In this paper, we develop a mathematical model of awareness based on the idea of plurality. Instead of positing a singular principle, telos, or essence as noumenon, we model it as plurality accessible through multiple forms of awareness (“n-awareness”). In contrast to many other approaches, our model is committed to pluralist thinking. The noumenon is plural, and reality is neither reducible nor irreducible. Nothing dies out in meaning making. We begin by mathematizing the concept of awareness by appealing to (...) the mathematical formalism of higher category theory. The beauty of higher category theory lies in its universality. Pluralism is categorical. In particular, we model awareness using the theories of derived categories and (infinity, 1)-topoi which will give rise to our meta-language. We then posit a “grammar” (“n-declension”) which could express n-awareness, accompanied by a new temporal ontology (“n-time”). Our framework allows us to revisit old problems in the philosophy of time: how is change possible and what do we mean by simultaneity and coincidence? Another question which could be re-conceptualized in our model is one of soteriology related to this pluralism: what is a self in this context? A new model of “personal identity over time” is thus introduced. (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)

A striking feature of post-modernism is its distrust of the subject. If the modern period, beginning with Descartes, sought in the subject a source of certainty, an Archimedian point from which all else could be derived, post- modernism has taken the opposite tack. Rather than taking the self as a foundation, it has seen it as founded, as dependent on the accidents which situate consciousness in the world. The same holds for the unity of the subject. Modernity, in its search (...) for a single foundation, held the subject to be an indissoluble unity. Post-modernism’s position, by contrast, is announced by Nietzsche: “The assumption of one single subject is perhaps unnecessary; perhaps it is just as permissible to assume a multiplicity of subjects, whose interaction and struggle is the basis of our thought and our consciousness in general? ...My hypotheses: The subject as multiplicity.” Given this, there is a natural correspondence between the success of post- modernism and the current interest in multiple personality disorder. In the latter, we actually have the experience of a “multiplicity of subjects” in their interaction and struggle. The subject stands there before us “as multiplicity.” It gives us a concrete case, one which raises some of the pressing questions associated with the post-modern denial of the subject. Confronting it, we ask: how real are the personalities composing the multiplicity of this disordered self? What, in fact, does this multiplicity tell us about the self? about its genesis and status? What does it reveal about “our thought and consciousness in general”? I plan, in the short compass of this paper, to sketch some answers to these questions. §1. A brief description of MPD. The American Psychiatric Association gives two criteria for (MPD) multiple personality disorder. First, and most obviously, there is “the existence within the person of two or more distinct personalities or personality states (each with its own relatively enduring pattern. (shrink)

This paper makes a novel linkage between the multiple-computations theorem in philosophy of mind and Landauer’s principle in physics. The multiple-computations theorem implies that certain physical systems implement simultaneously more than one computation. Landauer’s principle implies that the physical implementation of “logically irreversible” functions is accompanied by minimal entropy increase. We show that the multiple-computations theorem is incompatible with, or at least challenges, the universal validity of Landauer’s principle. To this end we provide accounts of both ideas (...) in terms of low-level fundamental concepts in statistical mechanics, thus providing a deeper understanding of these ideas than their standard formulations given in the high-level terms of thermodynamics and cognitive science. Since Landauer’s principle is pivotal in the attempts to derive the universal validity of the second law of thermodynamics in statistical mechanics, our result entails that the multiple-computations theorem has crucial implications with respect to the second law. Finally, our analysis contributes to the understanding of notions, such as “logical irreversibility,” “entropy increase,” “implementing a computation,” in terms of fundamental physics, and to resolving open questions in the literature of both fields, such as: what could it possibly mean that a certain physical process implements a certain computation. (shrink)

An analysis is presented of published methods that have been used by experimenters to justify the reliability of the theory of invasion of microorganisms into cultured cells. The results show that, to demonstrate this invasion, many experimenters used two or more methods that were based on independent technical and theoretical principles, and by doing so improved the reliability of the theory. Subsequently I compare this strategy of 'multiple derivability' with other strategies, discussed in the literature in relation to (...) the mesosome, a bacterial organelle that had been detected with the electron microsope, but which appeared later to be an artifact. I propose that different strategies have been applied in this problem, and multiple derivability may have been the decisive one. Finally I discuss the idea that multiple derivability may help to anchor theories in a larger network of theories. (shrink)

This paper considers negative triggers and the interpretation of simple sentences containing more than one occurrence of those items . In the most typical interpretations those sentences have more negative expressions than negations in their semantic representation. It is first shown that this compositionality problem remains in current approaches. A principled algorithm for deriving the representation of sentences with multiple negative quantifiers in a DRT framework is then introduced. The algorithm is under the control of an on-line check-in, keeping (...) the complexity of negation auto-embedding below a threshold of complexity. This mechanism is seen as a competence limitation imposing the ‘abrogation of compositionality’ observed in the so-called negative concord readings . A solution to the compositionality problem is thus proposed, which is based on a control on the processing input motivated by a limitation of the processing mechanism itself. (shrink)

In this perspective paper, I tried to explain that what will be the possible prospect of multiple functions in one and another through the chain rule of differentiation? The chain rule is a formula to compute the derivative of the functional composition of two or more functions. The chain rule provides us a technique for finding the derivative of composite functions, with the number of functions that make up the composition determining how many differentiation steps are necessary. The chain (...) rule in that what changes I noted, how it can be modified to reduce the differentiation process of multiple functions in one and another and implementing that process in the inverse of multiple functions in one and another, further proceedings them through the chain rule of differentiation with all prospects. Here I claim that the differentiation’s chain rule is not changed but the sequences of finding the derivative of multiple functions are changed. (shrink)

Irigaray's early work seeks to multiply possibilities for women's self-expression by recovering a sexual difference in which male and female are neither the same nor opposites, but irreducibly different modes of embodiment. In her more recent work, however, Irigaray has emphasized the duality of the sexes at the expense of multiplicity, enshrining the heterosexual couple as the model of sexual ethics. Alison Stone's recent revision of Irigaray supplements her account of sexual duality with a theory of bodily multiplicity derived from (...) Butler, Nietzsche, and certain German Romantics; but to the extent that Stone maintains the primacy of sexual duality, her revision fails to address the claims of multiplicity on their own terms. In this paper, I interpret a passage from Marcel Proust's novel, Sodom and Gomorrah, in order to develop an alternative theory of sexual difference in which sexual duality is affirmed in relation to a third, unsexed but sexual force which multiplies the possibilities for sexual pleasure beyond heterosexual coupling. Proust's emphasis on sexed ``parts'' rather than sexed morphologies is generative of maximally diverse combinations, all of which are equally natural and equally enhanced through artifice. (shrink)

Recent breakthroughs in stem cell differentiation and reprogramming suggest that functional human gametes could soon be created in vitro. While the ethical debate on the uses of in vitro generated gametes (IVG) was originally constrained by the fact that they could be derived only from embryonic stem cell lines, the advent of somatic cell reprogramming, with the possibility to easily derive human induced pluripotent stem cells from any individual, affords now a major leap in the feasibility of IVG derivation and (...) in the scope of their potential applications. In this paper we develop an ethical framework, rooted in recent scientific evidence, to support a robust experimental pipeline that could enable the first-in-human use of IVG. We then apply this framework to the following objectives: (1) a clarification of the genetic parenting options afforded by IVG, along with their ethical underpinnings; (2) a defence of the use of IVG to remedy infertility, broadening their scope to same-sex couples; (3) an assessment of the most far-reaching implications of IVG for multiplex parenting. These include, first, the liberation of parenting roles from the constraints of biological generations in vivo, allowing multiple individuals to engage in genetic parenting together, thus blurring the distinction between biological and social generations. Second, we discuss the conflation of IVG with sequencing technology and its implications for the possibility that prospective parents may choose among a hitherto unprecedented number of potential children. In view of these perspectives, we argue that, contrary to the exhausted paradigm according to which society lags behind science, IVG may represent instead a salient and most visible instance where biotechnological ingenuity could be used in pursuit of social experimentation. (shrink)

In almost all of his early works Gilles Deleuze is concerned with one and the same problem: the problem of genesis. In response to this problem, Deleuze argues for a system of heterogenesis. In this article, I argue that Deleuze’s system of heterogenesis operates on three levels: (1) the differential multiplicity of virtual Ideas; (2) the implied multiplicity of intensive dramas; (3) the extensive and qualitative diversity of actual concepts. As I hope to show, the relation between these three levels (...) can be explained in terms of the logic of expression that Deleuze develops in 'Expressionism in Philosophy: Spinoza.' In this way, I hope to gain clarity without losing nuance. The rather technical and abstract language of expression will become more concrete and understandable when it is understood in terms of intensive dramas, virtual Ideas and actual concepts. At the same time, the three levels of expression make it possible to show how these notions are interlinked. Accordingly, this article is divided in four parts. In the first part, I will explain how Deleuze takes up Kant’s discovery of the principle of difference as a reaction against the model of representation. The second part focuses on the two multiplicities (virtual Ideas and intensive dramas) that produce diversity (actual concepts). In the third part, these two multiplicities are linked to each other with the help of the logic of expression that Deleuze derives from Spinoza. The fourth, concluding part will connect the logic of expression to the complex dynamic of difference and repetition. (shrink)

This paper addresses the field of economic measurements of the value of assets, carried out by the methods of independent expert evaluation. The mathematical principles of application, within a comparative methodical approach, of additive and multiplicative models for correcting the cost of single indicator of compared objects have been considered. The differences of mathematical basis of the compared models were analyzed. It has been shown that the ambiguity in the methodology of correction procedure requires studying the advantages and disadvantages of (...) known models, as well as the justification and elaboration of recommendations for their application. Possible forms of correction representation using several alternative units of measurement have been defined; formulas for their interconnection have been built. Analytic expressions have been derived that mathematically describe the algorithms for performing the evaluation correction procedure using various forms of correction representation. The influence of the correction execution model on the characteristics of uncertainty in the independent evaluation result has been analyzed. The scope of two possible types of correction introduction models has been determined. A specific numerical example was used to demonstrate the methodological advantages of using a multiplicative model when summarizing percentage corrections. The independence of the correction result on the sequence of correction introduction has been confirmed. It is proposed to use the selected measure of partial corrections as a criterion for the adequacy of the correction introduction model. It is proved that the result of the independent expert evaluation depends on the chosen model and does not depend on the sequence of correction introduction. The reported study results are important in terms of theory and practice since they make it possible to improve the accuracy and reliability of the result of independent expert evaluation. (shrink)

As the multiple issues of the digital public sphere threaten our democracies and the cohesion of our societies, most attempts for a betterment of the digital networks and platforms revolve around a risk-response approach. This paper takes the opposite approach and develops a positive definition of the ideal ethical public sphere, combining normative features with original taxonomies. In view of defining common standards for a healthy digital public sphere, this paper offers an interdisciplinary literature review, and original recommendations, before (...) discussing potential leverages for implementing these changes. The suggested ethical normative features derive from a positive approach to the digital public sphere, as ideal common standards. Sustained by the underlying assumption that the composite landscape of the media ecosystem and its different layers (networks, platforms, users) cannot be steered by government regulations alone, the normative (deontological) approach serves to understand and justify the need for a normative approach, to help envision new pathways for an ethical transformation. (shrink)

Over the last few decades, multiple studies have examined the understanding of participants in clinical research. They show variable and often poor understanding of key elements of disclosure, such as expected risks and the experimental nature of treatments. Did the participants in these studies give valid consent? According to the standard view of informed consent they did not. The standard view holds that the recipient of consent has a duty to disclose certain information to the profferer of consent because (...) valid consent requires that information to be understood. The contents of the understanding and disclosure requirements are therefore conceptually linked. In this paper, we argue that the standard view is mistaken. The disclosure and understanding requirements have distinct grounds tied to two different ways in which a token of consent can be rendered invalid. Analysis of these grounds allows us to derive the contents of the two requirements. It also implies that it is sometimes permissible to enroll willing participants who have not understood everything that they ought to be told about their clinical trials. (shrink)

Matthew Adler's Measuring Social Welfare is an introduction to the social welfare function (SWF) methodology. This essay questions some ideas at the core of the SWF methodology having to do with the relation between the SWF and the measure of well-being. The facts about individual well-being do not single out a particular scale on which well-being must be measured. As with physical quantities, there are multiple scales that can be used to represent the same information about well-being; no one (...) scale is special. Like physical laws, the SWF and its ranking of distributions cannot depend on exactly which of these scales we use. Adler and other theorists in the SWF tradition have used this idea to derive highly restrictive constraints on the shape of the SWF. These constraints rule out seemingly plausible views about distributive justice and population ethics. I argue, however, that these constraints stem from a simple but instructive mistake. The SWF should not be applied to vectors of numbers such as 1 and 2, but rather to vectors of dimensioned quantities such as 1 util and 2 utils. This seemingly pedantic suggestion turns out to have far-reaching consequences. Unlike the orthodox SWF approach, treating welfare levels as dimensioned quantities lets us distinguish between real changes in well-being and mere changes in the unit of measurement. It does this without making the SWF depend on the scale on which welfare is measured, and in a way that avoids the restrictive constraints on the shape of the SWF. (shrink)

In this paper I introduce a sequent system for the propositional modal logic S5. Derivations of valid sequents in the system are shown to correspond to proofs in a novel natural deduction system of circuit proofs (reminiscient of proofnets in linear logic, or multiple-conclusion calculi for classical logic). -/- The sequent derivations and proofnets are both simple extensions of sequents and proofnets for classical propositional logic, in which the new machinery—to take account of the modal vocabulary—is directly motivated in (...) terms of the simple, universal Kripke semantics for S5. The sequent system is cut-free and the circuit proofs are normalising. (shrink)

Debate about cognitive science explanations has been formulated in terms of identifying the proper level(s) of explanation. Views range from reductionist, favoring only neuroscience explanations, to mechanist, favoring the integration of multiple levels, to pluralist, favoring the preservation of even the most general, high-level explanations, such as those provided by embodied or dynamical approaches. In this paper, we challenge this framing. We suggest that these are not different levels of explanation at all but, rather, different styles of explanation that (...) capture different, cross-cutting patterns in cognitive phenomena. Which pattern is explanatory depends on both the cognitive phenomenon under investigation and the research interests occasioning the explanation. This reframing changes how we should answer the basic questions of which cognitive science approaches explain and how these explanations relate to one another. On this view, we should expect different approaches to offer independent explanations in terms of their different focal patterns and the value of those explanations to partly derive from the broad patterns they feature. (shrink)

This paper presents and motivates a new philosophical and logical approach to truth and semantic paradox. It begins from an inferentialist, and particularly bilateralist, theory of meaning---one which takes meaning to be constituted by assertibility and deniability conditions---and shows how the usual multiple-conclusion sequent calculus for classical logic can be given an inferentialist motivation, leaving classical model theory as of only derivative importance. The paper then uses this theory of meaning to present and motivate a logical system---ST---that conservatively extends (...) classical logic with a fully transparent truth predicate. This system is shown to allow for classical reasoning over the full (truth-involving) vocabulary, but to be non-transitive. Some special cases where transitivity does hold are outlined. ST is also shown to give rise to a familiar sort of model for non-classical logics: Kripke fixed points on the Strong Kleene valuation scheme. Finally, to give a theory of paradoxical sentences, a distinction is drawn between two varieties of assertion and two varieties of denial. On one variety, paradoxical sentences cannot be either asserted or denied; on the other, they must be both asserted and denied. The target theory is compared favourably to more familiar related systems, and some objections are considered. (shrink)

Existing accounts of shared intention (by Bratman, Searle, and others) do not claim that a single token of intention can be jointly framed and executed by multiple agents; rather, they claim that multiple agents can frame distinct, individual intentions in such a way as to qualify as jointly intending something. In this respect, the existing accounts do not show that intentions can be shared in any literal sense. This article argues that, in failing to show how intentions can (...) be literally shared, these accounts fail to resolve what seems problematic in the notion of shared intention. It then offers an account in which the problem of shared intention is resolved, because intention can indeed be literally shared. This account is derived from Margaret Gilbert’s notion of a “pool of wills,” to which it applies Searle’s definition of intention. (shrink)

A longstanding issue in attempts to understand the Everett (Many-Worlds) approach to quantum mechanics is the origin of the Born rule: why is the probability given by the square of the amplitude? Following Vaidman, we note that observers are in a position of self-locating uncertainty during the period between the branches of the wave function splitting via decoherence and the observer registering the outcome of the measurement. In this period it is tempting to regard each branch as equiprobable, but we (...) argue that the temptation should be resisted. Applying lessons from this analysis, we demonstrate (using methods similar to those of Zurek's envariance-based derivation) that the Born rule is the uniquely rational way of apportioning credence in Everettian quantum mechanics. In doing so, we rely on a single key principle: changes purely to the environment do not affect the probabilities one ought to assign to measurement outcomes in a local subsystem. We arrive at a method for assigning probabilities in cases that involve both classical and quantum self-locating uncertainty. This method provides unique answers to quantum Sleeping Beauty problems, as well as a well-defined procedure for calculating probabilities in quantum cosmological multiverses with multiple similar observers. (shrink)

The systems studied in the special sciences are often said to be causally autonomous, in the sense that their higher-level properties have causal powers that are independent of the causal powers of their more basic physical properties. This view was espoused by the British emergentists, who claimed that systems achieving a certain level of organizational complexity have distinctive causal powers that emerge from their constituent elements but do not derive from them. More recently, non-reductive physicalists have espoused a similar view (...) about the causal autonomy of special-science properties. They argue that since these properties can typically have multiple physical realizations, they are not identical to physical properties, and further they possess causal powers that differ from those of their physical realisers. Despite the orthodoxy of this view, it is hard to find a clear exposition of its meaning or a defence of it in terms of a well-motivated account of causation. In this paper, we aim to address this gap in the literature by clarifying what is implied by the doctrine of the causal autonomy of special-science properties and by defending the doctrine using a prominent theory of causation from the philosophy of science. (shrink)

The Ontology for Biomedical Investigations (OBI) is an ontology that provides terms with precisely defined meanings to describe all aspects of how investigations in the biological and medical domains are conducted. OBI re-uses ontologies that provide a representation of biomedical knowledge from the Open Biological and Biomedical Ontologies (OBO) project and adds the ability to describe how this knowledge was derived. We here describe the state of OBI and several applications that are using it, such as adding semantic expressivity to (...) existing databases, building data entry forms, and enabling interoperability between knowledge resources. OBI covers all phases of the investigation process, such as planning, execution and reporting. It represents information and material entities that participate in these processes, as well as roles and functions. Prior to OBI, it was not possible to use a single internally consistent resource that could be applied to multiple types of experiments for these applications. OBI has made this possible by creating terms for entities involved in biological and medical investigations and by importing parts of other biomedical ontologies such as GO, Chemical Entities of Biological Interest (ChEBI) and Phenotype Attribute and Trait Ontology (PATO) without altering their meaning. OBI is being used in a wide range of projects covering genomics, multi-omics, immunology, and catalogs of services. OBI has also spawned other ontologies (Information Artifact Ontology) and methods for importing parts of ontologies (Minimum information to reference an external ontology term (MIREOT)). The OBI project is an open cross-disciplinary collaborative effort, encompassing multiple research communities from around the globe. To date, OBI has created 2366 classes and 40 relations along with textual and formal definitions. The OBI Consortium maintains a web resource providing details on the people, policies, and issues being addressed in association with OBI. (shrink)

Why does institutional police brutality continue so brazenly? Criminologists and other social scientists typically theorize about the causes of such violence, but less attention is given to normative questions regarding the demands of justice. Some philosophers have taken a teleological approach, arguing that social institutions such as the police exist to realize collective ends and goods based upon the idea of collective moral responsibility. Others have approached normative questions in policing from a more explicit social-contract perspective, suggesting that legitimacy is (...) derived by adhering to (limited) authority. This article examines methodologies within political philosophy for analyzing police injustice. The methodological inquiry leads to an account of how justice constrains the police through both special (or positional) moral requirements that officers assume voluntarily, as well as general moral requirements in virtue of a polity’s commitment to moral, political and legal values beyond law enforcement and crime reduction. The upshot is a conception of a police role that is constrained by justice from multiple foundational stances. (shrink)

Mismatch is a prominent concept in evolutionary medicine, and a number of philosophers have published analyses of this concept. The word ‘mismatch’ has been used in a diversity of ways across a range of sciences, leading these authors to regard it as a vague concept in need of philosophical clarification. Here, in contrast, we concentrate on the use of mismatch in modelling and experimentation in evolutionary medicine. This reveals a rigorous theory of mismatch within which the term ‘mismatch’ is indeed (...) used in several ways, not because it is ill defined but because different forms of mismatch are distinguished within the theory. Contemporary evolutionary medicine has unified the idea of ‘evolutionary mismatch’, derived from the older idea of ‘adaptive lag’ in evolution, with ideas about mismatch in development and physiology derived from the developmental origins of health and disease (DOHaD) paradigm. A number of publications in evolutionary medicine have tried to make this theoretical framework explicit. We build on these to present the theory in as simple and general a form as possible. We introduce terminology, largely drawn from the existing literature, to distinguish the different forms of mismatch. This integrative theory of mismatch captures how organisms track environments across space and time on multiple scales in order to maintain an adaptive match to the environment, and how failures of adaptive tracking lead to disease. Mismatch is a productive organizing concept within this theory that helps researchers articulate how physiology, development, and evolution interact with one another and with environmental change to explain health outcomes. (shrink)

Robustness is often presented as a guideline for distinguishing the true or real from mere appearances or artifacts. Most of recent discussions of robustness have focused on the kind of derivational robustness analysis introduced by Levins, while the related but distinct idea of robustness as multiple accessibility, defended by Wimsatt, has received less attention. In this paper, I argue that the latter kind of robustness, when properly understood, can provide justification for ontological commitments. The idea is that we are (...) justified in believing that things studied by science are real insofar as we have robust evidence for them. I develop and analyze this idea in detail, and based on concrete examples show that it plays an important role in science. Finally, I demonstrate how robustness can be used to clarify the debate on scientific realism and to formulate new arguments. (shrink)

In this article, we investigate how the concept of Care Biography and related concepts are understood and operationalised and describe how it can be applied to advancing our understanding and practice of holistic and person‐centred care. Walker and Avant's eight‐step concept analysis method was conducted involving multiple database searches, with potential or actual applications of Care Biography identified based on multiple discussions among all authors. Our findings demonstrate Care Biography to be a novel overarching concept derived from the (...) conjunction of multiple other concepts and applicable across multiple care settings. Concepts related to Care Biography exist but were more narrowly defined and mainly applied in intensive care, aged care, and palliative care settings. They are associated with the themes of Meaningfulness and Existential Coping, Empathy and Understanding, Promoting Positive Relationships, Social and Cultural Contexts, and Self‐Care, which we used to inform and refine our concept analysis of Care Biography. In Conclusion, the concept of Care Biography, can provide a deeper understanding of a person and their care needs, facilitate integrated and personalised care, empower people to be in control of their care throughout their life, and help promote ethical standards of care. (shrink)

Difference and Repetition: Deleuze’s magnum opus, “Difference and Repetition” (1968), explores the interplay between difference and repetition. He argues that difference is fundamental to reality, and repetition is not mere duplication but a creative force. Deleuze challenges conventional notions of identity and sameness, emphasizing the productive potential of difference. Gilles Deleuze’s “Difference and Repetition” is a seminal work that challenges traditional Western metaphysics and offers a fresh perspective on concepts like identity, repetition, and creativity. Let’s explore some key ideas from (...) this remarkable book: Pure Difference: Deleuze argues that difference is fundamental to reality. Unlike classical philosophy that seeks universal truths, he emphasizes divergence and decentering. Each moment contains unique differences, and these differences shape our understanding of the world. Complex Repetition: Repetition, for Deleuze, isn’t mere duplication. Instead, it involves displacement and disguising. While repetition contributes to generality and thought, it’s the differences within each repetition that account for change and novelty. Concepts and things derive meaning from these differences. Shift Away from Hegel and Marx: “Difference and Repetition” played a crucial role in shifting French thought away from Hegel and Marx toward Nietzsche and Freud. Deleuze’s exploration of difference challenged established philosophical norms and paved the way for new perspectives. The Image of Thought: Deleuze critiques the traditional “image of thought,” which often relies on fixed identities and binary oppositions. Instead, he encourages us to embrace multiplicities, complexities, and the perpetual process of becoming. Asymmetrical Synthesis of the Sensible: Deleuze introduces the concept of asymmetrical synthesis, emphasizing the interplay between perception and affect. Reality is a dynamic, ever-changing process, not a static being. Copies are never identical; they’re something new. “Difference and Repetition” invites us to rethink how we perceive reality, emphasizing creativity, multiplicity, and the constant flux of existence. Deleuze’s work continues to inspire thinkers across disciplines, bridging philosophy with art, literature, and mysticism. (shrink)

The Extended Evolutionary Synthesis (EES) debate is gaining ground in contemporary evolutionary biology. In parallel, a number of philosophical standpoints have emerged in an attempt to clarify what exactly is represented by the EES. For Massimo Pigliucci, we are in the wake of the newest instantiation of a persisting Kuhnian paradigm; in contrast, Telmo Pievani has contended that the transition to an EES could be best represented as a progressive reformation of a prior Lakatosian scientific research program, with the extension (...) of its Neo-Darwinian core and the addition of a brand-new protective belt of assumptions and auxiliary hypotheses. Here, we argue that those philosophical vantage points are not the only ways to interpret what current proposals to ‘extend’ the Modern Synthesis-derived ‘standard evolutionary theory’ (SET) entail in terms of theoretical change in evolutionary biology. We specifically propose the image of the emergent EES as a vast network of models and interweaved representations that, instantiated in diverse practices, are connected and related in multiple ways. Under that assumption, the EES could be articulated around a paraconsistent network of evolutionary theories (including some elements of the SET), as well as models, practices and representation systems of contemporary evolutionary biology, with edges and nodes that change their position and centrality as a consequence of the co-construction and stabilization of facts and historical discussions revolving around the epistemic goals of this area of the life sciences. We then critically examine the purported structure of the EES—published by Laland and collaborators in 2015—in light of our own network-based proposal. Finally, we consider which epistemic units of Evo-Devo are present or still missing from the EES, in preparation for further analyses of the topic of explanatory integration in this conceptual framework. (shrink)

Recent philosophy has seen a resurgence of the realist view of sensible qualities such as colour. The view holds that experienced qualities are properties of the objects in the physical environment, not mentally instantiated properties like qualia or merely intentional, illusory ones. Some suggest that this move rids us of the explanatory gap between physical properties and the qualitative features of consciousness. Others say it just relocates the problem of qualities to physical objects in the environment, given that such qualities (...) cannot be derived from the non-qualitative properties of objects, and it does not resolve the problem of consciousness either. I argue that such an outcome is welcome: if the physical world is full of explanatory gaps, then the mind–body explanatory gap is not so special. Moreover, the explanatory gaps regarding qualities of objects are less puzzling than the brain-qualia gap. In order to counter the usual worries concerning realism about objective qualities, I introduce ‘imperfect realism’ as an alternative to colour pluralism and complex reductionism, which accommodates realism in the face of widespread perceptual error. I conclude with a discussion of how this ‘multiple-gaps view’ sits better with a naturalistic framework compared to the Galilean-Cartesian account of qualities. (shrink)

The Razor says: do not multiply entities without necessity! The Laser says: do not multiply fundamental entities without necessity! Behind the Laser lies a deep insight. This is a distinction between the costs and the commitments of a theory. According to the Razor, every commitment is a cost. Not so according to the Laser. According to the Laser, derivative entities are an ontological free lunch: that is, they are a commitment without a cost. Jonathan Schaffer (2015) has argued that the (...) Laser should replace the Razor. In Sections 2-4 we shall discuss and argue against Schaffer’s arguments for replacing the Razor with the Laser. Schaffer considers several objections to his views, and in Sections 5-7 we shall argue that Schaffer does not deal successfully with two of them. In Section 8 we shall present a probabilistic argument for the Laser. However, the argument has a limitation and does not support the replacement of the Razor with the Laser. Indeed, it supports only the claim that, given certain assumptions, the multiplication of explanatorily relevant derivative entities does not matter; but, as we argue in the same section, there is an argument that multiplying explanatorily superfluous derivative entities does makes a theory less rationally acceptable. Our conclusion is that the Laser cannot replace the Razor and that derivative entities are not an ontological free lunch. (shrink)

The Afro-Latin dance known as ‘salsa’ is a fusion of multiple dances from West Africa, Muslim Spain, enslaved communities in the Caribbean, and the United States. In part due to its global origins, salsa was pivotal in the development of the Figuration philosophy of dance, and for ‘dancing with,’ the theoretical method for social justice derived therefrom. In the present article, I apply the completed theory Figuration exclusively to salsa for the first time, after situating the latter in the (...) dance studies literature. My first section explores Juliet McMains’ recent history, Spinning Mambo into Salsa, with an emphasis on the dynamics of class, race and sex therein. My second section explores a resonant Afro-Latin dance history, Marta E. Savigliano’s Tango and the Political Economy of Passion, where she deploys salsa’s sister-dance (tango) as a ‘counter-choreography’ to the choreography of postmodern neocolonialism. And my third section applies Figuration’s four central aspects of dance (or ‘Moves’) to salsa qua member of its ‘societal’ family of dance. In conclusion, through partnering with salsa, Figuration emerges as a member of its own ‘discursive’ family of dance, while salsa emerges as a gestural discourse capable of helping reconstruct a more socially-just world from the postmodern ruins of today. (shrink)

The main idea of this thesis is multi-descriptional physicalism. According to it, only physical entities are elements of our ontology, and there are different ways to describe them. Higher-level vocabularies (e.g., mental, neurological, biological) truly describe reality. Sentences about higher-level entities are made true by physical entities. Every chapter will develop multi-descriptional physicalism or defend it from objections. In chapter 1, I will propose a new conceptual reductive account that conceptually reduces higher-level entities to physical entities. This conceptual reductive account (...) combines resources from Heil’s truthmaker theory and either a priori physicalism or a posteriori physicalism. In chapter 2, I apply this conceptual reductive account to various debates. Physicalism, the multiple-realisability argument, the prototype theory of concepts, and truthmaker explanations will be discussed. In chapter 3, I will argue that a major aim of metaphysics should be to discover which entities are fundamental and explain why they suffice for the existence of derivative entities. In chapter 4, I will propose a new way to explain why sentences apparently about composite objects are true even though there are no composite objects. It combines resources from Cameron’s truthmaker theory and van Inwagen’s paraphrase strategy. In chapter 5, I will argue that the intuition that the mind and the body are very different does not show that the mind is distinct from the body. This intuition can be explained away by mentioning our dispositions to give non-physical explanations when we are ignorant of physical facts. In chapter 6, I will examine two arguments for the existence of a metaphysically independent level, and I will argue that only a modified version of one of them succeeds. I will argue that methodological principles support the view that there is a metaphysically independent level. (shrink)

A particularly influential thesis about epistemic axiology is veritism: that true belief is the only basic, or fully non-derivative, epistemic value. One recent argument against veritism claims that the naturalness or joint-carvingness of beliefs is also a basic epistemic value. The basic epistemic value of naturalness is held to explain intuitions that true, natural beliefs have greater epistemic value than similar but unnatural beliefs. I argue that epistemic significance, rather than naturalness, can best explain any variations in the value of (...) natural versus unnatural beliefs. Against claims that significance itself undermines veritism, I defend an account of significance that explains why the epistemic value of significance derives entirely from the value of truth. The account also shows how significance can be grounded in multiple features, while still deriving all its value from that of truth. As a result, the epistemic value of natural beliefs offers little reason to abandon veritism, in the absence of stronger arguments favoring the basic epistemic value of naturalness. (shrink)

We present a model of the distribution of labour in science. Such models tend to rely on the mechanism of the invisible hand . Our analysis starts from the necessity of standards in distributed processes and the possibility of multiple standards in science. Invisible hand models turn out to have only limited scope because they are restricted to describing the atypical single-standard case. Our model is a generalisation of these models to J standards; single-standard models such as Kitcher are (...) a limiting case. We introduce and formalise this model, demonstrate its dynamics and conclude that the conclusions commonly derived from invisible hand models about the distribution of labour in science are not robust against changes in the number of standards. (shrink)

The mindsponge mechanism (mindsponge framework, mindsponge concept, or mindsponge process) provides a way to explain how and why an individual observes and ejects cultural values conditional on the external setting. The term “mindsponge” derives from the metaphor that the mind is analogized to a sponge that squeezes out unsuitable values and absorbs new ones compatible with its core value. Thanks to the complexity and well-structuring, the mechanism has been used to develop various concepts in multiple disciplines.

This book is an anthology with the following themes. Non-European Tradition: Bussanich interprets main themes of Hindu ethics, including its roots in ritual sacrifice, its relationship to religious duty, society, individual human well-being, and psychic liberation. To best assess the truth of Hindu ethics, he argues for dialogue with premodern Western thought. Pfister takes up the question of human nature as a case study in Chinese ethics. Is our nature inherently good (as Mengzi argued) or bad (Xunzi’s view)? Pfister ob- (...) serves their underlying agreement, that human beings are capable of becoming good, and makes precise the disagreement: whether we achieve goodness by cultivating autonomous feelings or by accepting external precepts. There are political consequences: whether government should aim to respect and em- power individual choices or to be a controlling authority. Early Greek Thinking: Collobert examines the bases of Homeric ethics in fame, prudence, and shame, and how these guide the deliberations of heroes. She observes how, by depending upon the poet’s words, the hero gains a quasi- immortality, although in truth there is no consolation for each person’s inevi- table death. Plato: Santas examines Socratic Method and ethics in Republic 1. There Socrates examines definitions of justice and tests them by comparison to the arts and sciences. Santas shows the similarities of Socrates’ method to John Rawls’ method of considered judgments in reflective equilibrium. McPherran interprets Plato’s religious dimension as like that of his teacher Socrates. McPherran shows how Plato appropriates, reshapes, and extends the religious conventions of his own time in the service of establishing the new enterprise of philosophy. Ac- cording to Taylor, Socrates believes that humans in general have the task of helping the gods by making their own souls as good as possible, and Socrates’ unique ability to cross-examine imposes on him the special task of helping others to become as good as possible. This conception of Socrates’ mission is Plato’s own, consisting in an extension of the traditional conception of piety as helping the gods. Brickhouse and Smith propose a new understanding of Socratic moral psychology—one that retains the standard view of Socrates as an intellectualist, but also recognizes roles in human agency for appetites and passions. They compare and contrast the Socratic view to the picture of moral psychology we get in other dialogues of Plato. Hardy also proposes a new, non-reductive understanding of Socratic eudaimonism—he argues that Socrates invokes a very rich and complex notion of the “Knowledge of the Good and Bad”, which is associated with the motivating forces of the virtues. Rudebusch defends Socrates’ argument that knowledge can never be impotent in the face of psychic passions. He considers the standard objections: that knowledge cannot weigh incom- mensurable human values, and that brute desire, all by itself, is capable of moving the soul to action. Aristotle: Anagnostopoulos interprets Aristotle on the nature and acquisition of virtue. Though virtue of character, aiming at human happiness, requires a complex awareness of multiple dimensions of one’s experience, it is not properly a cognitive capacity. Thus it requires habituation, not education, according to Aristotle, in order to align the unruly elements of the soul with reason’s knowledge of what promotes happiness. Shields explains Aristotle’s doctrine that goodness is meant in many ways as the doctrine that there are different analyses of goodness for different types of circumstance, just as for being. He finds Aristotle to argue for this conclusion, against Plato’s doctrine of the unity of the Good, by applying the tests for homonymy and as an immediate cons- equence of the doctrine of categories. Shields evaluates the issue as unresolved at present. Russell discusses Aristotle’s account of practical deliberation and its virtue, intelligence (phronesis). He relates the account to contemporary philo- sophical controversies surrounding Aristotle’s view that intelligence is neces- sary for moral virtue, including the objections that in some cases it is unnecessary or even impedes human goodness. Frede examines the advantages and disadvantages of Aristotle’s virtue ethics. She explains the general Greek con- ceptions of happiness and virtue, Aristotle’s conception of phronesis and compares the Aristotle’s ethics with modern accounts. Liske discusses the question of whether the Aristotelian account of virtue entails an ethical-psy- chological determinism. He argues that Aristotle’s understanding of hexis allows for free action and ethical responsibility : By making decisions for good actions we are able to stabilize our character (hexis). Hellenistic and Roman: Annas defends an account of stoic ethics, according to which the three parts of Stoicism—logic, physics, and ethics—are integrated as the parts of an egg, not as the parts of a building. Since by this analogy no one part is a foundation for the rest, pedagogical decisions may govern the choice of numerous, equally valid, presentations of Stoic ethics. Piering interprets the Cynic way of life as a distinctive philosophy. In their ethics, Cynics value neither pleasure nor tradition but personal liberty, which they achieve by self-suffi- ciency and display in speech that is frank to the point of insult. Plotinus and Neoplatonism: Gerson outlines the place of ordinary civic virtue as well as philosophically contemplative excellence in Neoplatonism. In doing so he attempts to show how one and the same good can be both action-guiding in human life and be the absolute simple One that grounds the explanation of everything in the universe. Delcomminette follows Plotinus’s path to the Good as the foundation of free will, first in the freedom of Intellect and then in the “more than freedom” of the One. Plotinus postulates these divinities as not outside but within each self, saving him from the contradiction of an external foundation for a truly free will. General Topics: Halbig discusses the thesis on the unity of virtues. He dis- tinguishes the thesis of the identity of virtues and the thesis of a reciprocity of virtues and argues that the various virtues form a unity (in terms of reciprocity) since virtues cannot bring about any bad action. Detel examines Plato’s and Aristotle’s conceptions of normativity : Plato and Aristotle (i) entertained hybrid theories of normativity by distinguishing functional, semantic and ethical normativity, (ii) located the ultimate source of normativity in standards of a good life, and thus (iii) took semantic normativity to be a derived form of normativity. Detel argues that hybrid theories of normativity are—from a mo- dern point of view—still promising. Ho ̈ffe defends the Ancient conception of an art of living against Modern objections. Whereas many Modern philosophers think that we have to replace Ancient eudaimonism by the idea of moral obligation (Pflicht), Ho ̈ffe argues that Eudaimonism and autonomy-based ethics can be reconciled and integrated into a comprehensive and promising theory of a good life, if we enrich the idea of autonomy by the central elements of Ancient eudaimonism. Some common themes: The topics in Chinese and Hindu ethics are perhaps more familiar to modern western sensibilities than Homeric and even Socratic. Anagnostopoulos, Brickhouse and Smith, Frede, Liske, Rudebusch, and Russell all consider in contrasting ways the role of moral character, apart from intellect, in ethics. Brickhouse / Smith, Hardy, and Rudebusch discuss the Socratic con- ception of moral knowledge. Brickhouse / Smith and Hardy retain the standard view of the so called Socratic Intellectualism. Shields and Gerson both consider the question whether there is a single genus of goodness, or if the term is a homonym. Bussanich, McPherran, Taylor, and Delcomminette all consider the relation between religion and ethics. Pfister, Piering, Delcomminette, and Liske all consider what sort of freedom is appropriate to human well-being. Halbig, Detel, and Ho ̈ffe propose interpretations of main themes of Ancient ethics. (shrink)

The exploration of the literature indicated that much studies abound in related areas. Much seems yet to be known about the nature of the relationship that exists between managerial variables and the sustainability of graduate programmes. To bridge this gap, we utilized a standardised multiple regression approach to build up linear models that examine three managerial processes (strategic planning, staff and information/communication management) and how they affect three proxies of the sustainability of graduate programmes (availability of funds and facilities, (...) as well as supervision) respectively and cumulatively. Quantitative data were obtained from an entire population of 149 managers (Head of Departments and Deans) in the University of Calabar, Calabar, Nigeria using a questionnaire. Findings emerged, among others, a significant relationship between each of the managerial processes to the sustainability of graduate programmes generally and particularly in terms of availability of funds, facilities and supervision; the three predictor variables partially and jointly accounted for significant proportions in the sustainability of graduate programmes generally and specifically in terms of the various dimensions. Based on this evidence, one general and three partial predictive linear equations, as well as models were derived, while relevant action-based implications for effective management and practice were discussed. (shrink)

Corcoran, John. 2005. Meanings of word: type-occurrence-token. Bulletin of Symbolic Logic 11(2005) 117. -/- Once we are aware of the various senses of ‘word’, we realize that self-referential statements use ambiguous sentences. If a statement is made using the sentence ‘this is a pronoun’, is the speaker referring to an interpreted string, a string-type, a string-occurrence, a string-token, or what? The listeners can wonder “this what?”. -/- John Corcoran, Meanings of word: type-occurrence-token Philosophy, University at Buffalo, Buffalo, NY 14260-4150 E-mail: (...) [email protected] The four-letter written-English expression ‘word’, which plays important roles in applications and expositions of logic and philosophy of logic, is ambiguous (multisense, or polysemic) in that it has multiple normal meanings (senses, or definitions). Several of its meanings are vague (imprecise, or indefinite) in that they admit of borderline (marginal, or fringe) cases. This paper juxtaposes, distinguishes, and analyses several senses of ‘word’ focusing on a constellation of senses analogous to constellations of senses of other expression words such as ‘expression’, ‘symbol’, ‘character’, ‘letter’, ‘term’, ‘phrase’, ‘formula’, ‘sentence’, ‘derivation’, ‘paragraph’, and ‘discourse’. Consider, e.g., the word ‘letter’. In one sense there are exactly twenty-six letters (letter-types or ideal letters) in the English alphabet and there are exactly four letters in the word ‘letter’. In another sense, there are exactly six letters (letter-repetitions or letter-occurrences) in the word-type ‘letter’. In yet another sense, every new inscription (act of writing or printing) of ‘letter’ brings into existence six new letters (letter-tokens or ink-letters) and one new word that had not previously existed. The number of letter-occurrences (occurrences of a letter-type) in a given word-type is the same as the number of letter-tokens (tokens of a letter-type) in a single token of the given word. Many logicians fail to distinguish “token” from “occurrence” and a few actually confuse the two concepts. Epistemological and ontological problems concerning word-types, word-occurrences, and word-tokens are described in philosophically neutral terms. This paper presents a theoretical framework of concepts and principles concerning logicography, including use of English in logic. The framework is applied to analytical exposition and critical evaluation of classic passages in the works of philosophers and logicians including Boole, Peirce, Frege, Russell, Tarski, Church and Quine. This paper is intended as a philosophical sequel to Corcoran et al. “String Theory”, Journal of Symbolic Logic 39(1974) 625-637. https://www.academia.edu/s/cdfa6c854e?source=link -/- . (shrink)

It is commonly claimed that the universality of critical phenomena is explained through particular applications of the renormalization group. This article has three aims: to clarify the structure of the explanation of universality, to discuss the physics of such RG explanations, and to examine the extent to which universality is thus explained. The derivation of critical exponents proceeds via a real-space or a field-theoretic approach to the RG. Building on work by Mainwood, this article argues that these approaches ought to (...) be distinguished: while the field-theoretic approach explains universality, the real-space approach fails to provide an adequate explanation. (shrink)

The INBIOSA project brings together a group of experts across many disciplines who believe that science requires a revolutionary transformative step in order to address many of the vexing challenges presented by the world. It is INBIOSA’s purpose to enable the focused collaboration of an interdisciplinary community of original thinkers. This paper sets out the case for support for this effort. The focus of the transformative research program proposal is biology-centric. We admit that biology to date has been more fact-oriented (...) and less theoretical than physics. However, the key leverageable idea is that careful extension of the science of living systems can be more effectively applied to some of our most vexing modern problems than the prevailing scheme, derived from abstractions in physics. While these have some universal application and demonstrate computational advantages, they are not theoretically mandated for the living. A new set of mathematical abstractions derived from biology can now be similarly extended. This is made possible by leveraging new formal tools to understand abstraction and enable computability. [The latter has a much expanded meaning in our context from the one known and used in computer science and biology today, that is "by rote algorithmic means", since it is not known if a living system is computable in this sense (Mossio et al., 2009).] Two major challenges constitute the effort. The first challenge is to design an original general system of abstractions within the biological domain. The initial issue is descriptive leading to the explanatory. There has not yet been a serious formal examination of the abstractions of the biological domain. What is used today is an amalgam; much is inherited from physics (via the bridging abstractions of chemistry) and there are many new abstractions from advances in mathematics (incentivized by the need for more capable computational analyses). Interspersed are abstractions, concepts and underlying assumptions “native” to biology and distinct from the mechanical language of physics and computation as we know them. A pressing agenda should be to single out the most concrete and at the same time the most fundamental process-units in biology and to recruit them into the descriptive domain. Therefore, the first challenge is to build a coherent formal system of abstractions and operations that is truly native to living systems. Nothing will be thrown away, but many common methods will be philosophically recast, just as in physics relativity subsumed and reinterpreted Newtonian mechanics. -/- This step is required because we need a comprehensible, formal system to apply in many domains. Emphasis should be placed on the distinction between multi-perspective analysis and synthesis and on what could be the basic terms or tools needed. The second challenge is relatively simple: the actual application of this set of biology-centric ways and means to cross-disciplinary problems. In its early stages, this will seem to be a “new science”. This White Paper sets out the case of continuing support of Information and Communication Technology (ICT) for transformative research in biology and information processing centered on paradigm changes in the epistemological, ontological, mathematical and computational bases of the science of living systems. Today, curiously, living systems cannot be said to be anything more than dissipative structures organized internally by genetic information. There is not anything substantially different from abiotic systems other than the empirical nature of their robustness. We believe that there are other new and unique properties and patterns comprehensible at this bio-logical level. The report lays out a fundamental set of approaches to articulate these properties and patterns, and is composed as follows. -/- Sections 1 through 4 (preamble, introduction, motivation and major biomathematical problems) are incipient. Section 5 describes the issues affecting Integral Biomathics and Section 6 -- the aspects of the Grand Challenge we face with this project. Section 7 contemplates the effort to formalize a General Theory of Living Systems (GTLS) from what we have today. The goal is to have a formal system, equivalent to that which exists in the physics community. Here we define how to perceive the role of time in biology. Section 8 describes the initial efforts to apply this general theory of living systems in many domains, with special emphasis on crossdisciplinary problems and multiple domains spanning both “hard” and “soft” sciences. The expected result is a coherent collection of integrated mathematical techniques. Section 9 discusses the first two test cases, project proposals, of our approach. They are designed to demonstrate the ability of our approach to address “wicked problems” which span across physics, chemistry, biology, societies and societal dynamics. The solutions require integrated measurable results at multiple levels known as “grand challenges” to existing methods. Finally, Section 10 adheres to an appeal for action, advocating the necessity for further long-term support of the INBIOSA program. -/- The report is concluded with preliminary non-exclusive list of challenging research themes to address, as well as required administrative actions. The efforts described in the ten sections of this White Paper will proceed concurrently. Collectively, they describe a program that can be managed and measured as it progresses. (shrink)

This study determined the relationship between triarchic intelligences and engagement as factors in mathematics achievement of 1148 Grade 10 students in the Division of Davao del Norte, Philippines. It also investigated the relationship among the variables utilizing a descriptive-correlational and causal-comparative research design. Modified survey questionnaires were used for triarchic intelligence and engagement scales which were validated by the panel of experts. Standardized Division Unified Test was used to measure the mathematics achievement. Mean and Pearson product moment coefficient correlation were (...) used to determine the proficiency level and the relationship between the variables while multiple linear regression was also used to derive the value and identify the predictor variable. The findings of the study showed that students did not meet the expectations on mathematics achievement; triarchic intelligences and engagement were at moderate level. Among the six indicators, only behavioral engagement was the predictor of the achievement. This indicates that the mathematics achievement of the students is best anchored on engagement. Thus, the result suggests that the more engaged the students are, the better and higher the achievement in mathematics. (shrink)

Music impinges upon the body and the brain and has inductive power, relying on both innate dispositions and acquired mechanisms for coping with the sounds. This process is partly autonomous and partly deliberate, but multiple interrelations between several levels of processing can be shown. There is, further, a tradition in neuroscience that divides the organization of the brain into lower and higher functions. The latter have received a lot of attention in music and brain studies during the last decades. (...) Recent developments in neuroimaging techniques, however, have broadened the field by encompassing the study of both cortical and subcortical processing of the sounds. Much is still to be investigated but some major observations seem already to emerge. The domain of music and emotions is a typical example with a major focus on the pleasure that can be derived from listening to music. Pleasure, however, is not the only emotion that music can induce and the mechanisms behind its elicitation are far from understood. There are also mechanisms related to arousal and activation that are both less differentiated and at the same time more complex than the assumed mechanisms triggering basic emotions. It is tempting, therefore, to bring together contributions from neuroscience studies with a view to cover the possible range of answers to the question of what pleasurable or mood-modifying effects music can have on human beings in real-time listening situations. (shrink)

Darcy's law is a phenomenological relationship for fluid flow rate that finds one of its principle applications in hydrology. Theoretical hydrologists rely upon a multiplicity of conceptual models to carry out approximate derivations of Darcy's law. These derivations provide structural explanations of the law; they require the application of fundamental principles, such as conservation of momentum, to idealized models of the porous media within which the flow occurs. In practice, recognition of the idealized conditions incorporated into models facilitates the empirical (...) clarification of the domain within which the law remains accurate. Structural explanations also contribute to the physical interpretation of phenomenological parameters. (shrink)

The problem of non-acceptance of philosophy in Arab Culture is a complex one and it is worthy of study and analysis. This problem relates to the nature of the composition of Arab Culture on the one hand, and that of philosophy itself on the other. With reference to the composition of Arab culture, there are numerous contributory elements that inform Arab culture today; some of which are Arabic in and others of which are foreign and only came to the Arab (...) habitat lands since the arrival of the Islamic religion. Arab culture is derived from a rich history comprising a number of Arab states that produced a multi-faceted and resplendent civilization, extending from Mesopotamia to the Nile Delta and Saba and Hamer. All of these independent civilizations contributed to Arab culture. In addition, Islam has also made a significant contribution towards polishing and entering all cultures before and after it extended throughout the world. In Arabic culture a critical trend arose in opposition to philosophy, contradicting the pattern in former Arabic civilizations, it is based on political religion as a foundation from which to attack and destroy philosophy. The second factor linked to the unaccepted nature of philosophy in Arab culture originates from philosophy itself. As is known by philosophers, the originality and creativity of philosophy first manifested in Ancient Greece. Moreover, the Greeks differed from other nations in many respects. For instance; 1) Multiplicity of religions, law and social system. 2) Political system, they created the first pattern of democracy in the world, which became the most basic of all democratic systems. 3) Social structure consisting of Whites, Slaves and Barbarians. 4) Customs and traditions, they have different views regarding women, slavery, citizenship and freedom of though. 5) Also the Greek nation differs from other nations in the high number of philosophical scholars that emerged during its 1200 year era of civilization. This research will analyze both the nature of contemporary Arabic Culture and the tradition of Greek Philosophy to ascertain the factors informing the unacceptability of Greek Philosophy in Arabic Culture. (shrink)

This essay focuses on the intriguing relationship between mathematics and physical phenomena, arguing that the brain uses a single spatiotemporal- causal objective framework in order to characterize and manipulate basic external data and internal physical and emotional reactive information, into more complex thought and knowledge. It is proposed that multiple hierarchical permutations of this single format eventually give rise to increasingly precise visceral meaning. The main thesis overcomes the epistemological complexities of the Frame Problem by asserting that the primal (...) frame of reference – within which chaotic conscious thought ultimately emerges – is essentially a synchronous representation of the four macro properties of existence plus the genetically derived causal objective, and the embodied physical and emotional reactions that even the lowliest cognitive organisms are born with, and which they automatically express as they struggle to exist within an ever-changing and often hostile environment. -/-. (shrink)

This thesis discusses some central aspects of Wittgenstein's conception of language and logic in his Tractatus Logico-Philosophicus and brings them into relation with the philosophies of Frege and Russell. The main contention is that a fruitful way of understanding the Tractatus is to see it as responding to tensions in Frege's conception of logic and Russell's theory of judgement. In the thesis the philosophy of the Tractatus is presented as developing from these two strands of criticism and thus as the (...) culmination of the philosophy of logic and language developed in the early analytic period. Part one examines relevant features of Frege's philosophy of logic. Besides shedding light on Frege's philosophy in its own right, it aims at preparing the ground for a discussion of those aspects of the Tractatus' conception of logic which derive from Wittgenstein's critical response to Frege. Part two first presents Russell's early view on truth and judgement, before considering several variants of the multiple relation theory of judgement, devised in opposition to it. Part three discusses the development of Wittgenstein's conception of language and logic, beginning with Wittgenstein's criticism of the multiple relation theory and his early theory of sense, seen as containing the seeds of the picture theory of propositions presented in the Tractatus. I then consider the relation between Wittgenstein's pictorial conception of language and his conception of logic, arguing that Wittgenstein's understanding of sense in terms of bipolarity grounds his view of logical complexity and of the essence of logic as a whole. This view, I show, is free from the internal tensions that affect Frege's understanding of the nature of logic. (shrink)

The quest for a unified “Theory of Everything” that explains the fundamental nature of the universe has long been a holy grail for scientists and philosophers, dating back to the ancient Greeks’ search for Arche. -/- So far, the mainstream of research on A Theory of Everything primarily focuses on the lifeless phenomena and laws of physics while ignores the realm of biology. However, a fundamentally different approach to the ToE has been put forward, presenting a viable alternative to address (...) the challenge of a Theory of Everything. This approach does not seek the ultimate “building block” but rather aims to uncover the intangible rules that fundamentally govern everything in the universe, seeking their universality across the vast spectrum, from the minute subatomic world to the mega mass cosmic world and the magical biological world. -/- To address the challenge, a set of the fundamental interrelationships is introduced and represented by a model, the Fundamental Interrelationships Model. This model cohesively represents these fundamental interrelationships, including serial-parallel relationships, transition of state, critical point, continuation-discontinuation, convergence-divergence, contraction-expansion, singularity-plurality, commonality-difference, similarity, symmetry-asymmetry, periodicity, dynamics-stability, order-disorder, limitation-without limitation, hierarchical structure, and cohesive interconnectedness. These interrelationships, found in nature, can be interpreted as the fundamental laws of physics. -/- Built on the foundation of the Fundamental Interrelationships Model, a collection of the well-established laws of physics and theories are represented and unified, including Newton’s three laws of motion, the four laws of thermodynamics, Einstein’s space-time relationship, Heisenberg’s uncertainty principle, Noether’s theorem, Schrodinger’s wave function collapse, chaos theory and complexity theory. The list continues to grow… Based on this model, a groundbreaking research has, for the first time, put forward a new hypothesis that unifies the Big Bang theory with the evolutionary theory, published in a book in 2022. This research unequivocally demonstrates that the evolution of life also follows the fundamental laws of physics, marking a significant stride toward addressing the longstanding challenge of a comprehensive Theory of Everything. -/- Subsequent studies reveal that the evolution of life (including the evolution of multicellularity), embryonic development, evolution of society (civilisation), and the evolution of the universe all adhere to these fundamental interrelationships. These events are specific expressions of the underlying principles of the Fundamental Interrelationships Model. -/- Ultimately, as a truly all-encompassing theory, the Theory of Everything should not only incorporate non-biological events and the laws of physics but also extend to all facets of life. Thus, unlike most existing candidates, the Fundamental Interrelationships Model offers a comprehensive framework, encompassing both non-biological and living phenomena. Therefore, any hypothesis failing to integrate biology and sociology shouldn’t be considered a comprehensive Theory of Everything -/- This article and the subsequent ones are the abstracts derived from the book, Behind Civilisation/civilization (multiple editions), which represents the culmination of decades of research. The book offers a more comprehensive exploration of how fundamental interrelationships govern all aspect of the universe. -/- . (shrink)

A non-relativistic quantum mechanical theory is proposed that describes the universe as a continuum of worlds whose mutual interference gives rise to quantum phenomena. A logical framework is introduced to properly deal with propositions about objects in a multiplicity of worlds. In this logical framework, the continuum of worlds is treated in analogy to the continuum of time points; both “time” and “world” are considered as mutually independent modes of existence. The theory combines elements of Bohmian mechanics and of Everett’s (...) many-worlds interpretation; it has a clear ontology and a set of precisely defined postulates from where the predictions of standard quantum mechanics can be derived. Probability as given by the Born rule emerges as a consequence of insufficient knowledge of observers about which world it is that they live in. The theory describes a continuum of worlds rather than a single world or a discrete set of worlds, so it is similar in spirit to many-worlds interpretations based on Everett’s approach, without being actually reducible to these. In particular, there is no splitting of worlds, which is a typical feature of Everett-type theories. Altogether, the theory explains (1) the subjective occurrence of probabilities, (2) their quantitative value as given by the Born rule, and (3) the apparently random “collapse of the wavefunction” caused by the measurement, while still being an objectively deterministic theory. (shrink)

The file on this site provides the slides for a lecture given in Hangzhou in May 2018, and the lecture itself is available at the URL beginning 'sms' in the set of links provided in connection with this item. -/- It is commonly assumed that regular physics underpins biology. Here it is proposed, in a synthesis of ideas by various authors, that in reality structures and mechanisms of a biological character underpin the world studied by physicists, in principle supplying detail (...) in the domain that according to regular physics is of an indeterminate character. In regular physics mathematical equations are primary, but this constraint leads to problems with reconciling theory and reality. Biology on the other hand typically does not characterise nature in quantitative terms, instead investigating in detail important complex interrelationships between parts, leading to an understanding of the systems concerned that is in some respects beyond that which prevails in regular physics. It makes contact with quantum physics in various ways, for example in that both involve interactions between observer and observed, an insight that explains what is special about processes involving observation, justifying in the quantum physics context the replacement of the unphysical many-worlds picture by one involving collapse. The link with biology furthermore clarifies Wheeler’s suggestion that a multiplicity of observations can lead to the ‘fabrication of form’, including the insight that this process depends on very specific ‘structures with power’ related to the 'semiotic scaffolding' of the application of sign theory to biology known as biosemiotics. -/- The observer-observed 'circle' of Wheeler and Yardley is a special case of a more general phenomenon, oppositional dynamics, related to the 'intra-action' of Barad's Agential Realism, involving cooperating systems such as mind and matter, abstract and concrete, observer and observed, that preserve their identities while interacting with one another in such a way as to act as a unit. A third system may also be involved, the mediating system of Peirce linking the two together. Such a situation of changing connections and separations may plausibly lead in the future to an understanding of how complex systems are able to evolve to produce 'life, the universe and everything'. -/- (Added 1 July 2018) The general structure proposed here as an alternative to a mathematics-based physics can be usefully characterised by relating it to different disciplines and the specialised concepts utilised therein. In theoretical physics, the test for the correctness of a theory typically involves numerical predictions, corresponding to which theories are expressed in terms of equations, that is to say assertions that two quantities have identical values. Equations have a lesser significance in biology which typically talks in terms of functional mechanisms, dependent for example on details of chemistry and concepts such as genes, natural selection, signals and geometrical or topologically motivated concepts such as the interconnections between systems and the unfolding of DNA. Biosemiotics adds to this the concept of signs and their interpretation, implying novel concepts such as semiotic scaffolding and the semiosphere, code duality, and appreciation of the different types of signs, including symbols and their capacity for abstraction and use in language systems. Circular Theory adds to this picture, as do the ideas of Barad, considerations such as the idea of oppositional dynamics. The proposals in this lecture can be regarded as the idea that concepts such as those deriving from biosemiotics have more general applicability than just conventional biology and may apply, in some circumstances, to nonlinear systems generally, including the domain new to science hypothesised to underlie the phenomena of present-day physics. -/- The task then has to be to restore the mathematical aspect presumed, in this picture, not to be fundamental as it is in conventional theory. Deacon has invoked a complex sequence of evolutionary steps to account for the emergence over time of human language systems, and correspondingly mathematical behaviour can be subsumed under the general evolutionary mechanisms of biosemiotics (cf. also the proposals of Davis and Hersh regarding the nature of mathematics), so that the mathematical behaviour of physical systems is consistent with the proposed scheme. In conclusion, it is suggested that theoretical physicists should cease expecting to find some universal mathematical ‘theory of everything’, and focus instead on understanding in more detail complex systems exhibiting behaviour of a biological character, extending existing understanding. This may in time provide a more fruitful understanding of the natural world than does the regular approach. The essential concepts have an observational basis from both biology and the little-known discipline of cymatics (a discipline concerned with the remarkable patterns that specific waveforms can give rise to), while again computer simulations also offer promise in providing insight into the complex behaviours involved in the above proposals. -/- References -/- Jesper Hoffmeyer, Semiotic Scaffolding of Living Systems. Commens, a Digital Companion to C. S. Peirce (on Commens web site). Terrence Deacon, The Symbolic Species, W.W. Norton & Co. Karen Barad, Meeting the Universe Halfway: Quantum Physics and the Entanglement of Matter and Meaning, Duke University Press. Philip Davis and Reuben Hersh, The Mathematical Experience, Penguin. Ilexa Yardley, Circular Theory. (shrink)

Capital Redefined presents a unique perspective on the nature of “capital,” departing from the prevailing reductionist accounts. Hosseini and Gills offer an expanded perspective on Marxian value theory by addressing its main limitations and building their own integrative value theory. They argue that the current understanding of “value” must be re-examined and liberated from its subservient ties to capital while acknowledging the ways in which capital appropriates value. This is achieved by differentiating between “fetish value” created by capital and “true (...) value” generated through various commons-based forms of coexistence. The authors propose a defetishization of value by rejecting the commonly accepted idea of its objectivity. They introduce their “commonist value theory,” which redefines capital as both the product and process of perverting the fundamental commoning causes of true value into sources of fetish value. Capital is theorized through a “modular” framework, where multiple intersecting processes constitute a comprehensive power structure, a “value regime,” representing an unprecedented degree of the domination of capital over life. Their theory reconciles two apparently incompatible views on the notion of value. One view encompasses all inputs involved in capitalist value production and conflates intrinsic and commodity values. The other warns against this conflation as it treats capital as an entity tightly associated only with commodity production and wage labor. The authors believe that establishing alternative forms of value creation based on normative principles of living in commons is crucial as an analytical base for criticizing existing power structures and economic systems. The book offers a theoretical foundation for transforming our life worlds toward “post-capitalist” futures. It appeals to scholars and students in various fields, such as political economy, capitalism, and post-capitalist studies, economic and political sociology, globalization, development studies, social ecology, and ecological philosophy. The Open Access version of this book, available at taylorfrancis com, has been made available under a Creative Commons Attribution-Non Commercial-No Derivatives (CC-BY-NC-ND) 4.0 license. (shrink)

Initiatory symbology collects various forms of symbols: those that belong to an ancient tradition and that present themselves as a normalization of the past in a modernized key; those that derive from a pact between the members of the initiatory community and that guarantee the unity of the group, which are synchronized within the group itself; those that have the sense of projection to overcome the gnoseological limits of the group and its members, are traditional but through their character of (...) semantic multiplicity offer new gnoseological opportunities. Silence is not part of the first category, because not all ancient or traditional initiatory groups used it ritually or considered it as a symbol and therefore could not have a normative function susceptible to modernization. It can be a crucial moment of the second when it is ritualized in the different phases of learning on the basis of an agreement connected to the creation of the ritual and forming itself as one of the synchronic fulcrums of the group, ensuring its unity. It can also belong to the third case when it takes on a traditional guise but having its own multidimensional semantics, in the communion of saying and silent pulses of new opportunities for initiatory growth. Silence in the initiatory context is a specific linguistic form that characterizes the entire path of the initiates. Within the group, they elaborate the syntax of silence, the morphology of tacitly expressed symbols, without fully explaining their meanings. Each symbol, or sign in the semiotic sense, has different meanings for the different phases of the initiation process. Each one belongs to a different type of relationship with what it refers to: it has a relationship of "similarity" such as the design of a team and compass that illustrates operational objects, of "proximity" when it manifests the operation of measuring and relating the relationships for which the object is intended, of "concordance" if it refers to the object within the knowledge of an architectural rule. The symbol as a special form of sign manifests itself (first phase of learning), as in the example, in iconographic-descriptive mode containing a meaning "dictated". It is an initiatory dictatio to be kept in silence in front of the essoteric world, of which the initiating is still permeated, the symbolism must be evoked without making explicit its intimate meanings, it is described but not fully exposed. It is the evocative, indeterminate and silent value that must stimulate the initiating in the search for meanings. The indetermination of silence destructures the essoteric, its thought its categories, criteria and values, leads to the desert of essoteric meanings as a way to the ontology of initiatory language. It is a stage of waiting, of referral to another world. We suspect meanings that in the next phase begin to manifest themselves in a more precise dictatio, a functional dictamen to represent the concept of measurement in its multiple meanings where the measure is assumed as symbolic-conceptual abstraction. Continuing, the sign in the form of an object strips itself of any factual and existential reference, of the communication of an abstraction or conceptual ideation and unmasks itself in its being an initiatory "rule". It is assumed, therefore, that initiatory improvement passes through the understanding of the signs, an understanding that is increasingly deeper and more comprehensive and that is autonomous and independent of the signs of the exoteric world. With regard to the symbolic-initiatic language, learning, from the apprenticeship phase to the following phases, focuses on the study of the formal relationships of symbols within initiatory gnoseology, on the meanings inherent in symbols and on their relationship with the initiatory community. (shrink)