This book pursues the question of how and whether natural language allows for reference to abstract objects in a fully systematic way. By making full use of contemporary linguistic semantics, it presents a much greater range of linguistic generalizations than has previously been taken into consideration in philosophical discussions, and it argues for an ontological picture is very different from that generally taken for granted by philosophers and semanticists alike. Reference to abstract objects such as properties, (...) numbers, propositions, and degrees is considerably more marginal than generally held. (shrink)

This paper elaborates distinctions between a core and a periphery in the ontological and the conceptual domain associated with natural language. The ontological core-periphery distinction is essential for natural language ontology and is the basis for the central thesis of my 2013 book Abstract Objects and the Semantics of Natural Language, namely that natural language permits reference to abstract objects in its periphery, but not its core.

objects are standardly taken to be causally inert, but this claim is rarely explicitly argued for. In the context of his platonism about musical works, in order for musical works to be audible, Julian Dodd argues that abstracta are causally efficacious in virtue of their concrete tokens participating in events. I attempt to provide a principled argument for the causal inertness of abstracta by first rejecting Dodd’s arguments from events, and then extending and generalizing the causal exclusion argument to (...) the abstract/concrete distinction. For reasons of parsimony, if concrete tokens or instantiations of abstract objects account for all causal work, then there is no reason to attribute causal efficacy to abstracta, and thus reason to maintain their causal inertness. I then consider how one of the main arguments against causal exclusion, namely Stephen Yablo’s notion of “proportionality”, could be modified to support the causal efficacy of abstracta. I argue that from a few simple premises Yablo’s account in fact supports their causal inertness. Having a principled reason for the causal inertness of abstracta appears to entail that the musical platonist must admit that we never literally hear the musical work, but only its performances. I sketch a solution to this problem available to Dodd, so that the musical platonist can maintain that musical works are abstract objects and are causally inert while retaining their audibility. (shrink)

Beach's Gaelic Symphony is plausibly an abstract object that Beach created. The view that people create some abstract objects is called abstract creationism. There are abstract creationists about many kinds of objects, including musical works, fictional characters, arguments, words, internet memes, installation artworks, bitcoins, and restaurants. Alternative theories include materialism and Platonism. This paper discusses some of the most serious objections against abstract creationism. Arguably, these objections have ramifications for questions in metaphysics pertaining (...) to the abstract/concrete distinction, time, causation, vague existence, vague identity, and inadvertent creation. (shrink)

This is my main contribution to P. Gould (ed.) Beyond the Control of God?: Six Views on the Problem of God and Abstract Objects Bloomsbury. (The other contibutors to this work are: Keith Yandell; Paul Gould and Rich Davis; Greg Welty; William Lane Craig; and Scott Shalkowski.) I argue that, when it comes to a comparative assessment of the merits of theism and atheism, it makes no difference whether one opts for realism or fictionalism concerning abstract (...) class='Hi'>objects. (shrink)

Awareness is a two-place determinable relation some determinates of which are seeing, hearing, etc. Abstract objects are items such as universals and functions, which contrast with concrete objects such as solids and liquids. It is uncontroversial that we are sometimes aware of concrete objects. In this paper I explore the more controversial topic of awareness of abstract objects. I distinguish two questions. First, the Existence Question: are there any experiences that make their subjects aware (...) of abstract objects? Second, the Grounding Question: if an experience makes its subject aware of an abstract object, in virtue of what does it do so? I defend the view that intuitions, specifically mathematical intuitions, sometimes make their subjects aware of abstract objects. In defending this view, I develop an account of the ground of intuitive awareness. (shrink)

Philosophers frequently draw on natural language to motivate properties, numbers, and propositions as objects, and it is generally taken for granted that abstract objects of this sort are well-reflected in natural language and in fact that reference to them in natural language is pervasive In this paper, I will review and modify in a certain way the view I had advanced in Abstract Objects and the Semantics of Natural Language (Moltmann 2013a). This is the view (...) that natural language permits reference to abstract objects only in its periphery, not in its core. Even though reference to abstract objects of the sort of properties, propositions, and numbers is available only in the periphery of language, natural language permits reference to other sorts of abstract objects in its core, in particular abstract artifacts of various sorts. (shrink)

Over the last years, ‘sub-symbolic’ deep neural network (DNN) based artificial intelligence (AI) systems have run into all sorts of problems, especially with ‘hallucinations’ and in general with reliability.(REFs) One way to conceptualize this is to understand sub-symbolic AI to lack proper world models,(REFs) i.e. some type of proper mapping of what’s supposedly real and what’s not – though it might be more helpful to concede that such AI systems have ‘fuzzy’ implicit world models, that are superpositions of all proper (...) world models compatible with the statistics of the language token use in the training data. Understood in one of these ways, it is tempting to think that the problems of these models can be solved by adding proper world model information, only that the generation and operation of open, extended world models is exactly the task at which ‘classical’ symbolic AI approaches failed.(REFs) Combined sub-symbolic and symbolic approaches (like for instance ‘Neuro-AI‘ or similar)(REFs) are thus most likely doomed to run not only into some of the problems of both subsymbolic, as well as symbolic systems, but even into additional problems related to the interfacing of the two. For this interfacing, no generally applicable approach is known yet and given that (even after at least decades of research) our knowledge of how humans generate or access (layers of) symbol systems and world models is very limited, it seems at least questionable that substantial progress will be made with this in the near future. AI research and developement thus lead us back to core philosophical questions: What is abstraction? Are there proper (Platonic) abstract objects? etc. Somewhat surprisingly, we find ourselves on what appears to be a new path among many, leading to the realization that there is something very ‘real’ about abstract objects. (And that thus a lot of new problems are indeed old ones.) -- But if abstract objects are real, shouldn't we find evidence for this at the Neuroscience/Psychology interface? (shrink)

I reconcile the spatiotemporal location of repeatable artworks and impure sets with the non-location of natural numbers despite all three being varieties of abstract objects. This is possible because, while the identity conditions for all three can be given by abstraction principles, in the former two cases spatiotemporal location is a congruence for the equivalence relation featuring in the relevant principle, whereas in the latter it is not. I then generalize this to other ‘physical’ properties like shape, mass, (...) and causal powers. (shrink)

Abstract objects are standardly taken to be causally inert, however principled arguments for this claim are rarely given. As a result, a number of recent authors have claimed that abstract objects are causally efficacious. These authors take abstracta to be temporally located in order to enter into causal relations but lack a spatial location. In this paper, I argue that such a position is untenable by showing first that causation requires its relata to have a temporal (...) location, but second, that if an entity is temporally located then it is spatiotemporally located since this follows from the theory of Relativity. Since abstract objects lack a spatiotemporal location, then if something is causally efficacious, it is not abstract. (shrink)

Can we feel emotions about abstract objects, assuming that abstract objects exist? I argue that at least some emotions can have abstract objects as their intentional objects and discuss why this conclusion is not just trivially true. Through critical engagement with the work of Dacher Keltner and Jonathan Haidt, I devote special attention to awe, an emotion that is particularly well suited to show that some emotions can be about either concrete or (...) class='Hi'>abstract objects. In responding to a possible objection, according to which we can only feel emotions about things that we take to matter to our flourishing, and thus cannot feel emotions about causally inefficacious abstract objects, I explore how abstract objects can be relevant to human flourishing and discuss someemotions other than awe that can be about abstract objects. I finish by explaining somereasons why my conclusion matters, including the fact that it presents a challenge to perceptual theories of emotion and causal theories of intentionality. (shrink)

What is a concept? Philosophers have given many different answers to this question, reflecting a wide variety of approaches to the study of mind and language. Nonetheless, at the most general level, there are two dominant frameworks in contemporary philosophy. One proposes that concepts are mental representations, while the other proposes that they are abstract objects. This paper looks at the differences between these two approaches, the prospects for combining them, and the issues that are involved in the (...) dispute. We argue that powerful motivations have been offered in support of both frameworks. This suggests the possibility of combining the two. Unlike Frege, we hold that the resulting position is perfectly coherent and well worth considering. Nonetheless, we argue that it should be rejected along with the view that concepts are abstract objects. (shrink)

In this paper a parallel is drawn between the problem of epistemic access to abstract objects in mathematics and the problem of epistemic access to idealized systems in the physical sciences. On this basis it is argued that some recent and more traditional approaches to solving these problems are problematic.

This paper is concerned with neo-Fregean accounts of reference to abstract objects. It develops an objection to the most familiar such accounts, due to Bob Hale and Crispin Wright, based upon what I call the 'proliferation problem': Hale and Wright's account makes reference to abstract objects seem too easy, as is shown by the fact that any equivalence relation seems as good as any other. The paper then develops a response to this objection, and offers an (...) account of what it is for abstracta to exist that is Fregean in spirit but more robust than familiar views. (shrink)

The book has been added to the National Chengchi University (NCCU) Main Library, Taipei City, Taiwan—as part of the National Science Council-subsidized humanities and social science research: phenomenology. — — — Joining philosophy of language with phenomenological aesthetics, this book defines the epistemological status of abstract objects and works of art. Beginning with a provocative conversation between Socrates, Plato, Wittgenstein, and Jung, the book introduces the concept, and coins the term, "Platonic Inductive Fallacy," deriving from a cycle of (...) language games. The author then invokes Robert Stalnaker to clarify the difference between real and actual objects, which gives new insight into the epistemology of abstract objects. Armed with defined abstract objects, the reader is taken through a fascinating journey from 1890s aestheticism to present-day phenomenological aesthetics. The book clearly establishes principles and methods for defining works of art, and applies them to two versions of a Henry James novella. The clear definitions and inventive methods, supported with impressive, detailed research, lead to compelling and well-taken conclusions. This journey pays off with important and exciting results. (shrink)

In this paper I explore a position on which it is possible to eliminate the need for postulating abstract objects through abstraction principles by treating terms for abstracta as ‘incomplete symbols’, using Russell's no-classes theory as a template from which to generalize. I defend views of this stripe against objections, most notably Richard Heck's charge that syntactic forms of nominalism cannot correctly deal with non-first-orderizable quantifcation over apparent abstracta. I further discuss how number theory may be developed in (...) a system treating apparent terms for numbers using these definitions. (shrink)

In Fredericks (2018b), I argued that we can be morally responsible for our concepts if they are mental representations. Here, I make a complementary argument for the claim that even if concepts are abstract objects, we can be morally responsible for coming to grasp and for thinking (or not thinking) in terms of them. As before, I take for granted Angela Smith's (2005) rational relations account of moral responsibility, though I think the same conclusion follows from various other (...) accounts. My strategy is to focus on the relations that can obtain between concepts (understood as abstract objects) and morally responsible agents. I conclude by discussing some of the reasons why my arguments matter, which have to do with consequential choices between conceptual options, purposefully seeking out concepts that are new to us, and moral education. (shrink)

This article aims to provide a reassessment of the relationship between God and abstract objects. This reassessment will provide a new conceptualisation of this important relationship and will be formulated, first, within the theoretical framework of ‘Theistic Aspectivalism’, which is grounded on the notion of an aspect, proposed by Donald L.M. Baxter, which provides a means to ward off the ‘Bootstrapping Problem’. Second, within the theoretical framework of ‘Theistic Essentialism’, which is based on the notion of essence and (...) essential dependence, as proposed by Kit Fine, Jonathan Lowe, and Katherin Koslicki, which provides a metaphysical basis for the relationship between God and abstract objects to be further elucidated and for the position of 'Platonic Theism' to be free from the primary issues that are often raised against it. (shrink)

This my 3am interview with Richard Marshall about my work and its inspirations. It focuses on my research on parst and wholes, tropes, and abstract objects.

In this paper, I argue that all expressions for abstract objects are meaningless. My argument closely follows David Lewis’ argument against the intelligibility of certain theories of possible worlds, but modifies it in order to yield a general conclusion about language pertaining to abstract objects. If my Lewisian argument is sound, not only can we not know that abstract objects exist, we cannot even refer to or think about them. However, while the Lewisian argument (...) strongly motivates nominalism, it also undermines certain nominalist theories. (shrink)

I present a deflationary account of abstract objects, focusing on numbers and properties. This account can be seen as a natural extension of the deflationary account of truth. Very roughly, the key idea is that (1) our talk about numbers and properties serves a quasi-logical function analogous to our talk about truth, and (2) key questions about the metaphysics and epistemology of numbers and properties can be answered with reference to that function. In contrast to many other deflationary (...) approaches in metaphysics, the present account does not assume that the principles governing our talk about numbers and properties is analytically true. (shrink)

This paper is a result of a remarks delivered at the 2014 conference of the Florida Philosophical Association during a book symposium on Elijah Chudnoff's Intuition.

There is a common practice of providing natural-language ‘glosses’ on sentences in the language of higher order logic: for example, the higher-order sentence ∃X(X Socrates) might be glossed using the English sentence ‘Socrates has some property’. It is widely held that such glosses cannot be strictly correct, on the grounds that the word ‘property’ is a noun and thus, if meaningful at all, should be meaningful in the same way as any other noun. Against this view, this paper argues that (...) natural languages feature pervasive type-ambiguity, in such a way that the relevant English sentences have natural readings on which they are equivalent to the higher-order sentences of which they serve as ‘glosses’. It also responds to some objections that have often been taken to be fatal to such type-ambiguity, such as the challenge of accounting for the meaning of ‘mixed disjunctions’ like ‘Either Mars or the property of being red is interesting’. (shrink)

Propositions have played a central role in philosophy of language since Frege. I will argue that the notion of a proposition, because of a range of philosophical problems as well as problems of linguistic adequacy, should be replaced by a different notion, for almost all the roles for it has been invoked, namely by the notion of an attitudinal object. Attitudinal objects are entities like ‘John’s belief that S’, ‘John’s claim that S’, and ‘John’s desire to do X’. Attitudinal (...) objects are closely related to, yet ontologically distinct from mental events and speech acts. (shrink)

In this paper, I explore a line of argument against one form of realism about fictional characters : abstract artifact theory, the view according to which fictional characters like Harry Potter are part of our reality, but, they are abstract objects created by humans, akin to the institution of marriage and the game of soccer. I will defend artifactualism against an objection that Mark Sainsbury considers decisive against it: the category-mistake objection. The objection has it that artifactualism (...) attributes to people who produce and process sentences and thoughts about Harry Potter massive error, indeed, a category mistake about what kind of thing Harry Potter is; for an abstract object isn’t the sort of thing that can wear glasses, ride a double-decker bus, attend school. Given problems with this objection, artifactualism, I shall conclude, remains a tenable contender. (shrink)

[ first February 17, 2024, this release of May 25th, 2025 * ] -/- My goal in this paper is, to tentatively sketch and try defend some observations regarding the ontological dignity of object references, as they may be used from within in a formalized language [+] . -/- Hence I try to explore, what properties objects are presupposed to have, in order to enter the universe of discourse of an interpreted formalized language. -/- First I review Frege's analysis (...) of the logical structure of truth value definite sentences of scientific colloquial language, to draw suggestions from his saturated vs. unsaturated sentence components paradigm. -/- Next try investigate, in how far reference to non pure math objects might allow for a role as argument of a truth value function. Object kinds to be considered are: common sense objects, technical objects, humanities object kinds (social, psychical, ...), objects of art, ..., be they abstract, concrete, or in this respect mixed objects. -/- Then have a comment on the just referenced label abstract objects. -/- Next try to get an idea wrt the ontological significance of the fact, that pure math objects and functions in some important classical cases can be uniquely defined by means of categorical theories. Here, in the course of my argument, I have a little corollary wrt the standard model of first order Peano arithmetic, reducing the epistemological significance of the existence of the non standard models. -/- Next, wrt a special concept of a formalized empirical theory, I care for whether the impure math objects and mixed objects described here, and complying best with truth value function mapping, are also reliable candidates for the ontological commitment of such theories; and discuss an alternative, which reduces the ontological significance of the universe of discourse of the theories intended models. -/- In the end I sum up what is - from my point of view - the status quo, according to my respective findings. [ + consider here formalized languages with two valued standard logic; a partially different prospect might be given from a constructivist account, based on intuitionist logic ]. (shrink)

The type-level abstraction is a formal way to represent molecular structures in biological practice. Graphical representations of molecular structures of biological objects are also used to identify functional processes of things. This paper will reveal that category theory is a formal mathematical language not only to visualize molecular structures of biological objects as type-level abstraction formally but also to understand how to infer biological functions from the molecular structures of biological objects. Category theory is a toolkit to (...) understand biological knowledge at the type-level formally, not individual token-level, as well as typical heuristic strategies in molecular biology. (shrink)

Abstract creationism about fictional characters is the view that fictional characters are abstract objects that authors create. I defend this view against criticisms from Stuart Brock that hitherto have not been adequately countered. The discussion sheds light on how the number of fictional characters depends on authorial intention. I conclude also that we should change how we think intentions are connected to artifacts more generally, both abstract and concrete.

In his book The Things We Mean, Stephen Schiffer advances a subtle defence of what he calls the ‘face-value’ analysis of attributions of belief and reports of speech. Under this analysis, ‘Harold believes that there is life on Venus’ expresses a relation between Harold and a certain abstract object, the proposition that there is life on Venus. The present essay first proposes an improvement to Schiffer’s ‘pleonastic’ theory of propositions. It then challenges the face-value analysis. There will be such (...) things as propositions only if they possess conditions of identity and distinctness. By analyzing Frege’s theory of propositions (Gedanken), I argue that such conditions may be found for the special case of beliefs and sayings advanced as premises and conclusions of deductive arguments. These conditions, however, are not applicable to most ordinary beliefs and sayings. Ordinary attributions and reports, then, do not place thinkers and speakers in relations to propositions. A bonus is exposure of the fallacy in the Putnam-Taschek objection to Frege’s theory of sense and reference. (shrink)

In this paper I shall defend the idea that there is an abstract and general core meaning of objectivity, and what is seen as a variety of concepts or conceptions of objectivity are in fact criteria of, or means to achieve, objectivity. I shall then discuss the ideal of value-free science and its relation to the objectivity of science; its status can be at best a criterion of, or means for, objectivity. Given this analysis, we can then turn to (...) the problem of inductive risk. Do the value judgements regarding inductive risk really pose a threat to the objectivity of science? I claim that this is not the case because they do not lower the thresholds scientifically postulated for objectivity. I shall conclude the paper with a discussion of under-appreciated influences of values on science, which indeed pose a serious threat to the objectivity of some scientific disciplines. (shrink)

Objectophilia (also known as Objectum-Sexuality) involves romantic and sexual attraction to specific objects. Objectophiles often develop deep and enduring emotional, romantic, and sexual relations with specific inanimate (concrete or abstract) objects such as trains, bridges, cars, or words. . The determinants of objectophilia are poorly understood. The aim of this paper is to examine the determining factors of objectophilia. We examine four hypotheses about the determinants of objectophilia (pertaining to fetishism, synesthesia, cross-modal mental imagery, and autism) and (...) argue that the most likely determining factors of objectophilia are the social and non-social features of autism. Future studies on the determinants of objectophilia could enhance our understanding and potentially lessen the marginalization experienced by objectophiles. (shrink)

How can a metaphysics of abstract entities be built upon a metaphysics of time? In this paper, I address the question of how to accommodate abstract entities in a presentist world. I consider both the traditional metaontological approach of unrestricted fundamental quantification and then ontological pluralism. I argue that under the former we need to impose two constraints in the characterization of presentism in order to avoid undesired commitments to abstract entities: we have to characterize presentism as (...) a thesis only about the concrete, and we also need to avoid the widely held distinction between tensed and tenseless senses of existence. Under ontological pluralism, instead, I argue that we can naturally accommodate any view of abstract objects in a presentist world. (shrink)

This is a prepublication version of my book Objects and Attitudes (please cite the pbished version!). The book develops a novel semantics of attitude reports, modal sentences, and quotation based on the view that sentences semantically act as predicates of various attitudinal and modal objects, entities like claims, requests, promises, obligations, and permissions, rather than standing for abstract propositions playing the role of objects. The approach develops truthmaker semantics for attitudinal and modal objects and has (...) a wide range of applications to issues in philosophy of language, semantics, and philosophy of mind. (shrink)

Abstract -/- Libertarians typically believe that we are morally responsible for the choices (or decisions) we make only if those choices are free, and our choices are free only if they are neither caused nor nomically necessitated by antecedent events. Recently, there have been a number of attempts by philosophers to refute libertarianism by arguing that because a libertarianly free decision (choice) is both causally and nomically undetermined, which decision an agent makes in a deliberative situation is a matter (...) of luck, which implies (due to the way these philosophers use 'luck') that the agent does not have control over which decision he makes. This argument has been dubbed "the Argument from Luck" or "the Luck Objection" against libertarianism – henceforth 'LO'. In this paper, we examine some versions of LO as reflected in the works of Alfred Mele (2006), Neil Levy (2011), and Peter van Inwagen (2000, 2011). We argue that libertarians have nothing to fear from LO. Deep down the objection reflects a failure, on the part of its proponents, really to come to grips with the libertarian position. (shrink)

According to traditional theism, God alone exists a se, independent of all other things, and all other things exist ab alio, i.e., God both creates them and sustains them in existence. On the face of it, divine "aseity" is inconsistent with classical Platonism, i.e., the view that there are objectively existing, abstract objects. For according to the classical Platonist, at least some abstract entities are wholly uncreated, necessary beings and, hence, as such, they also exist a se. (...) The thesis of theistic activism purports to reconcile divine aseity with a robust Platonism. Specifically, the activist holds that God creates the abstract objects no less than the contingent concrete objects of the physical universe and hence that, like all created things, they exist ab alio after all, their necessity notwithstanding. But many philosophers believe a severe roadblock for activism remains — a problem known as the bootstrapping objection. Despite widespread faith in the deliverances of this argument, in this paper I show that the bootstrapping objection is open to significant objections on several fronts. (shrink)

This is a comment on Cian Dorr 'Higher-Order Quantification and the Elimination of Abstract Objects'. The aim of this contribution is to clarify and further develop a view (with its empirical generalizations) on which higher-order objects play a highly restricted role in the ontology of natural language. A sharp distinction is drawn between ontologically dependent objects (events, tropes, qualities, attitudinal objects etc.) and higher-order objects (properties, relations, propositions, etc.). Natural language reflects an ontology of (...) the former, rather than of the latter. (shrink)

Linnebo in 2018 argues that abstract objects like numbers are “thin” because they are only required to be referents of singular terms in abstraction principles, such as Hume's principle. As the specification of existence claims made by analytic truths (the abstraction principles), their existence does not make any substantial demands of the world; however, as Linnebo notes, there is a potential counter-argument concerning infinite regress against introducing objects this way. Against this, he argues that vicious regress is (...) avoided in the account of arithmetic based on Hume's principle because we are specifying numbers in terms of the concept of equinumerosity, or its ordinal equivalent. But far from being only a matter for philosophy, this implies a distinct empirical prediction: in cognitive development, the principle of equinumerosity is primary to number concepts. However, by analysing and expanding on the bootstrapping theory of Carey in 2009, I argue in this paper that there are good reasons to think that the development could be the other way around: possessing numerosity concepts may precede grasping the principle of equinumerosity. I propose that this analysis of early numerical cognition can also help us understand what numbers as thin objects are like, moving away from Platonist interpretations. (shrink)

My belief that Socrates was wise, and your belief that Socrates was mortal can be said to have a common focus, insofar as both these thoughts are about Socrates. In Peter Geach’s terminology, the objects of our beliefs bear the feature of intentional identity, because our beliefs share the same putative target. But what if it turned out that Socrates never existed? Can a pair of thoughts share a common focus if the object both thoughts are about, does not (...) actually, really exist? Object-centric accounts of intentionality which explain the aboutness or directedness of thought in terms of the intentional object the thought in question is about, contend that thoughts which share a common focus do so in virtue of both thoughts simply being about the same intentional object. However, Alexander Sandgren contends that such theories face difficulties in explaining a puzzle of intentional identity put forward by Walter Edelberg, in which a pair of sentences seem to differ in truth value but are purportedly logically equivalent on the object-centric theory. If this is right, then it seems that any account which explains intentionality with reference to an intentional object is threatened by this result, whether this object be abstract, merely possible, Meinongian, or otherwise. In this paper, I argue that Edelberg’s Puzzle is analogous to Frege’s Puzzle and the same tools conventionally used to solve Frege’s Puzzle can be used to solve Edelberg’s Puzzle. I then propose a new object-centric solution to Edelberg’s Puzzle which takes into account modes of presentation and which is able to accommodate all the relevant linguistic data. (shrink)

Abstract: This paper restates the thesis of 'The Requirements of Justice and Liberal Socialism" where it was argued that liberal socialism best meets Rawlsian requirements of justice. The recent responses to this paper by Jan Narveson, Jeppe von Platz, and Alan Thomas merit examination and comment. This paper shows that if Rawlsian justice is to be met, then non-personal property must be subject to public control. If just outcomes merit the public control of non-personal property and this control is (...) not utilized, then justice has been subordinated to the objectively less important institution of private property. (shrink)

We define consciousness as the category of all conscious experiences. This immediately raises the question: What is the essence in which every conscious experience in the category of conscious experiences partakes? We consider various abstract essences of conscious experiences as theories of consciousness. They are: (i) conscious experience is an action of memory on sensation, (ii) conscious experience is experiencing a particular as an exemplar of a general, (iii) conscious experience is an interpretation of sensation, (iv) conscious experience is (...) referring sensation to an object as its cause, and (v) conscious experience is a model of stimulus. Corresponding to each one of these theories we obtain a category of models of conscious experiences: (i) category of actions, (ii) category of idempotents, (iii) category of two sequential maps, (iv) category of brain-generalized figures, and (v) functor categories with intuition as base and conceptual repertoire as exponent, respectively. For each theory of consciousness we also calculate its truth value object and characterize the objective logic intrinsic to the corresponding category of models of consciousness experiences. (shrink)

This essay uses a mental files theory of singular thought—a theory saying that singular thought about and reference to a particular object requires possession of a mental store of information taken to be about that object—to explain how we could have such thoughts about abstract mathematical objects. After showing why we should want an explanation of this I argue that none of three main contemporary mental files theories of singular thought—acquaintance theory, semantic instrumentalism, and semantic cognitivism—can give it. (...) I argue for two claims intended to advance our understanding of singular thought about mathematical abstracta. First, that the conditions for possession of a file for an abstract mathematical object are the same as the conditions for possessing a file for an object perceived in the past—namely, that the agent retains information about the object. Thus insofar as we are able to have memory-based files for objects perceived in the past, we ought to be able to have files for abstract mathematical objects too. Second, at least one recently articulated condition on a file’s being a device for singular thought—that it be capable of surviving a certain kind of change in the information it contains—can be satisfied by files for abstract mathematical objects. (shrink)

This paper argues for a distinction between fictional characters, as parts of intentionally created abstract artifacts, and intentional objects, as nonexistent objects generated by referential acts that fail to refer. It argues that intentional objects as the nonexistent objects of imagination and other objectual attitudes are well-reflected in natural language, though in a highly restricted way, reflecting their ontological dependence on referential acts. The paper elaborates how that ontological dependence can be understood.

ABSTRACT: Frege, and others who followed him, stressed the role of fallibility as a means to defining ‘objectivity.’ By defining objective judgments as fallible, these philosophers contributed to the consolidation of a theory of objectivity which suggested interpreting epistemological, as well as other judgements, as being objective. An important philosophical implication of this theory lies in its disclosure of the interrelations between truth and objectivity. In light of this insight, and based on an analysis of instances of false (epistemological (...) and other) judgments, I show that truth and objectivity go hand-in-hand, while falsity and objectivity do not. This finding alone indicates the necessity to revise the theory of objectivity. (shrink)

In a series of publications, L. A. Paul has defended a version of the bundle theory according to which material objects are nothing but mereological sums of ‘their’ properties. This ‘mereological’ bundle theory improves in important ways on earlier bundle theories, but here I present a new argument against it. The argument is roughly this: Material objects occupy space; even if properties have spatial characteristics, they do not quite occupy space; on no plausible construal of mereological composition does (...) a mereological sum of non-space-occupying entities occupy space; therefore, material objects are not mereological sums of properties. (shrink)

Abstract A longstanding tension divides Logic and Hegel’s dialectical account of contradiction. Logic treats the law of non-contradiction as a foundational constraint on coherent thought, whereas Hegelian Dialectics takes contradiction to be universal and constitutive of development. Addressing this divergence, this paper proposes a unifying framework. Drawing selectively on phenomenology and radical constructivism, it takes insights concerning intentional directedness and the viability of knowledge, extends them to the ontological level, and advances the Principle of No Transcendental Objects. On (...) this basis, the paper reconstructs both Logic and Hegelian Dialectics within a single generative account of objectivity. Within this framework, objectivity is generated by cognition; however, cognition neither creates objects ex nihilo nor exercises ontological sovereignty over processes of object-change or object-collapse. Under the Principle of No Transcendental Objects, Logic articulates the conditions under which cognition generates and stabilizes objects, whereas Dialectics characterizes the structurally inevitable processes by which object-identity destabilizes, collapses, and is regenerated. Logic thus functions as a morphology of cognitive success, while Dialectics functions as a dynamics of cognitive failure. The two are therefore not competing metaphysical descriptions but complementary perspectives on the same generative process. The framework resolves the traditional opposition between Logic and Dialectics regarding contradiction and offers an ontological basis for their systematic integration. Keywords: Logic; contradiction; Dialectics; Principle of No Transcendental Objects; objectivity; identity;. (shrink)

Abstract: This paper traces a Kantian and pragmatist line of thinking that connects the ideas of conceptual content, object cognition, and modal constraints in the form of counterfactual sustaining causal laws. It is an idea that extends from Kant’s Critique of Pure Reason through C. I. Lewis’s Mind and the World-Order to the Kantian naturalism of Wilfrid Sellars and the analytic pragmatism of Robert Brandom. Kant put forward what I characterize as a modal conception of objectivity, which he developed (...) as an extended argument stretching from the transcendental deduction through the analogies of experience to the regulative maxims of reason and reflective judgment. In related ways in Lewis and Sellars, the very idea of an object of knowledge (and of intentionality more generally) is connected with a certain lawfulness or modal constraint the necessary representation of which, they argue, is an achievement of conceptualization. While Sellars agreed with the spirit of Lewis’s famous pragmatic conception of the a priori, Sellars’s conception of meaning and conceptual content differed in crucial ways with important consequences for this issue. I argue furthermore that a certain phenomenalist temptation threatens to spoil this insight both among some of Kant’s interpreters and in Lewis’s thought. Finally, I point out that Brandom’s “Kant-Sellars thesis” provides new support for this line of thought. Although questions concerning idealism continue to raise controversies for neo-Kantians and pragmatists, the line of thought itself represents a distinctive and still promising approach to questions concerning intentionality and conceptual content. (shrink)

Callard (2007) argues that it is metaphysically possible that a mathematical object, although abstract, causally affects the brain. I raise the following objections. First, a successful defence of mathematical realism requires not merely the metaphysical possibility but rather the actuality that a mathematical object affects the brain. Second, mathematical realists need to confront a set of three pertinent issues: why a mathematical object does not affect other concrete objects and other mathematical objects, what counts as a mathematical (...) object, and how we can have knowledge about an unchanging object. (shrink)

Field’s challenge to platonists is the challenge to explain the reliable match between mathematical truth and belief. The challenge grounds an objection claiming that platonists cannot provide such an explanation. This objection is often taken to be both neutral with respect to controversial epistemological assumptions, and a comparatively forceful objection against platonists. I argue that these two characteristics are in tension: no construal of the objection in the current literature realises both, and there are strong reasons to think that no (...) version of Field’s epistemological objection which has both Neutrality and Force can be construed. (shrink)