The purpose of this paper is to show that the dual notions of elements & distinctions are the basic analytical concepts needed to unpack and analyze morphisms, duality, and universal constructions in the Sets, the category of sets and functions. The analysis extends directly to other concrete categories (groups, rings, vector spaces, etc.) where the objects are sets with a certain type of structure and the morphisms are functions that preserve that structure. Then the elements & distinctions-based (...) definitions can be abstracted in purely arrow-theoretic way for abstract category theory. In short, the language of elements & distinctions is the conceptual language in which the category of sets is written, and abstract category theory gives the abstract arrows version of those definitions. (shrink)

Linnebo and Pettigrew present some objections to category theory as an autonomous foundation. They do a commendable job making clear several distinct senses of ‘autonomous’ as it occurs in the phrase ‘autonomous foundation’. Unfortunately, their paper seems to treat the ‘categorist’ perspective rather unfairly. Several infelicities of this sort were addressed by McLarty. In this note I address yet another apparent infelicity.

The aim of this paper is to clarify the role of category theory in the foundations of mathematics. There is a good deal of confusion surrounding this issue. A standard philosophical strategy in the face of a situation of this kind is to draw various distinctions and in this way show that the confusion rests on divergent conceptions of what the foundations of mathematics ought to be. This is the strategy adopted in the present paper. It is divided (...) into 5 sections. We first show that already in the set theoretical framework, there are different dimensions to the expression foundations of. We then explore these dimensions more thoroughly. After a very short discussion of the links between these dimensions, we move to some of the arguments presented for and against category theory in the foundational landscape. We end up on a more speculative note by examining the relationships between category theory and set theory. (shrink)

Anyone who tries to understand categories soon runs into the problem of giving an account of the unity of a category. Call this the “unity problem.” In this essay, I describe a distinctive and under-studied version of the unity problem and discuss how it might be solved. First, I describe various versions of the unity problem. Second, I focus on one version and argue that it is best dealt with by thinking of at least some categories as “norm-constituted,” in (...) a sense that I try to make clear. Third, I discuss some objections to my proposal. Fourth, I compare norm -constituted categories to categories that are normative in a different sense. Fifth, I briefly discuss the possibility of grounding the normativity of norm-constituted categories. Finally, I raise a few questions for further research. (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)

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)

In this paper, I present a categorial theory of meaning which asserts that the meaning of a sentence is the function from the actualization of some potentiality or the potentiality of some actuality to the truth of the sentence. I argue that it builds on the virtues of David Lewis’s Possible World Semantics but advances beyond problems that Lewis’s theory faces with its distinctly Aristotelian turn toward actuality and potentiality.

After a short sketch of Lowe’s account of his four basic categories, I discuss his theory of formal ontological relations and how Lowe wants to account for dispositional predications. I argue that on the ontic level Lowe is a pan-categoricalist, while he is a language dualist and an exemplification dualist with regard to the dispositional/categorical distinction. I argue that Lowe does not present an adequate account of disposition. From an Aristotelian point of view, Lowe conflates dispositional predication with hôs epi (...) to poly statements about what is normally or mostly the case. (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)

The importance of the pure concepts of the understanding (i.e. the categories) within Kant’s system of philosophy is undeniable. As I hope to make clear in this essay, however, the categories are also an essential part of Kant’s critique of Christian Wolff. In particular, I argue that Kant’s development of the categories represents a decisive break with the Wolffian conception of the understanding and that this break is central to understanding the task of the Transcendental Analytic. This break, however, is (...) not merely that Kant affirms while Wolff and his followers deny a sharp distinction between sensibility and the understanding, which is the aspect of Kant’s rejection of Wolff that scholars most frequently note. Rather, this break concerns differences in their views about the understanding itself. For while Wolff conceives of the understanding as a mental capacity to extract and make distinct content already present in the senses, Kant conceives of the understanding in its “real use” as a capacity to produce purely intellectual content. (shrink)

Sophist 255c14 distinguishes καθ’ αὑτά and πρὸς ἄλλα (in relation to others). Many commentators identify this with the ‘absolute’ and ‘relative’ category distinction. However, terms such as ‘same’ cannot fit into either category. Several reliable manuscripts read πρὸς ἄλληλα (in relation to each other) for πρὸς ἄλλα. I show that πρὸς ἄλληλα is a palaeographically plausible reading which accommodates the problematic terms. I then defend my reading against objections.

John Hick’s theory concerning plurality of religions is an ontologic pluralism according to which all religions are authentic ways for man to attain the "real an sich". Gods of religions are real as perceived and veridical hallucinations; while the “real an sich” has ineffable substantial and trans-categorical properties. Hick’s view suffers from several problems. As a second order analysis of religions, Hick’s view is not a correct one. To reject naturalism, it falls into an epistemological circle, where distinction between formal (...) and substantial properties fades away. It seems that Hick is captured by a category mistake in the presentation of his own theory concerning authenticity of all religions to attain the "real an sich". (shrink)

For Kant, the human cognitive faculty has two sub-faculties: sensibility and the understanding. Each has pure forms which are necessary to us as humans: space and time for sensibility; the categories for the understanding. But Kant is careful to leave open the possibility of there being creatures like us, with both sensibility and understanding, who nevertheless have different pure forms of sensibility. They would be finite rational beings and discursive cognizers. But they would not be human. And this raises a (...) question about the pure forms of the understanding. Does Kant leave open the possibility of discursive cognizers who have different categories? Even if other discursive cognizers might not sense like us, must they at least think like us? We argue that textual and systematic considerations do not determine the answers to these questions and examine whether Kant thinks that the issue cannot be decided. Consideration of his wider views on the nature and limits of our knowledge of mind shows that Kant could indeed remain neutral on the issue but that the exact form his neutrality can take is subject to unexpected constraints. The result would be an important difference between what Kant says about discursive cognizers with other forms of sensibility and what he is in a position to say about discursive cognizers with other forms of understanding. Kantian humility here takes on a distinctive character. (shrink)

In this article, I reply to a critical notice of my book, Meaning in Life: An Analytic Study, that Stephen Kershnar has published elsewhere in this issue of Science, Religion & Culture. Beyond expounding the central conclusions of the book, Kershnar advances two major criticisms of it, namely, first, that I did not provide enough evidence that meaning in life is a genuine value-theoretic category as something distinct from and competing with, say, objective well-being, and, second, that, even if (...) there were a value of meaning in life, my fundamentality theory of it would not capture it well. Here I respond to both of these criticisms, aiming to probe these underexplored issues still more deeply. I also contend that these two criticisms are in tension with each other; in order to contend that my theory of meaning is incorrect, Kershnar must draw on intuitions about the existence of meaning that undercut his suggestion that there is no such thing. (shrink)

Easy Ontologists, most notably Thomasson (2015), argue that ontological questions are shallow. They think that these questions can either be answered by using our ordinary conceptual competence—of course tables exist!—or are meaningless, or else should be answered through conceptual re-engineering. Ontology thus is “easy”, requiring no distinctively metaphysical investigation. This paper raises a two-stage objection to Easy Ontology. We first argue that questions concerning which entities exist are inextricably bound up with “ontological category questions”, which are questions concerning the (...) identity of and differences between kinds of entities. We then argue that ontological category questions do not have trivial answers, are meaningful, and cannot be answered through conceptual re-engineering. Easy Ontology hence does not constitute a comprehensive ontological methodology. While some of ontology might be easy, category questions form a central part of ontology and are not answered easily. (shrink)

This paper addresses the question of how human science categories yield projectable inferences by critically examining Ron Mallon’s ‘social role’ account of human kinds. Mallon contends that human categories are projectable when a social role produces a homeostatic property cluster (HPC) kind. On this account, human categories are projectable when various social mechanisms stabilize and entrench those categories. Mallon’s analysis obscures a distinction between transitory and robust projectable inferences. I argue that the social kinds discussed by Mallon yield the former, (...) while classifications of biological kinds yield the latter. Classifications from psychiatry (‘schizophrenia,’ ‘hysteria’) are discussed as examples. (shrink)

Much attention has been given to the question of ontic vagueness, and the issues usually center around whether certain paradigmatically concrete entities – cats, clouds, mountains, etc. – are vague in the sense of having indeterminate spatial boundaries. In this paper, however, I wish to focus on a way in which some abstracta seem to be locationally vague. To begin, I will briefly cover some territory already covered regarding certain types of “traditional” abstracta and the ways they are currently alleged (...) to be vague. I then wish to discuss two types of “nontraditional” abstracta and the sense in which I think some of these objects are locationally vague. I will next reexamine some of the traditional abstracta and discuss whether any of these objects are locationally vague in the novel way suggested for the nontraditional sorts. I’ll finish by discussing objections, and conclude with some remarks about characterizing the abstract/concrete distinction. (shrink)

ABSTRACT: I argue that Sellars’s metaconceptual theory of the categories exemplifies and extends a long line of nominalistic thinking about the nature of the categories from Ockham and Kant to the Tractatus and Carnap, and that this theory is far more central than has generally been realized to each of Sellars’s most famous and enduring philosophical conceptions: the myth of the given, the logical space of reasons, and resolving the ostensible clash between the manifest and scientific images of the human (...) being in the world. Sellars’s distinctive contribution to this longstanding (if currently on the defensive) metaconceptual approach to the nature of ontological categories was to interpret and reconstruct it in terms of his own ‘meaning as use’ or norm-governed inferential role semantics. With these resources Sellars sought to preserve the genuine insights in the ‘realist’ or broadly platonic traditions while simultaneously defending the idea that in the end, as he puts it, “a naturalistic ontology must be a nominalistic ontology” (1980a NAO IV §129). (shrink)

Aristotle, in Chapter 7 of his Categories, classifies habits and dispositions, as well as knowledge, among relatives. However, in Chapter 8 of the Categories, he affirms that habits, including knowledge, and dispositions, including unstable knowledge, are qualities. Thus, habits and dispositions in general, and knowledge in particular, seem to be subject to a ‘dual categorization’. At the end of Chapter 8 of the treatise, the issue of the dual categorization is explicitly raised. How can one and the same thing be (...) a quality and a relative? Aristotle gives two distinct solutions to this problem. Both have been criticized by some modern commentators : these solutions would amount to a rejection of the basic principles of the categorial system and, as such, to a sort of philosophical suicide. However, Aristotle’s early commentators, notably the Greek Neoplatonists and Boethius, made attempts to render both solutions plausible and compatible with the rest of the doctrine. Their attempts are not only of exegetical interest, they also contain some significant philosophical analyses concerning the categories. In what follows, I will present the abovementioned problem of dual categorization in Aristotle and the two solutions offered to it in Categories, 8, 11a20-38. I will then turn to the early reception of this text, and focus on the way the Greek Neoplatonists and Boethius tried to make Aristotle’s solutions more plausible. Throughout, I will try to establish in what sense habits and dispositions in general, and knowledge in particular, are relative. I will conclude with some remarks on the later reception of Categories, 8, 11a20-38 and on the problem of the ontological status of mental acts and states. (shrink)

I argue there are two ways predication relations can hold according to the Categories: they can hold directly or they can hold mediately. The distinction between direct and mediated predication is a distinction between whether or not a given prediction fact holds in virtue of another predication fact’s holding. We can tell Aristotle endorses this distinction from multiple places in the text where he licenses an inference from one predication fact’s holding to another predication fact’s holding. The best explanation for (...) each such inference is that he takes some predication facts to be mediated by others. Once the distinction between direct and mediated predication has been explained and argued for, I show how it can help solve a persistent problem for the traditional view of non-substantial particulars in the Categories—that is, the view that non-substantial particulars are particular in the sense of being non-recurrent. Along with vindicating the traditional view, the direct/mediated predication distinction gives us a distinctive way of understanding what it is for something to be recurrent (or non-recurrent) as well as a better understanding of Aristotle’s broader commitments in the Categories as a whole. (shrink)

Essentialism is often criticized for producing biased behavior. Because it is a view through which people attempt to grasp the essence of things, it appears contradictory that essentialism might result in distortions of reality. Somewhere within essentialist cognitive processes there must be mistakes or omissions that fail to capture reality correctly. In this paper, I treat essentialization as an abductive reasoning process, as a hypothesis, that explains particular characteristics of people on the basis of category membership alone. Besides essentialization, (...) essentialist reasoning can also include deductive and inductive processes that aim at elaborating and testing initial hypotheses. Therefore, essentialist beliefs can be built by essentialization and hypotheses alone or they can be the product of more elaborate reasoning. The relationship of essentialization and general essentialist reasoning to truth and knowledge is discussed. (shrink)

This article focuses on the distinction between psychosocial types and conceptual personae advanced by Gilles Deleuze and Félix Guattari in What is Philosophy? The conceptual persona is the tool that a philosopher invents in order to create new concepts with which to bring forth new events. Although they present it as one of the three elements of philosophy, its nature and function and, above all, its conjunctions with psychosocial types have been overlooked by scholars. What is Philosophy? contains a list (...) of character traits of which each conceptual persona is composed. The central argument of this article is that this list can well be regarded as a table of categories that enable the exercise and experience of philosophy’s creative thinking. Since the character traits of a conceptual persona match the characteristics of the given psychosocial types, it is necessary to keep inventing new conceptual personae always starting from the historical presuppositions. The philosopher requires the conceptual persona to transfer his or her movements of thought to philosophy’s plane of immanence and thereby transform them in such a manner that philosophy can unfold as a creative power. It emerges as the subject of creative thinking at the same time as the concepts that subject creates, with which it coincides in the moment of creation. With the conceptual persona in What is Philosophy?, Deleuze and Guattari determine the one element of philosophy that makes the transcendental empiricism a method of creation that appears as a precise operation with all its convincing and transparent results. (shrink)

The current metaphysical race debate is very much focused on the realism question whether races exist. In this paper I argue against the importance of this question. Philosophers, biologists and anthropologists expect that answering this question will tell them something substantive about the metaphysics of racial classifications, and will help them to decide whether it is justified to use racial categories in scientific research and public policy. I argue that there are two reasons why these expectations are not fulfilled. First (...) of all, the realism question about race leads to a very broad philosophical debate about the semantics of general terms and the criteria for real kinds, rather than to a debate about the metaphysics of racial categories specifically. Secondly, there is a type of race realism that is so toothless that it is almost completely uninformative about the metaphysics of race. In response to these worries, I argue that the metaphysical race debate should rather be focused on the question in what way and to what extent ‘racial’ distinctions can ground the epistemic practices of various scientific disciplines. I spell out what I mean by this and go on to demonstrate that trying to answer this question leads to a more fruitful metaphysical debate. (shrink)

Genes are thought to have evolved from long-lived and multiply-interactive molecules in the early stages of the origins of life. However, at that stage there were no replicators, and the distinction between interactors and replicators did not yet apply. Nevertheless, the process of evolution that proceeded from initial autocatalytic hypercycles to full organisms was a Darwinian process of selection of favourable variants. We distinguish therefore between Neo-Darwinian evolution and the related Weismannian and Central Dogma divisions, on the one hand, and (...) the more generic category of Darwinian evolution on the other. We argue that Hull’s and Dawkins’ replicator/interactor distinction of entities is a sufficient, but not necessary, condition for Darwinian evolution to take place. We conceive the origin of genes as a separation between different types of molecules in a thermodynamic state space, and employ a notion of reproducers. (shrink)

A careful, theoretical clarification of gender roles has only recently begun in social and political philosophy. It is the aim of the following piece to reveal that an analysis of women’s traditional position - her distinctive activities, labor and surrounding sense of ‘mine’ - can not only make valuable contributions towards clarifying traditional property disputes, but may even provide elements for a new conception of ownership. By way of illustration, the article focusses on the influential work of John Rawls and (...) argues that - when Rawls’s own analysis and principles of justice are supplemented by an account of what is here called ‘reproductive labor’ - his theory in fact tends to a form of democratic socialism. Stated somewhat differently, my aim is to shift the terms of the property debate as posed by Rawls fromwithinhis own position. I hope to show that the real ownership question which now emerges is no longerwhether‘justice as fairness’ countenances a private property or socialist form of democracy, but what preciseformsuch a socialism should take. (shrink)

Current debate and policy surrounding the use of genetic editing in humans often relies on a binary distinction between therapy and human enhancement. In this paper, we argue that this dichotomy fails to take into account perhaps the most significant potential uses of CRISPR-Cas9 gene editing in humans. We argue that genetic treatment of sporadic Alzheimer’s disease, breast- and ovarian-cancer causing BRCA1/2 mutations and the introduction of HIV resistance in humans should be considered within a new category of genetic (...) protection treatments. We find that if this category is not introduced, life-altering research might be unnecessarily limited by current or future policy. Otherwise ad hoc decisions might be made, which introduce a risk of unforeseen moral costs, and might overlook or fail to address some important opportunities. (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)

Social robotics designed to enhance anthropomorphism and zoomorphism seeks to evoke feelings of empathy and other positive emotions in humans. While it is difficult to treat these machines as mere artefacts, the simulated lifelike qualities of robots easily lead to misunderstandings that the machines could be intentional. In this post-anthropocentrically positioned article, we look for a solution to the dilemma by developing a novel concept, “abiozoomorphism.” Drawing on Donna Haraway’s conceptualization of companion species, we address critical aspects of why robots (...) should not be categorized with animals by showing that the distinction between nonliving beings and living beings is still valid. In our phenomenologically informed approach to social robotics, we propose that the concept of abiozoomorphism makes it possible to transcend the strong ethos of biotism that prevails in both robot design and academic research on social robots. (shrink)

How, if at all, are we to distinguish between the works that we call ‘art’ and those that we call ‘pornography’? This question gets a grip because from classical Greek vases and the frescoes of Pompeii to Renaissance mythological painting and sculpture to Modernist prints, the European artistic tradition is chock-full of art that looks a lot like pornography. In this paper I propose a way of thinking about the distinction that is grounded in art historical considerations regarding the function (...) of erotic images in 16 th -century Italy. This exploration suggests that the root of the erotic art/pornography distinction was—at least in this context—class: in particular, the need for a special category of unsanctioned illicit images arose at the very time when print culture was beginning to threaten elite privilege. What made an erotic representation exceed the boundaries of acceptability, I suggest, was not its extreme libidinosity but, rather, its widespread availability and, thereby, its threat to one of the mechanisms of sustaining class privilege. (shrink)

G.W.F. Hegel argues that a philosophy of history should engender comprehension of evil in the world. And yet some commentators have charged his philosophy with transcending mere explication by justifying the existence of these evils. In defense of his words, Hegel famously characterizes evil as a modal mismatch; namely, as the incompatibility between what is given and what ought to be the case. Unfortunately, some readers of Hegel’s grand narrative either continue to struggle with or overlook this fine distinction. Against (...) such readings, I organize my paper into three sections that speak directly to these concerns. In §1, against the concern that Hegel’s view of the “actual world” justifies suffering, it is shown that his philosophy does not endorse the merely extant world, which is a whole world apart from the actual world. In §2, I articulate the premises of Hegel’s Doppelsatz to argue that the famous slogan is not, as some commentators take it, an endorsement of “things as they are.” And in §3, I expose a category error that mistakes an epistemological claim made by Hegel about contingency as a metaphysical assertion in support of evil. Ultimately, I argue that Hegel views evil as neither actual nor necessary nor justified. (shrink)

Reconstructs the original Greek version of the confatalia-argument that Cicero attributes to Chrysippus in De fato and misrepresent in crucial ways. Compares this argument with Seneca's discussion of determinism in the Naturales quaestiones. Clarifies that Seneca makes a different distinction from that attested in Cicero's De fato. Argues that problems with interpreting both accounts derive from disregarding terminological distinctions harder to spot in the Latin versions and, related to this, insufficient attention to the ontological distinction between bodies (such as (...) Fate) and predicates (e.g. "what is fated"), which unfortunately does not square well with the modern ontological category "event." Contains some corrections to the author's earlier discussion of the topic in Seneca und die Stoa: Der Platz des Menschen in der Welt, De Gruyter 2006, ch. 3.3.4. (shrink)

Two hundred and sixty-three subjects each gave examples for one of five geographic categories: geographic features, geographic objects, geographic concepts, something geographic, and something that could be portrayed on a map. The frequencies of various responses were significantly different, indicating that the basic ontological terms feature, object, etc., are not interchangeable but carry different meanings when combined with adjectives indicating geographic or mappable. For all of the test phrases involving geographic, responses were predominantly natural features such as mountain, river, lake, (...) ocean, hill. Artificial geographic features such as town and city were listed hardly at all for geographic categories, an outcome that contrasts sharply with the disciplinary self-understanding of academic geography. However, geographic artifacts and fiat objects, such as roads, cities, boundaries, countries, and states, were frequently listed by the subjects responding to the phrase something that could be portrayed on a map. In this paper, we present the results of these experiments in visual form, and provide interpretations and implications for further research. (shrink)

I argue that Frege's so-called "concept 'horse' problem" is not one problem but many. When these different sub-problems are distinguished, some emerge as more tractable than others. I argue that, contrary to a widespread scholarly assumption originating with Peter Geach, there is scant evidence that Frege engaged with the general problem of the inexpressibility of logical category distinctions in writings available to Wittgenstein. In consequence, Geach is mistaken in his claim that in the Tractatus Wittgenstein simply accepts from (...) Frege certain lessons about the inexpressibility of logical category distinctions and the say-show distinction. In truth, Wittgenstein drew his own morals about these matters, quite possibly as the result of reflecting on how the general problem of the inexpressibility of logical category distinctions arises in Frege's writings , but also, quite possibly, by discerning certain glimmerings of these doctrines in the writings of Russell. (shrink)

This paper argues for the philosophical and semantic importance of attitudinal objects, entities such as judgments, claims, beliefs, demands, and desires, as an ontological category distinct from that of events and states and from that of propositions. The paper presents significant revisions and refinements of the notion of an attitudinal object as it was developed in my previous work.

The book is a collection of papers and aims to unify the questions of syntax and semantics of language, which are included in logic, philosophy and ontology of language. The leading motif of the presented selection of works is the differentiation between linguistic tokens (material, concrete objects) and linguistic types (ideal, abstract objects) following two philosophical trends: nominalism (concretism) and Platonizing version of realism. The opening article under the title “The Dual Ontological Nature of Language Signs and the Problem of (...) Their Mutual Relations” provides a broad introduction into the problem area connected with this differentiation, while the logic-formal characteristics of the distinction are framed in the work entitled “On the Type-Token Relationships” (Chapter 1). The basic part of the book deals with issues relating to syntax (Chapters 2-4) and semantics of language (Chapters 5-6), as well as pertaining to syntactic-semantic pragmatic questions (Chapters 7-13). Throughout the book, language, categorial language, is characterized syntactically as generated by classical categorial grammar (Chapter 2) and formalized on two opposing levels: as language of expression-tokens (level of tokens) and language of expression-types (level of types). The author’s considerations contained in Chapters 2 and 4 lead to the important philosophical conclusion that in formal-logical syntactic studies on language the assumption that expression-types constitute the primary language layer while expression-tokens make the secondary one, can be neglected; thus, this speaks in favour of the opposing standpoint—the concretistic one—in the ontology of language syntax. In the works “Meaning and Interpretations”, Parts I and II (Chapters 5 and 6), it is underlined, however, that such semantic concepts as: meaning, denotation and interpretation are defined on the types level, yet their formal definitions require making use of notions of the tokens level. The semantic notions introduced in the above-mentioned articles are also used in the following works of the present selection, under the titles: “Three Principles of Compositionality” and “On Metaknowledge and Truth” (Chapters 7 and 8). They formalize two principles of compositionality that are well known in the literature on the subject, deriving from Frege, i.e. those of meaning and of denotation; they are related to the syntactic principle of compositionality which was introduced by the author. All the three principles are, at the same time, three conditions of homomorphism of categorial language algebra into three kinds of non-standard models of language (one syntactic and two semantic ones: intensional and extensional), which allows introducing three definitions of truthfulness into these models. The next two works in the collection, entitled: “On Language Adequacy” and “What is the Sense in Logic and Philosophy of Language” (Chapters 9 and 10) concern adequacy of categorial language syntax along with its dual semantics: intensional and extensional, and categorial compatibility of any of its syntactic categories with two corresponding semantic categories: intensional and extensional, based on the compatibility the syntactic category of each language expression with the ontological category assigned to its denotatum. The well-known problem of categorial compatibility for first-order quantifiers finds its solution in the paper “Categories of First-Order Quantifiers” (Chapter 11). In the work “Logic and Ontology of Language” (Chapter 12), being in a sense a summary of the considerations presented in the preceding chapters of the book, language is treated as an ontological being, characterized in compliance with the logical conception of language proposed by Ajdukiewicz. Application—like throughout the book—of tools of classical logic and set theory has resulted in emergence of a general formal logical theory of syntax, semantics and pragmatics of language, which takes into account duality in the understanding of linguistic expressions as tokens (concretes) and types (abstract objects). In terms that take into account a functional approach to language itself, there comes out an ontological neutrality of logic with respect to existential assumptions relating to the ontological nature of linguistic expressions and their extra-linguistic ontological counterparts. The issues connected with applying logic while explaining the manner of using linguistic tokens and linguistic types to determine notions of language communication are raised and illustrated in the last chapter of the work, bearing the title “A Logical Conceptualization of Knowledge on the Notion of Language Communication”. (shrink)

The aim of the Analytic of Concepts is to derive and deduce a set of pure concepts of the understanding, the categories, which play a central role in Kant’s explanation of the possibility of synthetic a priori cognition and judgment. This chapter is structured around two questions. First, what is a pure concept of the understanding? Second, what is involved in a deduction of a pure concept of the understanding? In answering the first, we focus on how the categories differ (...) from the pure forms of sensibility and examine whether they are known only to be the pure forms of human thinking or rather the forms of discursive cognition as such. In answering the second, we draw a distinction between the application and the exemplification of the categories and use it to identify different ways of understanding Kant’s project in the Transcendental Deduction of the Categories. These questions connect because the answer to the first determines how we should understand the kind of entitlement which is to be established in the Deduction. (shrink)

In this paper, we aim to show that a study of Gilbert Ryle’s work has much to contribute to the current debate between intellectualism and anti-intellectualism with respect to skill and know-how. According to Ryle, knowing how and skill are distinctive from and do not reduce to knowing that. What is often overlooked is that for Ryle this point is connected to the idea that the distinction between skill and mere habit is a category distinction, or a distinction in (...) form. Criticizing the reading of Ryle presented by Jason Stanley, we argue that once the formal nature of Ryle’s investigation is recognized it becomes clear that his dispositional account is not an instance of reductionist behaviorism, and that his regress argument has a broader target than Stanley appears to recognize. (shrink)

The paper concentrates on the problem of adequate reflection of fragments of reality via expressions of language and inter-subjective knowledge about these fragments, called here, in brief, language adequacy. This problem is formulated in several aspects, the most being: the compatibility of language syntax with its bi-level semantics: intensional and extensional. In this paper, various aspects of language adequacy find their logical explication on the ground of the formal-logical theory T of any categorial language L generated by the so-called classical (...) categorial grammar, and also on the ground of its extension to the bi-level, intensional and extensional semantic-pragmatic theory ST for L. In T, according to the token-type distinction of Ch.S. Peirce, L is characterized first as a language of well-formed expression-tokens (wfe-tokens) - material, concrete objects - and then as a language of wfe-types - abstract objects, classes of wfe-tokens. In ST the semantic-pragmatic notions of meaning and interpretation for wfe-types of L of intensional semantics and the notion of denotation of extensional semanics for wfe-types and constituents of knowledge are formalized. These notions allow formulating a postulate (an axiom of categorial adequacy) from which follow all the most important conditions of the language adequacy, including the above, and a structural one connected with three principles of compositionality. (shrink)

First, given criteria for identifying universals and particulars, it is shown that stuffs appear to qualify as neither. Second, the standard solutions to the logico-linguistic problem of mass terms are examined and evidence is presented in favor of the view that mass terms are straightforward singular terms and, relatedly, that stuffs indeed belong to a metaphysical category distinct from the categories of universal and particular. Finally, a new theory of the copula is offered: 'The cue is cold', 'The cube (...) is ice', and 'Ice is water' all have the form 'A is B'. On the basis of the logical behavior of stuff-names with respect to this univocal copula, definitions are suggested for 'X is a stuff', 'X composes Y', 'X is a material object', and even 'Matter'. Hence an expanded form of logicism. (shrink)

The Habermas–Foucault debate, despite the excellent commentary it has generated, has the standing of an ‘unfinished project’ precisely because it occasions the interrogation of the fundamental categories of modernity, and because the lingering sense of anxiety, which continues to remain after arguments and counter-arguments, demands new interpretations. Here, I advance the claim that what gives Habermas’s criticisms of Foucault’s histories and theoretical formulations their bite is the categorial distinction he maintains between facts and rights, and by extension, between causes and (...) reasons. The Kantian distinction between de jure validity and de facto effectivity underwrites the categorial distinction between both ‘norms/facts’ and ‘reasons/causes’ conceptual pairs, which distinction, in turn, is reinforced by a picture of the natural world as matter in motion and human agency as self-determination. I want to claim that Foucault’s work enacts a critique of Habermas not by evading the problem of justification but by undermining the very distinctions Habermas needs to maintain the universal and necessary status of communicative rationality. Drawing on Jonathan Lear’s discussion of reasons and causes in relation to the unconscious, I claim that psychoanalytic discourse helps us make intelligible a type of reflection—such as one finds in Foucault’s historiography—that is at once “critical and empirical.” Moreover, the realization that the distinction between causes and reasons may not be categorial and exhaustive shows how Habermas’s insistence on the contrary leads to one particular kind of misrecognition of our practices. (shrink)

Part one of this two-part paper looked at the modern semantic developments underlying Gilson’s innovative and highly influential semantic theory in Being and Some Philosophers (BSP)—the existential neutrality of the copula, the distinction between predication and some positing or “thetic” function of judgment, and the distinction between predication and assertion. The present part of this paper offers a rereading of Gilson’s work in light of this modern backdrop. It argues that Gilson’s BSP, rather than being a purely historical exegesis of (...) the logical writings of a thirteenth-century friar, is a work of original philosophizing inspired by Aquinas, but principally engaged with modern debates. In particular, it advances a Brentano- inspired reading of Aquinas in place of Maritain’s Pfänder-inspired reading of him. Rereading Gilson in his historical setting clarifies the meaning and implication of many phrases and theses that have become commonplaces in philosophical discourse, in part because of Gilson’s work. (shrink)

The distinction between propositional and doxastic justification is normally applied to belief. The goal of this paper is to apply the distinction to faith and hope. Before doing so, I discuss the nature of faith and hope, and how they contrast with belief—belief has no essential conative component, whereas faith and hope essentially involve the conative. I discuss implications this has for evaluating faith and hope, and apply this to the propositional/doxastic distinction. There are two key upshots. One, bringing in (...) faith and hope makes salient additional normative categories, including the way the distinction between epistemic and practical justification interacts with the distinction between propositional and doxastic justification. Two, a paradigm example of propositional without doxastic justification is a belief that is evidentially supported but based on wishful thinking. Surprisingly, parallel cases of faith and hope may actually enjoy both propositional and doxastic justification. I conclude by exploring what it might look like for faith and hope to have propositional justification without doxastic justification. (shrink)

In this paper I offer an interpretation of Kant’s theory of perceptual error based on his remarks in the Anthropology. Both hallucination and illusion, I argue, are for Kant species of experience and therefore require the standard co-operation of sensibility and understanding. I develop my account in a conceptualist framework according to which the two canonical classes of non-veridical experience involve error in the basic sense that how they represent the world as being is not how the world is. In (...) hallucination this is due to the misapplication of categories and in illusion to the misapplication of empirical concepts. Yet there is also room in this framework for a distinction in terms of cognitive functionality between the level of experience, which is merely judgementally structured, and that of judgement proper, which involves the free action of a conscious agent. This distinction enables Kant to allow for the otherwise problematic phenomenon of self-aware non-veridicality. (shrink)

In this paper I present an interpretation of Immanuel Kant’s transcendental deduction of the categories (a dangerous interpretation it turns out), based primarily on the “two-step” argument of the B deduction of the Critique of Pure Reason. I undertake to show that Kant’s distinction between the “pure forms of intuition” and “pure formal intuition” is successful in its attempt to prove that all sensible intuitions presuppose the a priori categories, in a way which is compatible, I claim, with Kant’s statements (...) (in the Aesthetic and elsewhere) that sensible intuition is prior to all concepts; and therefore that the Transcendental Aesthetic presupposes the Transcendental Analytic. Thus my Interpretation is a "conceptualist" reading of the deduction, in holding that perception, as receptivity, presupposes an underlying spontaneity of the pure understanding and categories. The categories are held to be not just compatible with all possible sensible intuitions, but through their "transcendental content" constitutive of the relation of sensible intuitions to objects - and this explains how our thought can represent objects a priori. It is one of the claims of my interpretation that the logical forms of judgment of general logic derive from the pure categories of transcendental logic, rather than vice-versa. I.e. that the logical forms through which we make empirical judgments by combining analytical concepts in inner sense in time, are originally grounded in an atemporal categorial synthesis in pure intuition (i.e. in the form of time but not the dimension of time), referring an outer intuition in general to the transcendental object of intuition (as “something in general” outside sensibility or receptivity), thereby providing the synthetic unity of the manifold which “..all analysis presupposes.” My conceptualist reading of the deduction, I claim, avoids the problems associated with other conceptualist readings, for example inconsistency with the text (“Intuitions are prior to all concepts.” etc.) and blurring of the distinction between receptivity and spontaneity. In my paper I prove that the categories can correctly be held to provide the a priori unity of intuitions, notwithstanding the fact that the latter are “prior to all concepts,” because this unity is not provided by the categories as fully-fledged concepts in the empirical subject, but as the transcendental logical form of these concepts, as a unity in the pure understanding - and the categories therefore require their empirical content or application for their objective reality as concepts. I.e. the categories, as logical functions of judgment for transcendental apperception, in the pure forms of intuition, are prior to all "concepts", correctly speaking, as well as prior to all intuitions, and provide the necessary unity of both. Likewise, at the empirical level my version of conceptualism cannot be accused of blurring the distinction between receptivity and spontaneity, or sensibility and understanding, because although the transcendental content of the categories, as a logical function of judgment in the pure forms of intuition, in transcendental apperception, is in necessary relation to sensibility (in combining the manifold in the pure or formal representation of the transcendental object) their empirical content is not. - At the empirical level the divide between spontaneity (as judgment in the empirical subject) and receptivity (as the effect of transcendental synthesis and the transcendental object on outer and inner sense) remains intact. Conceptualist readings of the deduction also have to avoid infringing Kant’s requirement that the sensible manifold originally be given prior to and independently of all acts of the understanding, or otherwise to qualify the requirement in some way - e.g. by taking a Hegelian direction, such as that taken by John McDowell.1 On my reading of the deduction the sensible manifold given indeterminately in the pure forms of space and time must be given prior to the categorial synthesis of the manifold in the pure representation of the transcendental object, i.e. in the pure 'concept' of an object in general affecting sensibility. Therefore Kant’s requirement for an undetermined manifold given prior to, and independently of, all acts of the understanding (“..the manifold to be intuited must be given prior to the synthesis of understanding, and independently of it. How this takes place, remains here undetermined” [cf.B145/146]) is not infringed. In a later section of the paper, however, I will argue that the transcendental object (of intuition) does have pure theoretical reason as one of its two interacting immanent aspects, but is distinct from pure theoretical reason in the other of its (the transcendental object of intuition's) two interacting immanent aspects, i.e. pure will, which adds a Schopenhauerian element to my interpretation (which will be argued for in a way which supports Kantian optimism over Schopenhauerian pessimism however, in regard to the freedom of the will). Another perceived inconsistency in the deduction, which my interpretation can explain, is Kant’s description (in the B deduction) of the principle of the necessary synthetic unity of apperception as analytic, while in the A deduction it is described as synthetic. I explain this as a difference in the reference of terms such as “my representations” in the two versions - a transcendental reference in the B version but an empirical and transcendental reference in the A version of the principle. I also show that the first part of the two-step B deduction can correctly be characterised by Kant as analytic and the second, concluding part, synthetic (a point of dispute amongst Kant scholars) because transcendental logic (which refers to both the analytic and synthetic aspects of the principle of apperception) “does not abstract from the pure content of knowledge.” While being a “double aspect” rather than “two world” view of transcendental Idealism (because objects of intuition are comprised of both the empirical and transcendental object, i.e. transcendental referent, of intuition, my view differs significantly from the “double aspect” interpretation of Henry Allison (which distinguishes empirical reality from the “God’s eye” view). The view of transcendental idealism resulting from my reading of the deduction, I claim, allows a full empirical realism, because empirical intuitions, as objects of cognition, are the appearance of both the transcendental subject and the transcendental object (i.e. transcendental referent ) of transcendental synthesis (both as “something in general” outside sensibility or receptivity, or rather outside sensibility as receptivity). I conclude that Kant succeeds (although only with the addition of what I have called my 'Schopenhauerian element') in his attempt to prove that we have a transcendental unity of apperception which both constitutes, and is constituted by, the relation of sensible representations to objects, and that since transcendental apperception is the a priori underlying ground of empirical apperception, the categories (as the logical functions of judgment by which transcendental apperception relates sensible representations to objects) are the a priori underlying ground of all experience, and are therefore valid synthetically a priori for all objects of experience. 1 E.g. in “On Pippin’s Postscript.” European Journal of Philosophy 15:3 pp. 395-410. (shrink)

The current paper investigates two productive morphological processes, namely compounds and portmanteau words (or blends). While compounds, a productive, regular and predicable morphological process, have received much attention in the literature, little attention was paid to portmanteau words, a creative, irregular and unpredictable word formation process. The present paper aims to find the commonalities and differences between these morphological devices, using Rosch et al.’s (1975; 1976) theory of prototypes and basic-level categories to achieve this goal. This theory will also be (...) employed to discuss the literature on the word formation mechanisms under investigation and propose a new categorization approach to these neologisms. The analysis suggests that compounds and blends compare and contrast and that the distinctions between them are blurry. The analysis confirms that a prototypical approach is well suited to compounds and blends in English. This has implications for future research into English word-formation processes in general and compounds and blends precisely. (shrink)

Natural Categories and Human Kinds is a recent and timely contribution to current debate on natural kinds. Because of the growing sophistication of this debate, it is necessary to make careful distinctions in order to appreciate the originality of Khalidi’s position. Khalidi’s view on natural kinds is naturalistic: if we want to know what Nature’s joints really are, we should look at the actual carving job carried out by our best scientific practices. Like LaPorte, Khalidi is a fallibilist: our (...) best scientific theories may be revised or abandoned and so can our current classifications of natural kinds. Unlike LaPorte, however, Khalidi is an anti-essentialist: he argues against the idea that membership in a natural kind is a matter of possessing an essential set of necessary and sufficient properties. Like Dupré, Khalidi is a pluralist and anti-reductionist: he does not believe that there is only one true classification system and that there are natural kinds only at the so-called "fundamental level" of microphysics. Khalidi develops his pluralistic and anti-reductionistic position on the basis of a deep appreciation for the special sciences but, unlike Dupré, he thinks that only the scientific inquiry, which is driven by epistemic purposes, discover natural kinds and that, therefore, there are important differences between scientific and folk classifications. Khalidi’s conception of natural kinds has both an epistemic and a metaphysical component. (shrink)

‘Feminist logic’ may sound like an impossible, incoherent, or irrelevant project, but it is none of these. We begin by delineating three categories into which projects in feminist logic might fall: philosophical logic, philosophy of logic, and pedagogy. We then defuse two distinct objections to the very idea of feminist logic: the irrelevance argument and the independence argument. Having done so, we turn to a particular kind of project in feminist philosophy of logic: Valerie Plumwood's feminist argument for a relevance (...) logic. Plumwood's work serves as our primary case study as we turn to the project of considering three different ways we might understand her argument and revisionist arguments like it: as a priori theorizing, as ameliorative conceptual engineering, or as instances of anti-exceptionalist approaches to logic. After arguing that the anti-exceptionalist approach seems to provide the most promising means of understanding the kind of project undertaken in a feminist challenge to classical logic, we briefly address the consequences that this might have for logic instruction. Here, we argue for the perhaps unexpected conclusion that feminist programs ought to offer more, not less, instruction in logic for those who take interest. (shrink)

The concept of essence holds a pivotal role in unraveling Aristotle’s metaphysical framework. In his exploration of Metaphysics, Aristotle delves into the quest for fundamental being, positing that the primary substance is essentially synonymous with essence. This paper examines the criteria for essence, drawing from both the Categories and Metaphysics Z. Two distinct perspectives on essentialism, namely individual essentialism, aligned with the contemporary modal account of essence, and kind essentialism, are scrutinized. Through a critical analysis, this paper contends that both (...) these essentialist accounts fall short in adequately elucidating the Aristotelian concept of essence. Consequently, this pivotal notion, governed by Aristotelian criteria, remains a perplexing enigma, challenging contemporary attempts to fully grasp its intricacies. (shrink)

This paper offers an interpretation of Aristotle’s concepts of dynamis and energeia (commonly translated as potentiality and actuality), and of the thematic progression of Metaphysics IX. I first raise the question of where motion fits in Aristotle’s categories and argue that the locus of motion in the system of categories are the categories of doing and suffering, in which case dynamis and energeia in respect of motion can also be understood as the dynamis and energeia of doing and suffering. Next, (...) I argue that the analogy that Aristotle draws in IX.6 is an analogy between the dynamis and energeia of doing and suffering and the dynamis and energeia of substance. Finally, I try to show that it is this analogy between the kinetic and non-kinetic variants of dynamis and energeia—and not the distinction between end-inclusive and end-exclusive activities—that provides the key to understanding the structure of Metaphysics IX. (shrink)

The Stoics are famously committed to the thesis that only bodies are, and for this reason they are rightly called “corporealists.” They are also famously compared to Plato’s earthborn Giants in the Sophist, and rightly so given their steadfast commitment to body as being. But the Stoics also notoriously turn the tables on Plato and coopt his “dunamis proposal” that being is whatever can act or be acted upon to underwrite their commitment to body rather than shrink from it as (...) the Giants do. The substance of Stoic corporealism, however, has not been fully appreciated. This paper argues that Stoic corporealism goes beyond the dunamis proposal, which is simply an ontological criterion for being, to the metaphysics of body. This involves, first, an account of body as metaphysically simple and hence fundamental; second, an account of body as malleable and continuous, hence fit for blending (krasis di’ holou) and composition. In addition, the metaphysics of body involves a distinction between this composition relation seen in the cosmology, and the constitution relation by which the four-fold schema called the Stoic Categories proceeds, e.g. the relation between a statue and its clay, or a fist and its underlying hand. It has not been appreciated that the cosmology and the Categories are distinct — and complementary — explanatory enterprises, the one accounting for generation and unity, the other taking those individuals once generated, and giving a mereological analysis of their identity and persistence conditions, kinds, and qualities. The result is an elegant division of Plato’s labor from the Battle of Gods and Giants. On the one hand, the Stoics rehabilitate the crude cosmology of the Presocratics to deliver generation and unity in completely corporeal terms, and that work is found in their Physics. On the other hand, they reform the Giants and “dare to corporealize,” delivering all manner of predication (from identity to the virtues), and that work is found in Stoic Logic. Recognizing the distinctness of these explanatory enterprises helps dissolve scholarly puzzles, and harmonizes the Stoics with themselves. (shrink)