Self – organizing is closely connected to the phenomenon of life. The creation of complexity, which is necessary for the creation of life, is connected to the process of storing information in molecules of which the living cell is constituted. All living systems, either unicellular or multicellular organisms, are extremely complex systems compared to all the other species of the non living matter that exist in the Universe. Complexity is the result of effect processes, leading to systems with great organization, (...) containing large information stocks. This organization of the molecules of a living organism, a result of accumulation of information, is what makes them able to produce useful work. The useful work involves both the fulfillment of basic biological processes, such as metabolism and reproduction, and the further increase in the information content that builds up in living systems. This last process is subject to the great chain of evolution of biological systems, this development is governed by the law of natural selection. The capability of reproduction, mutation and metabolism are necessary conditions for the latter. (shrink)

This is a phenomenological study of the natural unfolding of awareness into non duality.

This paper describes the contemporary phenomenological understanding of subjectivity as non dual awareness.

A ‘duality’ is a formal mapping between the spaces of solutions of two empirically equivalent theories. In recent times, dualities have been found to be pervasive in string theory and quantum field theory. Naïvely interpreted, duality-related theories appear to make very different ontological claims about the world—differing in e.g. space-time structure, fundamental ontology, and mereological structure. In light of this, duality-related theories raise questions familiar from discussions of underdetermination in the philosophy of science: in the presence of (...) dual theories, what is one to say about the ontology of the world? In this paper, we undertake a comprehensive and non-technical survey of the landscape of possible ontological interpretations of duality-related theories. We provide a significantly enriched and clarified taxonomy of options—several of which are novel to the literature. (shrink)

The aim of this article is to discuss the extent to which certain substructural logics are related through the phenomenon of duality. Roughly speaking, metainferences are inferences between collect...

There are two foundational, but not fully developed, ideas in paraconsistency, namely, the duality between paraconsistent and intuitionistic paradigms, and the introduction of logical operators that express meta-logical notions in the object language. The aim of this paper is to show how these two ideas can be adequately accomplished by the Logics of Formal Inconsistency (LFIs) and by the Logics of Formal Undeterminedness (LFUs). LFIs recover the validity of the principle of explosion in a paraconsistent scenario, while LFUs recover (...) the validity of the principle of excluded middle in a paracomplete scenario. We introduce definitions of duality between inference rules and connectives that allow comparing rules and connectives that belong to different logics. Two formal systems are studied, the logics mbC and mbD, that display the duality between paraconsistency and paracompleteness as a duality between inference rules added to a common core– in the case studied here, this common core is classical positive propositional logic (CPL + ). The logics mbC and mbD are equipped with recovery operators that restore classical logic for, respectively, consistent and determined propositions. These two logics are then combined obtaining a pair of logics of formal inconsistency and undeterminedness (LFIUs), namely, mbCD and mbCDE. The logic mbCDE exhibits some nice duality properties. Besides, it is simultaneously paraconsistent and paracomplete, and able to recover the principles of excluded middle and explosion at once. The last sections offer an algebraic account for such logics by adapting the swap-structures semantics framework of the LFIs the LFUs. This semantics highlights some subtle aspects of these logics, and allows us to prove decidability by means of finite non-deterministic matrices. (shrink)

Many results in logic and mathematics rely on techniques that allow for concrete, often visual, representations of abstract concepts. A primary example of this phenomenon in logic is the distinction between syntax and semantics, itself an example of the more general duality in mathematics between algebra and geometry. Such representations, however, often rely on the existence of certain maximal objects having particular properties such as points, possible worlds or Tarskian first-order structures. -/- This dissertation explores an alternative to such (...) representations known as possibility semantics. Its core idea is to replace maximal objects with ordered systems of partial approximations. Although it originates in the semantics of modal logic and the representation of abstract ordered structures, I argue that it has far-reaching mathematical, foundational and philosophical significance, especially in the context of semiconstructive mathematics, a foundational framework that does not assume any fragment of the Axiom of Choice beyond the Axiom of Dependent Choices. -/- The dissertation is divided in two main parts. The first part explores various applications of the mathematical framework underlying possibility semantics to lattice theory and non-classical propositional logics. A major theme is the development of constructive dualities for various categories of lattices, which are related to standard non-constructive dualities via Vietoris constructions. -/- The second part of the dissertation explores the alternative foundational setting of semi-constructive mathematics, focusing on three applications of possibility semantics for classical first-order logic to the philosophy of the mathematical infinite. In particular, we introduce generic powers, a semi-constructive analogue of ultrapowers in classical model theory, and we explore the merits of these structures from a foundational, conceptual and historical viewpoint. (shrink)

The Platform Sutra, which dates back to the seventh century C.E., is one of the classic documents of Chinese philosophy and is the intellectual autobiography of Hui Neng, the Sixth Patriarch of Ch’an Buddhism. In the Platform Sutra, the Sixth Patriarch demonstrates that the spiritual and intellectual problems of consciousness stem from a false adherence to the dualistic standpoint. The Sixth Patriarch utilizes ingenious arguments to demonstrate how one can escape the problems of dualism. An example of a constructive engagement (...) between Chinese philosophy and Searle is to compare and contrast the arguments of Hui Neng with those of Searle. The Sixth Patriarch and Searle both reach a rather similar solution to the problem of dualism—to stop counting. In the case of the Sixth Patriarch, his solution possesses the goal of enabling the reader to achieve a spiritual liberation. Searle, in contrast, addresses the troubling epistemological problems of dualism. Searle proposes a causal monism: he claims consciousness is a state of the brain, that it is caused by processes in the brain, that it is a feature of the brain, and that it is all these at the same time. This article aims to highlight Searle’s arguments and impressive insights; it also aims to show the connection between Searle’s master insight concerning the non-duality of consciousness and the Sixth Patriarch’s realization that the difficulties of understanding consciousness stem from the formulation of the description itself. (shrink)

A recent paper by Jakl, Jung and Pultr succeeded for the first time in establishing a very natural link between bilattice logic and the duality theory of d-frames and bitopological spaces. In this paper we further exploit, extend and investigate this link from an algebraic and a logical point of view. In particular, we introduce classes of algebras that extend bilattices, d-frames and N4-lattices to a setting in which the negation is not necessarily involutive, and we study corresponding logics. (...) We provide product representation theorems for these algebras, as well as completeness, algebraizability results for the corresponding logics. (shrink)

This blog post shows why atheism is a non issue within Hinduism. Through Aristotelian logic this brief essay proves how atheism is only relevant to Abrahamic religions. Hinduism does not exclude the middle, therefore the duality of theism-atheism does not arise.

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

This paper contrasts the conceptions of "Nothigness" and "nihility" in Western continental philosophy and Japanese philosophy. The experience of the Self, and the experiences of the transcendent, are constructed upon the prevalent assumptions of the culture that the individual finds herself in. The question of the relationship between the "I" and the "World" is differently solved (or stabilized, fixed) in different cultures. I seek to defend and interrogate the claim that Japan's core metaphysical stance is that of non-dualistic non-essentialism. In (...) Takeuchi Yoshimi's words, "Japan is nothing." By contrast, Europe is "something" - e.g., history, space, structure, being. The European metaphysics of self-understanding, at least in some aspects of Continental thought, is based on the primacy of being over nothingness, whereas Japanese metaphysics is based on the non-duality of substance and insubstantiality. Japanese metaphysics, Japanese self-identity, is "zero." Japanese metaphysics, including Buddhism, is based on the idea of nonsubstantiality, i.e. groundlessness of Being. We could say that in Japan "the transcendental center that consolidates the system is absent" (Karatani 1990: 70). This analysis illuminates how differently, and still productively, the experience of nihilism can appear in Japan and in the West. (shrink)

Shiva means nothing; nothing from which everything was created; created and manifested to be adorned and respected. Observers cannot exist when the whole world is in non-duality because all is one; no distinction between observers and observed would be possible. Therefore to satisfy the urge for an observer, Shakti or energy manifests itself as consciousness. Consciousness, the manifested gives us the ability to perceive and experience. Religion originates from our perception as a medium to bring in morality and humanity (...) and helps us experience reality. We emerge from nothingness and go back to nothingness. (shrink)

I believe that the Buddhist paradigm of the phenomenal world—particularly, the Buddhist assertion that the phenomenal world is not as it appears—is supported by a scientific analysis of perception. When we consider carefully the basics of human perception, as understood by modern science, it becomes clear that phenomenal events are not represented as they truly are. This infidelity of information transfer from external phenomena to personal experience is consistent with the Buddhist view of the world as 'illusory'. Further, I would (...) argue that the creation of an illusory external world by our sensory instrumentation is compatible with the Buddhist doctrine of the non-duality of perception and perceiver. (shrink)

In his book “Galileo’s Error”, Philip Goff lays out what he calls “foundations for a new science of consciousness”, which are decidedly anti-physicalist (panpsychist), motivated by a critique of Galileo’s distinction into knowable objective and unknowable subjective properties and Arthur Eddington’s argument for the limitation of purely structural (physical) knowledge. Here we outline an alternative theory, premised on the Interface Theory of Perception, that too subscribes to a “post-Galilean” research programme. However, interface theorists disagree along several lines. 1. They note (...) that Galileo’s distinction should be replaced by a truly non-dual account, referring to a difference of degree only. 2. They highly appreciate the role of mathematics, in particular when it comes to actually engage scientifically with consciousness. Some notable features of the interface theory are its skepticism towards our epistemic capacities and its rejection of the existence of a public, mind-independent reality. In addition, some interface theorists further employ a thin concept of “conscious agency” to ground their theory. The interface theory leaves open many of the problems of consciousness science (e.g. what is a “self”?) as questions for further (scientific, mathematical) research. (shrink)

Abstract The purpose of this article is to analyze how the objects relations in an object-oriented ontology of Graham Harman occur and go on. We believe that the Harman concept is one of the main achievements of modern philosophy, it is allows us to get a keys to solve the problem of objectivity as such, to gain access to an object uncorrelated by the subject of knowledge. Basing on the presented scheme of the object, the author postulates the absence of (...) the subject and subject-object relations based on correlations, thereby solving the problem of objectivity in a radical way. However, Harman's object-oriented ontology does not explain how the relationship between uncorrelated objects occurs. To solve this problem, it is necessary to find a description of the mechanism of interaction between objects in which the object remains real, i.e. uncorrelated, and at the same time sensual - accessible to perception and interaction. To describe the mechanism of objects interaction we turn to the concept of deconstruction of Jacques Derrida. The application of deconstruction to the analysis of the relationships between objects in Graham Harman`s object-oriented ontology allows us to “deabsolute” correlationism in its status as the only possible way of relations between objects and, at the same time, keep it as a mean of how objects interact. To explain how such objects exist, we have developed our own method for describing these relationships. We have developed a method that allows us to substantiate how the accessible-not accessible nature of the object is possible. We find a logical explanation of the nature of the relationship between objects in the Albert Camus`s philosophy, who, in turn, builds his own method on one of Aristotle`s aporias. Using this method, we came to the conclusion that correlations necessarily arise during the objects interactions, which allows them to manifest themselves as accessible. But at the same time, the existence of objects by themselves is carried out without correlations. Correlations are the condition for the appearance of a sensual object, but with the existence of real objects "in themselves", correlations are not possible. The method we propose shows that the relationship of objects is an inextricable duality of the sensual and real object, which manifests itself in their knowable-not knowable nature. Using this method in the study of nature of interaction between objects in an Harman`s object-oriented ontology gives an opportunity for a more profound understanding of the problem of objectivity as such. This issue requires more further work and discussion. It is worth mentioning that neither Harman, nor Derrida, nor Camus gave an explanation of how accessible-not accessible, that is, nondual objects, are possible. Their ideas postulated the need for such nature of objects (or knowledge about them, in the case of Camus), however, we have no mechanism explaining how such objects should exist, move, and function. So we made this mechanism. Its creation finally allowed not only to postulate non-duality, but also to explain how it is possible. (shrink)

A new, creative and compelling argument—even a new type of argument—for idealism is elaborated upon in this long-form essay, which is fluid and easy to read. I recently published a book with 10 new suggestive and compelling analytical arguments in favor of the primacy of consciousness over matter. I do believe that these arguments are a game changer. It is titles: "The Direct Experience, the way of non duality". Please checkout out on Amazon.

Applying Michel Henry’s philosophical framework to the phenomenological analysis of religious experience, the author introduces a concept of material introspection and a new theory of the constitution of religious experience in phenomenologically material interiority. As opposed to ordinary mental self-scrutiny, material introspection happens when the usual outgoing attention is reverted onto embodied self-awareness in search of mystical self-knowledge or union with God. Such reversal posits the internal field of consciousness with the self-disclosure of phenomenological materiality. As shown by the example (...) of Vedantic self-inquiry, material introspection is conditioned on the attitude ‘I “see” myself’ and employs reductions which relieve phenomenological materiality from the structuring influence of intentionality; the telos of material introspection is expressed by the inward self-transcendence of intentional consciousness into purified phenomenological materiality. Experience in material introspection is constituted by the self-affection and self-luminosity of phenomenological materiality; experience is recognized as religious due to such essential properties as the capacity of being selffulfilled, and specific qualitative “what it’s like”(s). Drawing on more than 5000 live accounts of internal religious experience, it is shown that introspective attention can have different trajectories, producing, within a temporal extension of material introspection, different spatial modifications of embodied selfawareness and a variety of corresponding religious experiences. (shrink)

Non-Tarskian interpretations of many-valued logics have been widely explored in the logic literature. The development of non-tarskian conceptions of logical consequence set the theoretical foundations for rediscovering well-known (Tarskian) many-valued logics. One may find in distinct authors many novel interpretations of many-valued systems. They are produced through a type of procedure which consists in altering the semantic structure of Tarskian many-valued logics in order to output a non-Tarskian interpretation of these logics. Through this type of transformation the paper explores a (...) uniform way of transforming finitely many-valued Tarskian logics into their non-Tarskian interpretations. Some general properties of carrying out this type of procedure are studied, namely the dualities between these logics and the conditions under which negation-explosive and negation-complete Tarskian logics become non-explosive. (shrink)

SINGULARITY: 12 Precepts for Transcendental Living | © 2022 Cromwell Black Publishing House | Original work by Luis Herrera. -/- Living transcendentally is not the same as ‘having the answers to life.’ The intention with which this book is written is to help you identify the God within yourself. Religion is a guidepost, but not the answer. Philosophy is a guidepost, not the answer. People that over-identify with one group or tribe for ideological reasons invariably meet with disappointment because there (...) will always be some tenets they internally oppose and disagree with. Yet they ignore their inner voice in order to ‘fit in with the rest.’ Man is a social animal and excommunication from the tribe has been tantamount to extinction of our lineage since our days as hunters and gatherers. By living transcendentally I have learned to acknowledge, welcome and accept the space between myself and my tribe. I invite you to do the same. -/- Learning to listen to the God within, I can trust my inner voice more because there is a message spoken there, uniquely for me, that will never be printed on the pages of the Bible, or the Koran, or the Tao Te Ching, or any other book for that matter. There’s only one YOU. Others may have your name, but not your identity. They may share your birth date and hospital, but not your parents. They may share your parents, but not your name. Do you see what I’m getting at here? Therefore how can a ‘one-size fits all’ religion, education or philosophy possibly answer the question to your meaning of life? There is no the meaning of life, because there is no the life. There are infinite lives, for which infinite meanings must be furnished. Hence the importance of learning to trust yourself, your inner voice, conscience – the God within. (shrink)

SINGULARIDAD: 12 Preceptos para la Vida Trascendental | © 2023 Cromwell Black Publishing House | Obra original por Luis Herrera. -/- Vivir trascendentalmente no es lo mismo que 'tener las respuestas a la vida.' La intención con la que se ha escrito este libro es ayudarte a identificar a Dios dentro de ti. La religión es una señal, pero no es la respuesta. La filosofía es una señal, pero no es la respuesta. Las personas que se identifican en exceso con (...) un grupo o tribu por razones ideológicas, inevitablemente se encuentran con la decepción porque siempre habrá algunos principios con los que internamente se opongan y estén en desacuerdo. Aun así, ignoran su voz interior para 'encajar con los demás.' El hombre es un animal social y la excomunión de la tribu ha sido equivalente a la extinción de nuestra línea desde nuestros días como cazadores y recolectores. Al vivir trascendentalmente, he aprendido a reconocer, acoger y aceptar el espacio entre mí y mi tribu. Te invito a hacer lo mismo. -/- Aprendiendo a escuchar al Dios que está dentro, puedo confiar más en mi voz interior porque hay un mensaje hablado allí, único para mí, que nunca será impreso en las páginas de la Biblia, el Corán, el Tao Te Ching o cualquier otro libro. Solo hay un TÚ. Otros pueden tener tu nombre, pero no tu identidad. Pueden compartir tu fecha de nacimiento y hospital, pero no tus padres. Pueden compartir tus padres, pero no tu nombre. ¿Ves a lo que me refiero aquí? Por lo tanto, ¿cómo puede una religión, educación o filosofía 'talla única' responder a la pregunta sobre el significado de la vida? No hay un significado de la vida, porque no hay una vida. Hay vidas infinitas, para las cuales deben proporcionarse significados infinitos. De ahí la importancia de aprender a confiar en ti mismo, tu voz interior, tu conciencia, el Dios que está dentro de ti. (shrink)

This thesis is a sceptical investigation into the notion that the metaphorical wave-particle binary of Virginia Woolf's To the Lighthouse is related to quantum physics. Indeed, the field of literature and science has employed conceptual similarities as the main means of connecting quantum concepts to novels, however, this has led to a host of scholarly difficulties, prompting the need for a re-examination of analogical linkages. Woolf is the model candidate for such a re-examination, given her historical and philosophical proximity with (...) the developments of quantum mechanics. To the Lighthouse, in particular, was written between 1925 and 1927: precisely when quantum physicists were attempting to resolve the wave-particle duality, leading to Niels Bohr's complementarity. This parallel has been noted by researchers as relevant to the novel, as it too displays a general binary that can be read as wave-particle-like, which the author also attempts to resolve along similar philosophical lines. Nevertheless, other than proximity and similarity, there are no reasons to affirm that the science is related to the novel; hence, it is an ideal case study to examine in order to ascertain the value of conceptual similarities in literature and science. To do so, To the Lighthouse's binary and its resolution are interpreted in a thesis-long close reading, in order to compare aspects of it firstly to Woolf's personal thought, and secondly to various non-quantum intellectual contexts that preceded and surrounded her. In doing so, it becomes clear not only that invoking quantum physics serves no clear purpose in better understanding the novel, but also that the notion of resolving wave- particle-like binaries was a widespread philosophical procedure at the turn of the century, decades before Bohr's concept. This negative conclusion interrogates what the scholarly value of interpreting similarities is, though a hypothetical solution can be found in conceptual metaphor theory. (shrink)

Recent research on algebraic models of _quasi-Nelson logic_ has brought new attention to a number of classes of algebras which result from enriching (subreducts of) Heyting algebras with a special modal operator, known in the literature as a _nucleus_. Among these various algebraic structures, for which we employ the umbrella term _intuitionistic modal algebras_, some have been studied since at least the 1970s, usually within the framework of topology and sheaf theory. Others may seem more exotic, for their primitive operations (...) arise from algebraic terms of the intuitionistic modal language which have not been previously considered. We shall for instance investigate the variety of _weak implicative semilattices_, whose members are (non-necessarily distributive) meet semilattices endowed with a nucleus and an implication operation which is not a relative pseudo-complement but satisfies the postulates of Celani and Jansana’s strict implication. For each of these new classes of algebras we establish a representation and a topological duality which generalize the known ones for Heyting algebras enriched with a nucleus. (shrink)

The main objective o f this descriptive paper is to present the general notion of translation between logical systems as studied by the GTAL research group, as well as its main results, questions, problems and indagations. Logical systems here are defined in the most general sense, as sets endowed with consequence relations; translations between logical systems are characterized as maps which preserve consequence relations (that is, as continuous functions between those sets). In this sense, logics together with translations form a (...) bicomplete category of which topological spaces with topological continuous functions constitute a full subcategory. We also describe other uses of translations in providing new semantics for non-classical logics and in investigating duality between them. An important subclass of translations, the conservative translations, which strongly preserve consequence relations, is introduced and studied. Some specific new examples of translations involving modal logics, many-valued logics, para- consistent logics, intuitionistic and classical logics are also described. (shrink)

The book is a collection of papers and aims to unify the questions of syntax and semantics of language, which are included in logic, philosophy and ontology of language. The leading motif of the presented selection of works is the differentiation between linguistic tokens (material, concrete objects) and linguistic types (ideal, abstract objects) following two philosophical trends: nominalism (concretism) and Platonizing version of realism. The opening article under the title “The Dual Ontological Nature of Language Signs and the Problem of (...) Their Mutual Relations” provides a broad introduction into the problem area connected with this differentiation, while the logic-formal characteristics of the distinction are framed in the work entitled “On the Type-Token Relationships” (Chapter 1). The basic part of the book deals with issues relating to syntax (Chapters 2-4) and semantics of language (Chapters 5-6), as well as pertaining to syntactic-semantic pragmatic questions (Chapters 7-13). Throughout the book, language, categorial language, is characterized syntactically as generated by classical categorial grammar (Chapter 2) and formalized on two opposing levels: as language of expression-tokens (level of tokens) and language of expression-types (level of types). The author’s considerations contained in Chapters 2 and 4 lead to the important philosophical conclusion that in formal-logical syntactic studies on language the assumption that expression-types constitute the primary language layer while expression-tokens make the secondary one, can be neglected; thus, this speaks in favour of the opposing standpoint—the concretistic one—in the ontology of language syntax. In the works “Meaning and Interpretations”, Parts I and II (Chapters 5 and 6), it is underlined, however, that such semantic concepts as: meaning, denotation and interpretation are defined on the types level, yet their formal definitions require making use of notions of the tokens level. The semantic notions introduced in the above-mentioned articles are also used in the following works of the present selection, under the titles: “Three Principles of Compositionality” and “On Metaknowledge and Truth” (Chapters 7 and 8). They formalize two principles of compositionality that are well known in the literature on the subject, deriving from Frege, i.e. those of meaning and of denotation; they are related to the syntactic principle of compositionality which was introduced by the author. All the three principles are, at the same time, three conditions of homomorphism of categorial language algebra into three kinds of non-standard models of language (one syntactic and two semantic ones: intensional and extensional), which allows introducing three definitions of truthfulness into these models. The next two works in the collection, entitled: “On Language Adequacy” and “What is the Sense in Logic and Philosophy of Language” (Chapters 9 and 10) concern adequacy of categorial language syntax along with its dual semantics: intensional and extensional, and categorial compatibility of any of its syntactic categories with two corresponding semantic categories: intensional and extensional, based on the compatibility the syntactic category of each language expression with the ontological category assigned to its denotatum. The well-known problem of categorial compatibility for first-order quantifiers finds its solution in the paper “Categories of First-Order Quantifiers” (Chapter 11). In the work “Logic and Ontology of Language” (Chapter 12), being in a sense a summary of the considerations presented in the preceding chapters of the book, language is treated as an ontological being, characterized in compliance with the logical conception of language proposed by Ajdukiewicz. Application—like throughout the book—of tools of classical logic and set theory has resulted in emergence of a general formal logical theory of syntax, semantics and pragmatics of language, which takes into account duality in the understanding of linguistic expressions as tokens (concretes) and types (abstract objects). In terms that take into account a functional approach to language itself, there comes out an ontological neutrality of logic with respect to existential assumptions relating to the ontological nature of linguistic expressions and their extra-linguistic ontological counterparts. The issues connected with applying logic while explaining the manner of using linguistic tokens and linguistic types to determine notions of language communication are raised and illustrated in the last chapter of the work, bearing the title “A Logical Conceptualization of Knowledge on the Notion of Language Communication”. (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 explores Śaṅkara's position on autonomous consciousness, or cit, as the fundamental reality. As such, cit transcends subject/object duality, and Śaṅkara holds that consciousness is ultimately nirviṣayaka or non-intentional. I compare and contrast the Advaita view with the contemporary Phenomenological account, wherein consciousness is held to be essentially intentional, so that consciousness is always of or about some object or content, and where consciousness without an object is deemed conceptually impossible.

The Upanishads reveal that in the beginning, nothing existed: “This was but non-existence in the beginning. That became existence. That became ready to be manifest”. (Chandogya Upanishad 3.15.1) The creation began from this state of non-existence or nonduality, a state comparable to (0). One can add any number of zeros to (0), but there will be nothing except a big (0) because (0) is a neutral number. If we take (0) as Nirguna Brahman (God without any form and attributes), then (...) from where and how did the universe come into existence? -/- The neutral power (0) cannot produce anything without having an element of duality in it. Although Nirguna Brahman is neutral, it has a positive, negative, and neutral pole, constituting its Prakriti or nature. Prakriti has three latent Gunas (modes or qualities): Satva, Rajas, and Tamas. They are related to Gyana Shakti (the power of knowledge) Sankalpa Shakti (the power of ideation), and Kriya Shakti (the power of action). Science says that Atom is the basic element from which the universe evolved. The Atom has three nuclei- electron, pluton, and neutron. The Satva, Rajas, and Tamas in Indian spirituality are nothing but the mystical names for the nuclei of an atom. -/- According to Bhagavata Purana, Prakriti is also constituted of the elements of Time, Karma (action/destiny) and Swabhava (innate nature). Time disturbs the equilibrium of Gunas. From the aspect of Karma is produced an entity called Mahat, in the form of intelligence. Mahat is dominated by Satva and Rajas. From Mahat manifests the next evolute dominated by Tamas with three predominant qualities – Dravya (substance), Kriya (action), as well as intelligence. It forms to become the Ego principle (Ahamkara). -/- Ahamkara has three modes – Satvic, Rajasic and Tamasic. Satvic is Jnana oriented, Rajasic action-oriented and Tamasic Dravya (substance) oriented. From the Tamasic Ahankara, five gross elements are produced (ether, air, fire, water, and earth - Akash, Vayu, Agni, Jal and Prithvi). From the Satvic Ahamkara, guardian deities (the sun and moon, deities of sense organs, and organs of action) and from Rajasic Ahamkara, ten senses (Indriyas), five senses of perception, five organs of action, the faculties of intellect and Prana (life breath) are produced. -/- Bhagavata says that since these energies, elements, and faculties remained disassociated, they were combined to form a Cosmic Egg. The egg floats in the primal waters for a thousand years. Then God enters this Cosmic Egg and manifests himself as the Cosmic Purusha. He is the first nucleus, the God particle equivalent to the number (1) which is the embodiment of everything in the universe. The concept of creation and dissolution in Hinduism can be compared to the waves in an ocean that appear and disappear incessantly. The Manvantaras are such successive episodes of creation emerging from the Cosmic Person, the Manu who is embodied God-Consciousness, God himself. These episodes of creation are measured in Hinduism in terms of Manvantaras, the epochs of Manus. -/- Manu is the ‘First-Born’ (1) of God, the Cosmic Purusha from whom the world has originated. This Cosmic Person (Purusha) has been described as having fourteen biospheres (heavens) that are inhabited by various life forms in the order of evolution of consciousness. If we begin from the human biosphere (Bhuloka), there are ten astral biospheres that a man must transcend to attain liberation or Mukti from the cycle of births and deaths. -/- The number (1) produces the primary numbers up to (9) through the transmutation of the creational energies and qualities. The process can be related to the descent and cyclical evolution of (1) through ten spiritual stages, finally merging with the nondual (0). The number (10) marks the merger of (1) with (0). The Hindu worldview is that all life forms in an episode of creation must evolve to become one with the non-dual state (0) to attain liberation from the cycle of births and deaths in a cyclical process. -/- . (shrink)

In this paper, I develop a comparison between the philosophies of Husserl and James in relation to their concepts of experience. Whereas various authors have acknowledged the affinity between James’ early psychology and Husserl’s phenomenology, the late development of James’ philosophy is often considered in opposition to Husserl’s transcendental phenomenology. This is because James’ radical empiricism achieves a non-dual dimension of experience that precedes the functional division into subject and object, thus contrasting with the phenomenological analysis of the dual structure (...) of intentionality. However, I argue that the later “genetic” development of phenomenology converges with some central aspects of James’ radical empiricism. This is because genetic phenomenology leads us to conceive of the flow of primal impressions as a fundamental dimension of experience that precedes the subject-object duality and is at the base of the process of co-constitution of the subject and the object in reciprocal dependence. At the same time, Husserl conceives of the impressional core of experience as structured by formal conditions that depend on the concrete constitution of an embodied subject. For this reason, I argue that Husserl’s genetic phenomenology can complement James’ radical empiricism, thus leading to the development of the doctrine of pure experience as a form of empirical and not metaphysical realism. (shrink)

Against those who contend that there is a basic duality between the moral and the non-moral good, or the right and the good, I articulate a form of realism that works with a unified conception of the good in which virtue and benefit are key concepts, and in which the “moral good” is not foundationally distinctive, but explicable in terms of the good for human beings. I argue: (a) that virtuous actions are such because and insofar as they (actually (...) or potentially) protect, preserve, secure, or promote the good for human beings, and (b) that being appropriately responsive to the good for human beings is (at least part of) what it is to be a virtuous person, where this form of responsiveness can itself be shown to be good for the one who is so. My proposal is one way of developing a schema for the relationship between virtue and the beneficial that is variously developed by Philippa Foot and Judy Thomson. The schema is that virtues are ways of doing and being that are necessary because and insofar as some human good hangs on them. (shrink)

This dissertation examines the theory of perceptual cognition laid out by the 7th century Buddhist scholar, Dharmakīrti, in his magnum opus, the Pramāṇavārttika. Like most theories of perception, both ancient and modern, the sensory cognition of ordinary objects is a topic of primary concern. Unlike other theorists, however, Dharmakīrti advances a technical definition of “perception” as a cognition which is both nonconceptual and non-erroneous. Dharmakīrti’s definition of perception is thereby deliberately inclusive of three additional types of “perceptual” cognition, in addition (...) to veridical sensory awareness: the nonconceptual mental apprehension of an immediately-preceding cognition (“mental perception”), the vivid appearance of soteriologically efficacious objects of contemplative practice (“yogic perception”), and the sheer unmediated presence of the contents of cognition—whatever these might be—to the cognizing mind (“reflexive awareness”). Through the logical examination of what it means to be aware of an object, Dharmakīrti demonstrates that the awareness of an object is just the awareness of a phenomenal form or cognitive image produced by that object. Pursuing this analysis further, however, Dharmakīrti argues that the very notion of an object of cognition that exists “externally” or outside the mind is incoherent. Additionally, Dharmakīrti maintains that the phenomenological structure of subject and object—that is, the “first-personal” sense of one’s own cognitions as pertaining to oneself (“for-me-ness”), together with the inseparably concomitant sense that the objects of cognition exist “out there” in an extramental world—is strictly a form of cognitive error. Therefore, because ordinary sensory cognition is inherently structured by this subject-object duality, ordinary sensory cognition must in the final analysis be understood as erroneous. According to Dharmakīrti, in other words, ultimately only the nondual “luminosity” of reflexive awareness is genuinely perceptual, because only reflexive awareness is undistorted by nature. In this way, Dharmakīrti’s epistemology provides a theoretical foundation for the advanced nondual contemplative practices of Indian and Tibetan Buddhism, particularly Mahāmudrā and rDzogs chen. (shrink)

Although there are several monistic and dualistic approaches to the mind-body problem on the basis of classical or quantum mechanics, thus far no consensus exists about a solution. Recently, the Elementary Process Theory (EPT) has been developed: this corresponds with a fundamentally new disciplinary matrix for the study of physical reality. The purpose of the present research was to investigate the mind-body problem within this newly developed disciplinary matrix. The main finding is that the idea of a duality of (...) body and mind has to be rejected as an incomplete representation of reality: in the universe of the EPT, man hás to be a trinity of body, spirit and soul, where ‘body’, ‘spirit’ and ‘soul’ are names for distinct physical things. The mind is then a mere idea that arises from (self-)experience, but without onto-logical connotation. In addition a mechanism for mental causation, which implies a principle of choice, is rigorously formulated. The main conclusion is that a fundamentally new physicalist approach to the mind-body problem, according to which man has a free will, has been formulated strictly within the language of the EPT. Further physical research is then required to describe how the interaction between body, spirit and soul is to be understood in terms of fundamental interactions. In addition, further philosophical-theological research has to establish whether the presently discussed trinity and the trinities of body, spirit and soul mentioned in the Bible and the Vedic texts are one and the same thing. -/- Edit: a revised version of this preprint has been published as a book chapter. (shrink)

This paper explores the intersection between Advaita Vedanta's non-dualistic conception of consciousness and the evolving field of quantum physics, offering a dialogue between ancient metaphysical insights and modern scientific thought. Advaita Vedanta, an Indian philosophical tradition, posits that consciousness is the fundamental reality, transcending the material world, which it views as an illusion, or Maya. Similarly, contemporary developments in quantum physics challenge the classical materialistic worldview by revealing that reality, at its most fundamental level, is interconnected, probabilistic, and observer-dependent. This (...) philosophical dialogue aims to bridge these two domains by examining how quantum phenomena, such as wave-particle duality, non-locality, and the observer effect, resonate with Advaita’s concept of Brahman as the ultimate, non-dual consciousness. By exploring parallels between these seemingly disparate fields, this paper questions the limitations of materialistic interpretations of consciousness and proposes that quantum physics could offer a scientific framework to support Advaita’s assertion that consciousness is the substratum of reality. The discussion further investigates how the observer effect in quantum mechanics might align with the Advaitic principle that reality is shaped by consciousness. This study contributes to contemporary debates in the philosophy of mind and philosophy of science by proposing a unified model of consciousness that transcends dualistic divisions between mind and matter, advancing the possibility of a deeper metaphysical understanding of the universe. (shrink)

This chapter does not presume to outline a new economic theory, nor a novel perspective on Jewish approaches to economy. Rather, it suggests the concept of pragmatic interestedness (PI) as means for thinking on the search for conscious or moral forms of capitalism. In short, pragmatic interestedness means that having interests is basic to human nature, and that interestedness is or can be non-egoistic and pro-social. This chapter proposes that PI, which has a significant role in normative Jewish tradition, can (...) contribute to the articulation of conscious capitalism. The chapter first defines what pragmatic interestedness is, and its opposite, namely disinterestedness (DI), which demands total impartiality. The second section considers the influential Christian concept of Agape or universal and egalitarian love, which is arguably at tension with eros and particular commitments (and with PI in this regard). It is argued that prominent modern philosophies secularize the Agape, especially Karl Marx’s Communism and Peter Singer’s Sentientism, in a way that marginalizes PI. The third section explores the appearance of pragmatic interestedness within rabbinic Jewish tradition, by (i) presenting the complicated duality of the concept of interest, (ii) emphasizing the recognition of human needs and interests in Judaism and (iii) highlighting Jewish sensitivity to the differences between various spheres of human commitment, and (iv) the role of market and economic considerations in Jewish tradition. The fourth section reflects more broadly on how PI may contribute to the conception of conscious or humane capitalism. (shrink)

In the act of knowing consciousness, the experience (experience) of a thing by another individual is put into it. All the components of the environment that manifest themselves in movement, sound, light, resistance, etc. become a source of introjection in the experience. As a result of animism, what exists outside of man is divided into an external world and an extra-world existence, and knowledge is differentiated into sensuous and non-empirical. The original naive empirical duality becomes a metaphysical dualism.

This paper is a brief (and hopelessly incomplete) non-standard introduction to the philosophy of space and time. It is an introduction because I plan to give an overview of what I consider some of the main questions about space and time: Is space a substance over and above matter? How many dimensions does it have? Is space-time fundamental or emergent? Does time have a direction? Does time even exist? Nonetheless, this introduction is not standard because I conclude the discussion by (...) presenting the material with an original spin, guided by a particular understanding of fundamental physical theories, the so-called primitive ontology approach. (shrink)

This dissertation concerns the active role of the organism in evolutionary theory. In particular, it concerns how our conception of the relationship between organism and environment, and the nature of natural selection, influences the causal and explanatory role of organismic activity and behavior in evolutionary explanations. The overarching aim is to argue that the behaviors and activities of organisms can serve both as the explananda (that which is explained) and the explanantia (that which explains) in evolutionary explanations. I attempt to (...) achieve this aim by offering three central arguments. First, that the organism-environment relation is the ontologically basic unit of biology. A common way of conceiving the relationship between organism and environment is as a duality—as two causally independent systems that overlap through interaction. I think this is a mistake. There cannot be organisms without environments and vice versa. They are codependent and codetermined. Second, that natural selection is an ecological process. By this I mean that natural selection acts primarily on organism-environment interactions. It is only in virtue of organisms interacting with their environments that there can be fitness differences amongst individual organisms in a population. The ecological approach to natural selection also entails that the nature of the system(s) of inheritance involved in the reoccurrence of favorable organism-environment interactions is, in principle, immaterial to the process of selection. It only matters for selection that organism-environment interactions actually do reoccur in subsequent generations. Third, that niche construction theory—the most well-developed theoretical and conceptual framework for studying how the activities of organisms influences evolutionary dynamics—can be seen as fully a compatible and integrated part of evolutionary theory. Together, these three arguments constitute an overarching argument. Namely that we both can, and should, take organismic activity and behavior to be crucial explanatory elements in evolutionary theory. Throughout the dissertation I also show how these three arguments have consequences for other debates in the philosophy of evolutionary theory, such as the nature of evolutionary processes, the structure of selection-based explanations, the validity and utility of the proximate-ultimate distinction, and the nature of teleology in evolutionary systems. (shrink)

Ambivalence is often presented through cases of defeated ambivalence and multivalence, in which opposed attitudes suggest mutual isolation and defeat each other. Properly understood, however, ambivalence implies the existence of poles that are conflictually yet rationally interlinked and are open to non-defeated joint conduct. This paper considers cases that range from indecisiveness and easy adoption of conflicting attitudes, to tragically conflicted deliberation and to cases of shifting between self-deceptively serious attitudes. Analyzing such cases as variants of defeated ambivalence, I argue (...) that the phenomena of defeated ambivalence are marginal to ambivalence even though they are by the same token exemplary of it. The poles in such cases are connected as opposing attitudes in such a way that the attitudes and the opposition are both undermined. The article focuses on two forms of vague multivalence, one of which is taken from Heidegger’s analysis of curiosity. (shrink)

We develop a Priestley-style duality theory for different classes of algebras having a bilattice reduct. A similar investigation has already been realized by B. Mobasher, D. Pigozzi, G. Slutzki and G. Voutsadakis, but only from an abstract category-theoretic point of view. In the present work we are instead interested in a concrete study of the topological spaces that correspond to bilattices and some related algebras that are obtained through expansions of the algebraic language.

In this essay, we consider the formal and ontological implications of one specific and intensely contested dialectical context from which Deleuze’s thinking about structural ideal genesis visibly arises. This is the formal/ontological dualism between the principles, ἀρχαί, of the One (ἕν) and the Indefinite/Unlimited Dyad (ἀόριστος δυάς), which is arguably the culminating achievement of the later Plato’s development of a mathematical dialectic.3 Following commentators including Lautman, Oskar Becker, and Kenneth M. Sayre, we argue that the duality of the One (...) and the Indefinite Dyad provides, in the later Plato, a unitary theoretical formalism accounting, by means of an iterated mixing without synthesis, for the structural origin and genesis of both supersensible Ideas and the sensible particulars which participate in them. As these commentators also argue, this duality furthermore provides a maximally general answer to the problem of temporal becoming that runs through Plato’s corpus: that of the relationship of the flux of sensory experiences to the fixity and order of what is thinkable in itself. Additionally, it provides a basis for understanding some of the famously puzzling claims about forms, numbers, and the principled genesis of both attributed to Plato by Aristotle in the Metaphysics, and plausibly underlies the late Plato’s deep considerations of the structural paradoxes of temporal change and becoming in the Parmenides, the Sophist, and the Philebus. After extracting this structure of duality and developing some of its formal, ontological, and metalogical features, we consider some of its specific implications for a thinking of time and ideality that follows Deleuze in a formally unitary genetic understanding of structural difference. These implications of Plato’s duality include not only those of the constitution of specific theoretical domains and problematics, but also implicate the reflexive problematic of the ideal determinants of the form of a unitary theory as such. We argue that the consequences of the underlying duality on the level of content are ultimately such as to raise, on the level of form, the broader reflexive problem of the basis for its own formal or meta-theoretical employment. We conclude by arguing for the decisive and substantive presence of a proper “Platonism” of the Idea in Deleuze, and weighing the potential for a substantive recuperation of Plato’s duality in the context of a dialectical affirmation of what Deleuze recognizes as the “only” ontological proposition that has ever been uttered. This is the proposition of the univocity of Being, whereby “being is said in the same sense, everywhere and always,” but is said (both problematically and decisively) of difference itself. (shrink)

There is a fundamental subsets–partitions duality that runs through the exact sciences. In more concrete terms, it is the duality between elements of a subset and the distinctions of a partition. In more abstract terms, it is the reverse-the-arrows of category theory that provides a major architectonic of mathematics. The paper first develops the duality between the Boolean logic of subsets and the logic of partitions. Then, probability theory and information theory (as based on logical entropy) are (...) shown to start with the quantitative versions of subsets and partitions. Some basic universal mapping properties in the category of Sets are developed that precede the abstract duality of category theory. But by far the main application is to the clarification and interpretation of quantum mechanics. Since classical mechanics illustrates the Boolean worldview of full distinctness, it is natural that quantum mechanics would be based on the indefiniteness of its characteristic superposition states, which is modeled at the set level by partitions (or equivalence relations). This approach to interpreting quantum mechanics is not a jury-rigged or ad hoc attempt at the interpretation of quantum mechanics but is a natural application of the fundamental duality running throughout the exact sciences. (shrink)

Quantum complementarity is interpreted in terms of duality and opposition. Any two conjugates are considered both as dual and opposite. Thus quantum mechanics introduces a mathematical model of them in an exact and experimental science. It is based on the complex Hilbert space, which coincides with the dual one. The two dual Hilbert spaces model both duality and opposition to resolve unifying the quantum and smooth motions. The model involves necessarily infinity even in any finitely dimensional subspace of (...) the complex Hilbert space being due to the complex basis. Furthermore, infinity is what unifies duality and opposition, universality and openness, completeness and incompleteness in it. The deduced core of quantum complementarity in terms of infinity, duality and opposition allows of resolving a series of various problems in different branches of philosophy: the common structure of incompleteness in Gödel’s (1931) theorems and Enstein, Podolsky, and Rosen’s argument (1935); infinity as both complete and incomplete; grounding and self-grounding, metaphor and representation between language and reality, choice and information, the totality and an observer, the basic idea of philosophical phenomenology. The main conclusion is: Quantum complementarity unifies duality and opposition in a consistent way underlying the physical world. (shrink)

Rather than regarding the occurring, massless, wave-like photon as an existing, massy particle, the two can be seen as opposites. This opposition carries over into how the two utilize dimensions: particle rest mass requires space to exist and always advances in time; photon kinetic energy cycles require time to occur and always advance in space. The photon and the inertial particle exchange the equalities that special relativity identifies: particle mass for photon energy and particle time advance for photon space advance. (...) They are inversely symmetrical. This symmetry provides a different approach to some traditional paradoxes in radiation and new insights into the double slit experiment, the wave function and even the measurement problem. (shrink)

Recent developments in pure mathematics and in mathematical logic have uncovered a fundamental duality between "existence" and "information." In logic, the duality is between the Boolean logic of subsets and the logic of quotient sets, equivalence relations, or partitions. The analogue to an element of a subset is the notion of a distinction of a partition, and that leads to a whole stream of dualities or analogies--including the development of new logical foundations for information theory parallel to Boole's (...) development of logical finite probability theory. After outlining these dual concepts in mathematical terms, we turn to a more metaphysical speculation about two dual notions of reality, a fully definite notion using Boolean logic and appropriate for classical physics, and the other objectively indefinite notion using partition logic which turns out to be appropriate for quantum mechanics. The existence-information duality is used to intuitively illustrate these two dual notions of reality. The elucidation of the objectively indefinite notion of reality leads to the "killer application" of the existence-information duality, namely the interpretation of quantum mechanics. (shrink)

We present an epistemological schema of natural sciences inspired by Peirce's pragmaticist view, stressing the role of the \emph{phenomenological map}, that connects reality and our ideas about it. The schema has a recognisable mathematical/logical structure which allows to explore some of its consequences. We show that seemingly independent principles as the requirement of reproducibility of experiments and the Principle of Sufficient Reason are both implied by the schema, as well as Popper's concept of falsifiability. We show that the schema has (...) some power in demarcating science by first comparing with an alternative schema advanced during the first part of the 20th century which has its roots in Hertz and has been developed by Einstein and Popper. Further, the identified differences allow us to focus in the construction of Special Relativity, showing that it uses an intuited concept of velocity that does not satisfy the requirements of reality in Peirce. While the main mathematical observation connected with this issue has been known for more than a century, it has not been investigated from an epistemological point of view. A probable reason could be that the socially dominating epistemology in physics does not encourage such line of work. We briefly discuss the relation of the abduction process presented in this work with discussions regarding ``abduction'' in the literature and its relation with ``analogy''. (shrink)

Respect for autonomy is a central moral principle in bioethics. The concept of autonomy can be construed in various ways. Under the non-ideal conceptualization proposed by Beauchamp and Childress, everyday choices of generally competent persons are autonomous to the extent that they are intentional and are made with understanding and without controlling influences. It is sometimes suggested that authenticity is important to personal autonomy, so that inauthenticity prevents otherwise autonomous persons from making autonomous decisions. Building from Beauchamp and Childress’s theory, (...) this article develops a non-ideal authenticity-based conceptualization of personal autonomy. Factors that indicate inauthentic decision-making are explicated, and the full concept is defended from three expected objections. The theory is then tested on a paradigm case which has concerned theorists and practitioners for some time, namely the possible inauthenticity of anorexia nervosa patients’ decision-making. It is concluded that the theory seems to be fruitful in analyses of the degree of autonomy of patients’ decision-making, and that it succeeds in providing reliable action-guidance in practical contexts. (shrink)

Derek Parfit defended Non-Realist Cognitivism. It is an open secret that this metaethical theory is often thought at best puzzling and at worst objectionably unclear. Employing truthmaker theory, I provide an account of Non-Realist Cognitivism that dispels charges of objectionable unclarity, clarifies how to assess it, and explains why, if plausible, it would be an attractive theory. I develop concerns that the theory involves cheating into an objection that ultimately reveals Non-Realist Cognitivism faces a dilemma. Whether it can escape demands (...) further attention. In bridging metaethics and the truthmaking literature, I illustrate the importance of greater meta-metaphysical reflection in metaethics. (shrink)

Non-naturalism – roughly the view that normative properties and facts are sui generis and incompatible with a purely scientific worldview – faces a difficult challenge with regard to explaining why it is that the normative features of things supervene on their natural features. More specifically: non-naturalists have trouble explaining the necessitation relations, whatever they are, that hold between the natural and the normative. My focus is on Stephanie Leary's recent response to the challenge, which offers an attempted non-naturalism-friendly explanation for (...) the supervenience of the normative on the natural by appealing to hybrid properties, the essences of which link them to both natural and sui generis normative properties in suitable ways. I argue that despite its ingenuity, Leary's solution fails. This is so, I claim, because there are no hybrid properties of the sort that her suggestion appeals to. If non-naturalists are to deal with the supervenience challenge, they will have to find another way of doing so. (shrink)

This paper argues that 'duality' accounts of time, as exemplified by Henri Bergson's, Edmund Husserl's, and John McTaggart's ideas, parallel the decomposition of temporal experience in depressive psychosis into objective and subjective dimensions of time. The paper also proposes to comprehend the full-fledged depressive temporal delusion, in which the subjective flow of time comes to a standstill, via the idea of a double orientation to reality characteristic of schizophrenic delusions. In the depressive temporal delusion a person claims that time (...) is not moving while simultaneously her cognitive orientation in temporal surroundings remains largely unaffected, hence the double orientation. The juxtaposition of temporal experience in depression with the temporal disorientation in dementia enables us to situate the depressive delusion regarding the flow of time in the middle of a proposed scale of the disintegration of normal temporal experience. (shrink)