This brief brochure is intended to present a philosophical theory known as re- lational materialism. We introduce the postulates and principles of the theory, ar- ticulating its ontological and epistemological content using the language of category theory. The identification of any existing entity is primarily characterized by its relational, finite, and non-static nature. Furthermore, we provide a categorical con- struction of particularities within the relational materialist onto-epistemology. Our objective is to address and transform a specific perspective prevalent in scientific (...) communities into a productive network of philosophical commitments. (shrink)

This brief brochure is intended to present a philosophical theory known as relational materialism. We introduce the postulates and principles of the theory, articulating its ontological and epistemological content using the language of category theory. The identification of any existing entity is primarily characterized by its relational, finite, and non-static nature. Furthermore, we provide a categorical construction of particularities within the relational materialist onto-epistemology. Our objective is to address and transform a specific perspective prevalent in scientific communities into a (...) productive network of philosophical commitments. (shrink)

Objective. Study of the Covid-19 related quarantine concept as an emerging category of linguistic consciousness of Ukrainians. -/- Materials & Methods. The strategy of the study is based on the logical and methodological concept of inductivism. Respondents were asked to write down their own understanding of the quarantine, formulate an appropriate definition and describe the situation, which in their opinion is the exact opposite to quarantine. Respondents also assessed how much their psychological well-being, their daily lifestyle during quarantine had (...) changed, and ranked their preferences for the quarantine strategies proposed to them. A discursive analysis was applied to the obtained texts, as a result of which nine discourses were identified. These data, along with some socio-demographic characteristics were subjected to multidimensional mathematical and statistical processing. -/- Results. Covid-19 related quarantine is represented in the linguistic consciousness of Russian-speaking Ukrainians by a discursive field, which includes at least nine recognizable, semantically autonomous discourses. Empirically discovered such phenomenon as – inter-discourse semantic dissociation. Its essence is a statistically significant reduction in the probability of some discourses appearing in the texts when others are being actualized there. This feature is associated with the innate negativity of the language and determines the semantic biasing of the quarantine concept. Inter-discourse semantic dissociation, as well as the influence of non-discursive factors constitute the discursive formation of the quarantine concept, which is qualitatively characterized by the hierarchical relationship of its components. At the same time, it was revealed that part of the discourses interacting “horizontally” are indirectly associated “vertically”, which forms the stable semantic core of the quarantine concept. Partial empirical confirmation has been found of the previously put forward assumptions about: a) the existence of such a relationship between discourses and psychological defense mechanisms (as character-forming factors) that contributes to the hierarchical structure construction of discursive formations; b) the differential nature of discourses and mechanisms of psychological defenses interaction, which makes it possible to single out the discursive aspect in a characterological profile and consider a discourse as an operator of characterological semantics. -/- Conclusions. An empirical study made it possible to form a primary idea of the substantive and structural semantic features of the quarantine concept, as an emerging category of linguistic consciousness of Ukrainians. The results obtained have a potentially useful application perspective. Thus, when implementing anti-epidemiological measures, it is important to consider the studied features of the discursive formation hierarchical structure of the quarantine concept, since discursive semantics are associated with cognitive focusing, which, in turn, affects the behavior direction and its upshots. (shrink)

Foundations of Relational Realism presents an intuitive interpretation of quantum mechanics, based on a revised decoherent histories interpretation, structured within a category theoretic topological formalism. -/- If there is a central conceptual framework that has reliably borne the weight of modern physics as it ascends into the twenty-first century, it is the framework of quantum mechanics. Because of its enduring stability in experimental application, physics has today reached heights that not only inspire wonder, but arguably exceed the limits of (...) intuitive vision, if not intuitive comprehension. For many physicists and philosophers, however, the currently fashionable tendency toward exotic interpretation of the theoretical formalism is recognized not as a mark of ascent for the tower of physics, but rather an indicator of sway—one that must be dampened rather than encouraged if practical progress is to continue. -/- In this unique two-part volume, designed to be comprehensible to both specialists and non-specialists, the authors chart out a pathway forward by identifying the central deficiency in most interpretations of quantum mechanics: That in its conventional, metrical depiction of extension, inherited from the Enlightenment, objects are characterized as fundamental to relations—i.e., such that relations presuppose objects but objects do not presuppose relations. The authors, by contrast, argue that quantum mechanics exemplifies the fact that physical extensiveness is fundamentally topological rather than metrical, with its proper logico-mathematical framework being category theoretic rather than set theoretic. -/- By this thesis, extensiveness fundamentally entails not only relations of objects, but also relations of relations. Thus, the fundamental quanta of quantum physics are properly defined as units of logico-physical relation rather than merely units of physical relata as is the current convention. Objects are always understood as relata, and likewise relations are always understood objectively. In this way, objects and relations are coherently defined as mutually implicative. The conventional notion of a history as “a story about fundamental objects” is thereby reversed, such that the classical “objects” become the story by which we understand physical systems that are fundamentally histories of quantum events. -/- These are just a few of the novel critical claims explored in this volume—claims whose exemplification in quantum mechanics will, the authors argue, serve more broadly as foundational principles for the philosophy of nature as it evolves through the twenty-first century and beyond. (shrink)

The purpose of this book is to address the controversial issues of whether we have a fixed set of ontological categories and if they have some epistemic value at all. Which are our ontological categories? What determines them? Do they play a role in cognition? If so, which? What do they force to presuppose regarding our world-view? If they constitute a limit to possible knowledge, up to what point is science possible? Does their study make of philosophy a science? Departing (...) from the novelty –but no exclusively- of considering distinctions to be the subject matter of thought and language -that is, of reference and meaning- the author arrives at a radical novel conception of the ontological categories. The observations and arguments presented in it constitute a strong case against established and well-rooted tenets, if not paradigms, of contemporary philosophy, beyond ontology and epistemology. The entailing conclusions, open the door to a revival of the discipline and the importance of its studies, as the science of the constitutive elements of knowledge of a non-empirical nature. (shrink)

I begin by arguing that, for Kant, the pure category of substance has both a general content that is in play whenever we think of any entity as a substance as well as a more specific content that arises in conjunction with the thought of what Kant calls a positive noumenon. Drawing on this new “Dual Content” account of the pure category of substance, I offer new answers to two contested questions: What is the relation of the (...) pure category to phenomenal substance? What, if any, epistemic gains can we achieve when we apply the pure category to noumena? Regarding the first question, I argue that while phenomenal substance does not qualify as a substance according to the Inner-Simple Conception, it does qualify as one according to the Subsistence-Power Conception. Regarding the second question, I argue that, in the case of the substantiality of positive noumena, Kant’s account allows for justified conditional beliefs involving the Inner-Simple Conception. In the case of negative noumena, it allows for justified existential beliefs involving the Subsistence-Power Conception. (shrink)

The trope bundle theories of objects are capable of analyzing monadic inherence (objects having tropes), which is one of their main advantage. However, the best current trope theoretical account of relational tropes, namely, the relata specific view leaves relational inherence (a relational trope relating two or more entities) primitive. This article presents the first trope theoretical analysis of relational inherence by generalizing the trope theoretical analysis of inherence to relational tropes. The analysis reduces the holding of relational inherence to the (...) obtaining of certain other facts about entities of the trope theoretical category system. Moreover, I show that the analysis can deal with asymmetric and non-symmetric relations by assuming that all relation-like tropes are quantities. Finally, I provide an account of the spatial location of tropes in the difficult case in which tropes contribute to determining of the location of other entities. (shrink)

The precondition of any feminist politics – a usable category of ‘woman’ – has proved to be difficult to construct, even proposed to be impossible, given the ‘problem of exclusion’. This is the inevitable exclusion of at least some women, as their lives or experiences do not fit into the necessary and sufficient condition(s) that denotes group membership. In this paper, I propose that the problem of exclusion arises not because of inappropriate category membership criteria, but because of (...) the presumption that categories can only be organised by identity relations or shared properties among their members. This criterion of sameness as well as the characterisation of this exclusion as essentialism attests to a metaphysics that is not conducive to resistance and liberatory projects. Following a strain of hybrid thinking in feminist and post-colonial theory, I outline an alternative pluralist logic that confronts oppressive binaries that impede theory work in gender, sexuality, and race theory, and limit political action and resistance. The problem of exclusion is neither irresolvable nor is it essentialism. Instead it is a denial of subjectivity due to pseudodualistic self/Other dichotomies that can be resisted by adopting a new categorial logic. While this paper focuses on the specific problem of formulating a category of ‘woman’, it has implications for other areas of gender, critical race, and postcolonial theory. Rather than working toward an inclusive category founded on sameness, theorists need to develop independent and positive categories grounded in difference. Our current categorial logic does not permit such a project, and therefore a new metaphysics must be adopted. (shrink)

I defend an interpretation of the first Critique’s category of totality based on Kant’s analysis of totality in the third Critique’s Analytic of the mathematical sublime. I show, firstly, that in the latter Kant delineates the category of totality — however general it may be — in relation to the essentially singular standpoint of the subject. Despite the fact that sublime and categorial totality have a significantly different scope and function, they do share such a singular baseline. (...) Secondly, I argue that Kant’s note (in the first Critique’s metaphysical deduction) that deriving the category of totality requires a special act of the understanding can be seen as a ‘mark’ of that singular baseline. This way, my aesthetical ‘detour’ has the potential of revealing how the subjective aspects of object-constitution might be accounted for in the very system of the categories (of quantity) itself. (shrink)

Second Scholasticism greatly developed the medieval theory of continuous quantity as the Aristotelian notion for thematizing spatial extension, paving the way for the idea of space as extension in early modern natural philosophy. The article analyzes the section related to the category of continuous quantity in the Coimbra commentary on the Dialectics (1606), showing that it is indebted to the novel theory of Francisco Suárez on quantity as bestowing extension to a body in a particular sense, something which had (...) been overlooked by previous research. The scholarly debate on quantity was brought to China, and here the Chinese translation is examined of the section on quantity in the fourth volume of the Mingli Tan, published in China in 1636-­1639. (shrink)

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

The goal of this paper is to develop a systematic taxonomy of cognitive artifacts, i.e., human-made, physical objects that functionally contribute to performing a cognitive task. First, I identify the target domain by conceptualizing the category of cognitive artifacts as a functional kind: a kind of artifact that is defined purely by its function. Next, on the basis of their informational properties, I develop a set of related subcategories in which cognitive artifacts with similar properties can be grouped. In (...) this taxonomy, I distinguish between three taxa, those of family, genus, and species. The family includes all cognitive artifacts without further specifying their informational properties. Two genera are then distinguished: representational and non-representational (or ecological) cognitive artifacts. These genera are further divided into species. In case of representational artifacts, these species are iconic, indexical, or symbolic. In case of ecological artifacts, these species are spatial or structural. Within species, token artifacts are identified. The proposed taxonomy is an important first step towards a better understanding of the range and variety of cognitive artifacts and is a helpful point of departure, both for conceptualizing how different artifacts augment or impair cognitive performance and how they transform and are integrated into our cognitive system and practices. (shrink)

In this paper we propose a very general de nition of combination of logics by means of the concept of sheaves of logics. We first discuss some properties of this general definition and list some problems, as well as connections to related work. As applications of our abstract setting, we show that the notion of possible-translations semantics, introduced in previous papers by the first author, can be described in categorial terms. Possible-translations semantics constitute illustrative cases, since they provide a new (...) semantical account for abstract logical systems, particularly for many-valued and paraconsistent logics. (shrink)

I provide a critical commentary regarding the attitude of the logician and the philosopher towards the physicist and physics. The commentary is intended to showcase how a general change in attitude towards making scientific inquiries can be beneficial for science as a whole. However, such a change can come at the cost of looking beyond the categories of the disciplines of logic, philosophy and physics. It is through self-inquiry that such a change is possible, along with the realization of the (...) essence of the middle that is otherwise excluded by choice. The logician, who generally holds a reverential attitude towards the physicist, can then actively contribute to the betterment of physics by improving the language through which the physicist expresses his experience. The philosopher, who otherwise chooses to follow the advancement of physics and gets stuck in the trap of sophistication of language, can then be of guidance to the physicist on intellectual grounds by having the physicist’s experience himself. In course of this commentary, I provide a glimpse of how a truthful conversion of verbal statements to physico-mathematical expressions unravels the hitherto unrealized connection between Heisenberg uncertainty relation and Cauchy’s definition of derivative that is used in physics. The commentary can be an essential reading if the reader is willing to look beyond the categories of logic, philosophy and physics by being ‘nobody’. (shrink)

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)

Rodrigues and Banzato related the validity of diagnostic categories to their meaningfulness and I wish to explore this relation further without attempting to make criticisms. To commence, if a diagnostic category is to be valid, it must mean something.

Category-based induction is an inferential mechanism that uses knowledge of conceptual relations in order to estimate how likely is for a property to be projected from one category to another. During the last decades, psychologists have identified several features of this mechanism, and they have proposed different formal models of it. In this article; we propose a new mathematical model for category-based induction based on distances on conceptual spaces. We show how this model can predict most of (...) the properties of this kind of reasoning while providing a solid theoretical foundation for it. We also show that it subsumes some of the previous models proposed in the literature and that it generates new predictions. (shrink)

A religious and philosophical treatise called Works of love was written by Kierkegaard in 1847 under Kierkegaard’s name. It’s a Christian book and not pseudonomical writing like his early writings. R. Gregor Smith notes that Kierkegaard’s study of love reaches to the heart of Christian thought. Indeed, it discusses the matter of Love in his different senses: self-love, love for the neighbour and love for God. So, it focuses on the relation between the self and the others. In Works (...) of Love, he sets up a contrast between the natural loves like erotic love (Elskov) and friendship (Venskab) on one hand, and the love for God and neighbour on the other hand. There is an evident tension between the different attitudes that Kierkegaard expresses in that writing with regard to preferential love. That why, perhaps, a great critics Løgstrup judges Works of Love to be “a brilliantly thought out system of safeguards against being forced into a close relationship with other people1”. In this article, I offer a brief account of some Kierkegaard’s key concerns about love: its’s preferential love and its being a form of self-love. I will discuss the means of preferential love which presents romantic love and friendship. This is, according to Kierkegaard, a real form of selfishness. Christian love is expressed in the Divine Commandment: “You shall love your neighbour as yourself” as Matthew said (22:39), so Kierkegaard shows that “Christian love teaches us to love all people, unconditionally all” (1995, 49). That words “shall” is the “very mark of Christian love” because that love is the duty to love neighbour, any neighbour as one loves oneself. Why does Kierkegaard separate two kinds of love? Is it so different? Preferential love is excluded from the category of neighbourly love because it is understood by the poet. That is to say that preferential love is only showing by the poet way. Therefore, erotic love and friendship aren’t dismissed altogether but only as long as they are understood in the pagan way, or more clearly as a poet manner. (shrink)

The Greek model of the Trinity, based on the Theological Orations of Gregory of Nazianzus, treats the Trinitarian relations as connections between the Father and the two other persons: the Son and the Holy Spirit. The two relations have to be heteronymous, and have to be interpreted from the extreme realistic position. The Latin Trinitarian model, based on Boethius’ De Trinitate, treats relations as three subsistent persons. The relations have to be unidirectional: from the Father to the Son, and from (...) both of them to the Holy Spirit. Both models are adequate and effective, but incompatible. One of the consequences of this incompatibility is the problem of filioque: the introduction of an additional relation of procession into the Greek model as well as the exclusion of this relation from the Latin model result in the inadequacy of the models. From the point of view of the complementability of a model, the Greek model allows introduction of new elements, while the Latin model does not. The soteriological consequences are such that the Greek model welcomes a human person to establish a unique relation with the person of the Father, which leads to the theosis of a creature. The Latin model requires the saving relation to be established with the whole Trinity, and theosis is not supported. (shrink)

The core idea of A Relational Theory of Justice is that normative political and legal philosophy should be grounded on people’s relational features, in particular their ability to commune with others and be communed with by them. Usually, philosophers of justice in the West have based their views on people’s intrinsic features, ones that make no essential reference to others, such as their autonomy, self-ownership, or well-being. In addition, often critics of basing politics and law on justice, whether in the (...) African, feminist/care, Marxian, or Confucian traditions, have appealed to non-intrinsic values as leverage, roughly contending that relationships are more important than justice. In contrast to both major camps, this book articulates and defends accounts of justice based on the dignity of people’s relational nature. A proper valuation of people’s capacity to be party to communal relationships does not transcend categories of justice, but instead calls for certain sorts that differ in plausible ways from those grounded on intrinsic properties. Applications are discussed in the contexts of political, economic, compensatory, criminal, transitional, and global justice. Available for download is the Table of Contents. (shrink)

Many scholars believe that "On a New List of Categories" is a metaphysical or transcendental deduction. This essay will argue that Peirce derives the categories by induction and validates their order by precision . Afterwards, the article will draw support from Peirce's youthful and mature writings to explain how the new way of listing the categories can serve as a genealogy of meaning : how different types of terms, propositions and arguments emerge in the reasoning process as different types of (...) signs. In this way, the genealogy of meaning would then qualify as both a phenomenology of logic and a science of semiotics.. Such a science of semiotics will have three types of comparison corresponding to the sign-relation in inference: namely, uniparance, diaparance and comparance. Then, the three types of comparison will give rise to three types of relative in different types of proposition: namely, concurrent, disquiparant, and equal. Finally, the three types of relative will give rise to different types of signs corresponding to different types of terms: namely, icons, indices and symbols. With this classification, then, there is an explanation of how the reasoning process is a semiotic process with three forms of valid arguments: namely, hypothesis, induction and deduction . (shrink)

This paper addresses the ontological status of the ontological categories as defended within E.J. Lowe’s four-category ontology (kinds, objects, properties/relations, and modes). I consider the arguments in Griffith (2015. “Do Ontological Categories Exist?” Metaphysica 16 (1):25–35) against Lowe’s claim that ontological categories do not exist, and argue that Griffith’s objections to Lowe do not work once we fully take advantage of ontological resources available within Lowe’s four-category ontology. I then argue that the claim that ontological categories do not (...) exist has no undesirable consequences for Lowe’s brand of realism. (shrink)

Problem Statement. In modern conditions the reconstruction of self-developing socio-technological- ecological systems, which include man as its element, is actualized. The result of such a construction will be the management of the value of technogenic risk in its biological, social and civilizational forms. And the obvious consequence will be the transition of the development of biopolitical problems to a new, no longer international, but global-evolutionary level. The theory and practice of such a reconstruction can be designated by the category (...) of “Transbiolitics,” which implies the political institutionalization of “ecological re整ection. The article is a logical continuation of our previous publication devoted to the analysis of the transformation of the political process into the main factor of global evolution and the biopolitical transformation of the geopolitical landscape. The purpose of this paper is to create a general sketch of the con散guration of the main trends of the coevolutionary interaction of biological, sociocultural and techno-rationalist modules of the stable evolutionary strategy of the technogenic civilization in the space of bio- and geopolitical connotations of international relations. Based on a combination of methods of conceptual, discursive and political-anthropological analysis (in the context of transbiolitical paradigm) the content of the category “Transbiolitical Chronotope” is revealed: a geopolitically di䍕erentiated set of socio-cultural vectors of modern civilization evolution. In other words, the trans-biopolitical chronotope determines the direction of inclusive technological transformation of both cultural and ecological niche and the biosocial nature of man. The general conclusion/prognosis can be reduced to two theses. Firstly, transbiolitics, formed in a di䍕erentiated cultural-civilizational context, is currently being integrated into the general political process, partially replacing and partially intertwining with geopolitical doctrines in the sphere of international relations. Secondly, the growing con整ict of technological civilization with the cultural and ecological niche constructed by it through the turbulence of the geopolitical sphere of social life can bring the level of technological and civilizational risk to the existential boundary. (shrink)

I describe an account of ontological categories which does justice to the facts that not all categories are ontological categories and that ontological categories can stand in containment relations. The account sorts objects into different categories in the same way in which grammar sorts expressions . It then identifies the ontological categories with those which play a certain role in the systematization of collections of categories. The paper concludes by noting that on my account what ontological categories there are is (...) partially interest-relative, and that furthermore no object can belong essentially to its ontological category. (shrink)

‘Relational value’ (RV) has intuitive credibility due to the shortcomings of existing axiological categories regarding recognizing the ethical relevance of people’s relations to nature. But RV is justified by arguments and analogies that do not hold up to closer scrutiny, which strengthens the assumption that RV is redundant. While RV may provide reasons for ethically considering some relations, much work remains to show that RV is a concept that does something existing axiological concepts cannot, beyond empirically describing relations people have (...) to environmental areas and places. (shrink)

Ontology, since Aristotle, has been conceived as a sort of highly general physics, a science of the types of entities in reality, of the objects, properties, categories and relations which make up the world. At the same time ontology has been for some two thousand years a speculative enterprise. It has rested methodologically on introspection and on the construction and analysis of elaborate world-models and of abstract formal-ontological theories. In the work of Quine and others this ontological theorizing in abstract (...) fashion about the world was supplemented by the study, based on the use of logical methods, of the ontological commitments or presuppositions embodied in scientific theories. In recent years both types of ontological study have found application in the world of information systems, for example in the construction of frameworks for knowledge representation and in database design and translation. As ontology is in this way drawn closer to the domain of real-world applications, the question arises as to whether it is possible to use empirical methods in studying ontological theories. More specifically: can we use empirical methods to test the ontological theories embodied in human cognition? We set forth the outlines of a framework for the formulation and testing of such theories as they relate to the specific domain of geographic objects and categories. (shrink)

One important thesis Ásta defends in Categories We Live By is that social properties and categories are somehow dependent on our thoughts, attitudes, or practices—that they are inventions of the mind, projected onto the world. Another important aspect of her view is that the social properties are related to certain base properties; an individual is placed in a category when the relevant base properties are thought to hold of them. I see the relationship between the social and the base (...) as connected to the problem of explaining how the social properties are sufficiently stable so as to be taken seriously, both in theoretical endeavors as well as in practical matters of how we relate to each other. In this light, I identify stability constraints for an adequate account of social categories. I argue that certain distinctive aspects of Ásta's conferralist view of social categories, such as the radical contextualism in her account of gender, undermine the stability of categories and are at odds with taking social categories seriously. I end with the suggestion that a distinctive “sheltered” form of normativity might help us do justice to Ásta's insights while avoiding some of the destabilizing elements of conferralism. (shrink)

I defend a one category ontology: an ontology that denies that we need more than one fundamental category to support the ontological structure of the world. Categorical fundamentality is understood in terms of the metaphysically prior, as that in which everything else in the world consists. One category ontologies are deeply appealing, because their ontological simplicity gives them an unmatched elegance and spareness. I’m a fan of a one category ontology that collapses the distinction between particular (...) and property, replacing it with a single fundamental category of intrinsic characters or qualities. We may describe the qualities as qualitative charactersor as modes, perhaps on the model of Aristotelian qualitative (nonsubstantial) kinds, and I will use the term “properties” interchangeably with “qualities”. The qualities are repeatable and reasonably sparse, although, as I discuss in section 2.6, there are empirical reasons that may suggest, depending on one’s preferred fundamental physical theory, that they include irreducibly intensive qualities. There are no uninstantiated qualities. I also assume that the fundamental qualitative natures are intrinsic, although physics may ultimately suggest that some of them are extrinsic. On my view, matter, concrete objects, abstract objects, and perhaps even spacetime are constructed from mereological fusions of qualities, so the world is simply a vast mixture of qualities, including polyadic properties (i.e., relations). This means that everything there is, including concrete objects like persons or stars, is a quality, a qualitative fusion, or a portion of the extended qualitative fusion that is the worldwhole. I call my view mereological bundle theory. (shrink)

The aim of the Schematism chapter of the Critique of Pure Reason is to solve the problem posed by the “inhomogeneity” of intuitions and categories: the sensible properties of objects represented in intuition are of a different kind than the properties represented by categories. Kant's solution is to introduce what he calls “transcendental schemata,” which mediate the subsumption of objects under categories. I reconstruct Kant's solution in terms of two substantive premises, which I call Subsumption Sufficiency (i.e., that subsuming an (...) object under a transcendental schema is sufficient to subsume it under the corresponding category) and Real Possibility (i.e., that it is really possible to subsume objects under each of the transcendental schemata). These two principles, together with a trivial modal one (the Subsumption-Possibility Link), entail that it is possible to subsume objects under categories; in other words, the argument of the Schematism is valid. The main work of the paper consists in reconstructing Kant's arguments for, and explanations of, these premises. I argue that they hinge on Kant's claim that transcendental schemata are “time-determinations,” which I interpret to mean: rules for reflexively representing the temporal relations among our own representational states. On the basis of this reading, I reconstruct Kant's argument for Subsumption Sufficiency, category by category. I also explain why Real Possibility follows almost immediately. Granting Kant the argument up to this point in the Critique, the argument of the Schematism is sound. (shrink)

Two experiments are reported which demonstrated intransitivity in category judgments, thus challenging a widely held assumption that the relation between categorized sets is one of class inclusion. Subjects consistently accepted the truth of certain category statements, in spite of being aware of the existence of counterexamples. Implications for semantic memory theory are discussed.

This paper will present an analysis of the relational aspect of Brentano’s last theory of intentionality. My main thesis is that Brentano, at the end of his life, considered relations (relatives) without existent terms to be genuine relations (relatives). Thus, intentionality is a non-reducible real relation (the thinking subject is a non-reducible real relative) regardless of whether or not the object exists. I will use unpublished texts from the Brentanian Nachlass to support my argument.

In this talk, I propose a new account of ontological form, formal ontological relations, modes of being and hence of specifying the subject matter of metaphysics.

Images of species, sets, and containers, combined with an obsolete positivist theory of meaning and a curiously illogical interpretation of a structuralist understanding of meaning, together have driven feminists and their critics to find unavoidable essentialism and binary totalism in feminist theorists' use of the category WOMEN. This paper explores an enriched imagination for how categories can be structured internally and in relations to other categories, and proposes that we need to think categories simultaneously through multiple and mixed metaphors, (...) including the metaphors of a spun thread and family resemblance, and the image of correlational densities in multidimensional quality spaces. (shrink)

This paper uses a partially ordered set of syntactic categories to accommodate optionality and licensing in natural language syntax. A complex but well-studied data set pertaining to the syntax of quantifier scope and negative polarity licensing in Hungarian is used to illustrate the proposal. The presentation is geared towards both linguists and logicians. The paper highlights that the main ideas can be implemented in different grammar formalisms, and discusses in detail an implementation where the partial ordering on categories is given (...) by the derivability relation of a calculus with residuated and Galois-connected unary operators. (shrink)

As a guide to source material, the book will be useful to readers already somewhat familiar with Vaiśeṣika, and as a reference guide, the book’s lists of categories (padārthas) and other related concepts will also be handy for the same. However, the book is less satisfactory for readers wishing for a general introduction to the study of Vaiśeṣika, given its organization, coupled with its heavy use of untranslated Sanskrit and assumption that readers are already familiar with Indian philosophy. Philosophically speaking, (...) the book is useful in sketching out the commitments of Vaiśeṣikas and their interlocutors, more on which below, but is sparse when it comes to developing the nuances of the sustained arguments and objections throughout the lengthy history of Vaiśeṣika influence on Indian thought. (shrink)

The cognitive processing of spatial relations in Euclidean diagrams is central to the diagram-based geometric practice of Euclid's Elements. In this study, we investigate this processing through two dichotomies among spatial relations—metric vs topological and exact vs co-exact—introduced by Manders in his seminal epistemological analysis of Euclid's geometric practice. To this end, we carried out a two-part experiment where participants were asked to judge spatial relations in Euclidean diagrams in a visual half field task design. In the first part, we (...) tested whether the processing of metric vs topological relations yielded the same hemispheric specialization as the processing of coordinate vs categorical relations. In the second part, we investigated the specific performance patterns for the processing of five pairs of exact/co-exact relations, where stimuli for the co-exact relations were divided into three categories depending on their distance from the exact case. Regarding the processing of metric vs topological relations, hemispheric differences were found for only a few of the stimuli used, which may indicate that other processing mechanisms might be at play. Regarding the processing of exact vs co-exact relations, results show that the level of agreement among participants in judging co-exact relations decreases with the distance from the exact case, and this for the five pairs of exact/co-exact relations tested. The philosophical implications of these empirical findings for the epistemological analysis of Euclid's diagram-based geometric practice are spelled out and discussed. (shrink)

Kimberlé Williams Crenshaw ends her landmark essay “Mapping the Margins: Intersectionality, Identity Politics, and Violence against Women of Color” with a normative claim about coalitions. She suggests that we should reconceptualize identity groups as “in fact coalitions,” or at least as “potential coalitions waiting to be formed.” In this essay, I explore this largely overlooked claim by combining philosophical analysis with archival research I conducted at the Gay, Lesbian, Bisexual and Transgender Historical Society Archive in San Francisco about Somos Hermanas, (...) the solidarity project of the Alliance Against Women’s Oppression, based in the San Francisco Women’s Building (1984–90). I extend my analysis into the present by drawing on the oral history and published works of Carmen Vázquez, a key organizer in both Somos Hermanas and the Women’s Building. I argue that conceptualizing identities as in fact coalitions—as complex, internally heterogeneous unities constituted by their internal differences and dissonances and by internal as well as external relations of power—enables us to organize effective political coalitions that cross existing identity categories and to pursue a liberatory politics of interconnection. (shrink)

This paper provides an axiomatic formalization of a theory of foundational relations between three categories of entities: individuals, universals, and collections. We deal with a variety of relations between entities in these categories, including the is-a relation among universals and the part-of relation among individuals as well as cross-category relations such as instance-of, member-of, and partition-of. We show that an adequate understanding of the formal properties of such relations – in particular their behavior with respect to time (...) – is critical for formal ontology. We provide examples to support this thesis from the domain of biomedicine. (shrink)

The adequacy of similarity to prototype as an account of categorization in natural concepts was assessed by analyzing the monotonicity of the relation between typicality of an item in a category and the probability of a positive categorization response using data from McCloskey and Glucksberg (1978). The analysis revealed a strong underlying similarity-based threshold curve, with systematic deviations. Further data collection showed that deviations from the curve could be attributed to the effects of unfamiliarity and non-categorial associations on (...) typicality judgments, as well as differences between the perceptual appearance of an item (which tended to boost typicality) and its underlying nature (which tended to boost categorization). The results are discussed in terms of the different presuppositions and task constraints involved in rating typicality as opposed to performing a categorization. (shrink)

Frege's conception of the logical categories has vexed commentators for decades. In this dissertation, I argue that it revolves around two forms of internality. The first is the internality of its use in the expression of judgment to the sign. A proper understanding of that internality reveals how Frege's philosophical logic cannot be fit into the framework given by the contemporary syntax/semantics distinction. The second is the internality that obtains between the way in which Begriffsschrift signs stratify into different categories, (...) on the one hand, and the way in which the realm of Bedeutungen stratifies into logical categories, on the other hand. A proper understanding of this internality reveals how Frege's conception of the relation between language and the world is neither a form of realism nor a form of linguistic idealism. To come to understand Frege's conception of the logical categories, is to come to understand both these forms of internality by coming to understand how they hang together. (shrink)

About thirty years ago, when the Internet started to be commercialised, access to the medium became a topic of research and debate. Up-to-date evidence about key predictors, such as age, is crucial because of the Internet's ever-changing nature and the challenges associated with gaining access to it. This paper aims to give an overview of New Zealand's Internet access trends and how they relate to age. It is based on secondary analysis of data from a larger online panel survey with (...) 1,001 adult respondents. The Chi-square test of independence and Cramer's V were used in the analysis. The study provides new evidence to understand the digital divide. Specifically, it uncovers a growing disparity in the quality of Internet connectivity. Even though fibre is the most common type of broadband connection at home, older adults are less likely to have it and more likely to use wireless broadband, which is a slower connection type. Additionally, a sizable majority of people in all age categories have favourable opinions on the Internet. Interestingly, this was more prevalent among older people, although they report an increased concern about the security of their personal information online. The implications of the results are discussed and some directions for future research are proposed. (shrink)

Fichte argues that the conclusion of Kant’s transcendental deduction of the categories is correct yet lacks a crucial premise, given Kant’s admission that the metaphysical deduction locates an arbitrary origin for the categories. Fichte provides the missing premise by employing a new method: a genetic deduction of the categories from a first principle. Since Fichte claims to articulate the same view as Kant in a different, it is crucial to grasp genetic deduction in relation to the sorts of deduction (...) that Kant offers. I propose to interpret genetic deduction as the simultaneous fulfillment of two tasks: answering the question quid facti by deriving the categories from the I and answering the question quid juris by establishing our entitlement to the categories as conditions of experience. While the second task represents Fichte’s agreement with Kant’s transcendental deduction, the first reflects his correction of Kant’s metaphysical deduction. (shrink)

A homeomorphism is built between the separable complex Hilbert space (quantum mechanics) and Minkowski space (special relativity) by meditation of quantum information (i.e. qubit by qubit). That homeomorphism can be interpreted physically as the invariance to a reference frame within a system and its unambiguous counterpart out of the system. The same idea can be applied to Poincaré’s conjecture (proved by G. Perelman) hinting at another way for proving it, more concise and meaningful physically. Furthermore, the conjecture can be generalized (...) and interpreted in relation to the pseudo-Riemannian space of general relativity therefore allowing for both mathematical and philosophical interpretations of the force of gravitation due to the mismatch of choice and ordering and resulting into the “curving of information” (e.g. entanglement). Mathematically, that homeomorphism means the invariance to choice, the axiom of choice, well-ordering, and well-ordering “theorem” (or “principle”) and can be defined generally as “information invariance”. Philosophically, the same homeomorphism implies transcendentalism once the philosophical category of the totality is defined formally. The fundamental concepts of “choice”, “ordering” and “information” unify physics, mathematics, and philosophy and should be related to their shared foundations. (shrink)

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

Two stories have dominated the historiography of early modern philosophy: one in which a seventeenth century Age of Reason spawned the Enlightenment, and another in which a skeptical crisis cast a shadow over subsequent philosophy, resulting in ever narrower "limits to knowledge." I combine certain elements common to both into a third narrative, one that begins by taking seriously seventeenth-century conceptions of the topics and methods central to the rise of a "new" philosophy. In this revisionist story, differing approaches to (...) the central subject matter of early modern metaphysics--knowledge of substances through their essences and causal powers--arise as a result of disagreements about the powers of the human cognitive faculties. Methodological writings are seen as attempts to direct readers in the proper use of their cognitive faculties. The early modern rejection of the Aristotelian theory of cognition ranks equally in importance with rejection of Aristotelian doctrines about nature. Skepticism is more often than not a tool to be used in teaching the reader the proper use of the cognitive faculties, or indeed in convincing the reader of the existence or inexistence of certain cognitive faculties or powers. Instead of early modern "epistemology" or "theory of knowledge," one speaks, with seventeenth century writers, of theories of the cognitive faculties and their implications for the possibility of human knowledge. The early modern rejection of Aristotelian logic can then be seen as reflecting a negative assessment about the fit between syllogistic reasoning and logic as an art of reasoning or thinking which refines the use of the cognitive faculties. -/- Central to this new historiography is the story of the relation between the intellect and senses as cognitive faculties or powers. The development of philosophy from Descartes to Kant can be portrayed as a series of claims about the power of the intellect to know the essences of things, with resulting consequences for ontology and the foundations of natural philosophy. I illustrate this revised narrative by comparing three conceptions of the intellect in three philosophical settings, provided by several late scholastic Aristotelians, Descartes, and Locke. I have two aims: first, to exhibit the central role played by the conception of intellect or understanding in these authors, and, second, to locate their discussions of the cognitive faculties in relation to recent understandings of psychology, epistemology, logic, mind, and their relations. Early modern writings do not easily fit into the modern categories of epistemology and psychology; more generally, the early modern concern with the workings of mind does not coincide with recent conceptions of naturalism. These findings can help us to see problems with our current categories. (shrink)

proposition. Universal proposition is defined as the proposition in which the relation between the subject term and the predicate term is without any condition, in which the predicate is either affirmed or denied of the subject unconditionally. In nyaya logic the term vyapti is a universal proposition or invariable relation between the middle term (linga/hetu) and the major term (sadya) . According to the category of relation propositions are divided into categorical and the conditional. Although proposition (...) is a logical entity which is an assertion, either affirm or deny the subject. Truth and falsity are the values of proposition. Universal proposition is of two kinds: universal affirmative proposition and universal negative proposition while universality is the quantity of the subject and affirmation or negation is the quality of the proposition. Anumana (inference) is the knowledge of the objects which follows some other knowledge. In nyaya logic Inference is a combined deductive-inductive reasoning consisting of at least three categorical propositions and in it there are at least three propositions consisting of three terms, viz. the paksa or minor term about which we infer something, the sadhya or major term which inferred object, and the linga(probans) or sadana or middle which is invariably related to the major, and is present in the minor. Indian inference resembles to the categorical syllogism of western logic. In nyaya logic inference consisting of three propositions the first proposition is the conclusion of the syllogism , the second is the minor premise and last the major premise which is totally opposite of western logic. Syllogism of nyaya logic contains five propositions, called its Avayavas or members. These are pratijna, hetu, udarana, upanaya, and nigamana. Middle term have five characteristics in order to make five Figures of syllogism as Figure is the form of the syllogism. These five characteristics, or at least four of them , must be found in the middle term of a valid inference. If not, there will be fallacies(error in reasoning). Nyayikas give us three classifications of inference. According to first inference is of two kinds, namely, svartha and parartha. According to another inference is of three kinds, purvavat, sesavat and samanyatodrsta. According to third classification inference is distinguished into kevalanvayi, kevala-vyatireki and anvaya-vyatireki. (shrink)

The primary goal of this essay is to provide a comprehensive overview and analysis of the various relations between material artifacts and the embodied mind. A secondary goal of this essay is to identify some of the trends in the design and use of artifacts. First, based on their functional properties, I identify four categories of artifacts co-opted by the embodied mind, namely (1) embodied artifacts, (2) perceptual artifacts, (3) cognitive artifacts, and (4) affective artifacts. These categories can overlap and (...) so some artifacts are members of more than one category. I also identify some of the techniques (or skills) we use when interacting with artifacts. Identifying these categories of artifacts and techniques allows us to map the landscape of relations between embodied minds and the artifactual world. Second, having identified categories of artifacts and techniques, this essay then outlines some of the trends in the design and use of artifacts, focussing on neuroprosthetics, brain-computer interfaces, and personalisation algorithms nudging their users towards particular epistemic paths of information consumption. (shrink)

Thomas Polger and Laurence Shapiro argue that Carl Gillett's much publicized dimensioned theory of realization is incoherent, being subject to a reductio. Their argument turns on the fact that Gillett's definition of realization makes property instances the exclusive relata of the realization relation, while his belief in multiple realization implies its denial, namely, that properties are the relata of the realization relation on occasions of multiple realization. Others like Sydney Shoemaker have also expressed their view of realization in (...) terms of property instances, yet they too have accepted the multiple realizability of properties. Thus I am interested in the more general issue raised by Polger and Shapiro's argument. Specifically, I show how to supplement a theory of realization with a category-inclusive auxiliary assumption, which avoids the stated reductio. I then offer a few reasons to justify the proposed category-inclusive view of realization, making some comparisons to supervenience and causation along the way. (shrink)

This book concerns the foundations of epistemic modality and hyperintensionality and their applications to the philosophy of mathematics. David Elohim examines the nature of epistemic modality, when the modal operator is interpreted as concerning both apriority and conceivability, as well as states of knowledge and belief. The book demonstrates how epistemic modality and hyperintensionality relate to the computational theory of mind; metaphysical modality and hyperintensionality; the types of mathematical modality and hyperintensionality; to the epistemic status of large cardinal axioms, undecidable (...) propositions, and abstraction principles in the philosophy of mathematics; to the modal and hyperintensional profiles of the logic of rational intuition; and to the types of intention, when the latter is interpreted as a hyperintensional mental state. Chapter \textbf{2} argues for a novel type of expressivism based on the duality between the categories of coalgebras and algebras, and argues that the duality permits of the reconciliation between modal and hyperintensional cognitivism and modal and hyperintensional expressivism. Elohim develops a novel, topic-sensitive truthmaker semantics for dynamic epistemic logic, and develop a novel, dynamic two-dimensional semantics grounded in two-dimensional hyperintensional Turing machines. Chapter \textbf{3} provides an abstraction principle for epistemic (hyper-)intensions. Chapter \textbf{4} advances a topic-sensitive two-dimensional truthmaker semantics, and provides three novel interpretations of the framework along with the epistemic and metasemantic. Chapter \textbf{5} applies the fixed points of the modal $\mu$-calculus in order to account for the iteration of epistemic states in a single agent, by contrast to availing of modal axiom 4 (i.e. the KK principle). The fixed point operators in the modal $\mu$-calculus are rendered hyperintensional, which yields the first hyperintensional construal of the modal $\mu$-calculus in the literature and the first application of the calculus to the iteration of epistemic states in a single agent instead of the common knowledge of a group of agents. Chapter \textbf{6} advances a solution to the Julius Caesar problem based on Fine's `criterial' identity conditions which incorporate conditions on essentiality and grounding. Chapter \textbf{7} provides a ground-theoretic regimentation of the proposals in the metaphysics of consciousness and examines its bearing on the two-dimensional conceivability argument against physicalism. The topic-sensitive epistemic two-dimensional truthmaker semantics developed in chapters \textbf{2} and \textbf{4} are availed of in order for epistemic states to be a guide to metaphysical states in the hyperintensional setting. -/- Chapters \textbf{8-12} provide cases demonstrating how the two-dimensional hyperintensions of hyperintensional, i.e. topic-sensitive epistemic two-dimensional truthmaker, semantics, solve the access problem in the epistemology of mathematics. Chapter \textbf{8} examines the interaction between Elohim's hyperintensional semantics and the axioms of epistemic set theory, large cardinal axioms, the Epistemic Church-Turing Thesis, the modal axioms governing the modal profile of $\Omega$-logic, Orey sentences such as the Generalized Continuum Hypothesis, and absolute decidability. These results yield inter alia the first hyperintensional Epistemic Church-Turing Thesis and hyperintensional epistemic set theories in the literature. Chapter \textbf{9} examines the modal and hyperintensional commitments of abstractionism, in particular necessitism, and epistemic hyperintensionality, epistemic utility theory, and the epistemology of abstraction. Elohim countenances a hyperintensional semantics for novel epistemic abstractionist modalities. Elohim suggests, too, that higher observational type theory can be applied to first-order abstraction principles in order to make first-order abstraction principles recursively enumerable, i.e. Turing machine computable, and that the truth of the first-order abstraction principle for two-dimensional hyperintensions is grounded in its being possibly recursively enumerable and the machine being physically implementable. Chapter \textbf{10} examines the philosophical significance of hyperintensional $\Omega$-logic in set theory and discusses the hyperintensionality of metamathematics. Chapter \textbf{11} provides a modal logic for rational intuition and provides a hyperintensional semantics. Chapter \textbf{12} avails of modal coalgebras to interpret the defining properties of indefinite extensibility, and avails of hyperintensional epistemic two-dimensional semantics in order to account for the interaction between interpretational and objective modalities and the truthmakers thereof. This yields the first hyperintensional category theory in the literature. Elohim invents a new mathematical trick in which first-order structures are treated as categories, and Vopenka's principle can be satisfied because of the elementary embeddings between the categories and generate Vopenka cardinals in the category of Set in category theory. Chapter \textbf{13} examines modal responses to the alethic paradoxes. Elohim provides a counter-example to epistemic closure for logical deduction. Chapter \textbf{14} examines, finally, the modal and hyperintensional semantics for the different types of intention and the relation of the latter to evidential decision theory. (shrink)

In his recent book, The Universe As We Find It, John Heil offers an updated account of his two-category ontology. One of his major goals is to avoid including relations in his basic ontology. While there can still be true claims positing relations, such as those of the form “x is taller than y” and “x causes y,” they will be true in virtue of substances and their monadic, non-relational properties. That is, Heil’s two-category ontology is deployed to (...) provide non-relational truthmakers for relational truths. This paper challenges the success of Heil’s project with respect to causation. The arguments here are not entirely negative, however. An option is made available to Heil’s ontology so that it might, at least to some extent, regain non-relational causings. (shrink)