propositions: To Leave Behind Abstractions, Utopias, Systems, Doctrines, Theories and Empiricisms of the Parties Schools and Sects 1857 Letter to Villiaumé 1861 Relation of the State and Liberty, According to Modern Right The Theory of Taxation 1864 Letter to Several Workers in Paris and Rouen. (shrink)

I show that the Eternalist faces a trilemma. Given their theory of time, three claims are each very plausible, yet together form an inconsistent triad. Denying any one of these claims will have significant consequences for how they can conceive of the material realm. I urge that the best strategy is to deny the first claim, and show that this would have a significant consequence: Perdurantism is false.

Rutherford’s α-particles scattering experiment was one of the milestone for the physics community as it provided an insight to an atom thus discarding the previously prevailed Thomson’s model. Through this article we shall examine the theoretical formulation of Rutherford’s experiment and how it helped to shape the modern physics.

The early history of string theory is marked by a shift from strong interaction physics to quantum gravity. The first string models and associated theoretical framework were formulated in the late 1960s and early 1970s in the context of the S-matrix program for the strong interactions. In the mid-1970s, the models were reinterpreted as a potential theory unifying the four fundamental forces. This paper provides a historical analysis of how string theory was developed out of S-matrix physics, aiming to clarify (...) how modern string theory, as a theory detached from experimental data, grew out of an S-matrix program that was strongly dependent upon observable quantities. Surprisingly, the theoretical practice of physicists already turned away from experiment before string theory was recast as a potential unified quantum gravity theory. With the formulation of dual resonance models (the “hadronic string theory”), physicists were able to determine almost all of the models' parameters on the basis of theoretical reasoning. It was this commitment to “non-arbitrariness”, i.e., a lack of free parameters in the theory, that initially drove string theorists away from experimental input, and not the practical inaccessibility of experimental data in the context of quantum gravity physics. This is an important observation when assessing the role of experimental data in string theory. (shrink)

When one visually hallucinates, the object of one’s hallucination is not before one’s eyes. On the standard view, that is because the object of hallucination does not exist, and so is not anywhere. Many different defenses of the standard view are on offer; each have problems. This paper defends the view that there is always an object of hallucination—a physical object, sometimes with spatiotemporally scattered parts.

This paper intends to further the understanding of the formal properties of (higher-order) vagueness by connecting theories of (higher-order) vagueness with more recent work in topology. First, we provide a “translation” of Bobzien's account of columnar higher-order vagueness into the logic of topological spaces. Since columnar vagueness is an essential ingredient of her solution to the Sorites paradox, a central problem of any theory of vagueness comes into contact with the modern mathematical theory of topology. Second, Rumfitt’s recent topological reconstruction (...) of Sainsbury’s theory of prototypically defined concepts is shown to lead to the same class of spaces that characterize Bobzien’s account of columnar vagueness, namely, weakly scattered spaces. Rumfitt calls these spaces polar spaces. They turn out to be closely related to Gärdenfors’ conceptual spaces, which have come to play an ever more important role in cognitive science and related disciplines. Finally, Williamson’s “logic of clarity” is explicated in terms of a generalized topology (“locology”) that can be considered an alternative to standard topology. Arguably, locology has some conceptual advantages over topology with respect to the conceptualization of a boundary and a borderline. Moreover, in Williamson’s logic of clarity, vague concepts with respect to a notion of a locologically inspired notion of a “slim boundary” are (stably) columnar. Thus, Williamson’s logic of clarity also exhibits a certain affinity for columnar vagueness. In sum, a topological perspective is useful for a conceptual elucidation and unification of central aspects of a variety of contemporary accounts of vagueness. (shrink)

A physical model of the electron is suggested according to the basic structures of matter (BSM) hypothesis. BSM is based on an alternative concept about the physical vacuum, assuming that space contains an underlying grid structure of nodes formed of superdense subelementary particles, which are also involved in the structure of the elementary particles. The proposed grid structure is formed of vibrating nodes that possess quantum features and energy well. It is admitted that this hypothetical structure could account for the (...) missing “dark matter” in the universe. The signature of this dark matter is apparent in the galactic rotational curves and in the relation between masses of the supermassive black hole in the galactic center and the host galaxy. The suggested model of the electron possesses oscillation features with anomalous magnetic moment and embedded signatures of the Compton wavelength and the fine-structure constant. The analysis of the interactions between the oscillating electron and the nodes of the vacuum grid structure allows us to obtain physical meaning for some fundamental constants. (shrink)

Scattered skeptical remarks and a general austerity that infused his writings have given Justice Oliver Wendell Holmes a reputation as some type of nihilist. Noted commentators such as Richard Posner and Albert Alschuler have claimed as much. This article seeks to correct this misunderstanding. Holmes was not a nihilist in the sense of being melancholy due to a belief that the world has no absolute moral values or gods. Instead, Holmes was a pragmatist in the spirit of William James and (...) John Dewey. While Holmes had doubts about moral truth and deities, he ultimately thought that their existence (or non-existence) should have no bearing on our behavior or the law. We must, through our collective efforts, find values that work for us. (shrink)

"... Dr. Ihde brings an enlightening and deeply humanistic perspective to major technological developments, both past and present." —Science Books & Films "Don Ihde is a pleasure to read.... The material is full of nice suggestions and details, empirical materials, fun variations which engage the reader in the work... the overall points almost sneak up on you, they are so gently and gradually offered." —John Compton "A sophisticated celebration of cultural diversity and of its enabling technologies.... perhaps the best (...) single volume relating the philosophical tradition to the broad issues raised by contemporary technologies." —Choice "... important and challenging... " —Review of Metaphysics "... a range of rich historical, cultural, philosophical, and psychological insights, woven together in an intriguing and clear exposition... The book is really a pleasure to read, for its style, immense learning and sanity." —Teaching Philosophy The role of tools and instruments in our relation to the earth and the ways in which technologies are culturally embedded provide the foci of this thought-provoking book. (shrink)

Drawing on remarks scattered through his writings, I argue that Leibniz has a highly distinctive and interesting theory of color. The central feature of the theory is the way in which it combines a nuanced subjectivism about color with a reductive approach of a sort usually associated with objectivist theories of color. After reconstructing Leibniz's theory and calling attention to some of its most notable attractions, I turn to the apparent incompatibility of its subjective and reductive components. I argue that (...) this apparent tension vanishes in light of his rejection of a widely accepted doctrine concerning the nature of bodies and their geometrical qualities. (shrink)

(1) In the first part of this paper, I review Chomsky's meandering journey from the formalism/mentalism of Syntactic Structures, through several methodological positions, to the minimalist theory of his latest work. Infected with mentalism from first to last, each and every position vitiates Chomsky's repeated claims that his theories will provide useful guidance to later theories in such fields as cognitive psychology and cognitive neuroscience. With the guidance of his insights, he claims, psychologists and neuroscientists will be able to avoid (...) costly dead-end lines of research. -/- (2) This never happened. As I have shown, this never could have happened. (See Johnston, 2018). What has happened, instead, is that current neurolinguistic research (with the arguable exception of the now-dated Lemma Model of Willem Levelt) proceeds without reference to Chomsky. It also wholeheartedly rejects the mentalism of the associated Language of Thought theory of Jerry Fodor. (See Johnston, 2018). -/- (3) I make this argument in the first part of this paper. I would also like to point out that most of my argument was developed in 1972, when I was a graduate student. I know of no other sustained criticisms of Chomsky at that time, and certainly none along the lines I had developed back then. -/- (4) In the second part of this paper, I present my own account of the methodology of science. When I was a graduate student, philosophy of science was dominated by an attempt to describe a methodology common to all the specific sciences, i.e. Hempel’s deductive-nomological model. These days, Hempel’s emphasis on the methodological unity of science has been rejected by such “dis-unity” philosophers of science as Ian Hacking, Patrick Suppes and Nancy Cartwright (see Cat, 2021). -/- (5) I view this change as the swing of a pendulum or, to change the metaphor, a journey from one end point of a continuum to another. As the level of abstraction at which one tries to describe scientific method is raised, the descriptions become increasingly general. Whether or not unity-of-science theories become so general as to be vacuous, is ultimately a subjective judgment. And so I expect that philosophers will eventually become tired of increasingly specific “close to the workbench” descriptions of how scientists work, and begin to turn back to methodological “big pictures”, finding in them powerful abstractions rather than empty irrelevancies. -/- (6) In the second part of this paper, I present my own account of the methodology of science, which I would situate somewhere between the “unity” and “dis-unity” accounts. However, I am not a scientist. My own views about scientific method have three origins: -/- (6a) my work as a graduate student from 1966 until I passed my comprehensive exams in 1973 (at a different university); -/- (6b) reading every issue of Scientific American from 1972 until nearly 2000, (at which point I continued to read it only sporadically, since I concluded that, around that time, it had evolved from a serious science magazine to a popular science magazine); and -/- (6c) my three-year immersion in the cognitive neuroscience of language after I retired, based on repeated study of and note-taking for (Banesh & Compton, 2018), (Kemmerer, 2015), several other books and, finally, numerous articles not hidden behind a paywall. -/- So, as always with my writings: caveat emptor. (shrink)

Despite overlooking religious topics, Wittgenstein’s Philosophical Investigations (PI) has had a large impact in philosophy of religion. This article surveys that influence and the reasons for it. In what follows, I first describe the reception of certain key concepts from the PI in philosophy of religion. Second, I examine a few scattered remarks on religious topics in the PI. Third, I consider the relevance of the PI for contemporary philosophy of religion. I argue that the dialogical nature of the PI, (...) allowing different generations of readers to engage it with their particular philosophical problems, is key to its longterm influence. (shrink)

To the extent that dualism is even taken to be a serious option in contemporary discussions of personal identity and the philosophy of mind, it is almost exclusively either Cartesian dualism or property dualism that is considered. The more traditional dualism defended by Aristotelians and Thomists, what I call hylemorphic dualism, has only received scattered attention. In this essay I set out the main lines of the hylemorphic dualist position, with particular reference to personal identity. First I argue that overemphasis (...) of the problem of consciousness has had an unhealthy effect on recent debate, claiming instead that we should emphasize the concept of form. Then I bring in the concept of identity by means of the notion of substantial form. I continue by analyzing the relation between form and matter, defending the traditional theses of prime matter and of the unicity of substantial form. I then argue for the immateriality of the substantial form of the human person, viz. the soul, from an account of the human intellect. From this follows the soul's essential independence of matter. Finally, although the soul is the immaterial bearer of personal identity, that identity is still the identity of an essentially embodied being. I explain how these ideas are to be reconciled. Footnotesa I am grateful to Stephen Braude, John Cottingham, John Haldane, David Jehle, Joel Katzav, Eduardo Ortiz, and Fred Sommers for helpful comments and discussion of a draft of this essay. I would also like to thank Ellen Paul, whose suggestions have helped greatly to improve the essay's style and content. (shrink)

Much recent discussion has focused on the nature of artifacts, particularly on whether artifacts have essences. While the general consensus is that artifacts are at least intention-dependent, an equally common view is function essentialism about artifacts, the view that artifacts are essentially functional objects and that membership in an artifact kind is determined by a particular, shared function. This paper argues that function essentialism about artifacts is false. First, the two component conditions of function essentialism are given a clear and (...) precise formulation, after which counterexamples are offered to each. Second, ways to handle the counterexamples suggested by Randall Dipert and Simon Evnine are considered and rejected. Third, I then consider the prospects for restricting function essentialism to so-called technical artifacts, as Lynne Baker does, and argue that this, too, fails. This paper thereby consolidates the scattered literature on function essentialism and shows that, despite the seeming plausibility of the thesis, it should be rejected as an account of artifact essences. (shrink)

The context for biological emergence is modular hierarchical structures; their existence is what enables functional complexity to arise. Because of the openness of organisms to their environment, complete initial data (position, momentum) of all particles making up their structure is insufficient to determine future outcomes, because unpredictable new matter, energy, and information impacts each organism from the exterior. Consequently, through Darwinian evolution, life has developed processes to handle this issue functionally on short time scales as well on longer developmental timescales. (...) Symbolism and technology are the transforming factors handling this issue at the social levels, which is where the most sophisticated outcomes of openness occur. Considering the cosmological context, the issue is, should the universe itself be regarded as an open system over time? I make the case that is indeed so, because radically new outcomes occur such as the existence of aircraft, iPads, and the internet, which could not plausibly have been encoded in some form of data on the Last Scattering Surface in the expanding universe. (shrink)

This document gathers together, in summary form, objections scattered across many papers and multiple online databases. Nevertheless, it omits some objections, notably complicated ones.

A symposium on my *Objects: Nothing Out of the Ordinary* (2015). In response to Wallace, I attempt to clarify the dialectical and epistemic role that my arguments from counterexamples were meant to play, I provide a limited defense of the comparison to the Gettier examples, and I embrace the comparison to Moorean anti-skeptical arguments. In response to deRosset, I provide a clearer formulation of conservatism, explain how a conservative should think about the interaction between intuition and science, and discuss what (...) conservatives should say about scattered territories, clonal colonies, and arbitrary systems. In response to Tillman and Spencer, I fortify my original presentation of the debunking arguments by clarifying why, even while trees (if they exist) are paradigmatically causal, conservatives are meant to be rationally obstructed from believing that it is trees that are causing our tree beliefs. (shrink)

Gottfried Leibniz embarked on a research program to prove all the Aristotelic categorical syllogisms by diagrammatic and algebraic methods. He succeeded in proving them by means of Euler diagrams, but didn’t produce a manuscript with their algebraic proofs. We demonstrate how key excerpts scattered across various Leibniz’s drafts on logic contained sufficient ingredients to prove them by an algebraic method –which we call the Leibniz-Cayley (LC) system– without having to make use of the more expressive and complex machinery of first-order (...) quantificational logic. In addition, we prove the classic categorical syllogisms again by a relational method –which we call the McColl-Ladd (ML) system– employing categorical relations studied by Hugh McColl and Christine Ladd. Finally, we show the connection of ML and LC with Boolean algebra, proving that ML is a consequence of LC, and that LC is a consequence of the Boolean lattice axioms, thus establishing Leibniz’s historical priority over George Boole in characterizing and applying (a sufficient fragment of) Boolean algebra to effectively tackle categorical syllogistic. (shrink)

Engels explained his admiration for Balzac by pointing to an apparent discrepancy between Balzac’s literature and his politics. Despite his sympathies for the French nobility, Balzac’s realism “compelled” him to portray this class in unflattering terms. In this article, I challenge Engels’s reading, arguing that Marx’s scattered remarks on Balzac take us in a different direction. Specifically, I argue that in his remark on Balzac’s The Peasants Marx pinpointed the author’s preoccupation with the spread of bourgeois ideology into the nobility. (...) Building on this remark, I analyze several of Balzac’s works showing that insofar as Balzac lambasted the nobles, his critique was primarily directed towards nobles who had adopted bourgeois ways. In this light, and against Engels’s observation, Balzac’s critique of the nobles appears to stem from his sympathy to aristocratic values rather than conflicting with them. In showing that affinities between Balzac, Marx and Engels did not depend on Balzac expressing anti-noble sentiment, I argue that the admiration the fathers of communism had for the monarchist’s prose exemplifies a partial, yet typical convergence between socialists and conservatives in their critique of modern bourgeois society. (shrink)

Evolutionary theory usually neglects two variables: the changes induced in the environment by the evolving organism, and individual uniqueness in sexually reproducing species. In order to fuel its maintenance and reproduction, an organism must average a positive net energy balance vis-a-v}s its environment. It achieves this via aptations, which consist of information (i.e., the internalization of all that is predictable about the environment, including the machinery to take advantage of this information) and stored energy (to operate the machinery, including a (...) safety margin to deal with events that are unpredictable in principle). Taking advantage of a prediction, however, interferes with what has been predicted; each adaptation by the organism therefore changes its environmental target. Today's organism is adapted to yesterday's environment, and today's predator inherits yesterday's prey image. This paper attempts to show that, over evolutionary time, the persistence of this asymmetric, time-lagged relationship is owed increasingly to genetically unique individuals. Individual uniqueness as resulting from sexual reproduction is janusfaced. It endows an evolving population with both a forward-looking (promethean) and backward-looking (protean) feature. A population made up of genetically unique individuals is promethean (creative) in its ability to exploit non-homogeneous resources and respond serendipitously to environmental change via new genotypes; it is protean (elusive) in presenting a pursuer (predator or parasite) with a scattered target. Furthermore, because of the asymmetry between the winnowing of the target gene pool by the pursuer, and the genetic fixation in the pursuer of an outdated target image, the target keeps evolving away from the pursuer at a speed and in a direction that are a function of the pursuer's success. This mechanism ensures an evolutionary time lag be102 W. Sterrer tween pursuer and target, which explains escalation, the stability of asymmetric coevolutionary systems such as the life/dinner principle, and the pervasiveness of the Red Queen effect. Individuality thus both promotes and retards the speed of evolution. Having probably originated simultaneously with predation, sex-generated individuality is a self-accelerating evolutionary process that may account for much of today's organismic and environmental complexity. (shrink)

We spend a good deal of time thinking about how and when to advise others, and how to respond to other people advising us. However, philosophical discussions of the nature and norms advising have been scattered and somewhat disconnected. The most focused discussion has come from philosophers of language interested in whether advising is a kind of assertive or directive kind of speech act. This paper argues that the ordinary category of advising is much more heterogenous than has been appreciated: (...) it is possible to advise by asserting relevant facts, by issuing directives, and by asking questions and other kinds of adviceless advising. The heterogeneity of advising makes speech act-theoretic accounts of advising look like accounts of special cases, and motivates us to look elsewhere for an account of what advising is. I suggest that we think about advising as a distinctive species of joint practical thinking—which I will call collaborative deliberation—and show how our need for a concept to pick out this kind of joint activity emerges from our practical needs as deliberators. This view helps to shed light on a number of puzzling features of advising and offers some guidance to be better at advising and at being advised. (shrink)

A conspicuous feature of contemporary modelling practices is the use of the same mathematical forms and modelling methods across different scientific domains. This model transfer raises many philosophical questions concerning, for example, the exact object of transfer, the relationship between the model and the target domain, the specific challenges such transfer confronts, and the ways in which model transfer relates to scientific progress. While the interest in studying model transfer has increased among philosophers of science in recent years, the phenomenon (...) has not yet received its due attention. The literature is scattered and much of it has addressed questions around the factors that might explain model transfer, such as whether the different target phenomena to which a model is applied eventually prove to be structurally and dynamically similar, or whether they have to share more fundamental ontological features that explain the interdisciplinary success of distinct models. This chapter surveys the existing literature on model transfer with the main goal of highlighting the main findings of existing discussions and pointing out open issues whose discussion would improve our understanding of this highly relevant phenomenon in science. (shrink)

I discuss some of Aristotle’s scattered remarks from which one can construct his conception of matter. Aristotle seems to oscillate between two conceptions: one in which matter is the principle of becoming, another in which matter is a constituent element with no contribution for processes of becoming. Sometimes Aristotle takes matter as a thing independent in itself, and the correlated form is a feature that does not contribute to the matter’s essence, nor is a necessary condition for its existence. But (...) sometimes Aristotle takes matter as a constituent element the existence of which depends on the whole thing it is the matter of. These different approaches to matter seem to suggest an inconsistent theory of matter. However, I argue that, quite to the contrary, Aristotle has a consistent theory about matter. One of my main points is to distinguish contexts in which Aristotle is indeed talking about matter in general from contexts in which he uses the term “matter” to refer to a given thing that was previously taken as matter and to talk about that thing not qua matter, but qua the thing it is. (shrink)

The aim of this paper is to present a topological method for constructing discretizations of topological conceptual spaces. The method works for a class of topological spaces that the Russian mathematician Pavel Alexandroff defined more than 80 years ago. The aim of this paper is to show that Alexandroff spaces, as they are called today, have many interesting properties that can be used to explicate and clarify a variety of problems in philosophy, cognitive science, and related disciplines. For instance, recently, (...) Ian Rumfitt used a special type of Alexandroff spaces to elucidate the logic of vague concepts in a new way. Moreover, Rumfitt’s class of Alexandroff spaces can be shown to provide a natural topological semantics for Susanne Bobzien’s “logic of clearness”. Mainly due to the work of Peter Gärdenfors and his collaborators, conceptual spaces have become an increasingly popular tool of dealing with a variety of problems in the fields of cognitive psychology, artificial intelligence, linguistics and philosophy. For Gärdenfors’s conceptual spaces, geometrically defined discretizations play an essential role. These tessellations can be shown to be extensionally equivalent to topological tessellations that can be constructed for Alexandroff spaces in general. Thereby, Rumfitt’s and Gärdenfors’s constructions turn out to be special cases of an approach that works for a more general class of spaces, namely, for weakly scattered Alexandroff spaces. The main aim of this paper is to show that this class of spaces provides a convenient framework for conceptual spaces as used in epistemology and related disciplines in general. Weakly scattered Alexandroff spaces are useful for elucidating problems related to the logic of vague concepts, in particular they offer a solution of the Sorites paradox. Further, they provide a semantics for the logic of clearness that overcomes certain problems of the concept of higher-order vagueness. Moreover, these spaces help find a natural place for classical syllogistics in the framework of conceptual spaces. The specialization order of Alexandroff spaces can be used to refine the all-or-nothing distinction between prototypical and non-prototypical stimuli in favor of a gradual distinction between more or less prototypical elements of conceptual spaces. The greater conceptual flexibility of the topological approach helps avoid some inherent inadequacies of the geometrical approach, for instance, the so-called “thickness problem”. Finally, it is shown that the Alexandroff spaces offer an appropriate framework to deal with digital conceptual spaces that are gaining more and more importance in the areas of artificial intelligence, computer science and related disciplines. (shrink)

This article is devoted to describing results of conceptualization of the idea of mind at the stage of maturity. Delineated the acquisition by the energy system (mind) of stable morphological characteristics, which associated with such a pivotal formation as the discourse. A qualitative structural and ontological sign of the system transition to this stage is the transformation of the verbal morphology of the mind into a discursive one. The analysis of the poststructuralist understanding of discourse in the context of the (...) dispersion of meanings (Foucault) made it possible to formulate a notion of it as a meaning that is constituted by the relation between the discursive practice and the worldview, regarded as a meta-discourse or a global discursive formation. In consequence of this relationship, a discrete and simultaneous scattering of meanings arises, the procedural side of which is a concrete discourse, and its productive aspect is linked with the creation of a local discursive formation. Based on this view it is proposed a logical formula of discourse, which takes into account the entropy of the language and the entropy of the worldview, as a particular manifestation of the mind entropy. Using this formula and considering the reactive nature of discourse, it was developed a classification, which included such types of discourses as reactive, suggestive, synthetic and creative. In turn, the proposed types of discourses are correlated with the specific characteristics of certain activities, as a psychological category. Also, it was considered the translation of the structure of discourse dissipation from the cognitive plan into the affective sphere because of which it is formed a hierarchy of significances, which performs the sense-forming function. It was analyzed the inverse influence of the hierarchy of significances on the structure of meanings dispersion and for respective account it was introduced a conditional coefficient of the value deviation of the significance of the meanings. This parameter reflects the sense correction of the meaning that occurs in the process of the emergence of discourse from discursive practice. Thus, the discourse is presented as a complex dynamic formation of the mind arising at the maturity stage of the system as a result of the combined effect of entropic dispersion of meanings and the value deviation of their significances. (shrink)

This paper situates Wittgenstein in what is known as the causalism/anti-causalism debate in the philosophy of mind and action and reconstructs his arguments to the effect that reasons are not a species of causes. On the one hand, the paper aims to reinvigorate the question of what these arguments are by offering a historical sketch of the debate showing that Wittgenstein's arguments were overshadowed by those of the people he influenced, and that he came to be seen as an anti-causalist (...) for reasons that are in large part extraneous to his thought. On the other hand, the paper aims to recover the arguments scattered in Wittgenstein's own writings by detailing and defending three lines of argument distinguishing reasons from causes. The paper concludes that Wittgenstein's arguments differ from those of his immediate successors; that he anticipates current anti-psychologistic trends; and that he is perhaps closer to Davidson than historical dialectics suggest. (shrink)

Judgment aggregation theory, or rather, as we conceive of it here, logical aggregation theory generalizes social choice theory by having the aggregation rule bear on judgments of all kinds instead of merely preference judgments. It derives from Kornhauser and Sager’s doctrinal paradox and List and Pettit’s discursive dilemma, two problems that we distinguish emphatically here. The current theory has developed from the discursive dilemma, rather than the doctrinal paradox, and the final objective of the paper is to give the latter (...) its own theoretical development along the line of recent work by Dietrich and Mongin. However, the paper also aims at reviewing logical aggregation theory as such, and it covers impossibility theorems by Dietrich, Dietrich and List, Dokow and Holzman, List and Pettit, Mongin, Nehring and Puppe, Pauly and van Hees, providing a uniform logical framework in which they can be compared with each other. The review goes through three historical stages: the initial paradox and dilemma, the scattered early results on the independence axiom, and the so-called canonical theorem, a collective achievement that provided the theory with its specific method of analysis. The paper goes some way towards philosophical logic, first by briefly connecting the aggregative framework of judgment with the modern philosophy of judgment, and second by thoroughly discussing and axiomatizing the ‘general logic’ built in this framework. (shrink)

Haag’s theorem cries out for explanation and critical assessment: It sounds the alarm that something is (perhaps) not right in one of the standard ways of constructing interacting fields to be used in generating predictions for scattering experiments. Viewpoints as to the precise nature of the problem, the appropriate solution, and subsequently-called-for developments in areas of physics, mathematics, and philosophy differ widely. In this paper, we develop and deploy a conceptual framework for critically assessing these disparate responses to Haag’s (...) theorem. Doing so reveals the driving force of more general questions as to the nature and purpose of foundational work in physics. (shrink)

In the present article we attempt to show that Aristotle's syllogistic is an underlying logiC which includes a natural deductive system and that it isn't an axiomatic theory as had previously been thought. We construct a mathematical model which reflects certain structural aspects of Aristotle's logic. We examine the relation of the model to the system of logic envisaged in scattered parts of Prior and Posterior Analytics. Our interpretation restores Aristotle's reputation as a logician of consummate imagination and skill. Several (...) attributions of shortcomings and logical errors to Aristotle are shown to be without merit. Aristotle's logic is found to be self-sufficient in several senses: his theory of deduction is logically sound in every detail. (His indirect deductions have been criticized, but incorrectly on our account.) Aristotle's logic presupposes no other logical concepts, not even those of propositional logic. The Aristotelian system is seen to be complete in the sense that every valid argument expressible in his system admits of a deduction within his deductive system: every semantically valid argument is deducible. (shrink)

This article studies Madame de Lambert's early eighteenth-century views on aging, and especially the aging of women, by contextualizing them in a twofold way: It understands them as a response to La Rochefoucauld's skepticism concerning aging, women, and the aging of women; It understands them as being closely connected to a long series of scattered remarks concerning esteem, self-esteem, and honnêteté in Lambert's moral essays. Whereas La Rochefoucauld describes aging as a decline of intellectual, emotional, and physical powers and is (...) suspicious of the mechanisms of esteem and self-esteem, Lambert develops a view of aging as offering the chance to become more independent of the judgment of others, especially the chance for women to become more independent of the judgment of men. As she argues, aging offers women the possibility of cultivating genuinely estimable intellectual and emotional qualities that attract the justified esteem essential for a stable friendship, as well as the opportunity to develop a form of self-esteem that is based on respect for one's own capacities of judgment. (shrink)

A community, for ecologists, is a unit for discussing collections of organisms. It refers to collections of populations, which consist (by definition) of individuals of a single species. This is straightforward. But communities are unusual kinds of objects, if they are objects at all. They are collections consisting of other diverse, scattered, partly-autonomous, dynamic entities (that is, animals, plants, and other organisms). They often lack obvious boundaries or stable memberships, as their constituent populations not only change but also move in (...) and out of areas, and in and out of relationships with other populations. Familiar objects have identifiable boundaries, for example, and if communities do not, maybe they are not objects. Maybe they do not exist at all. The question this possibility suggests, of what criteria there might be for identifying communities, and for determining whether such communities exist at all, has long been discussed by ecologists. This essay addresses this question as it has recently been taken up by philosophers of science, by examining answers to it which appeared a century ago and which have framed the continuing discussion. (shrink)

Jordan Peterson’s remarks on the nature of truth are voluminous. Despite this, widespread confusion persists on Peterson’s understanding of truth. One reason for this is that Peterson’s treatment of this notion is scattered and unsystematic. Another reason is that the scholarly work on Peterson’s truth is lacking. It is the goal of this paper to clarify Peterson’s views by deploying instruments of analysis from contemporary philosophical literature. After critically discussing Peterson’s views, I conclude that his truth is best understood as (...) an anti-realist notion. Finally, I propose certain developments to Peterson's views by emphasizing his remarks on the value and mind-dependence of truth. (shrink)

Little attention is given to Richard Rorty’s metaethical views. No doubt this stems from the fact that most commentators are more interested in his metaphilosophical views; most see his metaethical views, offered in scattered passages, as just the downstream runoff from higher-level reflection. This article considers Rorty’s metaethics on their own merits, quite apart from whether his global picture works. I ultimately argue that Rorty’s metaethical outlook is attractive but beset by internal difficulties. Specifically, I contend that Rorty does not (...) and cannot remain faithful to the methodological approach to metaethics for which he advocates. At the paper’s close, I gesture at a nearby methodological approach that best approximates Rorty’s metaethical methodology. (shrink)

This document is a set of notes I took on QFT as a graduate student at the University of Pennsylvania, mainly inspired in lectures by Burt Ovrut, but also working through Peskin and Schroeder (1995), as well as David Tong’s lecture notes available online. They take a slow pedagogical approach to introducing classical field theory, Noether’s theorem, the principles of quantum mechanics, scattering theory, and culminating in the derivation of Feynman diagrams.

This paper—written for nonspecialist readers—asks whether life after death is in any sense possible given the apparent fact that after we die our remains decay to the point where only randomly scattered atoms remain. The paper argues that this is possible only if our remains are not in fact dispersed in this way, and discusses how that might be the case. -/- 1. Life After Death -- 2. Total Destruction -- 3. The Soul -- 4. Body-Snatching -- 5. Radical Resurrection (...) -- 6. Irreversibility -- 7. Atomic Reassembly -- 8. The Transporter -- 9. Replicas and Originals -- 10. Survival and Causal Connections. (shrink)

In my dissertation, I address a variety of issues in the metaphysics of space and related areas. I begin by discussing the popular thesis that regions of space are identical to sets of points in space. I present three arguments against this thesis and conclude that we should be skeptical of it. In its place, I propose an axiomatic theory of regions of space that is consistent with both reductive accounts of their nature and with accounts that treat them as (...) sui generis entities. -/- I next explore the consequences of the aforementioned considerations. In particular, I describe five different sorts of structure each of which is such that the claim that space could have that structure is consistent with the axiomatic theory previously proposed. I claim that this fact, together with the skepticism concerning reductive accounts argued for earlier, shows that we should take seriously the claim that space could have any of these structures. -/- Having argued that we should be skeptical of the thesis that regions of space are identical to sets of points in space and suggesting that space could have different sorts of structure, I discuss how best to analyze continuity. I present an analysis of continuity inspired by remarks of Richard Cartwright in his 1975 paper ‘Scattered Objects’. I argue that this Cartwrightian analysis should be rejected because it identifies regions of space with sets of points in space, and I present a modified version of the analysis that does not do so. I note, however, that there is an intuitive notion of continuity that is not captured by this modified Cartwrightian analysis. I present and defend an analysis of continuity that better captures this intuitive notion. -/- I then turn to the issue of how to analyze what it is for a region of space to be open and what it is for a region of space to be closed. Here I argue that Cartwright’s analyses of these notions are incorrect. I then present a series of alternative analyses, revising each in response to objections. This process culminates with my proposed analyses of what it is for a region of space to be open and what it is for a region of space to be closed. -/- Finally, I discuss the Maximally Continuous Account of Simples (MaxCon), originally formulated and defended by Ned Markosian in his 1998 paper ‘Simples’. I argue that Markosian’s version of MaxCon, which identifies regions of space with sets of points in space and relies on the Cartwrightian analysis of continuity, should be rejected. I then formulate a new version of MaxCon that builds on the views defended earlier in my dissertation and defend this new version of MaxCon from objections. (shrink)

Early Heidegger argues that a “homogenous space of nature” can be revealed by stripping away the intelligibility of Dasein's everyday world, a process he calls “deworlding.” Given this, some interpreters have suggested that Heidegger, despite not having worked out the details himself, is also committed to a notion of deworlded time. Such a “natural time” would amount to an endogenous sequentiality in which events are ordered independently of Dasein and the stand it takes on its being. I show that Heidegger (...) was indeed committed to such a temporal realism even though his treatment of these issues is somewhat scattered and pulled in different directions. In the course of my reconstruction, I renew an interpretation of Heidegger that stresses Dasein's thrownness into nature and I answer William Blattner's powerful interpretation of Heidegger as a failed temporal idealist who was unable to derive the sequentiality of ordinary time from Dasein's non-sequential originary temporality. Heidegger did not attempt to derive sequentiality; instead, he understood it as a built-in feature of the natural universe by which Dasein's activities are constrained. World-time turns out to be a co-production of Dasein's non-sequential originary temporality and the endogenous sequentiality of events in nature. (shrink)

When a novel scientific theory conflicts with otherwise plausible moral assumptions, we do not treat that as evidence against the theory. We may scrutinize the empirical data more keenly and take extra care over its interpretation, but science is in some core sense immune to moral refutation. Can the same be said of philosophical theories (or the non-ethical, ‘metaphysical’ ones at least)? If a position in the philosophy of mind, for example, is discovered to have eye-widening moral import, does that (...) count against it at all? Actual responses by philosophers to the question of whether unanticipated moral consequences of metaphysical theories have evidential force are scattered, implicit, divergent, under-argued, and sometimes even self-undermining. The present discussion is, most immediately, an attempt to sort out the confusion. Beyond that, it exploits the new perspective this question gives us on a familiar topic: the relation of philosophy to science. (shrink)

I discuss the possibility that there is no intrinsic unity to the capacities which are bundled under the label "folk psychology". Cooperative skills, attributional skills, and predictive skills may be scattered as parts of other non--psychological capacities. I discuss how some forms of social life bring these different skills together. I end with some remarks on how abilities that are not unified in their essential mechanisms may still form a rough practical unity. (Remark: the paper is conjectural. It describes a (...) possibility to take seriously rather than a conclusion of which I am convinced.). (shrink)

Three big philosophical problems about consciousness are: Why does it exist? How do we explain and understand it? How can we explain brain-consciousness correlations? If functionalism were true, all three problems would be solved. But it is false, and that means all three problems remain unsolved (in that there is no other obvious candidate for a solution). Here, it is argued that the first problem cannot have a solution; this is inherent in the nature of explanation. The second problem is (...) solved by recognizing that (a) there is an explanation as to why science cannot explain consciousness, and (b) consciousness can be explained by a different kind of explanation, empathic or “personalistic” explanation, compatible with, but not reducible to, scientific explanation. The third problem is solved by exploiting David Chalmers“principle of structural coherence”, and involves postulating that sensations experienced by us–visual, auditory, tactile, and so on–amount to minute scattered regions in a vast, multi dimensional “space” of all possible sensations, which vary smoothly, and in a linear way, throughout the space. There is also the space of all possible sentient brain processes. There is just one, unique one-one mapping between these two spaces that preserves continuity and linearity. It is this which provides the explanation as to why brain processes and sensations are correlated as they are. I consider objections to this unique-matching theory, and consider how the theory might be empirically confirmed. (shrink)

THE IMMORTAL FLY: ETERNAL WHISPERS. WHO IS SHE? Author: Rituparna Ray Chaudhuri. Hello, Recently my book named, ‘The Immortal Fly: Eternal Whispers : Based On True Events of a Family' been published from Partridge (USA) In Association with Penguin Random House (UK) and achieved a separate Google identity. -/- As being # the author of the book, I thought to define self in the book what is definition of 'Depression'. I wanted to explain self in many ways, but the best (...) quotation appeared to me : “My life will end someday, but it will end at my convenience.’’ -/- ***** I am missing "her". By now, years passed without 'her' . Even though, unlike before, everything is becoming to be more scattered, gloomy and desolate. She is no-where whom I share my feelings. Even now, when I do close my eyes, I can visualize the same that I had left years since on 7th February, 2019 at 8.20 A.M. in the hospital struggling a continuous period of fifty days : on the fifty one day, my father said, ”The End of our Fifty Years relationship has been completed with the Fifty Days”….’Whoever’ she was to others , but she is our legend…To me, she is ‘My Ma’. -/- The story could begin, 'I failed preciously on success of my life.' Simplicity, Innocence, Belief, Faith and Personality met unknowingly with filthy waves skillfully immersed in Betray, Sorcery, Jealousy, Greediness, Revenge, Lie... ‘’ ******* The Daughter writes, “I had asked Ma many times, but her ‘impenetrable personality’ and dynamic words to everyone with a tinge of smile as reflected on her face, she was reluctant to continue her conversation with me. I had thought, hence, I must not be indefinite on my spoken words. Who shall I blame!” Based on true story of a family came from South Calcutta (India) to a suburb, on staying at home of the Daughter’s maternal grandmother’s house, this book reveals in facts and true events how Destiny had unknowingly ‘further’ played an abominable role to Fate of The Daughter, when eventually one day on 7th February, 2019 everything was finished within 8.20A.M. The Daughter is, therefore, left alone on terrestrial with immortal words as written in her Diary, ‘Eternal Whispers’: “My words to self that I am to fulfill my Ma’s - wish. ’’ ‘’ -/- • Keywords: 1. Diary and True Events 2. The Chaotic Society 3. Fatality 4. Of A-Family 5. Science , Philosophy and Literature 6. Severe Depression 7. Medical Journey. -/- The Alternative Title of the Book: The Greatest Mistake or Fortune:: The book is mainly carrying with intense words of a journey of the relationship between a Mother with her Daughter has left readers in an abrupt situation where ,perhaps, I can define "Man is the innocent creature with 'his' personality under circumstances..." -/- . (shrink)

Arendt claims that our natality (i.e., our condition of being born) is the “source” or “root” of our capacity to begin (i.e., of our capacity to initiate something new). But she does not fully explain this claim. How does the capacity to begin derive from the condition of birth? That Arendt does not immediately and unambiguously provide an answer to this question can be seen in the fact that her notion of natality has received very different interpretations. In the present (...) paper, I seek to clarify the notion. I bring together and examine Arendt’s scattered remarks about natality and propose a new interpretation that responds to the stated question. Along the way, I show how the various existing interpretations have arisen and argue that, in view of that question, they are inadequate. (shrink)

Revisionary ontologists are making a comeback. Quasi-nihilists, like Peter van Inwagen and Trenton Merricks, insist that the only composite objects that exist are living things. Unrestriced universalists, like W.V.O. Quine, David Lewis, Mark Heller, and Hud Hudson, insist that any collection of objects composes something, no matter how scattered over time and space they may be. And there are more besides. The result, says Eli Hirsch, is that many commonsense judgments about the existence or identity of highly visible physical objects (...) are a priori necessarily false. In a “last ditch effort” to bring revisionary ontologists back to their senses, Hirsch marshalls what he calls the Argument from Charity. We can be sure that there are tables and chairs and that there are no fusions of Plato’s nose and the Eiffel Tower, says Hirsch, because these commonsense platitudes are a logical consequence of the well-known principle of interpretive charity applied to natural languages, like English. In what follows, I assess the Argument from Charity. My conclusion is that if this is the best we can do to save revisionary ontologists, they are surely lost forever. (shrink)

The electronic and muonic hydrogen energy levels are calculated very accurately [1] in Quantum Electrodynamics (QED) by coupling the Dirac Equation four vector (c ,mc2) current covariantly with the external electromagnetic (EM) field four vector in QED’s Interactive Representation (IR). The c -Non Exclusion Principle(c -NEP) states that, if one accepts c as the electron/muon velocity operator because of the very accurate hydrogen energy levels calculated, the one must also accept the resulting electron/muon internal spatial and time coordinate operators (ISaTCO) (...) derived directly from c without any assumptions. This paper does not change any of the accurate QED calculations of hydrogen’s energy levels, given the simplistic model of the proton used in these calculations [1]. The Proton Radius Puzzle [2, 3] may indicate that new physics is necessary beyond the Standard Model (SM), and this paper describes the bizarre, and very different, situation when the electron and muon are located “inside” the spatially extended proton with their Centers of Charge (CoCs) orbiting the proton at the speed of light in S energy states. The electron/muon center of charge (CoC) is a structureless point that vibrates rapidly in its inseparable, non-random vacuum whose geometry and time structure are defined by the electron/muon ISaTCO discrete geometry. The electron/muon self mass becomes finite in a natural way due to the ISaTCOs cutting off high virtual photon energies in the photon propagator. The Dirac-Maxwell-Wilson (DMW) Equations are derived from the ISaTCO for the EM fields of an electron/muon, and the electron/muon “look” like point particles in far field scattering experiments in the same way the electric field from a sphere with evenly distributed charge “e” “looks” like a point with the same charge in the far field (Gauss Law). The electron’s/muon’s three fluctuating CoC internal spatial coordinate operators have eight possible eigenvalues [4, 5, 6] that fall on a spherical shell centered on the electron’s CoM with radius in the rest frame. The electron/muon internal time operator is discrete, describes the rapid virtual electron/positron pair production and annihilation. The ISaTCO together create a current that produce spin and magnetic moment operators, and the electron and muon no longer have “intrinsic” properties since the ISaTCO kinematics define spin and magnetic moment properties. (shrink)

Abstract:This article raises a series of doubts about Chris Voparil’s reading of Rorty, particularly the claim that what he calls “Rorty’s Pragmatic Maxim” represents what is at the heart of his philosophical vision. Those doubts are tied together with some scattered thoughts about how Voparil describes the affinities between Rorty and William James in chapter 2 of Reconstructing Pragmatism. Voparil is correct to claim that it is James, more than any other figure in the pragmatist tradition, who shares the most (...) with Rorty in “basic philosophical orientation”. Yet I also argue that Voparil fails to correctly puts his finger on what that “basic philosophical orientation” really comes to, due in large part to an excessively political reading of James and Rorty that he relies on. (shrink)

In this article, the author examines different theories and approaches to mass movements in the historical process and their impact on the condition of Western culture. In the short introduction, the main historical, cultural and philosophical origins of the mass movements from antiquity to present time are described. This paper examines the question why the social and cultural influence of the man of mass is difficult to predict. To answer this question, the author demonstrates the continuing transition from the psychology (...) of the crowd to the structure of mass instinct and collective interaction. The first part exposes general psychological characteristics of the mob according to the ideas of Gustave Le Bon. Le Bon describes masses as emotional, irresponsible, uncritical and conservative, although marks heroism and sacrifice as their positive manifestations. In the second part, the author reflects upon the perspective of Gabriel Tard on this problem. Tard’s term “public opinion” deals with the representatives who – while living in separation – participate in the mass communication. In the third part, attestations of the mass such as humility, conformism and obsession are investigated based on the ideas of Sigmund Freud. The next point of the article is devoted to Jose Ortega y Gasset’s concept of the revolt of masses. Ortega captures the ambivalence of masses who express the power ambition and indifference to culture. From the point of view of Hannah Arendt, masses become terrible, self-satisfied, atomized, unstructured and anonymous. However, Elias Canetti defines masses as compressed and scattered, closed and open, fast and slow. Yet different parameters of the masses one can find in Siegfried Kracauer’s writing – namely aesthetics, technicism, ritual. Finally, in the last part, the author appeals to Jean Baudrillard’s approach to the problem who declares that masses became silent and indistinct. (shrink)

This dispatch tells the story of Julian, a librarian who left his stationary library job for a much more dynamic pursuit: to bring libraries to people instead of the other way around. Julian’s “mobile library” vision was to get new books – and new ideas – to people living in the most remote areas of Colombia. Books on his back, Julian criss-crosses the veredas (rural villages) and the corregimientos (indigenous areas) by motorbike or on foot. He visits small villages of (...) just one or two thousand people, scattered across the mountains. Villages, where there are no libraries, and where there may be no books. Villages, where schools have only textbooks, nothing more, and where it takes long walks for children to go to school. Julian tours his mobile library through the mountains of Cauca, a region in southwest Colombia. The Nasa indigenous people live in this region, as do guerrillas, paramilitaries and drug traffickers. Julian spreads media through his books and storytelling. He gives people a much more personal recounting of life and the country’s social condition. Words and ideas which may shine light on the actual enemy for all readers: the structural and historical inequalities, and the propaganda fuelling the violence against the wrong target. Once we understand the extent of Julian’s offer, it is no longer about the mobile library’s books and storytelling workshops, it is about offering paper mirrors to exhausted warriors on all sides. (shrink)