This paper examines to what extent Davidsonian truth-theoretic semantics can give an adequate account for empty names in natural languages. It argues that the prospect is dim because of a tension between metaphysical austerity, non-vacuousness of theorems and empirical adequacy. Sainsbury (2005) proposed a Davidsonian account of empty names called ‘Reference Without Referents’ (RWR), which explicates reference in terms of reference-condition rather than referent, thus avoiding the issue of existence. This is an inspiring account. However, it meets several difficulties. First, (...) there is no non-vacuous, interpretive truth-condition available for any T-sentence containing an empty name, because by stipulation there is no way to compose a true atomic sentence using an empty name in RWR. The absence of an interpretive truth-condition implies the absence of an interpretive reference-condition. It also entails empirical inadequacy to support an interpretation because the related propositional attitude can never be truly satisfied. These considerations cast doubt on whether truth is the proper vehicle to articulate meaning. This paper suggests that we can alleviating the problem by employing truth-conditions varying across contexts of utterance, rather than just contexts of evaluation. The result is a two-dimensional model-theoretic approach to empty names. It involves a new function coined counterfactual reference and the account is compatible with both descriptivism and Millianism. (shrink)

This paper examines the evolution of Husserl’s philosophy of nonintuitive intentions. The analysis has two stages. First, I expose a mistake in Husserl’s account of non-intuitive acts from his 1901 Logical Investigations. I demonstrate that Husserl employs the term “signitive” too broadly, as he concludes that all non-intuitive acts are signitive. He states that not only meaning acts, but also the contiguity intentions of perception are signitive acts. Second, I show how Husserl, in his 1913/14 Revisions to the Sixth Logical (...) Investigation, amends his 1901 theory of non-intuitive acts, which he now calls “empty” intentions. He there accurately distinguishes empty meaning acts from the empty intentions of perception. In the conclusion, I reveal how Husserl’s alterations to his theory of non-intuitive intentions can inform our understanding of a larger shift in his philosophy. (shrink)

Deleuze argued that a fundamental mutation in the concept of time occurred in Kant. In antiquity, the concept of time was subordinated to the concept of movement: time was a ‘measure’ of movement. In Kant, this relation is inverted: time is no longer subordinated to movement but assumes an autonomy of its own: time becomes "the pure and empty form" of everything that moves and changes. What is essential in the theory of time is not the distinction between objective (...) ‘clock time’ (or physical time) and the subjective experience of ‘time consciousness,’ since both of them measure movements, whether the movement of extensive objects or intensive states. What is fundamental is rather the relation between time and movement, since time can only assume its own concept when it ceases to be subordinate to movement, whether that movement is objective or subjective. This article examines how Kant inverted the relation between time and movement, and how Deleuze’s own theory of time builds on Kant’s revolution and extends it further. (shrink)

Michael Devitt develops a hybrid causal theory of non-empty proper names and certain singular terms that semantically resemble them. He considers that the use of a name designates an object not by virtue of the different information we know about it, but by a causal network that starts from the first uses of the name to designate the object, through a "reference borrowing" from the previous uses. DOI: 10.13140/RG.2.2.35828.50564.

Theory of everything must include consciousness. In this Part I of the series of three articles, we introduce the subjective experience (SE) and/or proto‐experience (PE) aspect of consciousness in classical physics, where PEs are precursors of SEs. In our dualaspect‐ dual‐mode PE‐SE framework, it was hypothesized that fundamental entities (strings or elementary particles: fermions and bosons) have two aspects: (i) material aspect such as mass, charge, spin, and space‐time, and (ii) mental aspect, such as experiences. There are three competing (...) hypotheses: (1) superposition based H1 (SEs/PEs are superposed in the mental aspect of entities; when a specific stimulus is presented to the neural‐network, the associated specific SE is selected by the matching and selection process and experienced by this network), (2) superposition‐then‐integration based H2 (only PEs are superposed, which are integrated by neural‐Darwinism leading to specific SEs) and (3) integration based H3 (each entity has its own PE, which keeps on transforming appropriately as matter evolves from elementary particles to neuralnetworks; it is a dual‐aspect panpsychism). We found that the followings, in classical physics, are invariant under the PE‐SE transformation: electromagnetic strength tensor, electromagnetic stress‐energy tensor, the electromagnetic theory (Maxwell's equations), Newtonian gravitational field, the entropic force, Special and General Theory of Relativity. Our analysis suggests that (i) SEs are embedded in space‐time geometry for the structure of space‐time (empty space or the vacuum without matter). (ii) For matter field, SEs can move with spatiotemporal coordinates of matter because it is in the mental aspect of matter as both mental and material aspects are always together in the dual‐aspect‐dual‐mode optimal PE‐SE framework. (iii) Our specific SE is the result of matching and selection processes and can change with space and time. For example, the experience redness has V4/V8/VO‐red‐green neural‐network with rednessstate as neural correlates. When a subject moves, the specific SE redness also moves with the subject’s correlated neural‐network. In addition, SEs can change with time as stimuli change. In other words, SEs in a subject change with space‐time. We conclude that it is possible to introduce the SE/PE aspect of consciousness in classical physics. In Parts II and III, the SE aspect of consciousness will be introduced in orthodox quantum physics and modern quantum physics (such as loop quantum gravity and string theory), respectively. Thus, the introduction of the SE aspect of consciousness in physics leads us to unify consciousness with known four fundamental forces, which entails towards a theory of everything. (shrink)

Abstract: There are two traditionally rival views about the nature of time: substantivalism that takes time to be a substance that exists independently of events located in it, and relationism that takes time to be constructed out of events. In this paper, first, I want to make some progress with respect to the debate between these two views, and I do this mainly by examining the strategies they use to face the possibilities of ‘empty time’ and ‘time without change’. As (...) we shall see, the two allegedly very different rival views are much less different than has been thought: their structure is extremely similar, their strategies are extremely similar, and they can both face the possibilities of ‘empty time’ and ‘time without change’ in the same way. Thus, I argue in favour of a certain kind of equivalence between the two views; I discuss a Strong and a Weak version of this claim; and I provide reasons for endorsing the former. I also discuss the parallel between this pair of views about the nature of time and another analogous pair of views: the bundle theory and the substratum theory about the nature of material objects, with respect to the problem with Identity of Indiscernibles. (shrink)

[ROYAL INSTITUTE OF PHILOSOPHY 2023 ESSAY PRIZE WINNER] I argue that the term ‘naturalism’ is so empty of meaning that it is not suitable for serious theorizing in philosophy. In particular, I argue that the question of whether or not some theory or thesis should count as naturalistic is an empty verbal dispute with no further theoretical significance. I also discuss naturalism construed as a methodological thesis and argue that any plausible version will collapse into triviality. Lastly, I briefly (...) discuss the idea that naturalism is not a thesis at all but rather a ‘stance’ and suggest that this too succumbs to the charge of emptiness. I conclude that we should stop talking about naturalism altogether. (shrink)

This paper accomplishes two tasks. First, I examine in detail Edmund Husserl’s earliest philosophy of surrogates, as it is found in his 1890 “On the Logic of Signs ”. I analyze his psychological and logical investigations of surrogates, where the former is concerned with explaining how these signs function and the latter with how they do so reliably. His differentiation of surrogates on the basis of their genetic origins and degrees of necessity is discussed. Second, the historical importance of this (...) text is disclosed by showing how Semiotic serves as both the inspiration for, and the foil to, Husserl’s 1901 First Logical Investigation. Husserl not only adopts the idea that linguistic signs can function via association, but also maintains that such signs can motivate me to execute one of two experiences. The key difference between the texts is that Husserl abandons his theory of surrogates in 1901, instead holding that I can experience absent objects by means of empty intentions. The reasons why Husserl found it necessary to transform this tenet of his philosophy are discussed at length. (shrink)

This article maintains that the so-called theory-practice divide in legal education is not only factually false but semantically impossible. -/- As to the divide's falsity, practitioners have of course performed excellent scholarship and academics have excelled in practice. As to the divide's semantic impossibility, this article examines, among other things: -/- (1) the essential role of experience in meaning, -/- (2) the resulting inseparability of theory and practice in the world of experience, -/- (3) problems the divide shares (...) in common with debunked Cartesian dualism, and -/- (4) modern cognitive psychology’s notions of embodied meaning which further underscore the semantic impossibility of separating theory from practice in the world of experience. -/- Using insights from such examinations, this article also explores implications of a debunked theory-practice divide for, among other things, law school curriculums and law school faculty hiring standards. -/- Keywords: legal education, legal writing, semantics, theory, practice, experience, Charles Sanders Peirce, embodied meaning, cognitive psychology, Cartesian dualism, affordance knowledge, metaphor, George Lakoff, category, humanities, Langdell, pragmatism, semiotics, philosophy. (shrink)

This paper accomplishes three goals. First, the essay demonstrates that Edmund Husserl’s theory of meaning consciousness from his 1901 Logical Investigations is internally inconsistent and falls apart upon closer inspection. I show that Husserl, in 1901, describes non-intuitive meaning consciousness as a direct parallel or as a ‘mirror’ of intuitive consciousness. He claims that non-intuitive meaning acts, like intuitions, have substance and represent their objects. I reveal that, by defining meaning acts in this way, Husserl cannot account for our (...) experiences of countersensical, absurd, or impossible meanings. Second, I examine how Husserl came to recognize this 1901 mistake in his 1913/14 Revisions to the Sixth Logical Investigation. I discuss how he accordingly reformulates his understanding of non-intuitive meaning acts from the ground up in those Revisions, where this also allows for him to properly account for the experience of impossible meanings. Instead of describing them as mirrors of intuitions, Husserl takes non-intuitive meaning acts to be modifications of intuitions, where they have no substance and do not represent their objects. Finally, in the conclusion to this essay, I demonstrate how this fundamental change to his understanding of meaning consciousness forced Husserl to revise other central tenets of his philosophy, such that the trajectory of his thought can only be properly understood in light of these revisions to his theory of non-intuitive meaning consciousness. (shrink)

The relationship of public space to democracy is dominated by two competing, yet intertwined, theoretical bases: political philosophy and spatial theory. But how does the architect make political space? Can architectural practice create political space through design? In this book, Teresa Hoskyns theorizes that the converging point between theoretical foundations and democratic practices is “participation” within “social production of space.” Therefore, “participation” from joint perspectives of architecture and political philosophy has been studied in two different frameworks: the theoretical and (...) the practical. Unlike most previous works on the relationship between architecture and democracy, Hoskyn’s book transcends the spatial and political interpretation of public space. By incorporating new theoretical approaches to representative democracy, it depicts a complex dialectic and multilayered picture of—“spaces of democracy” and the “democracy of space”—in her phrasing. (shrink)

This paper examines the evolution of Edmund Husserl’s theory of perceptual occlusion. This task is accomplished in two stages. First, I elucidate Husserl’s conclusion, from his 1901 Logical Investigations, that the occluded parts of perceptual objects are intended by partial signitive acts. I focus on two doctrines of that account. I examine Husserl’s insight that signitive intentions are composed of Gehalt and I discuss his conclusion that signitive intentions sit on the continuum of fullness. Second, the paper discloses how (...) Husserl transforms his 1901 philosophy in his 1913 revisions to the Sixth Logical Investigation, affirming that the occluded parts of perceptual objects are intended by empty contiguity acts. I demonstrate how he overturns the two core doctrines of his theory from the Investigations in these revisions, claiming that empty intentions are not composed of Gehalt and asserting that those acts break with the continuum of fullness. Husserl implements these changes to solve problems that arise from his recognition of two new kinds of intentions; darker and completely dark acts. Finally, in the conclusion, I cash out this analysis, by indicating that, in 1913, Husserl transforms his theory of fulfillment on the basis of his new insights about empty acts. (shrink)

If possible worlds are conjunctions of states of affairs, as in David Armstrong’s combinatorial theory, then is the empty world to be thought of as the null conjunction of states of affairs? The proposal seems plausible, and has received support from David Efird, Tom Stoneham, and Armstrong himself. However, in this paper, it is argued that the proposal faces a trilemma: either it leads to the absurd conclusion that the actual world is empty; or it reduces to a familiar (...) representation of the empty world in which the concept of a null conjunction plays no role; or it needs to make room for the null individual of certain non-classical mereologies. (shrink)

A gas in a box is perhaps the most important model system studied in thermodynamics and statistical mechanics. Usually, studies focus on the gas, whereas the box merely serves as an idealized confinement. The present article focuses on the box as the central object and develops a thermodynamic theory by treating the geometric degrees of freedom of the box as the degrees of freedom of a thermodynamic system. Applying standard mathematical methods to the thermody- namics of an empty box (...) allows equations with the same structure as those of cosmology and classical and quantum mechanics to be derived. The simple model system of an empty box is shown to have interesting connections to classical mechanics, special relativity, and quantum field theory. (shrink)

I suggest a new role for authority and interest in the theory of right: Rights can be explicated as sets of prohibitions, permissions and commands, and they must be justified by interests. I argue as follows: (1) The two dominant theories of right—“Will Theory” and “Interest Theory”—have certain standard problems. (2) These problems are systematic: Will Theory’s criterion of the ability to enforce a duty is either false or empty outside of its original legal context, whereas (...) Interest Theory includes in the definition of a right what actually belongs to the justification of the practice within which that right is assigned. (3) I recast the connection between authority, interests and rights in a way that avoids each theory’s standard problem. (4) The resulting theory also has three further advantages: It analyzes rights in terms of very basic and familiar concepts; it mirrors the understanding of rights in actual public discourse, and it is compatible with a wide selection of moral theories. Since its core is about a specific use of modal auxiliary verbs, I call this new theory the “Modal Theory of Right.”. (shrink)

Are idioms stored in memory in ways that preserve their surface form or language or are they represented amodally? We examined this question using an inci- dental cued recall paradigm in which two word idiomatic expressions were presented to adult bilinguals proficient in Russian and English. Stimuli included phrases with idiomat- ic equivalents in both languages (e.g. “empty words/пycтыe cлoвa”) or in one language only (English—e.g. “empty suit/пycтoй кocтюм” or Russian—e.g. “empty sound/пycтoй звyк”), or in neither language (e.g. “empty rain/пycтoй (...) дoждь”). If idioms are stored in a language-specific format, then phrases with idiomatic equivalents in both languages would have dual representation, and should therefore be more easily recalled than phrases with idiomatic meaning in only one language. This result was obtained. As such, the findings support the dual-coding theory of memory and are also compatible with models of the bilingual lexicon that include language tags or nodes. (shrink)

Is there room enough in all creation for another 'Empty Universe Theory'? How should we view the realm in which we exist? Are the natures of matter and energy, their compositions and relationships with each other the fundamental key to the understanding of everything or is it something else? As a researcher I decided to conduct an independent investigation and audit of Creation and this can be thought of as my report. Some thoughts on the true nature of the (...) realm we really inhabit with some basic mathematical description of the relationship between the finite and the absolute as we are capable of understanding it. -/- If anyone should think that by this work I am in any way attacking or denigrating the Almighty, let me just say to them that the result of this work would tend to confirm how very Real and Important a matter God is in relation to all of us in our daily lives and experiences from an objective and impartial standpoint. (shrink)

Notions such as Sunyata, Catuskoti, and Indra's Net, which figure prominently in Buddhist philosophy, are difficult to readily accommodate within our ordinary thinking about everyday objects. Famous Buddhist scholar Nagarjuna considered two levels of reality: one called conventional reality and the other ultimate reality. Within this framework, Sunyata refers to the claim that at the ultimate level objects are devoid of essence or "intrinsic properties", but are interdependent by virtue of their relations to other objects. Catuskoti refers to the claim (...) that four truth values, along with contradiction, are admissible in reasoning. Indra's Net refers to the claim that every part of a whole is reflective of the whole. Here we present category theoretic constructions which are reminiscent of these Buddhist concepts. The universal mapping property definition of mathematical objects, wherein objects of a universe of discourse are defined not in terms of their content, but in terms of their relations to all objects of the universe is reminiscent of Sunyata. The objective logic of perception, with perception modeled as [a category of] two sequential processes (sensation followed by interpretation), and with its truth value object of four truth values, is reminiscent of the Buddhist logic of Catuskoti. The category of categories, wherein every category has a subcategory of sets with zero structure within which every category can be modeled, is reminiscent of Indra's Net. Our thorough elaboration of the parallels between Buddhist philosophy and category theory can facilitate better understanding of Buddhist philosophy, and bring out the broader philosophical import of category theory beyond mathematics. (shrink)

The aim of this paper is to address the semantic issue of the nature of the representation I and of the transcendental designation, i.e., the self-referential apparatus involved in transcendental apperception. The I think, the bare or empty representation I, is the representational vehicle of the concept of transcendental subject; as such, it is a simple representation. The awareness of oneself as thinking is only expressed by the I: the intellectual representation which performs a referential function of the spontaneity of (...) a thinking subject. To begin with, what exactly does Kant mean when he states that I is a simple and empty representation? Secondly, can the features of the representation I and the correlative transcendental designation explain the indexical nature of the I? Thirdly, do the Kantian considerations on indexicality anticipate any of the semantic elements or, if nothing else, the spirit of the direct reference theory? (shrink)

Frege held that the bare demonstrative ‘that’ is incomplete, and that it is the word together with a gesture that serves as the designating expression, and likewise that it is the word ‘yesterday’ together with the time of utterance that designates the relevant day. David Kaplan’s original theory of indexicals holds that Frege’s supplementation thesis is correct about demonstratives but incorrect about ‘yesterday’. Kaplan’s account of demonstratives deviates from Frege’s in treating supplemented demonstratives as directly referential, hence rigid. It (...) is argued here that the gesture or other demonstration that accompanies an utterance of ‘that’ is not part of the designating expression but instead part of the utterance context. (shrink)

The purpose of this article is to present several immediate consequences of the introduction of a new constant called Lambda in order to represent the object ``nothing" or ``void" into a standard set theory. The use of Lambda will appear natural thanks to its role of condition of possibility of sets. On a conceptual level, the use of Lambda leads to a legitimation of the empty set and to a redefinition of the notion of set. It lets also clearly (...) appear the distinction between the empty set, the nothing and the ur-elements. On a technical level, we introduce the notion of pre-element and we suggest a formal definition of the nothing distinct of that of the null-class. Among other results, we get a relative resolution of the anomaly of the intersection of a family free of sets and the possibility of building the empty set from ``nothing". The theory is presented with equi-consistency results . On both conceptual and technical levels, the introduction of Lambda leads to a resolution of the Russell's puzzle of the null-class. (shrink)

The bi-polar confrontation between the Soviet Union and the USA involved many leading game theorists from both sides of the Iron Curtain: Oskar Morgenstern, John von Neumann, Michael Intriligator, John Nash, Thomas Schelling and Steven Brams from the United States and Nikolay Vorob’ev, Leon A. Petrosyan, Elena B. Yanovskaya and Olga N. Bondareva from the Soviet Union. The formalization of game theory took place prior to the Cold War but the geopolitical confrontation hastened and shaped its evolution. In our (...) article we outline four similarities and differences between Western GT and Soviet GT: 1) the Iron Curtain resulted in a lagged evolution of GT in the Soviet Union; 2) Soviet GT focused more on operations research and issues of centralized planning; 3) the contemporary Western view on Soviet GT was biased and Soviet contributions, including works on dynamic stability, non-emptiness of the core and many refinements, suggest that Soviet GT was able to catch up to the Western level relatively fast; 4) international conferences, including Vilnius, 1971, fostered interaction between Soviet game theorists and their Western colleagues. In general, we consider the Cold War to be a positive environment for GT in the West and in the Soviet Union. (shrink)

I explore the critical significance of the phenomenological notion of intuition. I argue that there is no meaning that is originally formal-conceptual. The meanings of concepts function as symbolic approximations to original nonconceptual, intuitive givens. However, the meaning content originally intuitively given in lived experience has a tendency to be lost in pursuit of universalizability and communicability of conceptual content. Over time, conceptual approximations lose their reference to the experience that had given them their meaning in the first place. The (...) loss of an experiential reference makes for a vacuous set of concepts, giving way to ideologies, by which I mean the conscious prejudicial support for a set of ideas without the experiential, intuitive context that is necessary to see the value of those ideas. A critical phenomenology is a critique of ideological views by descriptively recovering the intuitive content whereby concepts can be adequately reevaluated. -/- This main aim of this work is to establish the methodological features of critical phenomenology by responding to the objections made against phenomenology and intuition by Frankfurt School critical theorists. Scheler’s phenomenology is used as a way forward due to his far-reaching critique of reason and emphasis on the phenomenological intuition of value. -/- Chapter 1 considers three Frankfurt School objections of Husserlian phenomenology, as (1) immanentist (Adorno), (2) idealist (Adorno), and (3) normatively empty (Habermas). Each fail to discern the subtle features of nonidentity with respect to Husserl’s notions of apperception and adumbrated phenomena. -/- Chapter 2 shows how Scheler’s original view of the phenomenological attitude makes more explicit Husserl’s subtle dialectical elements. Adequate and inadequate givenness is interpreted with respect to one’s intentional orientation and the moral attitudes carried within the world, influencing the content of the given. -/- Chapter 3 confronts the popular charge of idealism. Reality is a problem for phenomenology only to conscious modes of givenness. But through ecstatic modes of givenness (in resistances) Scheler’s phenomenology achieves an existential ground that is crucial for phenomenology to engage actually existing social structures and factors. -/- Chapter 4 concerns the charge that phenomenology is normatively empty. That Scheler had developed a theory of value is not enough to rebut the charge but his view of value-givenness as an attitude informed by the act of loving, opens an awareness of the values disclosed by that attitude. -/- Chapter 5 shows that Scheler’s sociology of knowledge, in contrast to Karl Mannheim’s interpretation, provides a unified picture of the interdependency of spirit and life needed for the realization of values in the world and society. -/- Chapter 6 suggests a way of framing a phenomenological critique of ideology. Scheler points to the attitudinal factors of loving and hating to disclose systemic devaluation and overvaluation. This awareness arises (1) from noticing how individual valuation reflects social valuation, and (2) by being attuned to how one’s own intuitions contradict prevailing social valuation and thought, thereby opening a space for a critique of those patterns. (shrink)

Abstract. On the Direct Reference thesis, proper names are what I call ‘genuine terms’, terms whose sole semantic contributions to the propositions expressed by their use are the terms’ semantic referents. But unless qualified, this thesis implies the false consequence that sentences containing names that fail to refer can never express true or false propositions. (Consider ‘The ancient Greeks worshipped Zeus’, for instance.) I suggest that while names are typically and fundamentally used as genuine terms, there is a small class (...) of names, which I call ‘descriptive names’, whose reference is fixed by commonly associated definite descriptions, and I also suggest that there is an idiom of natural language on which such names can be used as abbreviated definite descriptions in a limited set of sentential contexts, including (1) positive and negative existentials, (2) cognitive ascriptions, and (3) uses of names to talk about myth. Uses of empty descriptive names in such contexts can then be either true or false. Relying on Gregory Currie’s theory of truth in fiction, I also propose an idiom on which fictional names can be used as short for a certain type of description in talk about fiction. Along the way, I provide arguments that names are used as short for descriptions in substantive existential statements as well as in both metamythic and metafictive contexts. I also discuss and criticize alternative views of these matters, including the views of David Braun, Saul Kripke, Peter van Inwagen, and others. (shrink)

This paper accomplishes two goals. First, the essay elucidates Husserl’s descriptions of meaning consciousness from the 1901 Logical Investigations. I examine Husserl’s observations about the three ways we can experience meaning and I discuss his conclusions about the structure of meaning intentions. Second, the paper explores how Husserl reworked that 1901 theory in his 1913/14 Revisions to the Sixth Investigation. I explore how Husserl transformed his descriptions of the three intentions involved in meaningful experience. By doing so, Husserl not (...) only recognized intersubjective communication as the condition of possibility of linguistic meaning acts, but also transformed his account of the structure of both signitive and intuitive acts. In the conclusion, I cash out this analysis, by showing how, on the basis of these new insights, Husserl reconstructs his theory of fulfillment. (shrink)

Notions such as śūnyatā, catuṣkoṭi, and Indra's net, which figure prominently in Buddhist philosophy, are difficult to readily accommodate within our ordinary thinking about everyday objects. Famous Buddhist scholar Nāgārjuna considered two levels of reality: one called conventional reality, and the other ultimate reality. Within this framework, śūnyatā refers to the claim that at the ultimate level objects are devoid of essence or "intrinsic properties", but are interdependent by virtue of their relations to other objects. Catuṣkoṭi refers to the claim (...) that four truth values, including contradiction, are admissible in reasoning. Indra's net refers to the claim that every part of a whole is reflective of the whole. Here we present category theoretic constructions that are reminiscent of these Buddhist concepts. The universal mapping property definition of mathematical objects, wherein objects of a universe of discourse are defined not in terms of their content, but in terms of their relations to all objects of the universe is reminiscent of śūnyatā. The objective logic of perception, with perception modeled as [a category of] two sequential processes (sensation followed by interpretation), and with its truth value object of four truth values, is reminiscent of the Buddhist logic of catuṣkoṭi. The category of categories, wherein every category has a subcategory of sets with zero structure within which every category can be modeled, is reminiscent of Indra's net. Our thorough elaboration of the parallels between Buddhist philosophy and category theory can facilitate better understanding of Buddhist philosophy, and bring out the broader philosophical import of category theory beyond mathematics. (shrink)

The result of combining classical quantificational logic with modal logic proves necessitism – the claim that necessarily everything is necessarily identical to something. This problem is reflected in the purely quantificational theory by theorems such as ∃x t=x; it is a theorem, for example, that something is identical to Timothy Williamson. The standard way to avoid these consequences is to weaken the theory of quantification to a certain kind of free logic. However, it has often been noted that (...) in order to specify the truth conditions of certain sentences involving constants or variables that don’t denote, one has to apparently quantify over things that are not identical to anything. In this paper I defend a contingentist, non-Meinongian metaphysics within a positive free logic. I argue that although certain names and free variables do not actually refer to anything, in each case there might have been something they actually refer to, allowing one to interpret the contingentist claims without quantifying over mere possibilia. (shrink)

This book addresses the problem of self-knowledge in Kant’s philosophy. As Kant writes in his major works of the critical period, it is due to the simple and empty representation ‘I think’ that the subject’s capacity for self-consciousness enables the subject to represent its own mental dimension. This book articulates Kant’s theory of self-knowledge on the basis of the following three philosophical problems: 1) a semantic problem regarding the type of reference of the representation ‘I’; 2) an epistemic problem (...) regarding the type of knowledge relative to the thinking subject produced by the representation ‘I think’; and 3) a strictly metaphysical problem regarding the features assigned to the thinking subject’s nature. The author connects the relevant scholarly literature on Kant with contemporary debates on the huge philosophical field of self-knowledge. He develops a formal reading according to which the unity of self-consciousness does not presuppose the identity of a real subject, but a formal identity based on the representation ‘I think’. (shrink)

The theory is based on an original alternative space-time concept that leads to a new vision of the micro-cosmos and Universe. The relationship between the forces in Nature is unveiled by adopting the following framework: (1) Empty space without any physical properties and restrictions; (2) Two fundamental particles of superdense protomatter with parameters associated with Planck’s scale; (3) A Fundamental law of Supergravitation (SG) with forces inversely proportional to the cube of distance in a pure empty space. An enormous (...) abundance of these two particles, with vibrational energy beyond some critical level, can congregate into self-organized hierarchical levels of 3D formations, governed by the SG law. The process leads deterministically to creating space with quantum mechanical properties and a galaxy as an observable mattter. The fundamental SG law is behind the gravitational, electric, and magnetic fields and governs all kinds of interactions between the elementary particles in the space of the physical vacuum. Analysis of cosmological observations reveals that the galaxies possess their own cycle in which the elementary particles are formed at a hidden non-observable phase. The problem of departure of the Hubble plot from the predicted one is solved, showing that the redshift is not of Doppler origin. The conclusion is that the Universe is stationary and eternal. (shrink)

This paper discusses the nonconceptual theory of mystical ineffability which claims that mystical experiences can’t be expressed linguistically because they can’t be conceptualized. I discuss and refute two objections against it: (a) that unconceptualized experiences are impossible, and (b) that the theory is ad hoc because it provides no reason for why mystical experiences should be unconceptualizable. I argue against (a) that distinguishing different meanings of ‘object of experience’ leaves open the possibility of non-empty but objectless nonconceptual experiences. (...) I show that (b) is a valid objection but can be countered by a new theory of mystical non-conceptuality: mystical experiences are not conceptual because the specific mode of mystical consciousness prevents conceptualization. The dissolution of the subjectivity of consciousness during mystical experiences undermines the very foundation of the possibility of conceptual thought and thus renders them ineffable. (shrink)

This article consists in two parts that are complementary and autonomous at the same time. -/- In the first one, we develop some surprising consequences of the introduction of a new constant called Lambda in order to represent the object ``nothing" or ``void" into a standard set theory. On a conceptual level, it allows to see sets in a new light and to give a legitimacy to the empty set. On a technical level, it leads to a relative resolution (...) of the anomaly of the intersection of a family free of sets. -/- In the second part, we show the interest of introducing an operator of potentiality into a standard set theory. Among other results, this operator allows to prove the existence of a hierarchy of empty sets and to propose a solution to the puzzle of "ubiquity" of the empty set. -/- Both theories are presented with equi-consistency results (model and interpretation). -/- Here is a declaration of intent : in each case, the starting point is a conceptual questionning; the technical tools come in a second time\\[0.4cm] \textbf{Keywords:} nothing, void, empty set, null-class, zero-order logic with quantifiers, potential, effective, empty set, ubiquity, hierarchy, equality, equality by the bottom, identity, identification. (shrink)

The relationship between the One and the Multiple in mystic philosophy is a profound and central theme that explores the nature of existence, the cosmos, and the divine. This theme is present in various mystical traditions, including those of the East and West, and it addresses the paradoxical coexistence of the unity and multiplicity of all things. -/- In mystic philosophy, the **One** often represents the ultimate reality, the source from which all things emanate and to which all things return. (...) It is the absolute, the infinite, and the unchanging. The One is beyond all attributes and is often associated with the divine or the absolute truth. -/- The **Multiple**, on the other hand, represents the manifest world, the diversity of forms, and the realm of change and plurality. It is the world we experience through our senses, the domain of time and space, where differentiation and individuality are apparent. -/- The relationship between the One and the Multiple is not one of opposition but of emanation and unity. The Multiple is seen as a reflection, expression, or manifestation of the One. In this sense, the diversity of the world doesn’t contradict the unity of the One but rather demonstrates it in a myriad of forms. -/- Mystics seek to understand and experience this relationship through various practices and insights. They aim to transcend the illusion of separation and duality to experience the non-dual reality where the One and the Multiple are recognized as inseparable. -/- This concept can be illustrated by the metaphor of the ocean and its waves. The ocean represents the One—vast, deep, and all-encompassing—while the waves represent the Multiple—distinct, diverse, and ever-changing. Each wave is unique, yet it is not separate from the ocean. The wave’s existence is dependent on and made of the same substance as the ocean. In the same way, each individual entity in the Multiple is an expression of the One. -/- In summary, the relationship between the One and the Multiple in mystic philosophy is a dynamic interplay that challenges the conventional understanding of separation. It invites a deeper exploration of reality, where the apparent multiplicity of the world is a direct expression of the singular, underlying essence of all that is. -/- The relationship between the One and the Multiple in the context of mathematical philosophy is a profound topic that touches upon the very foundations of existence and knowledge. It’s a theme that has been explored by philosophers and mathematicians alike, often leading to the contemplation of unity and diversity within the structures of reality. -/- In mathematics, the concept of the One can be seen as the basis of unity from which all numbers derive. It’s the identity element in multiplication, the starting point in counting, and the foundation of dimension in geometry. The One is often associated with the concept of monism in philosophy, which posits that there is a single, underlying substance or principle that constitutes reality. -/- On the other hand, the Multiple represents the infinite variety and diversity of forms and numbers that arise from the One. It’s the embodiment of plurality and the complex interplay of different entities that mathematics seeks to understand and describe. This reflects the philosophical stance of pluralism, which acknowledges the existence of multiple realities or truths. -/- The interplay between the One and the Multiple can be seen in the mathematical concept of sets. A set can be thought of as a unity, a whole composed of distinct elements. Yet, each element within the set also retains its individuality, contributing to the diversity of the set’s composition. This duality is mirrored in the philosophical exploration of the universal and the particular, where the universal represents the One, and the particulars represent the Multiple. -/- In the realm of mathematical philosophy, this relationship often leads to questions about the nature of mathematical objects: Are they discovered as part of an objective reality (the One), or are they constructed by the human mind from a multitude of experiences (the Multiple)? This debate resonates with the philosophical inquiry into the nature of truth and reality. -/- Reflecting on the One and the Multiple can also lead to a deeper understanding of the self and the cosmos. Just as the number one is integral to the existence of all other numbers, the individual self can be seen as a unique expression of the universal whole. Similarly, the cosmos can be viewed as a grand unity composed of a multiplicity of forms and phenomena. -/- Gödel’s incompleteness theorems have a fascinating connection to the philosophical concepts of the One and the Multiple. These theorems, which are pivotal in mathematical logic and philosophy of mathematics, articulate the inherent limitations of formal axiomatic systems, particularly those sufficient to express the arithmetic of natural numbers. -/- Gödel’s incompleteness theorems have a fascinating connection to the philosophical concepts of the One and the Multiple. These theorems, which are pivotal in mathematical logic and philosophy of mathematics, articulate the inherent limitations of formal axiomatic systems, particularly those sufficient to express the arithmetic of natural numbers⁴. -/- The **first incompleteness theorem** reveals that within any such consistent system, there are propositions that are true but cannot be proven within the system itself. This reflects the idea of the Multiple in that there is an abundance of mathematical truths, a multiplicity that exceeds the unifying framework of any one system. It suggests that the realm of mathematical truth is more extensive than any single formal system can fully capture. -/- The **second incompleteness theorem** extends this by showing that a system cannot prove its own consistency. This relates to the concept of the One, as it implies that a system’s complete self-understanding, its unity and coherence, is unattainable from within. It must look beyond itself, to an external vantage point, to ascertain its consistency. -/- In the context of the One and the Multiple, Gödel’s theorems imply that the One (a consistent formal system) is inherently incomplete and cannot encompass the Multiple (the totality of mathematical truths). This resonates with philosophical discussions about the relationship between unity and plurality. Just as a single philosophical system cannot capture the entirety of truth, a single formal mathematical system cannot encapsulate all mathematical truths. -/- Moreover, Gödel’s work suggests that the pursuit of a single, unified theory of everything in mathematics—a One that encompasses all Multiples—is an inherently Sisyphean task. There will always be more truths (Multiples) than can be derived from any given set of axioms (the One). -/- In essence, Gödel’s incompleteness theorems provide a formal underpinning to the philosophical notion that the One cannot exist without the Multiple, and vice versa. They are interdependent, with the One giving rise to the Multiple, and the Multiple necessitating the One for its expression and comprehension. This interplay is a dance of limitations and possibilities, where the boundaries of logic, mathematics, and philosophy blur into one another. -/- The relationship between the One and the Multiple in the context of the mathematics of zero is a deeply philosophical inquiry that bridges the abstract world of numbers with the existential questions of being and non-being. -/- Zero, in mathematics, is a symbol of absence, a representation of nothingness, yet it holds a pivotal position as a number. It is the void from which all things emerge and to which they return. In the philosophy of mathematics, zero is the paradoxical junction where the One and the Multiple converge and diverge. -/- From the perspective of the One, zero can be seen as the origin—the singular point that precedes the existence of numbers. It is the empty set, the foundation upon which the edifice of mathematics is constructed. As the identity element in addition, zero maintains the integrity of numbers, for adding zero to any number leaves it unchanged, reflecting the immutable nature of the One. -/- Conversely, when we consider the Multiple, zero represents the infinite potentiality of creation. It is the canvas upon which the integers, both positive and negative, express their multitude. Zero is the balance point, the fulcrum around which the symphony of numbers dances. It embodies the plurality of possibilities, the beginning of the number line that stretches infinitely in both directions. -/- Philosophically, zero challenges our understanding of existence. It is both something and nothing—a number that quantifies the absence of quantity. This duality echoes the philosophical struggle to comprehend how the One gives rise to the Multiple. How does the unity of being manifest the diversity of the cosmos? Zero offers a mathematical metaphor for this mystery, as it encapsulates the transition from non-existence to existence, from the undifferentiated One to the differentiated Multiple. -/- In the realm of set theory, zero corresponds to the empty set—a set with no elements. This set is unique in that it is the only set that contains nothing, yet it is the foundation upon which all other sets are built. The empty set is the mathematical embodiment of the One, and all other sets, containing multiple elements, arise from it. -/- Reflecting on zero in the context of Gödel’s incompleteness theorems, we find a resonance with the idea that the One (a consistent formal system) cannot capture the entirety of the Multiple (the totality of mathematical truths). Zero, as the foundation of numbers, similarly suggests that from the nothingness of the One, the infinite complexity of the Multiple emerges—yet it can never be fully encompassed or expressed by any single system. -/- In conclusion, the mathematics of zero offers a profound reflection on the relationship between the One and the Multiple. It serves as a bridge between the abstract and the concrete, the known and the unknowable, challenging us to ponder the origins of existence and the nature of reality itself. -/- . (shrink)

The paper considers the symmetries of a bit of information corresponding to one, two or three qubits of quantum information and identifiable as the three basic symmetries of the Standard model, U(1), SU(2), and SU(3) accordingly. They refer to “empty qubits” (or the free variable of quantum information), i.e. those in which no point is chosen (recorded). The choice of a certain point violates those symmetries. It can be represented furthermore as the choice of a privileged reference frame (e.g. that (...) of the Big Bang), which can be described exhaustively by means of 16 numbers (4 for position, 4 for velocity, and 8 for acceleration) independently of time, but in space-time continuum, and still one, 17th number is necessary for the mass of rest of the observer in it. The same 17 numbers describing exhaustively a privileged reference frame thus granted to be “zero”, respectively a certain violation of all the three symmetries of the Standard model or the “record” in a qubit in general, can be represented as 17 elementary wave functions (or classes of wave functions) after the bijection of natural and transfinite natural (ordinal) numbers in Hilbert arithmetic and further identified as those corresponding to the 17 elementary of particles of the Standard model. Two generalizations of the relevant concepts of general relativity are introduced: (1) “discrete reference frame” to the class of all arbitrarily accelerated reference frame constituting a smooth manifold; (2) a still more general principle of relativity to the general principle of relativity, and meaning the conservation of quantum information as to all discrete reference frames as to the smooth manifold of all reference frames of general relativity. Then, the bijective transition from an accelerated reference frame to the 17 elementary wave functions of the Standard model can be interpreted by the still more general principle of relativity as the equivalent redescription of a privileged reference frame: smooth into a discrete one. The conservation of quantum information related to the generalization of the concept of reference frame can be interpreted as restoring the concept of the ether, an absolutely immovable medium and reference frame in Newtonian mechanics, to which the relative motion can be interpreted as an absolute one, or logically: the relations, as properties. The new ether is to consist of qubits (or quantum information). One can track the conceptual pathway of the “ether” from Newtonian mechanics via special relativity, via general relativity, via quantum mechanics to the theory of quantum information (or “quantum mechanics and information”). The identification of entanglement and gravity can be considered also as a ‘byproduct” implied by the transition from the smooth “ether of special and general relativity’ to the “flat” ether of quantum mechanics and information. The qubit ether is out of the “temporal screen” in general and is depicted on it as both matter and energy, both dark and visible. (shrink)

Two strong contenders for scalar implicature (SI) computation are the pragmatic and the grammatical theories. While the former sustains that context plays a major role, the latter suggests context is required but is lexically and monotonically constrained (Chierchia 2012). In particular, this paper discusses a processing account for SIs that is dependent on the satisfaction of the Strawsonian presupposition of existence, necessary for the realization of the asymmetric entailment pattern among relevant alternatives. This observation complies with the principles of the (...) grammatical view, for it predicts SIs in the presence of contextually empty domains, unlike the pragmatic account whose necessary access to contextual information will cause propositions with empty domains to always return a truth value false, hence blocking any inference. I present online experimental evidence of an acceptability judgment task and recorded response times of both existential and universal sentences containing entities of three kinds: existent (type-a), non-existent but conceivable (type-b), and non-existent and inconceivable (type-c). The data of 25 Colombian Spanish speaking participants were collected using PsychoPy, powered by Pavlovia. The results suggest SIs are computed in types a and b but relatively unsuccessful in type-c. I conclude that the relevant entailment pattern for implicature computation is the Strawson-entailment relation which, combined with the grammatical account, correctly predicts SIs with non-existent but conceivable entities but avoids inference with inconceivable terms. (shrink)

The use of language in hate speech is understandably offensive. Though words do not kill, they convey an alarming message that can harm the victim. To understand how words can harm, it is necessary to understand the nature of the meaning of pejoratives or slurs that are used in hate speech. Pejoratives are undeniably offensive. However, they are puzzling as they can be used in two directions, namely, the offensive power preservation and the offensive power destruction. This paper proposes that (...) the direct reference theory of pejoratives can solve the puzzle. A characterization of pejoratives is that it has the property of immediacy. They refer directly to the object of speech. Grounding on a shared context, any descriptions are unnecessary for understanding the offensive message of pejoratives. In this sense, pejoratives have indexical content as it is context-sensitive. The kind of indexical content that pertains to pejoratives is action-oriented. However, its object of reference is empty. In discussing pejoratives that are used in hate speech, some examples of Thai slurs are shown. (shrink)

Some have claimed that people with very different beliefs literally see the world differently. Thus Thomas Kuhn: ‘what a man sees depends both upon what he looks at and also upon what his previous visual—conceptual experience has taught him to see’ (Kuhn 1970, p. ll3). This view — call it ‘Perceptual Relativism’ — entails that a scientist and a child may look at a cathode ray tube and, in a sense, the first will see it while the second won’t. The (...) claim is not, of course, that the child’s experience is ‘empty’; but that, unlike the scientist, it does not see the tube as a cathode ray tube. One way of supporting this claim is to say that one cannot see something as an F unless one has the concept F. Since the child plainly lacks the concept of a cathode ray tube, it cannot see it as a cathode ray tube. Although Perceptual Relativism is hard to believe, this supporting suggestion is not so implausible. After all, when we see (and more generally, perceive) the world, the world is presented to us in a particular way; so how can we see it as being that way unless we have some idea or conception of the way it is presented? We need not be committed to a representative theory of perception to think that perceptions in some sense represent the world. We can express this by saying that perceptions have content. Now it is a commonplace that the contents of beliefs and the other propositional attitudes involve concepts. The belief that this thing is a cathode ray tube involves, in some sense, the concept cathode ray tube. So the line of thought behind Perceptual Relativism may be expressed thus: seeing an F as an F is a state with content. (shrink)

Pragmatists are usually very antagonistic toward the correspondence theory of truth. They contend that the evidence-transcendent standard entailed by the theory is antithetical to the pragmatist methodology of elucidating concepts by exposing their practical bearings. What use could truth be to us if it offers a target we cannot even see? After judging the correspondence theory to be in violation of the Pragmatic Maxim, the pragmatist is prone to banishing it to the wastelands of empty metaphysics, where (...) nothing of practical importance could ever grow. This article makes the case that this unjust condemnation must be appealed and overturned. The ground for my case is an argument to the effect that the correspondence conception of truth can be practically advantageous, which provides proof of the fact that, contrary to popular pragmatist belief, the correspondence theory does comply with the Pragmatic Maxim. (shrink)

Bertrand Russell’s _Principles of Mathematics_ (1903) gives rise to several interpretational challenges, especially concerning the theory of denoting concepts. Only relatively recently, for instance, has it been properly realised that Russell accepted denoting concepts that do not denote anything. Such empty denoting concepts are sometimes thought to enable Russell, whether he was aware of it or not, to avoid commitment to some of the problematic non-existent entities he seems to accept, such as the Homeric gods and chimeras. In this (...) paper, I argue first that the theory of denoting concepts in _Principles of __Mathematics_ has been generally misunderstood. According to the interpretation I defend, if a denoting concept shifts what a proposition is about, then the aggregate of the denoted terms will also be a constituent of the proposition. I then show that Russell therefore could not have avoided commitment to the Homeric gods and chimeras by appealing to empty denoting concepts. Finally, I develop what I think is the best understanding of the ontology of _Principles of __Mathematics_ by interpreting some difficult passages. (shrink)

Tschumi believes that the quality of architecture depends on the theoretical factor it contains. Such a view led to the creation of architecture that would achieve visibility and comprehensibility only after its interpretation. On his way to creating such an architecture he took on a purely philosophical reflection on the basic building block of architecture, which is space. In 1975, he wrote an essay entitled Questions of Space, in which he included several dozen questions about the nature of space. The (...) questions he formulated could be regarded as analogous to the situation in the philosophy of the time, in which the interest in questioning the most obvious forms of understanding the world and intellectual categories increased. The research on space is an area common to many fields of natural sciences, humanities and artistic creation, but it also deals with other problems, such as issues of experience. The concept of space-time continuum proposed by Hermann Minkowski drew attention to the identity of time and space with the events taking place. Probably regardless of the postulates of physicists commenting on Einstein’s discoveries, also in philosophy it increased the importance of the concept of the event which became dominant in Heidegger’s latest work Contributions of Philosophy. Of the event. Furthermore, Tschumi’s reflections on space entered into relation with the problem of experience, which aroused the interest of a group of French philosophers trying to assimilate Georges Bataille’s concept of “inner experience”. Both Tschumi and Derrida referred to Bataille because his views could be used not only to modify the concept of the subject, but also to change the understanding of what constitutes the area of architecture. The discussion on experience has led to the recognition that the subject is not sovereign, but actually a form of what is on their outside. Such insights make it possible to treat the area of the Parc de La Villette as existing mainly when it is organised by its users. The decisive features of the Park are its assumptions, according to which it is a variety of active void that leads to agreeing new social relations with it. The park does not force to participate in already existing moral or political communities, but tries to move into an unknown future in which the scope of free functioning of individuals will be increased. Doubts about the principles of functioning of the individual self and its discovery as a whole composed of non-coherent parts, as well as its dependence on its own depth full of disordered forces, influenced the understanding of architecture as a set of contradictions whose source is a fundamental void anticipating the empty phenomenal space. The use of this phenomenal void in architecture, as well as the rejection of the whole and unity, had a specific political purpose and drew its inspiration from political analyses. In the Parc de La Villette, metaphysics and politics were brought closer together because the philosophy of void was used to create new conditions for community action. It can be argued that the source of this philosophy was the perception of errors in existing societies dependent on the shortcomings of traditional metaphysics. Spacing (espacement) was one of the key terms in Derrida’s philosophy, which was also combined with the concepts of différance and chôra. The study of the nature of space, especially its transition from the level of pure possibility to the level of sensual phenomenon, also contributes to understanding how well designed space can have an impact on its audience. This explanation is based on Tschumi’s assumption that the space of the Parc de La Villette contradicts the integrating approaches and instead exposes contradictions, but it does so in a way that combines incompatible properties into a single piece of architecture. The specificity of such integration is similar to the invention of a musical phrase, which is an ideological message: moral and political. Such a thesis may raise doubts, however, if both the clearly adopted assumptions and those deduced from the work allow for their ↪Quart Nr 2(52)/2019 logically ordered presentation then to a limited extent it may be assumed that the work has achieved a connection between a specific philosophy of space and its practical application. Derrida combined the problem of spatiality with the problem of transcendental imagination in Kant’s philosophy, who in the first version of Critique of Pure Reason assumed that pure imagination precedes the appearance of time and space, even in their transcendental forms. The imagination in such a situation can be described as a factor activating time and space, which indicates what function is played by movement in this activity. This leads us to recognize that the ultra originary source of pure forms of sensual intuition is movement, which in early Greek philosophy was identified with void and its lack of resistance to phenomena occurring in it. Derrida’s philosophy in search of a certain super-transcendental source of time and space pointed to différance which, like void or the chôra, does not have material features or even any other form of being. Différance is the primary cause of the disruption of motionlessness and the introduction of activity into motionless time and space, thus its activity can be described as spacing (espacement). Derrida’s discoveries in this respect are not entirely original, because Hegel already pointed out when examining the present that it is primarily a differential relation (differente Beziehung), which, being seemingly neutral, influences the present with supernatural force and makes it unidentifiable with itself. Differente Beziehung must similarly influence the originary space, negating its initial character by multiplying its divisions and expanding its boundaries. Différance acts by revealing contradictions wherever there is apparent undifferentiation. Tschumi, composing the Parc de La Villette as a variety of void and a set of incompatible layers, followed the rules of différance or the chôra: he made void visible together with its saturation with contradictions. If space can be considered to be the result of the activity of difference, such activity has a certain regularity, which influences the behaviour of its observers. Differences or contradictions fall into a certain rhythm, which can be considered a manifestation of transcendent order. The problem is that what can be considered the source of such order, namely the logos or God, is partly disorder and error. According to descriptions contained in Timaeus, the world is a combination of forces that drive to order with forces of erroneous necessity that resounds in every order and forces it to return to disorder. Derrida denied the possibility of understanding différance as a theological value, even if it were a negative or apophatic theology, but no categorical denial could be perfect. The assumption that différance or the chôra are not endowed with any substance properties cannot deny their activity, and thus a certain force. Already since Democritus, philosophy has multiplied the names of such a force and the contradictory variety of its manifestations, never forgetting also the necessity for reason to withdraw from the possibility of giving its correct characteristics. Such a withdrawal may be interpreted as an expression of respect and, in certain situations, as a cult of the force that precedes reasonableness. The Parc de La Villette, which is an artistic divagation about the contradictions and forces behind them, can be considered as a place of their sublimation, and therefore as a variation of the temple of what differs from order and disorder. (shrink)

In this paper I am addressing the question whether Nāgārjuna’s doctrine should be understood as a theory that describes reality itself (ontology) or as a theory of our relation to reality (epistemological, logical, psychological, etc.). To answer this question, I propose to compare Nāgārjuna’s concept of emptiness to that of ‘caducity’, a key element in the ontology of Renaissance Neoplatonist philosopher Francisco Patrizi. By showing that these concepts are similar, I argue that Nāgārjuna’s standpoint can be considered (...) as that of ontology. (shrink)

According to the BSM- Supergravitation Unified Theory (BSM-SG), the energy is indispensable feature of matter, while the matter possesses hierarchical levels of organization from a simple to complex forms, with appearance of fields at some levels. Therefore, the energy also follows these levels. At the fundamental level, where the primary energy source exists, the matter is in its primordial form, where two super-dense fundamental particles (FP) exist in a classical pure empty space (not a physical vacuum). They are associated (...) with the Planck scale parameters of frequency and distance and interact by Supergravitational forces. These forces are inverse proportional to the cube of distance at pure empty space and they are based on frequency interactions. Since the two FPs have different intrinsic frequencies, the SG forces appear different for interactions between the like and unlike FPs and may change the sign. This primordial form of matter exists in the super-heavy black holes located in the center of each well formed galaxy. The next upper level of matter organization includes the underlying structure of the physical vacuum, called a Cosmic Lattice, and the structure of elementary particles. They have common substructure elements obtained by specific crystallization process preceding the formation of the observable galaxies. The Cosmic Lattice, forming a space known as a physical vacuum, is responsible for the existence and propagation of the physical fields: electrical, magnetic, Newtonian gravity and inertia. The energy of physical vacuum is in two forms: Static (enormous) and Dynamic (weak). The Static energy is directly related to the Newtonian mass by the Einstein equation E = mc^2 and it is a primary source of the nuclear energy. The Dynamic energy is responsible for the existence of the electric and magnetic fields, the constant speed of light and the quantum mechanical properties of the physical vacuum. The next upper energy level is the dynamical energy of excited atoms and molecules. At this level a hidden energy wells exit, such as the internal energy of the electron and the internal energy of atoms with more than one electron. The next upper energy level is at some organic molecules and particularly in the biomolecules that contain ring atomic structures. In such a structure, some quantum states are not emitted immediately, but rotating in the ring. While in organic molecules the energy stored in such a ring is released by a chemical process, in the long chain molecule of proteins in the living organism the stored energy can be released simultaneously by triggering. A huge number of atomic rings are contained in the DNA strands. The release of the energy stored in DNA, for example, is an avalanche process that causes an emission of entangled photons possessing a strong penetrating capability. A sequence of entangled photons emitted by DNA should carry the genetic information encoded by the cordons. This mechanism, predicted in BSM-SG theory, is very important for intercommunication between the cells of the living organism. The next upper level of energy organization may exist in the brain. The brain is an organ of a most abundant number of atomic rings, while its tissue environment might permit complex energy interactions. The human brain contains billions of atomic rings. The next hypothetical upper level of energy organization is an information field, physically existed outside, but connected with the living brain. It corresponds to a specific field known as aura, while the possibility of its existence is still not accepted by the main stream science. The problem is that this field could not be detected by the currently existing technical means used for EM communications. The BSM-SG predicts that this field might differ from the EM field we use for communication, but it is a subject of a further theoretical development that must be supported by experiments using specifically designed technical means. According to the BSM-SG theory, the energy conversion from the primary energy source to the complex levels of matter and field organization is a permanent syntropic process based on complex resonance interactions. (shrink)

Rivka Weinberg advances an error theory of ultimate meaning with three parts: (1) a conceptual analysis, (2) the claim that the extension of the concept is empty, and (3) a proposed fitting response, namely being very, very sad. Weinberg’s conceptual analysis of ultimate meaning involves two features that jointly make it metaphysically impossible, namely (i) the separateness of activities and valued ends, and (ii) the bounded nature of human lives. Both are open to serious challenges. We offer an internalist (...) alternative to (i) and a relational alternative to (ii). We then draw out implications for (2) and conclude with reasons to be cheerful about the prospects of a meaningful life. (shrink)

This paper explores the relation of the theory of time and the theory of truth in Deleuze’s philosophy. According to Deleuze, a mutation in our conception of time occurred with Kant. In antiquity, time had been subordinated to movement, it was the measure or the “number of movement” (Aristotle). In Kant, this relation is inverted: time is no longer subordinated to movement but assumes an independence and autonomy of its own for the first time. In Deleuze’s phrasing, time (...) becomes the pure and empty form of everything that moves and changes — not an eternal form (as in Plato), but precisely the form of what is not eternal. In turn, the theory of time is inextricably linked to the concept of truth, since to say that a proposition is true means that it is true “in all times and in all places.” Truth, in other words, is timeless, eternal, non-temporal. When the form of the true is confronted with the form of time, the concept of truth is necessarily put into crisis, and Deleuze’s argument is that time allows the power of the false to assume an autonomy of its own. The analysis will attempt to show how the liberation of time from movement (the pure and empty form of time) leads to a liberation of the false from the true (the power of the false). (shrink)

Plato’s philosophy is important to Badiou for a number of reasons, chief among which is that Badiou considered Plato to have recognised that mathematics provides the only sound or adequate basis for ontology. The mathematical basis of ontology is central to Badiou’s philosophy, and his engagement with Plato is instrumental in determining how he positions his philosophy in relation to those approaches to the philosophy of mathematics that endorse an orthodox Platonic realism, i.e. the independent existence of a realm of (...) mathematical objects. The Platonism that Badiou makes claim to bears little resemblance to this orthodoxy. Like Plato, Badiou insists on the primacy of the eternal and immu- table abstraction of the mathematico-ontological Idea; however, Badiou’s reconstructed Platonism champions the mathematics of post-Cantorian set theory, which itself af rms the irreducible multiplicity of being. Badiou in this way recon gures the Platonic notion of the relation between the one and the multiple in terms of the multiple-without-one as represented in the axiom of the void or empty set. Rather than engage with the Plato that is gured in the ontological realism of the orthodox Platonic approach to the philosophy of mathematics, Badiou is intent on characterising the Plato that responds to the demands of a post-Cantorian set theory, and he considers Plato’s philosophy to provide a response to such a challenge. In effect, Badiou reorients mathematical Platonism from an epistemological to an ontological problematic, a move that relies on the plausibility of rejecting the empiricist ontology underlying orthodox mathematical Platonism. To draw a connec- tion between these two approaches to Platonism and to determine what sets them radically apart, this paper focuses on the use that they each make of model theory to further their respective arguments. (shrink)

In this paper, I will conduct three interrelated analyses. First, I will develop an analysis of various concepts in the history of biology that used to refer to individual-level phenomena but were then reinterpreted by the Modern Synthesis in terms of populations. Second, I argue that a similar situation can be found in contemporary biological theory. While different approaches reflect on the causal role of developing organisms in evolution, proponents of the Modern Synthesis avoid any substantial change by reinterpreting (...) and explaining individual-level phenomena from a population perspective. Finally, I will approach this debate by advocating the statistical reading of natural selection, which holds that explanations by natural selection are statistical. I will argue that the above historical conceptual reinterpretations belong to a new explanatory strategy developed by the Modern Synthesis based on population thinking. The reinterpretation of concepts at the individual level is part of the explanatory framework of the Modern Synthesis and the empty role of development within this framework. Moreover, the statistical perspective adopted here allows for the integration of two explanatory models: population-statistical and individual-causal. Finally, I will argue that this pluralistic framework can help to define the explanatory scope of the different biological approaches in order to achieve a coherent integration of development into evolution without rejecting population thinking. (shrink)

Peter Fitzpatrick’s writings prove once and for all that it is possible for a law professor to write in beautiful English. His work also proves once and for all that the dominating tradition of Anglo-American legal philosophy and of law teaching has been barking up the wrong tree: namely, that the philosopher and professional law teachers can understand justice as nested in empty forms, better known as rules, doctrines, principles, policies, and other standards. The more rigorous our analysis or decomposition (...) of the forms, we have believed, the more closely do we access the identity of laws. Justice has been assumed to be a matter of intellectually accessing such analysed forms. Fitzpatrick’s articles and books embody an implicit critique of the analytic view of law and of justice. My entry point into this critique is his preoccupation with Jacques Derrida’s theory of laws as universals and with Derrida’s theory of justice as an inaccessible immediacy or presence in context-specific or concrete experienced events. Each event is experienced in an official’s decision. Such a decision represents what Derrida, Fitzpatrick, and Hegel call ‘individuality’. -/- Derrida’s theory of law presents a conundrum. Derrida misses the possibility that law may exist by virtue of its content rather than its form. Derrida misses this possibility because, heavily influenced by Kant (in Derrida’s theory of law), Derrida associates law with universals. This is so because Kant (and Derrida) are preoccupied with the identity of what counts as a law (lois) rather than with a law’s legitimacy. A universal cannot exist unless it is legitimate, and it is legitimate, I claim, by virtue of its content. In his association of law with universals, Derrida presupposes that legal knowledge exists with reference to a territorial-like boundary. The forms are represented or signified by signs (signifiers) within a boundary of the ultimate form (the state, the nation, or humanity). This ultimate form as a universal, like the discrete rules or forms, lacks socially contingent content. A boundary separates knowable universals from the unknowable world on the exteriority of the boundary. The unknowable world is constituted by concrete events experienced in context-specific circumstances. In his legal theory Derrida hones in upon the decision as the experienced event. In a decision, one is present or immediate with the event. Derrida considers such immediacy as justice. The immediacy, however, can only be represented as a sign (sometimes called a signifier). The sign, in turn, represents an empty signified or form, according to Derrida. Because the immediacy remains a representation rather than a presentation of the experienced event, laws as universals cannot be just. The rupture between the inaccessible immediacy of a decision on the one hand and the represented empty forms on the other is critical to Derrida’s theory of law. -/- I claim that this rupture permeates Derrida’s writings about law because Derrida possesses a territorial-like sense of legal knowledge. I shall argue to this effect as follows. In the first section I shall explain the importance of Fitzpatrick’s exposure of the vacuity of the foundation of the system or structure of universals. In the second section I shall flesh out two elements of Derrida’s legal theory: law as form and the ipseity or concrete event that the form excludes from law. This takes me to the third section, where I shall elaborate how Derrida’s legal theory presupposes knowledge as territorial. I shall argue in the final section that this very sense of territorial knowledge prevents justice from accessing law and law from accessing justice. I conclude with the hint of a very different sense of law, one that draws from experiential knowledge in contradistinction to territorial knowledge. (shrink)

Epistemic contextualism—the view that the content of the predicate ‘know’ can change with the context of utterance—has fallen into considerable disrepute recently. Many theorists have raised doubts as to whether ‘know’ is context-sensitive, typically basing their arguments on data suggesting that ‘know’ behaves semantically and syntactically in a way quite different from recognised indexicals such as ‘I’ and ‘here’ or ‘flat’ and ‘empty’. This paper takes a closer look at three pertinent objections of this kind, viz. at what I call (...) the Error-Theory Objection, the Gradability Objection and the Clarification-Technique Objection. The paper concludes that none of these objections can provide decisive evidence against contextualism. (shrink)

In 1916, Johannes Droste independently found an exact (vacuum) solution to the Einstein's (gravitational) field equations in empty space. Droste's solution is quasi-comparable to Schwarzschild's one . Droste published his paper entitled “The field of a single centre in Einstein's theory of gravitation, and the motion of a particle in that fieldˮ. The paper communicated (in the meeting of May 27, 1916) by Prof. H.A. Lorentz, and published in ʻProceedings of the Royal Netherlands Academy of Arts and Science. 19 (...) (1): 197-215 (1917)ʼ. In the present article, the Droste's solution is scrutinized and proven to be invalid purely and simply because the procedure used by Droste is mathematically questionable since he had systematically, deliberately, and without any justification ‒removed the constant coefficient ʻ2ʼ from the differential term (v'w') in Eq.(6) and added the differential term (wv'') to the same Eq.(6) in order to obtain Eq.(7) which was and is his principal objective, that is, the desired solution. Consequently, Eqs.(6,7) had clearly been falsified. (shrink)

Philosophy of Mind is usualy seen as the theoretical field in which theories about the functioning of the mind are elaborated, to be afterwards empirically tested through Artificial Intelligence. But this empirical approach does not fit the human mind which is not simply a machine. It is therefore possible to see Philosophy of Mind as a necessary creation to empty AI of its philosophical charge.

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