Filtration combustion is described by Laplacian growth without surface tension. These equations have elegant analytical solutions that replace the complex integro-differential motion equations by simple differential equations of pole motion in a complex plane. The main problem with such a solution is the existence of finite time singularities. To prevent such singularities, nonzero surface tension is usually used. However, nonzero surface tension does not exist in filtration combustion, and this destroys the analytical solutions. However, a more elegant approach (...) exists for solving the problem. First, we can introduce a small amount of pole noise to the system. Second, for regularisation of the problem, we throw out all new poles that can produce a finite time singularity. It can be strictly proved that the asymptotic solution for such a system is a single finger. Moreover, the qualitative consideration demonstrates that a finger with 1 2 of the channel width is statistically stable. Therefore, all properties of such a solution are exactly the same as those of the solution with nonzero surface tension under numerical noise. The solution of the ST problem without surface tension is similar to the solution for the equation of cellular flames in the case of the combustion of gas mixtures. (shrink)

Abstract. The aim of this paper is to present a topological method for constructing discretizations (tessellations) of conceptual spaces. The method works for a class of topological spaces that the Russian mathematician Pavel Alexandroff defined more than 80 years ago. Alexandroff spaces, as they are called today, have many interesting properties that distinguish them from other topological spaces. In particular, they exhibit a 1-1 correspondence between their specialization orders and their topological structures. Recently, a special type of Alexandroff spaces was (...) used by Ian Rumfitt to elucidate the logic of vague concepts in a new way. According to his approach, conceptual spaces such as the color spectrum give rise to classical systems of concepts that have the structure of atomic Boolean algebras. More precisely, concepts are represented as regular open regions of an underlying conceptual space endowed with a topological structure. Something is subsumed under a concept iff it is represented by an element of the conceptual space that is maximally close to the prototypical element p that defines that concept. This topological representation of concepts comes along with a representation of the familiar logical connectives of Aristotelian syllogistics in terms of natural settheoretical operations that characterize regular open interpretations of classical Boolean propositional logic. In the last 20 years, conceptual spaces have become a popular tool of dealing with a variety of problems in the fields of cognitive psychology, artificial intelligence, linguistics and philosophy, mainly due to the work of Peter Gärdenfors and his collaborators. By using prototypes and metrics of similarity spaces, one obtains geometrical discretizations of conceptual spaces by so-called Voronoi tessellations. These tessellations are extensionally equivalent to topological tessellations that can be constructed for Alexandroff spaces. 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. This class of spaces provides a convenient framework for conceptual spaces as used in epistemology and related disciplines in general. Alexandroff spaces are useful for elucidating problems related to the logic of vague concepts, in particular they offer a solution of the Sorites paradox (Rumfitt). Further, they provide a semantics for the logic of clearness (Bobzien) that overcomes certain problems of the concept of higher2 order vagueness. Moreover, these spaces help find a natural place for classical syllogistics in the framework of conceptual spaces. The crucial role of order theory for Alexandroff spaces can be used to refine the all-or-nothing distinction between prototypical and nonprototypical stimuli in favor of a more fine-grained gradual distinction between more-orless 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” (Douven et al.) and problems of selecting a unique metric for similarity spaces. Finally, it is shown that only the Alexandroff account can deal with an issue that is gaining more and more importance for the theory of conceptual spaces, namely, the role that digital conceptual spaces play in the area of artificial intelligence, computer science and related disciplines. Keywords: Conceptual Spaces, Polar Spaces, Alexandroff Spaces, Prototypes, Topological Tessellations, Voronoi Tessellations, Digital Topology. (shrink)

Fred Polak’s futurology takes up where F. W. Schelling’s claims about the ‘modern mythology’ leaves off. Linking these, I argue Art and humanity’s joint meaning crisis originates in ‘symbolic idealism’, de-futurising both and crippling humanity’s attempts to develop a proper internal ‘narrative order of goods’ needed for our survival. Polak’s tracing of how various forms of Expressionism emerged from Impressionism in later modernism, transforming our images of reality and the future, vindicates Schelling’s earlier claims that our symbolic mode of ‘worlding’ (...) creates a materially positivistic idea of progress. And our modern repurposing of art has produced what Polak calls a disorienting ‘false and deluded realism’ partly responsible for the counter-utopian, post-humanist tendencies prevalent today in both the East and West. (shrink)

This article discusses the logic of the Epimenides Paradox using a graphical representation of the logical operators involved. The graphical representation of the Logical Operators is the one used in digital electronics. This method of investigation is very effective in revealing the hidden error in the reasoning that leads to the contradiction. The article explains the vicious circle that the mind goes through when trying to analyze the Paradox. Finally, the article proposes a solution of the Paradox with final (...) conclusions that are not paradoxical but simply counterintuitive. The endless deduction is generated by subsequent evaluations that take place on different levels. In its evaluation the Mind alternates a level of logical evaluation with a level of semantic evaluation. (shrink)

The article describes the background of Roman Ingarden's 1922 review of Leon Chwistek's book Wielość rzeczywistości, and the back-and-forth that followed. Despite the differences, the two shared some interesting similarities. Both authors had important ties to the intellectual happenings outside Poland and were not considerd mainstream at home. In the end, however, it is these connections that allowed them to gain recognition. Ingarden, who had been a student of Husserl, became the leading phenomenologist in the postwar Poland. For Chwistek, a (...) painter, philosopher, and logician interested in Russell’s work, such connections meant that he won the competition for a professorship at the university in Lwów over Alfred Tarski. Until recently, Chwistek’s place in Polish logic remains unclear and Ingarden’s interactions with Polish logic and the Vienna Circle have not been investigated extensively. A deeper look at this intellectual fracas between Ingarden and Chwistek helps one in the study of the complicated mesh of alliances within the Lwów-Warsaw School. The article also identifies the origins of the split between phenomenology and the analytic philosophical tradition in Poland. The article is also accompanied by the translations of the reviews. (shrink)

This essay examines one of the most obscure and controversial tenets of Kant’s critical philosophy, his claim in the Critique of Practical Reason that the moral law is immediately and unquestionably valid as an a priori fact of reason (Factum der Vernunft). This argument curiously inverts Kant’s earlier stance in the Groundwork of the Metaphysics of Morals, in which he justifies the reality of the categorical imperative through a much more cautious and qualified authentication of transcendental freedom. Against constructivist readings (...) which tend to downplay the justificatory burden of the Factum, I claim that Kant’s position is best understood as a transcendental argument. In other words, he argues from a given or assured conditioned, consciousness of binding moral obligation, to the sole condition of its possibility in transcendental freedom. In order to rebut the standard objections prompted by this line of interpretation, I emphasize the technical function of Kant’s Factum as both a deed (Tat) and product (Tatsache) of practical reason. (shrink)

The traditional possible-worlds model of belief describes agents as ‘logically omniscient’ in the sense that they believe all logical consequences of what they believe, including all logical truths. This is widely considered a problem if we want to reason about the epistemic lives of non-ideal agents who—much like ordinary human beings—are logically competent, but not logically omniscient. A popular strategy for avoiding logical omniscience centers around the use of impossible worlds: worlds that, in one way or another, violate the laws (...) of logic. In this paper, we argue that existing impossible-worlds models of belief fail to describe agents who are both logically non-omniscient and logically competent. To model such agents, we argue, we need to ‘dynamize’ the impossible-worlds framework in a way that allows us to capture not only what agents believe, but also what they are able to infer from what they believe. In light of this diagnosis, we go on to develop the formal details of a dynamic impossible-worlds framework, and show that it successfully models agents who are both logically non-omniscient and logically competent. (shrink)

In this paper, I argue that what counts as the proper function of a trait is a matter of the de facto perspective that the biological system, itself, possesses on what counts as proper functioning for that trait. Unlike non-perspectival accounts, internal perspectivalism does not succumb to generality problems. But unlike external perspectivalism, internal perspectivalism can provide a fully naturalistic, mind-independent grounding of proper function and natural norms. The attribution of perspectives to biological systems is intended to be neither metaphorical (...) nor anthropomorphic: I do not mean to imply that such systems thereby must possess agency, cognition, intentions, concepts, or mental or psychological states. Instead, such systems provide the grounding for norms of performance when they internally enforce their own standard of (i.e., their own perspective on) what constitutes proper functioning or malfunctioning. By operating with a fixed, determinate level of generality, such systems provide the basis for an account of proper function that is immune to generality problems. (shrink)

This paper provides a new approach to a family of outstanding logical and semantical puzzles, the most famous being Frege's puzzle. The three main reductionist theories of propositions (the possible-worlds theory, the propositional-function theory, the propositional-complex theory) are shown to be vulnerable to Benacerraf-style problems, difficulties involving modality, and other problems. The nonreductionist algebraic theory avoids these problems and allows us to identify the elusive nondescriptive, non-metalinguistic, necessary propositions responsible for the indicated family of puzzles. The algebraic approach is also (...) used to defend antiexistentialism against existentialist prejudices. The paper closes with a suggestion about how this theory of content might enable us to give purely semantic (as opposed to pragmatic) solutions to the puzzles based on a novel formulation of the principle of compositionality. (shrink)

According to noncognitivism, normative beliefs are just desire-like attitudes. While noncognitivists have devoted great effort to explaining the nature of normative belief, they have said little about all of the other attitudes we take towards normative matters. Many of us desire to do the right thing. We sometimes wonder whether our conduct is morally permissible; we hope that it is, and occasionally fear that it is not. This gives rise to what Schroeder calls the 'Many Attitudes Problem': the problem of (...) developing a plausible noncognitivist account of the full range of attitudes that we take towards normative matters. This paper explores the problem and proposes a solution. (shrink)

I consider the fundamental philosophical problem for Christology: how can one and the same person, the Second Person of the Trinity, be both God and man. For being God implies having certain attributes, perhaps immutability, or impassibility, whereas being human implies having apparently inconsistent attributes. This problem is especially vexing for the proponent of Conciliar Christology – the Christology taught in the Ecumenical Councils – since those councils affirm that Christ is both mutable and immutable, both passible and impassible, etc. (...) Many extant solutions to this problem approach it by claiming that the predicates are incompatible when said of the same thing without qualification, but that once the appropriate qualification is added, compatibility is achieved. I provide a different approach. Here I argued that the predicates can be understood so that they are compatible. I then work out the logical relations between the predicates, so understood, showing that no contradiction follows from understanding them in the way I suggest. After that, I consider some of the motivations we have for believing the purportedly incompatible pairs to be, in fact, incompatible, and argue that, on the view offered here, we can salvage most of our intuitions that motivate taking the predicates as incompatible. Finally, I consider three objections. (shrink)

In this paper, I argue that one approach to normative political theory, namely contextualism, can benefit from a specific kind of historical inquiry, namely genealogy, because the latter provides a solution to a deep-seated problem for the former. This problem consists in a lack of critical distance and originates from the justificatory role that contextualist approaches attribute to contextual facts. I compare two approaches to genealogical reconstruction, namely the historiographical method pioneered by Foucault and the hybrid method of pragmatic (...) genealogy as practiced by Bernard Williams, arguing that they both ensure an increase in critical distance while preserving contextualism’s distinctiveness. I also show, however, that only the latter provides normative action-guidance and can thus assist the contextualist theorist in the crucial task of discerning how far certain contextual facts deserve their justificatory role. I prove this point by showing how a pragmatic genealogy of the practice of punishment can inform the contextualist’s reflection about the role this practice should play in a transitional scenario, i.e. in the set of circumstances societies go through in the aftermath of large-scale violence and human rights violations. (shrink)

Kant’s pre-1770 philosophy responded to the mind-body problem by applying a theory of “physical influx”. His encounter with Swedenborg’s mysticism, however, left him disillusioned with any dualist solution to Descartes’ problem. One of the major goals of the Critical philosophy was to provide a completely new solution to the mind-body problem. Kant’s new solution is “perspectival” in the sense that all Critical theories are perspectival: it acknowledges a deep truth in both of the controversy’s extremes (i.e., what (...) we might nowadays call eliminative materialism and an absolutely ideal folk psychology), by viewing both as ways of considering the issue, rather than as the only correct approach. Once we take into account its perspectival character, a new way of understanding Kant’s philosophy of mind emerges. The mind is no longer separate from the body, but is a manifestation of it, viewed from another (specifically human, rational) perspective. Kant’s transcendental conditions of knowledge (spatio-temporal intuition, categorial conception, and principled schematization) do not portray the mind as somehow creating the physical world; rather, they imply the opposite, that knowledge of objects is necessarily structured by a set of unconscious assumptions about the physical world. Our pre-conscious (or pre-mental, in Descartes’ sense of “mental”) encounter with an assumed spatio-temporal, causal nexus is entirely physical. A reincarnated Kant’s solution to today’s mind-body problem would be: eliminative materialism is good science; but only the “explanatory idealist” can consistently be an eliminative materialist. Philosophically, multiple perspectives are necessary in order to understand anything we say or do. (shrink)

Truth pluralism is the view that there is more than one truth property. The strong version of it (i.e. strong pluralism) further contends that no truth property is shared by all true propositions. In this paper, I help strong pluralism solve two pressing problems concerning mixed discourse: the problem of mixed inferences (PI) and the problem of mixed compounds (PC). According to PI, strong pluralism is incompatible with the truth- preservation notion of validity; according to PC, strong pluralists cannot find (...) any appropriate truth property for mixed compound propositions, whose atomic constituents are from different domains of discourse (e.g., <sky is blue and chocolate is tasty>). I argue that the strong pluralist is motivated to take the truth predicate in truth-involving universal statements to be deflationary to avoid the two pressing problems. Such a move entails that the truth predicate in the platitude of validity (V) for any argument, it is valid if and only if necessarily its conclusion is true when its premises are all true does not denote any substantive truth property. Instead, it is merely an expressive device to help people generalize instances of (V) to (V). Analogous stories hold for the truth predicate in the platitudes of compound (e.g., conjunction). The upshot is that, the strong pluralist can solve PI and PC by further conceding that mixed compounds are true/false in a deflationary way. (shrink)

Prior's puzzle is a puzzle about the substitution of certain putatively synonymous or coreferential expressions in sentences. Prior's puzzle is important, because a satisfactory solution to it should constitute a crucial part of an adequate semantic theory for both proposition-embedding expressions and attitudinal verbs. I argue that two recent solutions to this puzzle are unsatisfactory. They either focus on the meaning of attitudinal verbs or content nouns. I propose a solution relying on a recent analysis of that-clauses in (...) linguistics. Our solution is superior, as it not only avoids the problems faced by previous solutions, but it also brings developments in linguistics in line to solve an old puzzle in philosophy. (shrink)

In this paper it is analyzed from the informational perspective the relation between mind and body, an ancient philosophic issue defined as a problem, which still did not receive up to date an adequate solution. By introducing/using the concept of information, it is shown that this concept includes two facets, one of them referring to the common communications and another one referring to a hidden/structuring matter-related information, effectively acting in the human body and in the living systems, which determines (...) the dynamic inter-change of information between specific structures of the organism by electric/electronic/chemical agents and genetic/epigenetic processes. It is shown that the maintenance of body, permanently and obligatory depending on the external matter (foods, air, water) resources, needed to provide both the structuring/restructuring basic material and energy, determines the necessary existence of an info-managing system, administrating the internal mechano-chemical/physical processes. As a natural consequence, such a system should organize and assure own survival by an effective informational operability to detect the external food resources, to select the appropriate interest information and to decide as a function of circumstances. One important component in such an informational system is memory, allowing to dispose of the reference informational data for analysis/comparison and the selection between good and bad binary possible decisions. The memory receives and stores therefore signals from external reality and from the body itself, referring to the emotional reaction, digestion status, creation, and inherited predilections, within specific info-neural communication circuits between the brain and body execution/sensitive organs, the human body appearing as an integrated info-matter self-managed dynamic system. The specific body components memorize information with different degrees of info-integration: short/long-term integration, emotive/action reaction, info-abilities, culminating with the integration in the chromosomal structures by epigenetic processes. The new acquired information is transgenerationally transmissible, and is manifested as new traits, showing the adaptation capability of the human and close relation between mind and body. Analyzing the results of such a mind-body informational model in comparison with the earlier assumed/proposed/asserted archaic, Greek and Occidental philosophies, which represent only partial aspects of this relation, it is shown that this informational model, elaborated in terms of information on the basis of scientific reasons and arguments, constitutes a general, realist, and coherent model of the mind-body relation, able to integrate and/or explain most of the others. (shrink)

In this article, the concept of system of symbolic 2-plithogenic linear equations and its solutions are introduced and studied. The Cramer's rule was applied to solve the system of symbolic 2-plithogenic linear equations. Also, provided enough examples for each case to enhance understanding.

In a recent paper in Astrophysics and Space Science Vol. 364 no. 11 (2019), S. Ershkov & D. Leschenko presented a new solving procedure for Euler-Poisson equations for solving momentum equations of the CR3BP near libration points for uniformly rotating planets having inclined orbits in the solar system with respect to the orbit of the Earth. The system of equations of the CR3BP has been explored with regard to the existence of an analytic way of presentation of the approximated (...) class='Hi'>solution in the vicinity of libration points. A new and elegant ansatz has been suggested in their publication whereby, in solving, the momentum equation is reduced to a system two coupled Riccati ODEs. In this paper, we presented a numerical solution of such coupled Riccati ODEs using Mathematica software package. (shrink)

Following a hypothesis by Marciak-Kozlowska, 2011, we consider one-dimensional Schumann wave transfer phenomena. Numerical solution of that equation was obtained by the help of Mathematica.

According to Russellianism (or Millianism), the two sentences ‘Ralph believes George Eliot is a novelist’ and ‘Ralph believes Mary Ann Evans is a novelist’ cannot diverge in truth-value, since they express the same proposition. The problem for the Russellian (or Millian) is that a puzzle of Kaplan’s seems to show that they can diverge in truth-value and that therefore, since the Russellian holds that they express the same proposition, the Russellian view is contradictory. I argue that the standard Russellian appeal (...) to “ways of thinking” or “propositional guises” is not necessary to solve the puzzle. Rather than this retrograde concession to Fregeanism, appeal should be made to second-order belief. The puzzle is solved, and the contradiction avoided, by maintaining that both sentences are indeed true in addition to the sentence ‘Ralph (mistakenly) believes that he does not believe Mary Ann Evans/George Eliot is a novelist’. (shrink)

The knower paradox states that the statement ‘We know that this statement is false’ leads to inconsistency. This article presents a fresh look at this paradox and some well-known solutions from the literature. Paul Égré discusses three possible solutions that modal provability logic provides for the paradox by surveying and comparing three different provability interpretations of modality, originally described by Skyrms, Anderson, and Solovay. In this article, some background is explained to clarify Égré’s solutions, all three of which hinge on (...) intricacies of provability logic and its arithmetical interpretations. To check whether Égré’s solutions are satisfactory, we use the criteria for solutions to paradoxes defined by Susan Haack and we propose some refinements of them. This article aims to describe to what extent the knower paradox can be solved using provability logic and to what extent the solutions proposed in the literature satisfy Haack’s criteria. Finally, the article offers some reflections on the relation between knowledge, proof, and provability, as inspired by the knower paradox and its solutions. (shrink)

There is a difference between the conditions in which one can felicitously assert a ‘must’-claim versus those in which one can use the corresponding non-modal claim. But it is difficult to pin down just what this difference amounts to. And it is even harder to account for this difference, since assertions of 'Must ϕ' and assertions of ϕ alone seem to have the same basic goal: namely, coming to agreement that [[ϕ]] is true. In this paper I take on this (...) puzzle, known as Karttunen’s Problem. I begin by arguing that a ‘must’-claim is felicitous only if there is a shared argument for its prejacent. I then argue that this generalization, which I call Support, can explain the more familiar generalization that ‘must’-claims are felicitous only if the speaker’s evidence for them is in some sense indirect. Finally, I sketch a pragmatic derivation of Support. (shrink)

i. a poetic solution of the Goldbach Conjecture; ii. several responses to the Epimenides Paradox; iii. the volitional solution to Russell's Paradox.

This paper presents what I call “the flowchart solution” to Joe Horton’s all-or-nothing problem. Rather than three options – don’t save any child, save one, or save two – there is a flowchart with a choice of don’t save or save, and then within save, save one or save two.

ABSTRACT Let wF, wC+, and wC− be three distinct worlds, each of which contains only a single point-sized material particle, and in each of which spacetime is: uniformly flat, constantly positively curved, and constantly negatively curved, respectively. By the relationist’s lights, these worlds seem to be qualitatively identical. Nevertheless, for each world, there are propositions concerning possible arrangements of material points that are true in that world, but false in the other two. I argue that, surprisingly, the relationist can ground (...) these differences in the distinct non-modal and intrinsic relations that are instantiated in each of wF, wC+, and wC–. (shrink)

Let wF, wC+, and wC– be three distinct worlds, each of which contains only a single point-sized material particle, and in each of which spacetime is: uniformly flat, constantly positively curved, and constantly negatively curved, respectively. By the relationist’s lights, these worlds seem to be qualitatively identical. Nevertheless, for each world, there are propositions concerning possible arrangements of material points that are true in that world, but false in the other two. I argue that, surprisingly, the relationist can ground these (...) differences in the distinct non-modal and intrinsic relations that are instantiated in each of wF, wC+, and wC–. (shrink)

Humanity faces two fundamental problems of learning: learning about the universe, and learning to become civilized. We have solved the first problem, but not the second one, and that puts us in a situation of great danger. Almost all of our global problems have arisen as a result. It has become a matter of extreme urgency to solve the second problem. The key to this is to learn from our solution to the first problem how to solve the second (...) one. This was the basic idea of the 18th century Enlightenment, but in implementing this idea, the Enlightenment blundered. Their mistakes are still built into academia today. In order to le arn how to create a civilized, enlightened world, the key thing we need to do is to cure academia of the structural blunders we have inherited from the Enlightenment. We need to bring about a revolution in science, and in academia more broadly so that the basic aim becomes wisdom, and not just knowledge. (shrink)

The Generality Problem is widely recognized to be a serious problem for reliabilist theories of justification. James R. Beebe's Statistical Solution is one of only a handful of attempted solutions that has garnered serious attention in the literature. In their recent response to Beebe, Julien Dutant and Erik J. Olsson successfully refute Beebe's Statistical Solution. This paper presents a New Statistical Solution that countenances Dutant and Olsson's objections, dodges the serious problems that trouble rival solutions, and retains (...) the theoretical virtues that made Beebe's solution so attractive in the first place. There indeed exists a principled, rigorous, conceptually sparse, and plausible solution to the Generality Problem: it is the New Statistical Solution. (shrink)

The idea of the uniformity of nature, as a solution to the problem of induction, has at least two contemporary versions: natural kinds and natural necessity. Then there are at least three alternative ontological ideas addressing the problem of induction. In this paper, I articulate how these ideas are used to justify the practice of inductive inference, and compare them, in terms of their applicability, to see whether each of them is preferred in addressing the problem of induction. Given (...) the variety of contexts in which inductive inferences are made, from natural science to social science and to everyday thinking, I suggest that no singular idea is absolutely preferred, and a proper strategy is probably to welcome the plurality of ideas helpful to induction, and to take pragmatic considerations into account, in order to judge in every single case. (shrink)

Nature-based solutions (NbS) have in recent years occupied a central position in conservation and climate discussions among both scientists and policy makers. NbS generally refer to a set of strategies which use nature, or natural objects, to address societal (human) issues while simultaneously supporting the broader environment. This paper examines the concept of NbS to determine whether it is a useful and well-motivated category to guide future climate and conservation efforts. I argue that NbS may in fact be a valuable (...) contribution to environmental thought and policy, but not for the reasons that they are typically thought to be. Specifically: while we have reason to doubt that NbS should be prioritized over other environmental strategies on the grounds that they are uniquely environmentally-friendly or supportive of biodiversity, they may nevertheless have an advantage insofar as they play a vital aesthetic role in developing a healthier relationship between humans and the nonhuman world. (shrink)

This paper considers a paradox which the historian of anthropology George Stocking draws attention to: from the point of view of parts of the Victorian middle class, Victorian society was highly evolved yet also contained savage components. I clarify the paradox and propose a solution.

Each well-known proposed solution to the mind-body problem encounters an impasse. These take the form of an explanatory gap, such as the one between mental and physical, or between micro-subjects and macro-subject. The dialectical pressure to bridge these gaps is generating positions in which consciousness is becoming increasingly foundational. The most recent of these, cosmopsychism, typically casts the entire cosmos as a perspectival subject whose mind grounds those of more limited subjects like ourselves. I review the dialectic from materialism (...) and dualism through to panpsychism, suggesting that explanatory gaps in the latter stem from assuming foundational consciousness to be perspectival. Its renunciation may yield the notion of an aperspectival, universal, “non-dual” consciousness that grounds all manifestation and is unstructured by subject, object or any differentia. Not only is such consciousness suggestive of a natural successor to cosmopsychism, but it has also been reported to be the direct experience of mystics who claim to have transcended the individual perspective. Their purported insight — that our aperspectival conscious nature is identical to the ground of all being — has been termed “the Perennial Philosophy”. Believing this Perennial Philosophy to offer the most promising way forward in the mind-body problem, I construct from it the foundations of a metaphysical system that I call “Perennial Idealism”. This attempts to account for manifestation in terms of dispositional, imagery-bound subjects. I then address an age-old “Parmenidean” conundrum that I refer to as “the problem of the one and the many”: How can an undifferentiated substratum ground differentia without the ground itself differentiating? The proposed solution takes its cue from mystico-philosophical writings in the Advaita Vedānta tradition, known as the ajāta doctrine. (shrink)

A recently developed computational and neurobiological theory of phenomenal consciousness is applied to a series of persistent philosophical problems of consciousness (in recent formulations by Tye, Searle, and Chalmers). Each problem has a clear solution according to this theory, as is briefly explained here. A slightly modified version of this paper can be found as Chapter 16 ('Philosophical problems of consciousness') in my book 'The estimator theory of life and mind: how agency and consciousness can emerge', see VANTET-8 at (...) philpapers . (shrink)

Disclosure of true but reputation-damaging information is generally legal. But threats to disclose true but reputation-damaging information unless payment is made are generally criminal. Many scholars think that this situation is paradoxical because it seems to involve illegality mysteriously arising out of legality, a criminal act mysteriously arising out of an independently legal threat to disclose conjoined with an independently legal demand for money. -/- But this formulation is not quite right. The real paradox raised by the different legal statuses (...) of blackmail threats to disclose and disclosure itself involves a contradiction between our strong intuition that blackmail threats should be criminal and some equally strong arguments, all of which depend on the fact that disclosure is legal, that blackmail threats should be legal. So an adequate solution to the real Blackmail Paradox requires us either to drop the intuition or to refute the pro-legalization arguments. -/- This Article will adopt the latter approach. It will explain why the six main arguments for legalizing blackmail threats all fail. In the course of refuting one of these arguments, it will also offer a novel positive justification for criminalizing blackmail threats: they should be criminal for the same reason that menacing, harassment, and stalking are criminal--namely, because they involve the reasonable likelihood, and usually the intent, of putting the victim into a state of especially great fear and anxiety. -/- Of course, one might object that disclosure itself is likely to have the same effect, if not malicious purpose. Yet, again, it is still legal. But this point shows only that we as a society value freedom of speech more than we value freedom from infliction of emotional injury. It does not show that we do not value freedom from infliction of emotional injury sufficiently to protect it when competing moral or institutional interests such as freedom of speech are not at stake. (shrink)

This paper presents a relativistic interpretation of Elizabeth Colson's paradox of empathy and a solution.

This chapter proposes a solution to the Trolley Problem in terms of the Kantian prohibition on using a person ‘merely as a means.’ A solution of this type seems impossible due to the difficulties it is widely thought to encounter in the scenario known as the Loop case. The chapter offers a conception of ‘using merely as a means’ that explains the morally relevant difference between the classic Bystander and Footbridge cases. It then shows, contrary to the standard (...) view, that a bystander who diverts the trolley in the Loop case need not be using someone ‘merely as a means’ in doing so. This makes it possible to show why the Loop scenario does not undermine the explanation of the salient moral difference between the Bystander and Footbridge cases. (shrink)

The current orthodoxy in cognitive science, what I describe as a commitment to deep representationalism, faces intractable problems. If we take these objections seriously, and I will argue that we should, there are two possible responses: 1. We are mistaken that representation is the locus of our cognitive capacities — we manage to be the successful cognitive agents in some other, non-representational, way; or, 2. Our representational capacities do give us critical cognitive advantages, but they are not fundamental to us (...) qua human beings. As Andy Clark has convincingly argued, antirepresentationalism, option one, is explanatorily weak. Consequently, I will argue, we need to take the second option seriously. In the first half of the paper I rehearse the problems with the current representational view and in the second half of the paper I defend and give a positive sketch of a two-systems view of cognition – a non-representational perceptual system coupled with a representational language-dependent one – and look at some consequences of the view. (shrink)

This paper elaborates a new solution to the lottery paradox, according to which the paradox arises only when we lump together two distinct states of being confident that p under one general label of ‘belief that p’. The two-state conjecture is defended on the basis of some recent work on gradable adjectives. The conjecture is supported by independent considerations from the impossibility of constructing the lottery paradox both for risk-tolerating states such as being afraid, hoping or hypothesizing, and for (...) risk-averse, certainty-like states. The new proposal is compared to views within the increasingly popular debate opposing dualists to reductionists with respect to the relation between belief and degrees of belief. (shrink)

On a widely shared assumption, our mental states supervene on our microphysical properties – that is, microphysical supervenience is true. When this thesis is combined with the apparent truism that human persons have proper parts, a grave difficulty arises: what prevents some of these proper parts from being themselves thinkers as well? How can I know that I am a human person and not a smaller thinker enclosed in a human person? Most solutions to this puzzle make radical, if not (...) absurd, claims. Recently, however, Michael Burke and Howard Robinson proposed conservative solutions that, according to them, do not have such undesired consequences. This paper argues that the conservative solutions tacitly assume at least one of the radical ones, and therefore they provide no alternative to the extreme solutions. (shrink)

Three decades after Chalmers named it, the ‘hard problem’ remains. I suggest a parsimonious solution. Biological dynamic systems interact according to simple rules (while the environment provides simple constraints) and thus self-organize to become a new, more complex dynamic system at the next level. This spiral repeats several times generating a hierarchy of levels. A leap to the next level is frequently creative and surprising. From ants, themselves self-organized according to physical/chemical laws, may emerge an ant colony self-organized according (...) to eusocial laws. A dynamic system need not be material. A living language (immaterial) is a complex adaptive system. Body/brain are material but the next level of complexity, a psychological dynamic system, a thought, feeling, image or ideal, is less material. From several psychological dynamic systems emerges the next level, narrative (immaterial), and from multiple narratives emerges personality. Concrete evidence explains how an early narrative emerges from body-and-brain. Evidence also shows that personality emerges from narrative. Even an objective narrative captures subjectivity since the teller’s choice of content is subjective. I argue that the ‘stream-of-consciousness’ story (movie) you are currently telling yourself (watching) is your conscious experience, ‘what it is like’ for you to be conscious. Adriana Cavarero’s arguments support this. Each level of a hierarchy of dynamic systems must necessarily be homeostatic, at that level. McDowell et al. (2023: submitted, in revision) reported evidence that a dream (a narrative) supports personality homeostatically. Perhaps the evolutionary advantage of conscious experience, also a narrative, has always been that it too supports personality homeostatically. Personality and body/brain, a chimera of symbiotic life-forms, constitute interactionist duality. (shrink)

Although certain recent developments in mendacious political manipulation of public discourse are horrifying to the academic mind, I argue that we should not panic. Charles Peirce’s pragmatist epistemology with its teleological arc, long horizon, and rare balance between robust realism and contrite fallibilism offers guidance to weather the storm, and perhaps even see it as inevitable in our intellectual development. This paper explores Peirce’s classic “four methods of fixing belief”, which takes us on an entertaining and still very pertinent tour (...) through tenacity, authority and a priori speculation to the method of science – the only method which is both public and self-correcting. Although in the West we (mostly) proudly self-conceive as living in a ‘scientific age’, I argue that this is premature. Precisely insofar as we treat the misbehavior of governments as a harbinger of doom, we remain trapped in authoritarian modes of thinking which Peirce identified with medievalism, although modernity is increasingly quickening around us in worldwide information-sharing practices that are shaped entirely by mutual help. With this framework in mind, many tactics of recent media are most helpfully seen as belonging not to a post-truth, but a pre-truth stage of human intellectual development. Advice on this is sought from Plato, who of course also faced a world that was ‘pre-academic’. (shrink)

The statue and the lump of clay that constitutes it fail to share all of their kind and modal properties. Therefore, by Leibniz’s Law, the statue is not the lump. Question: What grounds the kind and modal differences between the statue and the lump? In virtue of what is it that the lump of clay, but not the statue, can survive being smashed? This is the grounding problem. Now a number of solutions to the grounding problem require that we substantially (...) revise our view of reality. In this paper, I provide a solution to this problem that does not require such a revision. I then show how my solution to the grounding problem can solve a related problem and answer a related question. The upshot is that the solution I offer is not only non-revisionary, but also fruitful. (shrink)

Luck (2009) argues that gamers face a dilemma when it comes to performing certain virtual acts. Most gamers regularly commit acts of virtual murder, and take these acts to be morally permissible. They are permissible because unlike real murder, no one is harmed in performing them; their only victims are computer-controlled characters, and such characters are not moral patients. What Luck points out is that this justification equally applies to virtual pedophelia, but gamers intuitively think that such acts are not (...) morally permissible. The result is a dilemma: either gamers must reject the intuition that virtual pedophelic acts are impermissible and so accept partaking in such acts, or they must reject the intuition that virtual murder acts are permissible, and so abstain from many (if not most) extant games. While the prevailing solution to this dilemma has been to try and find a morally relevant feature to distinguish the two cases, I argue that a different route should be pursued. It is neither the case that all acts of virtual murder are morally permissible, nor are all acts of virtual pedophelia impermissible. Our intuitions falter and produce this dilemma because they are not sensitive to the different contexts in which games present virtual acts. (shrink)

The canonical Bayesian solution to the ravens paradox faces a problem: it entails that black non-ravens disconfirm the hypothesis that all ravens are black. I provide a new solution that avoids this problem. On my solution, black ravens confirm that all ravens are black, while non-black non-ravens and black non-ravens are neutral. My approach is grounded in certain relations of epistemic dependence, which, in turn, are grounded in the fact that the kind raven is more natural than (...) the kind black. The solution applies to any generalization “All F’s are G” in which F is more natural than G. (shrink)

One way to frame the problem of moral luck is as a contradiction in our ordinary ideas about moral responsibility. In the case of two identical reckless drivers where one kills a pedestrian and the other does not, we tend to intuit that they are and are not equally blameworthy. The Character Response sorts these intuitions in part by providing an account of moral responsibility: the drivers must be equally blameworthy, because they have identical character traits and people are originally (...) praiseworthy and blameworthy in virtue of, and only in virtue of, their character traits. After explicating two versions of the Character Response, I argue that they both involve implausible accounts of moral responsibility and fail to provide a good solution to the problem of moral luck. I close by noting how proponents of moral luck can preserve a kernel of truth from the Character Response to explain away the intuition that the drivers are equally blameworthy. (shrink)

The students’ argument against the possibility of a surprise exam assumes that the following would not occur: the teacher decides to give the exam on a certain day; the teacher believes that the exam would be a surprise on that day; but, actually, the exam would not be a surprise on that day. I give a reason to reject this assumption, and I point out that an attempt to reformulate the surprise exam paradox in order to allow for the assumption (...) does not result in an acceptable argument. (shrink)

We present a novel approach to quantum gravity derived from maximizing the entropy of all possible geometric measurements. Multivector amplitudes emerge as the mathematical structure that solves this maximization problem in its full generality, superseding the complex amplitudes of standard quantum mechanics. The resulting multivector probability measure is invariant under a wide range of geometric transformations, and includes the Born rule as a special case. In this formalism, the gamma matrices become self-adjoint operators, enabling the construction of the metric tensor (...) as a quantum observable. The Schrödinger equation emerges as the active generator of arbitrary metric transformations, and the gauge symmetries SU(3)xSU(2)xU(1) of the Standard Model make their appearances without additional assumptions. Remarkably, the multivector amplitude formalism is found to be consistent only with 3+1-dimensional spacetime, encountering various obstructions in other dimensional configurations. The incorporation of the metric tensor as a quantum observable provides a natural pathway to integrate gravity with quantum mechanics. This entropy maximization approach to quantum gravity offers a parsimonious and unifying framework, bridging the gap between quantum theory and general relativity. (shrink)

In this article I provide and defend a solution to the problem of moral luck. The problem of moral luck is that there is a set of three theses about luck and moral blameworthiness each of which is at least prima facie plausible, but that, it seems, cannot all be true. The theses are that (1) one cannot be blamed for what happens beyond one’s control, (2) that which is due to luck is beyond one’s control, and (3) we (...) rightly blame each other for events that are due to luck. I suggest that the response which distinguishes between degree and scope of blameworthiness is promising. The main objection that one might level against this approach is that it seems to lead to the absurd conclusion that we, in the actual world, are as blameworthy as the person we could have been and who performs all sorts of heinous acts in a far away possible world. For, we in the actual world and our counterpart in a far away possible world are both such that we would perform certain heinous acts in particular circumstances. I argue that this objection can be met, namely by paying attention to the nature of luck. By using the insights into the nature of luck that have been gained by epistemologists, we can solve the problem of luck as it has been formulated by ethicists. For, epistemologists have argued that some event is due to luck only if it fails to occur in a substantial number of nearby possible worlds. I defend this account of luck and argue that the problem of moral luck can be solved if we pay attention to the nature of luck. I, therefore, call my solution to the problem of moral luck a modal solution. (shrink)