Traditional geometry concerns itself with planimetric and stereometric considerations, which are at the root of the division between plane and solid geometry. To raise the issue of the relation between these two areas brings with it a host of different problems that pertain to mathematical practice, epistemology, semantics, ontology, methodology, and logic. In addition, issues of psychology and pedagogy are also important here. To our knowledge there is no single contribution that studies in detail even one of the aforementioned areas.

Roughly, a proof of a theorem, is “pure” if it draws only on what is “close” or “intrinsic” to that theorem. Mathematicians employ a variety of terms to identify pure proofs, saying that a pure proof is one that avoids what is “extrinsic,” “extraneous,” “distant,” “remote,” “alien,” or “foreign” to the problem or theorem under investigation. In the background of these attributions is the view that there is a distance measure (or a variety of such measures) between mathematical statements and (...) proofs. Mathematicians have paid little attention to specifying such distance measures precisely because in practice certain methods of proof have seemed self- evidently impure by design: think for instance of analytic geometry and analytic number theory. By contrast, mathematicians have paid considerable attention to whether such impurities are a good thing or to be avoided, and some have claimed that they are valuable because generally impure proofs are simpler than pure proofs. This article is an investigation of this claim, formulated more precisely by proof- theoretic means. After assembling evidence from proof theory that may be thought to support this claim, we will argue that on the contrary this evidence does not support the claim. (shrink)

Many mathematicians have cited depth as an important value in their research. However, there is no single widely accepted account of mathematical depth. This article is an attempt to bridge this gap. The strategy is to begin with a discussion of Szemerédi's theorem, which says that each subset of the natural numbers that is sufficiently dense contains an arithmetical progression of arbitrary length. This theorem has been judged deep by many mathematicians, and so makes for a good case on which (...) to focus in analyzing mathematical depth. After introducing the theorem, four accounts of mathematical depth will be considered. (shrink)

This article will consider imagination in mathematics from a historical point of view, noting the key moments in its conception during the ancient, modern and contemporary eras.

Gaisi Takeuti (1926–2017) is one of the most distinguished logicians in proof theory after Hilbert and Gentzen. He extensively extended Hilbert's program in the sense that he formulated Gentzen's sequent calculus, conjectured that cut-elimination holds for it (Takeuti's conjecture), and obtained several stunning results in the 1950–60s towards the solution of his conjecture. Though he has been known chiefly as a great mathematician, he wrote many papers in English and Japanese where he expressed his philosophical thoughts. In particular, he used (...) several keywords such as "active intuition" and "self-reflection" from Nishida's philosophy. In this paper, we aim to describe a general outline of our project to investigate Takeuti's philosophy of mathematics. In particular, after reviewing Takeuti's proof-theoretic results briefly, we describe some key elements in Takeuti's texts. By explaining these texts, we point out the connection between Takeuti's proof theory and Nishida's philosophy and explain the future goals of our project. (shrink)

Over the years many mathematicians have voiced a preference for proofs that stay “close” to the statements being proved, avoiding “foreign”, “extraneous”, or “remote” considerations. Such proofs have come to be known as “pure”. Purity issues have arisen repeatedly in the practice of arithmetic; a famous instance is the question of complex-analytic considerations in the proof of the prime number theorem. This article surveys several such issues, and discusses ways in which logical considerations shed light on these issues.

Gaisi Takeuti extended Gentzen's work to higher-order case in 1950's–1960's and proved the consistency of impredicative subsystems of analysis. He has been chiefly known as a successor of Hilbert's school, but we pointed out in the previous paper that Takeuti's aimed to investigate the relationships between "minds" by carrying out his proof-theoretic project rather than proving the "reliability" of such impredicative subsystems of analysis. Moreover, as briefly explained there, his philosophical ideas can be traced back to Nishida's philosophy in Kyoto's (...) school. For the proving the consistency of such systems, it is crucial to prove the well-foundedness of ordinals called "ordinal diagrams" developed for it. Takeuti presented such arguments several times in order to show that they are admitted in his stand point. As a starting point of investigating his finitist stand point, we formulate the system of ordinal notations up to ε0 and reconstruct the well-foundedness arguments of them. (shrink)

Une preuve est pure si, en gros, elle ne réfère dans son développement qu’à ce qui est « proche » de, ou « intrinsèque » à l’énoncé à prouver. L’infinité des nombres premiers, un théorème classique de l’arithmétique, est un cas d’étude particulièrement riche pour les recherches philosophiques sur la pureté. Deux preuves différentes de ce résultat sont ici considérées, à savoir la preuve euclidienne classique et une preuve « topologique » plus récente proposée par Furstenberg. D’un point de vue (...) naïf, il semblerait que la première soit pure et la seconde impure. Des objections à cette vue naïve sont ici considérées et réfutées. Concernant la preuve euclidienne, la question relève de la logique, notamment de la définissabilité arithmétique de l’addition en termes de successeur et de divisibilité telle que démontrée par Julia Robinson, tandis qu’en ce qui concerne la preuve topologique, la question relève de la sémantique, notamment pour tout ce qui touche au problème de savoir ce qui est « inclus » dans le contenu d’énoncés particuliers.A proof is pure, roughly, if it draws only on what is « close » or « intrinsic » to the statement being proved. The infinitude of prime numbers, a classical theorem of arithmetic, is a rich case study for philosophical investigation of purity. Two different proofs of this result are considered, namely the classical Euclidean proof and a more recent « topological » proof by Furstenberg. Naively the former would seem to be pure and the latter to be impure. Objections to these naive views are considered and met. In the case of the former the issue rests on logical matters, specifically the arithmetic definability of addition in terms of successor and divisibility shown by Julia Robinson, while in the case of the latter the issue rests on semantic matters, specifically with respect to what is « contained » in the content of particular statements. (shrink)

In this paper I begin by extending two results of Solovay; the first characterizes the possible Turing degrees of models of True Arithmetic (TA), the complete first-order theory of the standard model of PA, while the second characterizes the possible Turing degrees of arbitrary completions of P. I extend these two results to characterize the possible Turing degrees of m-diagrams of models of TA and of arbitrary complete extensions of PA. I next give a construction showing that the conditions Solovay (...) identified for his characterization of degrees of models of arbitrary completions of PA cannot be dropped (I showed that these conditions cannot be simplified in the paper. (shrink)

When mathematicians think of the philosophy of mathematics, they probably think of endless debates about what numbers are and whether they exist. Since plenty of mathematical progress continues to be made without taking a stance on either of these questions, mathematicians feel confident they can work without much regard for philosophical reflections. In his sharp–toned, sprawling book, David Corfield acknowledges the irrelevance of much contemporary philosophy of mathematics to current mathematical practice, and proposes reforming the subject accordingly.

Our visual experience seems to suggest that no continuous curve can cover every point of the unit square, yet in the late nineteenth century Giuseppe Peano proved that such a curve exists. Examples like this, particularly in analysis (in the sense of the infinitesimal calculus) received much attention in the nineteenth century. They helped instigate what Hans Hahn called a “crisis of intuition”, wherein visual reasoning in mathematics came to be thought to be epistemically problematic. Hahn described this “crisis” as (...) follows: Mathematicians had for a long time made use of supposedly geometric evidence as a means of proof in much too naive and much too uncritical a way, till the unclarities and mistakes that arose as a result forced a turnabout. Geometrical intuition was now declared to be inadmissible as a means of proof... (p. 67) Avoiding geometrical evidence, Hahn continued, mathematicians aware of this crisis pursued what he called “logicization”, “when the discipline requires nothing but purely logical fundamental concepts and propositions for its development.” On this view, an epistemically ideal mathematics would minimize, or avoid altogether, appeals to visual representations. This would be a radical reformation of past practice, necessary, according to its advocates, for avoiding “unclarities and mistakes” like the one exposed by Peano. (shrink)

This collection of essays explores what makes modern mathematics ‘modern’, where ‘modern mathematics’ is understood as the mathematics done in the West from roughly 1800 to 1970. This is not the trivial matter of exploring what makes recent mathematics recent. The term ‘modern’ (or ‘modernism’) is used widely in the humanities to describe the era since about 1900, exemplified by Picasso or Kandinsky in the visual arts, Rilke or Pound in poetry, or Le Corbusier or Loos in architecture (a building (...) by the latter graces the cover of this book’s dust jacket). (shrink)

Why do mathematics often give several proofs of the same theorem? This is the question raised in this article, introducing the notion of an epistemic ideal and discussing two such ideals, the explanatoriness and purity of proof.

La ciudad y los perros ha sido expuesta para el análisis de la comunidad hermenéutica durante más de cincuenta años. En ese sentido, es insoslayable recurrir al criterio sistematizador que fundamenta Hans-Georg Gadamer en su texto Verdad y método, que es de utilidad para catalogar y criticar condicionalmente las propuestas que se han desarrollado en torno a la diversidad de representaciones literarias que han sido manifestadas en este libro. Para la efectividad de este trabajo, se asume que este objeto de (...) estudio está comprendido en función de los siguientes tratamientos: la percepción de la realidad real en la obra literaria, su clasificación autobiográfica, la articulación del lenguaje como estilo, la ironía como estrategia discursiva y canalizadora de la violencia y, para terminar, la técnica del final abierto con respecto a la muerte del personaje Ricardo Arana (el Esclavo). Con estos seis planteamientos enfocados desde lo hermenéutico, se pretende producir la confrontación y el diálogo intertextual con los aportes referenciados, con el propósito de que resulte utópica la configuración de un panorama exégeta de la primera novela de Mario Vargas Llosa. (shrink)

Review of Dowek, Gilles, Computation, Proof, Machine, Cambridge University Press, Cambridge, 2015. Translation of Les Métamorphoses du calcul, Le Pommier, Paris, 2007. Translation from the French by Pierre Guillot and Marion Roman.

We review Solomon Feferman's 1998 essay collection In The Light of Logic (Oxford University Press).

Inspired by Castañeda (1966, 1968), Perry (1979) and Lewis (1979) showed that a specific variety of singular thoughts, thoughts about oneself “as oneself” – de se thoughts, as Lewis called them – raise special issues, and they advanced rival accounts. Their suggestive examples raise the problem of de se thought – to wit, how to characterize it so as to give an accurate account of the data, tracing its relations to singular thoughts in general. After rehearsing the main tenets of (...) two contrasting accounts – a Lewisian one and a Perrian one – in the first section of this paper, in the second I will present a proposal of my own, which is a specific elaboration of the Perrian account. In the first section I will indicate some weaknesses of Perry’s presentation of his view; the proposal I will articulate in the second overcomes them. I will conclude with a brief discussion of reasons for preferring one or another account, in particular regarding the issue of the communication of de se thoughts. (shrink)

This essay involves exploration of certain repercussions of Bernard Williams’ view that there is, in Wittgenstein’s later work, a transcendental idealism akin to that found in the Tractatus—sharing with it the feature that it cannot be satisfactorily stated. It is argued that, if Williams is right, then Wittgenstein’s later work precludes a philosophically substantial theory of meaning; for such a theory would force us to try to state the idealism. In a postscript written for the reprint of the essay, reasons (...) are given for thinking that Williams is not right: Wittgenstein’s later work actually helps us to repudiate as ill-conceived all those questions whose answers invite us to embrace any such idealism. But the main thesis of the essay remains intact. Indeed the idea that Wittgenstein’s later work precludes a philosophically substantial theory of meaning is reinforced. (shrink)

Descriptive accounts of the nature of explanation in neuroscience and the global goals of such explanation have recently proliferated in the philosophy of neuroscience and with them new understandings of the experimental practices of neuroscientists have emerged. In this paper, I consider two models of such practices; one that takes them to be reductive; another that takes them to be integrative. I investigate those areas of the neuroscience of learning and memory from which the examples used to substantiate these models (...) are culled, and argue that the multiplicity of experimental protocols used in these research areas presents specific challenges for both models. In my view, these challenges have been overlooked largely because philosophers have hitherto failed to pay sufficient attention to fundamental features of experimental practice. I demonstrate that when we do pay attention to such features, evidence for reduction and integrative unity in neuroscience is simply not borne out. I end by suggesting some new directions for the philosophy of neuroscience that pertain to taking a closer look at the nature of neuroscientific experiments. (shrink)

The chapter introduces and characterizes the notion of fittingness. It charts the history of the relation and its relevance to contemporary debates in normative and metanormative philosophy and proceeds to survey issues to do with fittingness covered in the volume’s chapters, including the nature and epistemology of fittingness, the relations between fittingness and reasons, the normativity of fittingness, fittingness and value theory, and the role of fittingness in theorizing about responsibility. The chapter concludes with a brief discussion of issues to (...) do with fittingness that aren’t covered extensively by the volume’s chapters in order to indicate avenues for further research. (shrink)

Al final de su libro “La conciencia inexplicada”, Juan Arana señala que la nomología, explicación según las leyes de la naturaleza, requiere de una nomogonía, una consideración del origen de las leyes. Es decir, que el orden que observamos en el mundo natural requiere una instancia previa que ponga ese orden específico. Sabemos que desde la revolución científica la mejor manera de explicar dicha nomología ha sido mediante las matemáticas. Sin embargo, en las últimas décadas se han presentado algunas (...) propuestas basadas en modelos matemáticos que fundamentarían muchos aspectos de la realidad. Dos claros ejemplos provienen de Roger Penrose y Max Tegmark. Esto lleva a pensar en una posición no solo nomológica sino además nomogónica de la matemática. ¿Puede la Naturaleza estar fundada por las matemáticas como señalan algunos físico-matemáticos? Y en ese caso, ¿sería pertinente buscar una nomo-génesis de esta índole en la constitución de la conciencia? -/- At the end of his book “La conciencia inexplicada”, Juan Arana points out that nomology, explanation according to the laws of nature requires a nomogony, an account of the origin of the laws. This means that the order that we can observe in the natural World demands something prior to posit that specific order. Since the scientific revolution we know that the best way to explain that nomology has been through mathematics. Anyway, in recent decades a number of proposals based on mathematical models that found many aspects of reality has been offered. Two clear examples come from Roger Penrose and Max Tegmark. This drives us to think of a position of mathematics as not only nomological but also nomogonical. Can Nature be founded by mathematics as some physicists and mathematicians point out? And, in this case, would be relevant this kind of approach to search a nomo-genesis in the constitution of consciousness? (shrink)

There is a major debate as to whether there are non-causal mathematical explanations of physical facts that show how the facts under question arise from a degree of mathematical necessity considered stronger than that of contingent causal laws. We focus on Marc Lange’s account of distinctively mathematical explanations to argue that purported mathematical explanations are essentially causal explanations in disguise and are no different from ordinary applications of mathematics. This is because these explanations work not by appealing to what the (...) world must be like as a matter of mathematical necessity but by appealing to various contingent causal facts. (shrink)

This paper proposes a view of time that takes passage to be the most basic temporal notion, instead of the usual A-theoretic and B-theoretic notions, and explores how we should think of a world that exhibits such a genuine temporal passage. It will be argued that an objective passage of time can only be made sense of from an atemporal point of view and only when it is able to constitute a genuine change of objects across time. This requires that (...) passage can flip one fact into a contrary fact, even though neither side of the temporal passage is privileged over the other. We can make sense of this if the world is inherently perspectival. Such an inherently perspectival world is characterized by fragmentalism, a view that has been introduced by Fine in his ‘Tense and Reality’ (2005). Unlike Fine's tense-theoretic fragmentalism though, the proposed view will be a fragmentalist view based in a primitive notion of passage. (shrink)

Se dice que el utilitarismo es incompatible con la defensa de los derechos humanos, pues la búsqueda del mayor bien para el mayor número que prescribe el utilitarismo, puede exigir, en ocasiones, pasar por encima de los derechos. Sin embargo, quizá sea posible ofrecer una solución al conflicto presentando una doctrina utilitarista, reconocible como tal, que sea lo suficientemente amplia como para dar cabida a los derechos. La presente obra tiene como objeto exponer la doctrina de John Stuart Mill como (...) buen ejemplo de cómo es posible llevar a cabo esta tarea. (shrink)

Earthbodies describes how our bodies are open circuits to a sensual magic and planetary care that when closed off leads to disastrous detours, such as illness, ...

This paper continues developing the theory of everything consistent with the Presentist Fragmentalist interpretation of quantum mechanics.

This short paragraph reminds us, humans, that our own activities, past and present, have triggered many of the grave environmental problems we have been facing.

A focussed issue of The Reasoner on the topic of 'Infinitary Reasoning'. Owen Griffiths and A.C. Paseau were the guest editors.

Despite their purported demographic and institutional decline, White evangelical voters were instrumental in the election of Donald Trump in 2016, and even more so in his 2020 loss. The story of Trump’s electoral successes among Christian voters in the last two elections is in large part the story of religious nationalism—and White Christian nationalism in particular—because Trump personifies the convergence of nationalism-infused forms of messianism and apocalypticism intrinsic to White evangelicalism, which culminate in QAnon cultic ideology. However, these same ethnoreligious/nationalist (...) patterns and logics extend much further back than Trump’s insurgent candidacy. This chapter traces the recurring, resurgent patterns of “zombie nationalism” among White evangelical Christians in the United States over the last half century that emerged in response to periods of significant societal change and certain recurring sociopolitical issues. In particular, alongside established elective affinities around ethnicity (whiteness) and religion (Christianity), this chapter makes the case for incorporating gender and sexual politics as key factors in the articulation and legitimation of religious nationalism in the United States. White Christian nationalism tends to reemerge as a salient political force during periods of rapid social change and diversification, driven by racialized religious grievances symptomatic of Nietzsche’s concept of ressentiment, or the paradoxical internalization and reprojection of a person’s or group’s perceived endangerment, victimhood, and/or suffering, in order to gain power. Drawing on examples of marriage equality and reproductive rights, this chapter demonstrates how an understanding of sexual politics is key to both apprehending and breaking the cyclical reanimation of White Christian nationalism. Escaping the nihilistic impulses driving these cycles will require White evangelicals to develop new hermeneutical tools capable of transforming the exclusionary patterns of racism, ethnocentrism, heteronormativity, and patriarchy that fuel the engine of ressentiment animating zombie nationalism. (shrink)

In this paper we apply the popular Best System Account of laws to typical eternal worlds – both classical eternal worlds and eternal worlds of the kind posited by popular contemporary cosmological theories. We show that, according to the Best System Account, such worlds will have no laws that meaningfully constrain boundary conditions. It’s generally thought that lawful constraints on boundary conditions are required to avoid skeptical arguments. Thus the lack of such laws given the Best System Account may seem (...) like a severe problem for the view. We show, however, that at eternal worlds, lawful constraints on boundary conditions do little to help fend off skeptical worries. So with respect to handling these skeptical worries, the proponent of the Best System Account is no worse off than their competitors. (shrink)

One might be inclined to assume, given the mouse donning its cover, that the behavior of interest in Nicole Nelson's book Model Behavior (2018) is that of organisms like mice that are widely used as “stand-ins” for investigating the causes of human behavior. Instead, Nelson's ethnographic study focuses on the strategies adopted by a community of rodent behavioral researchers to identify and respond to epistemic challenges they face in using mice as models to understand the causes of disordered human behaviors (...) associated with mental illness. Although Nelson never explicitly describes the knowledge production activities in which her behavioral geneticist research subjects engage as “exemplary”, the question of whether or not these activities constitute “model behavior(s)”—generalizable norms for engaging in scientific research—is one of the many thought-provoking questions raised by her book. As a philosopher of science interested in this question, I take it up here. (shrink)

The question I wish to explore is this: Does idealism conflict with common sense? Unfortunately, the answer I give may seem like a rather banal one: It depends. What do we mean by ‘idealism’ and ‘common sense?’ I distinguish three main varieties of idealism: absolute idealism, Berkeleyan idealism, and dualistic idealism. After clarifying what is meant by common sense, I consider whether our three idealisms run afoul of it. The first does, but the latter two don’t. I conclude that while (...) Moore’s famous common sense critique is sound against external world skepticism, against Berkeleyan idealism and dualist idealism it is unavailing. (shrink)

The paper proposes an anthropocentric argument for veganism based on a speciesistic premise that most carnists likely affirm: human flourishing should be promoted. I highlight four areas of human suffering promoted by a carnistic diet: (1) health dangers to workers (both physical and psychological), (2) economic dangers to workers, (3) physical dangers to communities around slaughterhouses, and (4) environmental dangers to communities-at-large. Consequently, one could ignore the well-being of non-human animals and nevertheless recognize significant moral failings in the current standard (...) system of meat production. (shrink)

It is tempting to think that all of normativity, such as our reasons for action, what we ought to do, and the attitudes that it is fitting for us to have, derives from what is valuable. But value-first approaches to normativity have fallen out of favour as the virtues of reasons- and fittingness-first approaches to normativity have become clear. On these views, value is not explanatorily prior to reasons and fit; rather the value of things is understood in terms of (...) the pro-attitudes it is fitting to have, or that we have reasons to have, towards these things. The value-first accounts of reasons and fit that have been proposed have been direct accounts of reasons and fit. On these views, the fittingness of an attitude is explained in terms of the value of having it or the value of the object of that attitude. This chapter details and surveys these problems, explaining which are yet to be overcome, and explaining which problems direct value-first accounts can overcome. This chapter then explores the prospects of an indirect value-first account of reasons and fit. It argues that it avoids the problems that direct value-first accounts face and may be as explanatorily powerful as fittingness- and reasons-first accounts of value and normativity more generally. (shrink)

The Philosophy of Mind consists of problems concerning aspects and properties of the human mind. The most important of these problems is that of the relation between mind and body, or, more generally, between mental and physical phenomena. Usually referred to as the "mind-body problem", this has been one of the fundamental problems in Philosophy since Descartes (1596-1650) and his critics introduced it four centuries ago. The mental seems, at first glance, completely different from the physical. Physical properties are public, (...) i.e. equally observable by everyone, but mental properties are not. It can be deduced that someone feels pain by his behaviour, but only that person can feel it directly. Conscious mental events are private in the sense that the subject has privileged access to them that no one has for the physical. Conscious experiences, such as the smell of jasmine, are completely different from the configurations and movements, however complex, of particles, atoms and molecules, or the physical changes of cells and tissues. Despite this, conscious phenomena do not seem to arise out of nothing, but from physical-biological processes in the body, especially from neural processes in the brain. But how can physical-biological systems have states such as thoughts, fears and hopes? (shrink)

The present narrative review seeks to unravel where we are now, and where we need to go to delineate the active ingredients in psychotherapy delivered by conversational agents (e.g., chatbots). While psychotherapy delivered by conversational agents has shown promising effectiveness for depression, anxiety, and psychological distress across several randomized controlled trials, little emphasis has been placed on the therapeutic processes in these interventions. The theoretical framework of this narrative review is grounded in prominent perspectives on the active ingredients in psychotherapy. (...) Based on search terms derived from various theoretical perspectives, we conducted a systematic literature search of four scientific databases and identified 17 studies. Across the selected studies, three themes emerged: relationship variables, emotional venting, and cognitive factors. While methodological issues compromise the epistemic value of this evidence base, core questions also remain to be answered. Such questions include, but are not limited to, whether humans can form affectionate bonds to inanimate beings and whether these kind of mental health treatments should be understood as psychotherapy or something else. Researchers should therefore be cautious when applying theories of psychotherapy in the realm of conversational agents. We conclude the paper by introducing recommendations for future research, which we hope will help instigate methodologically sound studies in this field. (shrink)

In this chapter we first elucidate the subjective flow of time particularly as developed by Husserl. We next discuss time and timescales in predictive processing. We then consider how the phenomenological analysis of time can be naturalized within a predictive processing framework. In the final section, we develop an analysis of the temporal disturbances characteristic of depression using the resources of both phenomenology and predictive processing.

I argue against the Standard View of ignorance, according to which ignorance is defined as equivalent to lack of knowledge, that cases of environmental epistemic luck, though entailing lack of knowledge, do not necessarily entail ignorance. In support of my argument, I contend that in cases of environmental luck an agent retains what I call epistemic access to the relevant fact by successfully exercising her epistemic agency and that ignorance and non-ignorance, contrary to what the Standard View predicts, are not (...) modal in the sense that knowledge is. After responding to objections, I conclude by sketching an alternative account of ignorance centered on the notions of epistemic access and epistemic agency. (shrink)

In De Anima II.6, Aristotle divides the objects of perception into three kinds: “special perceptibles" (idia aisthêta) such as colours, sounds and flavours, which can be perceived in their own right by only one sense; “common perceptibles" (koina aisthêta) such as shapes, sizes and movements, which can be perceived in their own right by multiple senses; and “incidental perceptibles,” such as the son of Diares, which can be perceived only “incidentally” (kata sumbebêkos). In this paper, I examine this division of (...) perceptibles and consider what it amounts to. First, I argue that Aristotle’s distinction between perceiving something in its own right (kath' hauto) and perceiving it incidentally marks a causal distinction: what is perceived in its own right causes perception as such, whereas what is perceived incidentally coincides with what is perceived in its own right. Second, I argue that for Aristotle special perceptibles, unlike common perceptibles, belong to homogeneous bodies on account of their chemical composition. Finally, I explain the primacy Aristotle assigns to special perceptibles and his claim that perception of them alone is free from error. I conclude with some brief remarks on Aristotle and the primary/secondary quality distinction. (shrink)

Today, the Internet is a rich source of study materials, and Google Scholar offers free access to a large number of scientific articles. There are excellent research publications available in many more databases. Students have the option of easily copying the material. Reusing, paraphrasing, patchwriting, and ghostwriting without citing the original documents are plagiarism. Plagiarism is increasing in academics, particularly in research. This study aims to study the awareness of plagiarism and to analyze the reasons for plagiarism. The study samples (...) are the student teachers in India. For this study, we used a survey method, and the author prepared a questionnaire to collect data from the student teachers. Study respondents are the student teachers of the Regional Institute of Education Mysore; Purposive sampling was used to select samples. The total number of study respondents is 207. The findings of the study revealed that over 70 per cent of respondents mentioned reasons for plagiarism as lack of relevant literature studying, lack of preparation and time, difficulty checking every piece of work, do not know the manual citation style, lack of knowledge about bibliographic management software and also they stated that getting easily available materials on the internet is also a reason for plagiarism. The study recommends that teachers teach or conduct awareness programs on plagiarism, avoiding plagiarism, citation style, and software. (shrink)

"This self-consistent evolution of the fragments, their causal relationships, and their quantum properties is at the heart of the FCQG-SM framework, providing a unified description of quantum mechanics, general relativity, and the Standard Model.".

This is the prologue to a collection of essays on eugenics and psychiatry.

The sense of smell occupies a peculiar intermediate position within Aristotle's theory of sense perception: odours, like colours and sounds, are perceived at a distance through an external medium of air or water; yet in their nature they are intimately related to flavours, the proper objects of taste, which for Aristotle is a form of touch. In this paper, I examine Aristotle's claims about odour and smell, especially in De Anima II.9 and De Sensu 5, to see what light they (...) shed on his theory of sense perception more generally. In the first half, I argue that neither of the two most influential recent ways of understanding Aristotle's theory of perception can adequately account for what he says about the sense of smell. In the second half, I offer my own positive account, considering and resolving various puzzles raised by Aristotle's claims about the nature of odour and its relation to flavour. Finally, I conclude that Aristotle's discussions of odour and smell suggest a plausible and interesting way of understanding the relationship, on his view, between ordinary, material changes in the sense organs and the activation of the capacity to perceive, considered merely as such. (shrink)

This paper continues and extensive exploration of the QG and TOE resulting from the PF interpretation of QM. Some highlights are an exploration of symmetries of the Standard Model, outlines of testable predictions of implications for QG, that this theory can simultaneously give an account of dark matter and dark energy, probabilities and statevector collapse vs. gravity, applications of the causal interaction tensor Cαβγδ(Fi, Fj). Note the first section mentions qualia but this is not a psychological theory this is an (...) ontic theory. (shrink)

Albert Einstein's bold assertion of the form-invariance of the equation of a spherical light wave with respect to inertial frames of reference became, in the space of six years, the preferred foundation of his theory of relativity. Early on, however, Einstein's universal light-sphere invariance was challenged on epistemological grounds by Henri Poincaré, who promoted an alternative demonstration of the foundations of relativity theory based on the notion of a light-ellipsoid. Drawing in part on archival sources, this paper shows how an (...) informal, international group of physicists, mathematicians, and engineers, including Einstein, Paul Langevin, Poincaré, Hermann Minkowski, Ebenezer Cunningham, Harry Bateman, Otto Berg, Max Planck, Max Laue, A. A. Robb, and Ludwig Silberstein, employed figures of light during the formative years of relativity theory in their discovery of the salient features of the relativistic worldview. (shrink)

This is the first in a series of papers developing a theory of quantum gravity that is consistent with the PF interpretation of quantum mechanics. "Key Features: Reconciles quantum theory, general relativity, and the PF interpretation in a common framework...".

A. A. Long, one of the world's leading writers on ancient philosophy, presents eighteen essays on the philosophers and schools of the Hellenistic and Roman periods--Epicureans, Stoics, and Sceptics. The discussion ranges over four centuries of innovative and challenging thought in ethics and politics, psychology, epistemology, and cosmology.