An analysis of the classical-quantum correspondence shows that it needs to identify a preferred class of coordinate systems, which defines a torsionless connection. One such class is that of the locally-geodesic systems, corresponding to the Levi-Civita connection. Another class, thus another connection, emerges if a preferred reference frame is available. From the classical Hamiltonian that rules geodesic motion, the correspondence yields two distinct Klein-Gordon equations and two distinct Dirac-type equations in a general metric, depending on the connection used. Each of (...) these two equations is generally-covariant, transforms the wave function as a four-vector, and differs from the Fock-Weyl gravitational Dirac equation (DFW equation). One obeys the equivalence principle in an often-accepted sense, whereas the DFW equation obeys that principle only in an extended sense. (shrink)

We will make a new approach for an effect known as “Dark Energy” by an effect on gravitational field. In an accelerated rocket, the dimensions of space towards movement due to ‘Lorentz Contraction’ are on continuous reduction. Using the equivalence principle, we presume that in the gravitational field, the same thing would happen. In this implicates in ‘dark energy effect’. The calculi show that in a 7%-contraction for each billion years would explain our observation of galaxies (...) in accelerated separation. (shrink)

The present document starts from the relative existence of the electromagnetic field, reaching through mental experiments to its connection with the gravitational field, without the necessity to resort to other space - time dimensions or supplementary "exotic" particles. The final conclusion is that the field "electro-gravitational" and electromagnetic field with accelerated source are two different manifestations of the same single field dynamic. Whilst demonstrating why there are light sources with "flee" towards the red (...) or blue of the light spectrum. (shrink)

When the density of the body becomes large enough, general relativity predicts the formation of a black hole. The neutron stars of about 1.4 solar masses and the black holes are the final stage for the evolution of the massive stars. Usually a black hole in a galaxy has played an important role in its formation and related cosmic structures. Such bodies provide an efficient mechanism for the emission of electromagnetic radiation and the formation of microquasars. Accretion can lead to (...) relativistic jets. General relativity allows the modeling of these phenomena, confirmed by observations. DOI: 10.13140/RG.2.2.33569.15202 . (shrink)

This book deals with Colombeau solutions to Einstein field equations in general relativity: Gravitational singularities, distributional SAdS BH spacetime-induced vacuum dominance. This book covers key areas of Colombeau nonlinear generalized functions, distributional Riemannian, geometry, distributional schwarzschild geometry, Schwarzschild singularity, Schwarzschild horizon, smooth regularization, nonsmooth regularization, quantum fields, curved spacetime, vacuum fluctuations, vacuum dominance etc. This book contains various materials suitable for students, researchers and academicians of this area.

In contemporary mathematics, a Colombeau algebra of Colombeau generalized functions is an algebra of a certain kind containing the space of Schwartz distributions. While in classical distribution theory a general multiplication of distributions is not possible, Colombeau algebras provide a rigorous framework for this. Remark 1.1.1.Such a multiplication of distributions has been a long time mistakenly believed to be impossible because of Schwartz’ impossibility result, which basically states that there cannot be a differential algebra containing the space of distributions and (...) preserving the product of continuous functions. However, if one only wants to preserve the product of smooth functions instead such a construction becomes possible, as demonstrated first by J.F.Colombeau [1],[2]. As a mathematical tool, Colombeau algebras can be said to combine a treatment of singularities, differentiation and nonlinear operations in one framework, lifting the limitations of distribution theory. These algebras have found numerous applications in the fields of partial differential equations, geophysics, microlocal analysis and general relativity so far. (shrink)

Gravitational decoherence (GD) refers to the effects of gravity in actuating the classical appearance of a quantum system. Because the underlying processes involve issues in general relativity (GR), quantum field theory (QFT), and quantum information, GD has fundamental theoretical significance. There is a great variety of GD models, many of them involving physics that diverge from GR and/or QFT. This overview has two specific goals along with one central theme:(i) present theories of GD based on GR and QFT (...) and explore their experimental predictions;(ii) place other theories of GD under the scrutiny of GR and QFT, and point out their theoretical differences. We also describe how GD experiments in space in the coming decades can provide evidence at two levels:(a) discriminate alternative quantum theories and non-GR theories;(b) discern whether gravity is a fundamental or an effective theory. (shrink)

The review of the theory of electromagnetic field together with the special and general theories of relativity has been made. The similar theory of gravitation has been presented which has the property of Lorentz-invariancy in its own representation in which the information is transferred at the speed of propagation of the gravitational field. Generalization of the specified gravitation theory on noninertial reference systems has been made with the help of the mathematical apparatus of the general relativity. It (...) allows to avoid some drawbacks of the standard general relativity theory and to expand its applicability. The possibility of complementary descriptions of the physical phenomena with the help of simultaneous use of the theories of gravitational and electromagnetic fields has been shown. (shrink)

Gravitational singularities in general relativity are spacetime locations where the gravitational field becomes infinite. Scalar invariant curves of spacetime include a measure of matter density. Some physicists and philosophers believe that because the density of matter tends to become infinite in singularity, spacetime laws are no longer valid there. A gravitational singularity almost universally accepted in astrophysics and cosmology as the earliest state of the universe, is the Big Bang. In this case also, the known laws (...) of physics are no longer valid. DOI: 10.13140/RG.2.2.24285.87523. (shrink)

It presents the basics of the “Relativistic theory of gravitation”, with the inclusion of original texts, from various papers, published between 1987 and 2009, by theirs authors: S. S Gershtein, A. A. Logunov, Yu. M. Loskutov and M. A. Mestvirishvili, additionally, together with the introductions, summaries and conclusions of the author of this paper. The “Relativistic theory of gravitation” is a gauge theory, compatible with the theories of quantum physics of the electromagnetic, weak and strong forces, which defines gravity as (...) the fourth force existing in nature, as a static field equipped with the transmitter particles of the virtual gravitons of spins 2 and 0, within the spirit of Galilei's principle of relativity, in his generalization of Poincaré's Special Relativity that allowed the authors to universalize that the physical laws of nature are complied with regardless of the frames of reference where they apply, integrated into the Grossmann-Einstein Entwurf theory, in its further development, by those authors, therefore, this theory preserves the conservation laws of energy-impulse and angular impulse of the gravitational field jointly to the other material fields existing in nature, in the Riemann's effective spacetime, through its identity with Minkowski's pseudo Euclidean spacetime. (shrink)

It presents the basics of the “Relativistic theory of gravitation”, with the inclusion of original texts, from various papers, published between 1987 and 2009, by theirs authors: S. S Gershtein, A. A. Logunov, Yu. M. Loskutov and M. A. Mestvirishvili, additionally, together with the introductions, summaries and conclusions of the author of this paper. The “Relativistic theory of gravitation” is a gauge theory, compatible with the theories of quantum physics of the electromagnetic, weak and strong forces, which defines gravity as (...) the fourth force existing in nature, as a static field equipped with the transmitter particles of the virtual gravitons of spins 2 and 0, within the spirit of Galilei's principle of relativity, in his generalization of Poincaré's Special Relativity that allowed the authors to universalize that the physical laws of nature are complied with regardless of the frames of reference where they apply, integrated into the Grossmann-Einstein Entwurf theory, in its further development, by those authors, therefore, this theory preserves the conservation laws of energy-impulse and angular impulse of the gravitational field jointly to the other material fields existing in nature, in the Riemann's effective spacetime, through its identity with Minkowski's pseudo Euclidean spacetime. (shrink)

Unifying physics by describing a variety of interactions – or even all interactions – within a common framework has long been an alluring goal for physicists. One of the most ambitious attempts at unification was made in the 1910s by Gustav Mie. Mie aimed to derive electromagnetism, gravitation, and aspects of the emerging quantum theory from a single variational principle and a well-chosen Lagrangian. Mie’s main innovation was to consider nonlinear field equations to allow for stable particle-like solutions (now (...) called solitons), and he clarified the use of variational principles in the context of special relativity. The following brief introduction to Mie’s work has three main objectives. The first is to explain how Mie’s project fit into the contemporary development of the electromagnetic world view. Part of Mie’s project was to develop a relativistic theory of gravitation as a consequence of his generalized electromagnetic theory, and our second goal is to briefly assess this work, which reflects the conceptual resources available for developing a new account of gravitation by analogy with electromagnetism. Finally, Mie was a vocal critic of other approaches to the problem of gravitation. Mie’s criticisms of Einstein, in particular, bring out the subtlety and novelty of the ideas that Einstein used to guide his development of general relativity. (shrink)

General Relativity’s Schwarzschild solution describes a spherically symmetric gravitational field as an utterly static thing. The Space Generation Model describes it as an absolutely moving thing. The light propagation time-delay experiment of Shapiro-Reasenberg [1] and the falling atomic clock experiment of Vessot-Levine [2] provide the ideal context for illustrating how, though the respective world views implied by these models are radically di fferent, they make nearly the same prediction for the results of these experiments.

General Relativity defines gravity like the metric of a Lorentzian manifold. Einstein formulated spacetime as quality structural of gravity, i.e, circular definition between gravity and spacetime, also Einstein denoted "Space and time are modes by which we think, not conditions under which we live" and “We denote everything but the gravitational field as matter”, therefore, spacetime is nothing and gravity in first approximation an effect of coordinates, and definitely a geometric effect. The mathematical model generates quantitative predictions coincident (...) in high grade with observations without physical meaning. Philosophy intervened: in Substantivalism, spacetime exists in itself while in Relationalism as metrical relations. But, it does not know what spacetime. The outcomes of model have supported during a century, validity of the General Relativity, interpreted arbitrarily. Einstein formulated, from quadrupoles of energy, the formation of ripples in spacetime propagating as gravitational waves abandoned, in 1938, when he said that they do not exist. LIGO announced the first detection of gravitational waves from a pair of merging black holes. They truly are waves of quantum vacuum. (shrink)

This article had its beginning with Einstein's 1919 paper "Do gravitational fields play an essential role in the structure of elementary particles?" Together with General Relativity's statement that gravity is not a pull but is a push caused by the curvature of space-time, a hypothesis for Earth's ocean tides was developed that does not solely depend on the Sun and Moon as Kepler and Newton believed. It also borrows from Galileo. The breakup of planets and asteroids by white dwarfs, (...) neutron stars or black holes is popularly ascribed by today's science to tidal forces (gravitation emanating from the stellar body and having a greater effect on the near side of a planet/asteroid than the farthest side). Remembering Einstein's 1919 paper, it was apparent that my revised idea of tidal forces improves on current accounts because it views matter and mass as unified with space-time whose curvature is gravitation. Unification is a necessity for modern science's developing view of one united and entangled universe – expressed in the Unified Field Theory, the Theory of Everything, String theory and Loop Quantum Gravity. The writing of this article was also assisted by visualizing the gravitational fields forming space-time being themselves formed by a multitude of weak and presently undetectable gravitational waves. The final part of this article concludes that the section BITS AND TOPOLOGY will lead to the conclusions in ETERNAL LIFE, WORLD PEACE AND PHYSICS' UNIFICATION. The final part also compares cosmology to biological enzymes and biology's substrate of reacting "chemicals" - using virtual particles, hidden variables, gravitation, electromagnetism, electronics’ binary digits, plus topology’s Mobius strip and figure-8 Klein bottle. The product is mass - enzyme, substrate and product are all considered mathematical in nature. Also, gravitation and electromagnetism are united using logic and topology – showing there’s no need in this article for things like mathematical formalism, field equations or tensor calculus. (shrink)

Right after the elaboration and success of general relativity (GR), alternative theories for gravity began to appear. In order to verify and classify all these theories, specific tests have been developed, based on self-consistency and on completeness. In the field of experimental gravity, one of the important applications is formalism. For the evaluation of gravity models, several sets of tests have been proposed. Parameterized post-Newtonian formalism considers approximations of Einstein's gravity equations by the lowest order deviations from Newton's law (...) for weak fields. DOI: 10.13140/RG.2.2.25994.82881. (shrink)

Abstract: Standing half wave particles at light speed twice in expansion-contraction comprise a static universe where two transverse fields 90° out of phase are the square of distance from each other. The universe has a static concept of time since the infinite universe is a static universe without a beginning or end. The square of distance is a point of reversal in expansion-contraction between the fields as a means to conserve energy. Photons on expansion in the electric field create (...) matter energy while photons on contraction in the magnetic field create light energy and gravitational pull toward the higher frequency energy. Also, the universe with matter has a moving physical concept of time from gravitational pull on expansion-contraction. (shrink)

It is now well-known that Newton–Cartan theory is the correct geometrical setting for modelling the quantum Hall effect. In addition, in recent years edge modes for the Newton–Cartan quantum Hall effect have been derived. However, the existence of these edge modes has, as of yet, been derived using only orthodox methodologies involving the breaking of gauge-invariance; it would be preferable to derive the existence of such edge modes in a gauge-invariant manner. In this article, we employ recent work by Donnelly (...) and Freidel in order to accomplish exactly this task. Our results agree with known physics, but afford greater conceptual insight into the existence of these edge modes: in particular, they connect them to subtle aspects of Newton–Cartan geometry and pave the way for further applications of Newton–Cartan theory in condensed matter physics. (shrink)

Incoherence is usually regarded as a bad thing. Incoherence suggests irrationality, confusion, paradox. Incoherentism disagrees: incoherence is not always a bad thing, sometimes we ought to be incoherent. If correct, Incoherentism has important and controversial implications. It implies that rationality does not always require coherence. Dilemmism and Incoherentism both embrace conflict in epistemology. After identifying some important differences between these two ways of embracing conflict, I offer some reasons to prefer Incoherentism over Dilemmism. Namely, that Incoherentism allows us to deliberate (...) about what we ought to believe using ordinary epistemology, and it does a better job of accommodating the positive features of incoherence. (shrink)

Abstract: Standing half wave particles at light speed twice in expansion-contraction comprise a static universe where two transverse fields 90° out of phase are the square of distance from each other. The universe has a static concept of time since the infinite universe is a static universe without a beginning or end. The square of distance is a point of reversal in expansion-contraction between the fields as a means to conserve energy. Photons on expansion in the electric field create (...) matter energy while photons on contraction in the magnetic field create light energy and gravitational pull toward the higher frequency energy. Also, the universe with matter has a moving physical concept of time from gravitational pull on expansion-contraction. (shrink)

Since its final version and publication in 1916, it is widely reported in several specialized textbooks and research articles that general relativity theory may be reduced to the Newton's gravity theory in the limit of a weak gravitational field and slow motion of the material bodies. In the present paper, the so-called reducibility of Einstein's geodesic and field equations to Newton's equation of motion and Poisson's gravitational potential equation, respectively, is scrutinized and proven to be mathematically, (...) physically and dimensionally wrong and also the geometrization of gravity is not really necessary. (shrink)

Spanish translation of Field, S. L. (2014). 'Hobbes and the question of power'. Journal of the History of Philosophy, 52(1), 61-86. Thomas Hobbes has been hailed as the philosopher of power par excellence; however, I demonstrate that Hobbes’s conceptualization of political power is not stable across his texts. Once the distinction is made between the authorized and the effective power of the sovereign, it is no longer sufficient simply to defend a doctrine of the authorized power of the sovereign; (...) such a doctrine must be robustly complemented by an account of how the effective power commensurate to this authority might be achieved. Nor is this straightforward: for effective political power can fluctuate, sometimes severely. In this light, the prevalent juridical reading of Hobbes’s political philosophy is inadequate. (shrink)

Is logic normative for belief? A standard approach to answering this question has been to investigate bridge principles relating claims of logical consequence to norms for belief. Although the question is naturally an epistemic one, bridge principles have typically been investigated in isolation from epistemic debates over the correct norms for belief. In this paper we tackle the question of whether logic is normative for belief by proposing a Kripkean model theory accounting for the interaction between logical, doxastic, epistemic and (...) deontic notions and using this model theory to show which bridge principles are implied by epistemic norms that we have independent reason to accept, for example, theknowledge normand thetruth norm. We propose a preliminary theory of the interaction between logical, doxastic, epistemic and deontic notions that has among its commitments bridge principles expressing how logic is normative for belief. We also show how our framework suggests that logic is exceptionally normative. (shrink)

In this chapter, the author articulates two Hobbesian models of interpersonal power relations that can be used to understand gender relations: what he will call the dominion model and the deference model. Hobbes himself analyses the relation between men and women through the dominion model. The author lays out Hobbes's model of interpersonal power relations as dominion, including his application of the model to the case of gender relations. The centerpiece of Hobbes's method is his “state of nature” thought experiment. (...) Hobbes's analysis is radical insofar as he understands familial relations according to the general model of interpersonal relations just outlined, without any reference to sui generis principles. The author indicates some shortcomings of the dominion model for grasping contemporary social life. The much‐celebrated social contract between equal male citizens is quietly underpinned by the sexual contract, a contract of domination between men and women. (shrink)

The collaboration of Language and Computing nv (L&C) and the Institute for Formal Ontology and Medical Information Science (IFOMIS) is guided by the hypothesis that quality constraints on ontologies for software ap-plication purposes closely parallel the constraints salient to the design of sound philosophical theories. The extent of this parallel has been poorly appreciated in the informatics community, and it turns out that importing the benefits of phi-losophical insight and methodology into application domains yields a variety of improvements. L&C’s LinKBase® (...) is one of the world’s largest medical domain ontologies. Its current primary use pertains to natural language processing ap-plications, but it also supports intelligent navigation through a range of struc-tured medical and bioinformatics information resources, such as SNOMED-CT, Swiss-Prot, and the Gene Ontology (GO). In this report we discuss how and why philosophical methods improve both the internal coherence of LinKBase®, and its capacity to serve as a translation hub, improving the interoperability of the ontologies through which it navigates. (shrink)

What are people who disagree about logic disagreeing about? The paper argues that (in a wide range of cases) they are primarily disagreeing about how to regulate their degrees of belief. An analogy is drawn between beliefs about validity and beliefs about chance: both sorts of belief serve primarily to regulate degrees of belief about other matters, but in both cases the concepts have a kind of objectivity nonetheless.

The Enkratic Principle enjoys something of a protected status as a requirement of rationality. I argue that this status is undeserved, at least in the epistemic domain. Compliance with the principle should not be thought of as a requirement of epistemic rationality, but rather as defeasible indication of epistemic blamelessness. To show this, I present the Puzzle of Inconsistent Requirements, and argue that the best way to solve it is to distinguish two kinds of epistemic evaluation – requirement evaluations and (...) appraisal evaluations. This allows us to solve the puzzle while accommodating traditional motivations for thinking of the Enkratic Principle as a requirement of rationality. (shrink)

Can we make mistakes about what rationality requires? A natural answer is that we can, since it is a platitude that rational belief does not require truth; it is possible for a belief to be rational and mistaken, and this holds for any subject matter at all. However, the platitude causes trouble when applied to rationality itself. The possibility of rational mistakes about what rationality requires generates a puzzle. When combined with two further plausible claims – the enkratic principle, and (...) the claim that rational requirements apply universally – we get the result that rationality generates inconsistent requirements. One popular and attractive solution to the puzzle denies that it is possible to make rational mistakes about what rationality requires. I show why (contra Titelbaum (2015b), and Littlejohn (2015)) this solution is doomed to fail. (shrink)

Any theory of truth must find a way around Curry’s paradox, and there are well-known ways to do so. This paper concerns an apparently analogous paradox, about validity rather than truth, which JC Beall and Julien Murzi call the v-Curry. They argue that there are reasons to want a common solution to it and the standard Curry paradox, and that this rules out the solutions to the latter offered by most “naive truth theorists.” To this end they recommend a radical (...) solution to both paradoxes, involving a substructural logic, in particular, one without structural contraction. In this paper I argue that substructuralism is unnecessary. Diagnosing the “v-Curry” is complicated because of a multiplicity of readings of the principles it relies on. But these principles are not analogous to the principles of naive truth, and taken together, there is no reading of them that should have much appeal to anyone who has absorbed the morals of both the ordinary Curry paradox and the second incompleteness theorem. (shrink)

This book offers a detailed study of the political philosophies of Thomas Hobbes and Benedict de Spinoza, focussing on their concept of power as potentia, concrete power, rather than power as potestas, authorised power. The focus on power as potentia generates a new conception of popular power. Radical democrats–whether drawing on Hobbes's 'sleeping sovereign' or on Spinoza's 'multitude'–understand popular power as something that transcends ordinary institutional politics, as for instance popular plebsites or mass movements. However, the book argues that these (...) understandings reflect a residual scholasticism which Hobbes and Spinoza ultimately repudiate. Instead, on the book's revisionist conception, a political phenomenon should be said to express popular power when it is both popular (it eliminates oligarchy and encompasses the whole polity), and also powerful (it robustly determines political and social outcomes). Two possible institutional forms that this popular power might take are distinguished: Hobbesian repressive egalitarianism, or Spinozist civic strengthening. But despite divergent institutional proposals, the book argues that both Hobbes and Spinoza share the conviction that there is nothing spontaneously egalitarian or good about human collective existence. From this point of view, the book accuses radical democrats of pernicious romanticism; the slow, meticulous work of organizational design and maintenance is the true centre of popular power. Three minute video summary available via HPBin3. Extended discussion on The Political Theory Review podcast. First chapter open access available via Oxford Scholarship Online. Videos of book talks at National University of Singapore (Centre for Legal Theory) and Universidad de Buenos Aires (Instituto de Investigaciones Gino Germani) available via YouTube. (See links below.). (shrink)

This paper extends Kripke’s theory of truth to a language with a variably strict conditional operator, of the kind that Stalnaker and others have used to represent ordinary indicative conditionals of English. It then shows how to combine this with a different and independently motivated conditional operator, to get a substantial logic of restricted quantification within naive truth theory.

De Re Significance accounts of moral appraisal consider an agent’s responsiveness to a particular kind of reason, normative moral reasons de re, to be of central significance for moral appraisal. Here, I argue that such accounts find it difficult to accommodate some neuroatypical agents. I offer an alternative account of how an agent’s responsiveness to normative moral reasons affects moral appraisal – the Reasonable Expectations Account. According to this account, what is significant for appraisal is not the content of the (...) reasons an agent is responsive to, but rather whether she is responsive to the reasons it is reasonable to expect her to be responsive to, irrespective of their content. I argue that this account does a better job of dealing with neuroatypical agents, while agreeing with the De Re Significance accounts on more ordinary cases. (shrink)

I argue that there are some situations in which it is praiseworthy to be motivated only by moral rightness de dicto, even if this results in wrongdoing. I consider a set of cases that are challenging for views that dispute this, prioritising concern for what is morally important in moral evaluation. In these cases, the agent is not concerned about what is morally important, does the wrong thing, but nevertheless seems praiseworthy rather than blameworthy. I argue that the views under (...) discussion cannot accommodate this, and should be amended to recognise that it is often praiseworthy to be motivated to do what is right. (shrink)

Is normative uncertainty like factual uncertainty? Should it have the same effects on our actions? Some have thought not. Those who defend an asymmetry between normative and factual uncertainty typically do so as part of the claim that our moral beliefs in general are irrelevant to both the moral value and the moral worth of our actions. Here I use the consideration of Jackson cases to challenge this view, arguing that we can explain away the apparent asymmetries between normative and (...) factual uncertainty by considering the particular features of the cases in greater detail. Such consideration shows that, in fact, normative and factual uncertainty are equally relevant to moral assessment. (shrink)

I argue for the unexceptionality of evidence about what rationality requires. Specifically, I argue that, as for other topics, one’s total evidence can sometimes support false beliefs about this. Despite being prima facie innocuous, a number of philosophers have recently denied this. Some have argued that the facts about what rationality requires are highly dependent on the agent’s situation and change depending on what that situation is like. (Bradley 2019). Others have argued that a particular subset of normative truths, those (...) concerning what epistemic rationality requires, have the special property of being ‘fixed points’—it is impossible to have total evidence that supports false belief about them. (Smithies 2012; Titelbaum 2015). Each of these kinds of exceptionality permits a solution to downstream theoretical problems that arise from the possibility of evidence supporting false belief about requirements of rationality. However, as I argue here, they incur heavy explanatory burdens that we should avoid. (shrink)

Thomas Hobbes has been hailed as the philosopher of power par excellence; however, I demonstrate that Hobbes’s conceptualization of political power is not stable across his texts. Once the distinction is made between the authorized and the effective power of the sovereign, it is no longer sufficient simply to defend a doctrine of the authorized power of the sovereign; such a doctrine must be robustly complemented by an account of how the effective power commensurate to this authority might be achieved. (...) Nor is this straightforward: for effective political power can fluctuate, sometimes severely. In this light, the prevalent juridical reading of Hobbes’s political philosophy is inadequate. (shrink)

The naive theory of properties states that for every condition there is a property instantiated by exactly the things which satisfy that condition. The naive theory of properties is inconsistent in classical logic, but there are many ways to obtain consistent naive theories of properties in nonclassical logics. The naive theory of classes adds to the naive theory of properties an extensionality rule or axiom, which states roughly that if two classes have exactly the same members, they are identical. In (...) this paper we examine the prospects for obtaining a satisfactory naive theory of classes. We start from a result by Ross Brady, which demonstrates the consistency of something resembling a naive theory of classes. We generalize Brady’s result somewhat and extend it to a recent system developed by Andrew Bacon. All of the theories we prove consistent contain an extensionality rule or axiom. But we argue that given the background logics, the relevant extensionality principles are too weak. For example, in some of these theories, there are universal classes which are not declared coextensive. We elucidate some very modest demands on extensionality, designed to rule out this kind of pathology. But we close by proving that even these modest demands cannot be jointly satisfied. In light of this new impossibility result, the prospects for a naive theory of classes are bleak. (shrink)

While non-classical theories of truth that take truth to be transparent have some obvious advantages over any classical theory that evidently must take it as non-transparent, several authors have recently argued that there's also a big disadvantage of non-classical theories as compared to their “external” classical counterparts: proof-theoretic strength. While conceding the relevance of this, the paper argues that there is a natural way to beef up extant internal theories so as to remove their proof-theoretic disadvantage. It is suggested that (...) the resulting internal theories should seem preferable to their external counterparts. (shrink)

In May 2021, Alan Bechaz, Racher Du, Will Cailes and Thomas Spiteri interviewed Sandra Leonie Field for UPJA’s Conversations from the Region. A series of discussions that invites philosophers from or based in Australasia to share their student and academic experiences. The segment looks into what inspires people to study philosophy, how they pursue their philosophical interests, and gives our audiences a better idea of philosophy as an undergraduate.

ABSTRACT Genevieve Lloyd argues that when we follow Spinoza in understanding reason as a part of nature, we gain new insights into the human condition. Specifically, we gain a new political insight: we should respond to cultural difference with a pluralist ethos. This is because there is no pure universal reason; human minds find their reason shaped differently by their various embodied social contexts. Furthermore, we can use the resources of the imagination to bring this ethos about. In my response, (...) I offer a friendly challenge to Lloyd’s characterisation of the lessons of Spinoza’s philosophy. I argue that Lloyd’s Spinoza remains excessively unpolitical, even in the moment that he is brought to bear on contemporary politics. An unpluralistic attitude may well be rationally inferior, but is it really explained by insufficient or inappropriate imagination? To the contrary, a properly Spinozist account of reason must include an account of the concrete determinants of reason’s imperfect realisation in the world. In Spinoza’s own oeuvre, this is carried out through an ever-increasing—and ever more sociological—interest in the political structures within which individual reason flourishes or withers. (shrink)

According to a recent interpretive orthodoxy, Spinoza is a profoundly democratic theorist of state authority. I reject this orthodoxy. To be sure, for Spinoza, a political order succeeds in proportion as it harnesses the power of the people within it. However, Spinoza shows that political inclusion is only one possible strategy to this end; equally if not more useful is political exclusion, so long as it maintains what I call the depoliticised acquiescence of those excluded.

Negri celebrates a conception of democracy in which the concrete powers of individual humans are not alienated away, but rather are added together: this is a democracy of the multitude. But how can the multitude act without alienating anyone’s power? To answer this difficulty, Negri explicitly appeals to Spinoza. Nonetheless, in this paper, I argue that Spinoza’s philosophy does not support Negri’s project. I argue that the Spinozist multitude avoids internal hierarchy through the mediation of political institutions and not in (...) spite of them; nor do these institutions merely emanate from the multitude as it is, but rather they structure, restrain and channel its passions. In particular, the required institutions are not those of a simple direct democracy. There may be other non-Spinozist arguments on which Negri can ground his theory, but he cannot legitimately defend his conception of the democratic multitude by appeal to Spinoza. (shrink)

This chapter considers the ways in which whiteness as a skin color and ideology becomes a dominant level that sets the background against which all things, people and relations appear. Drawing on Merleau-Ponty's phenomenology, it takes up a series of films by Bruce Nauman and Marlon Riggs to consider ways in which this level is phenomenally challenged providing insights into the embodiment of racialization.

This paper explores the ethical insights provided by Anne Truitt's minimalist sculptures, as viewed through the phenomenological lenses of Hannah Arendt's investigations into the co-constitution of reality and Maurice Merleau-Ponty's investigations into perception. Artworks in their material presence can lay out new ways of relating and perceiving. Truitt's works accomplish this task by revealing the interactive motion of our embodied relations and how material objects can actually help to ground our reality and hence human potentiality. Merleau-Ponty shows how our prereflective (...) bodies allow incompossible perceptions to coexist. Yet this same capacity of bodies to gather multiple perceptions together also lends itself to the illusion that we see from only one perspective. If an ethical perspective becomes reified into one position, it then becomes detached from reality, and the ethical potential is actually lost. At the same time, phenomenologically understood, the real world does not exist in terms of static matter, but is instead a web of contextual relations and meanings. An ethics that does not take embodied relations into account—that allows for only one perspective—ultimately loses its capacity for flexibility, and for being part of a common and shared reality. (shrink)

Software application ontologies have the potential to become the keystone in state-of-the-art information management techniques. It is expected that these ontologies will support the sort of reasoning power required to navigate large and complex terminologies correctly and efficiently. Yet, there is one problem in particular that continues to stand in our way. As these terminological structures increase in size and complexity, and the drive to integrate them inevitably swells, it is clear that the level of consistency required for such navigation (...) will become correspondingly difficult to maintain. While descriptive semantic representations are certainly a necessary component to any adequate ontology-based system, so long as ontology engineers rely solely on semantic information, without a sound ontological theory informing their modeling decisions, this goal will surely remain out of reach. In this paper we describe how Language and Computing nv (L&C), along with The Institute for Formal Ontology and Medical Information Sciences (IFOMIS), are working towards developing and implementing just such a theory, combining the open software architecture of L&C’s LinkSuiteTM with the philosophical rigor of IFOMIS’s Basic Formal Ontology. In this way we aim to move beyond the more or less simple controlled vocabularies that have dominated the industry to date. (shrink)

Hobbes’s science of politics rests on a dual analysis of human beings: humans as complex material bodies in a network of mechanical forces, prone to passions and irrationality; and humans as subjects of right and obligation, morally exhortable by appeal to the standards of reason. The science of politics proposes an absolutist model of politics. If this proposal is not to be idle utopianism, the enduring functioning of the model needs to be compatible with the materialist analysis of human behaviour. (...) In this paper, I argue that Hobbes's attempts to render his science of politics compatible with his materialism are only partly successful; a fuller compatibility is achieved in the political writings of Spinoza. -/- Published with reply: Luke O'Sullivan, 'Sovereigns and citizens: a response to Field', ibid., 221-224. Reprinted as: Sandra Field (2015), 'Hobbes and human irrationality', in T. Nardin (ed.) Rationality in Politics and its Limits, Abingdon: Routledge, 31-44. With reply: Luke O'Sullivan, 'Sovereigns and citizens: a response to Field', ibid., 45-48. (shrink)

It is common to assimilate Marx’s and Spinoza’s conceptions of democracy. In this chapter, I assess the relation between Marx’s early idea of “true democracy” and Spinozist democracy, both the historical influence and the theoretical affinity. Drawing on Marx’s student notebooks on Spinoza’s Theological-Political Treatise, I show there was a historical influence. However, at the theoretical level, I argue that a sharp distinction must be drawn. Philosophically, Spinoza’s commitment to understanding politics through real concrete powers does not support with Marx’s (...) anti-institutional conception of true democracy. And as a matter of social theory, the gap between civil society and the state which so troubles Marx is a development of modernity that has not entered Spinoza's premodern field of view. Marx’s true democracy was also influenced by his study of Rousseau, and theoretically, it is just as close if not closer to Rousseau as to Spinoza. (shrink)

Spanish translation of Field, S. L. (2012). 'Democracy and the multitude: Spinoza against Negri'. Theoria: A Journal of Social and Political Theory, 59(131), 21-40. Translated by María Cecilia Padilla and Gonzalo Ricci Cernadas. Negri celebra una concepción de la democracia en la que los poderes concretos de los individuos humanos no se alienan sino que se agregan: una democracia de la multitud. Pero ¿cómo puede actuar la multitud sin alienar el poder de nadie? Para contestar esta dificultad, Negri explícitamente (...) apela a Spinoza. Sin embargo, en este trabajo, sostengo que la filosofía de Spinoza no respalda el proyecto de Negri. Por el contrario, argumento que la multitud spinozista evita la jerarquía interna por medio de la mediación de las instituciones políticas y no a pesar de ellas; de la misma manera, estas instituciones tampoco simplemente emanan de la multitud tal cual es, sino que estructuran, contienen y canalizan sus pasiones. En particular, las instituciones requeridas no son las de la democracia simple y directa. Puede ser que existan otros argumentos no spinozistas en los cuales Negri pueda basar su teoría, pero no puede defender legítimamente su concepción de la multitud democrática apelando a Spinoza. (shrink)

Phenomenally strong artworks have the potential to anchor us in reality and to cultivate our perception. For the most part, we barely notice the world around us, as we are too often elsewhere, texting, coordinating schedules, planning ahead, navigating what needs to be done. This is the level of our age that shapes the ways we encounter things and others. In such a world it is no wonder we no longer trust our senses. But as feminists have long argued, thinking (...) grounded in embodied experience can be more open to difference; such embodied thinking helps us to resist the colonization of a singular, only seemingly neutral, perspective that closes down living potentialities. (shrink)

This paper outlines an analysis of the word ‘fun’, as it is used in everyday English sentences to describe various activities and asks why some things are labeled as fun while others seem unable to be properly described as such. One common unspoken idea, for example, is that a fun activity is deemed fun due to having a particular phenomenology, in a way that might be comparable to being in a ‘flow state’. Due to the trouble such psychological accounts of (...) fun have in explaining both the precise conditions of fun and also why some activities are thought to be enjoyable but not fun, a deflationary theory is instead introduced. This proposed alternative account suggests that the use of the word ‘fun’, when describing activities in English sentences, signals that the sentence is a generic sentence, an idea based on a semantic distinction made by Greg Carlson (1989). Further, it is argued that the words ‘pleasurable’ and ‘enjoyable’ are reserved for non-generic sentences, leaving the use of the word ‘fun’ to signal something akin to a grammar relation, rather than referring to a feeling or psychological state. (shrink)