While I strongly agree with Patrick Grim that abstract relationships are real, and that it is possible to get them right, the danger that we will get them wrong is just as real. The use of visual representation of abstract phenomena, precisely because of our predilection to see patterns in everything and because we don't have to think so hard about visible representations generally, may lead us to see things that aren't there.

For some reason, participants hold agents more responsible for their actions when a situation is described concretely than when the situation is described abstractly. We present examples of this phenomenon, and survey some attempts to explain it. We divide these attempts into two classes: affective theories and cognitive theories. After criticizing both types of theories we advance our novel hypothesis: that people believe that whenever a norm is violated, someone is responsible for it. This belief, along with the familiar workings (...) of cognitive dissonance theory, is enough to not only explain all of the abstract/concrete paradoxes, but also explains seemingly unrelated effects, like the anthropomorphization of malfunctioning inanimate objects. (shrink)

The characterization of early token-based accounting using a concrete concept of number, later numerical notations an abstract one, has become well entrenched in the literature. After reviewing its history and assumptions, this article challenges the abstract–concrete distinction, presenting an alternative view of change in Ancient Near Eastern number concepts, wherein numbers are abstract from their inception and materially bound when most elaborated. The alternative draws on the chronological sequence of material counting technologies used in the (...) Ancient Near East—fingers, tallies, tokens, and numerical notations—as reconstructed through archaeological and textual evidence and as interpreted through Material Engagement Theory, an extended-mind framework in which materiality plays an active role (Malafouris 2013). (shrink)

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The question of “how one should philosophize?” is driven not only out of the desire to have a glimpse of the ideas worthy to be regarded as true, but also to address the pressing problems of the time. Marx’s humanism, as articulated mainly in the Economic and Philosophic Manuscripts of 1844, suggests a certain thinking that addresses the latter. It is the humanism that discovers the concrete estrangement of workers from the abstraction of the political economy at the backdrop (...) of human emancipation. Heidegger, however, in the Letter on Humanism, poses critical challenge against the humanism Marx suggested. He questions Marx’s humanism (and the humanism in totality) to provide the human being direction to attain its essential humanity, and not just relegate man into inhumanity of animalitas. The paper critically examines the ideas given by Heidegger. Although Heidegger could be correct in his examination of the previous humanism, which includes Marx, how he understands the essence of man as “ek-sistence” is but a form of abstraction, an abstraction which is based in his inhuman concept of thinking. The paper does not entirely denounce Heidegger’s thinking, but appeals to recognize the dangers containing in its ambiguity and abstractness. Marx’s humanism, on the other hand, though has forgotten being, is more concrete. With this, the paper calls to repose the tasks and the questions of humanism, and directs thinking out from the dangers of abstraction to concrete understanding of human beings, their problems and solutions. (shrink)

Human behavior is frequently described both in abstract, general terms and in concrete, specific terms. We asked whether these two ways of framing equivalent behaviors shift the inferences people make about the biological and psychological bases of those behaviors. In five experiments, we manipulated whether behaviors are presented concretely (i.e. with reference to a specific person, instantiated in the particular context of that person’s life) or abstractly (i.e. with reference to a category of people or behaviors across generalized (...) contexts). People judged concretely framed behaviors to be less biologically based and, on some dimensions, more psychologically based than the same behaviors framed in the abstract. These findings held true for both mental disorders (Experiments 1 and 2) and everyday behaviors (Experiments 4 and 5) and yielded downstream consequences for the perceived efficacy of disorder treatments (Experiment 3). Implications for science educators, students of science, and members of the lay public are discussed. (shrink)

Trope theory is a leading metaphysical theory in analytic ontology. One of its classic statements is found in the work of Donald C. Williams who argued that tropes qua abstract particulars are the very alphabet of being. The concept of an abstract particular has been repeatedly attacked in the literature. Opponents and proponents of trope theory alike have levelled their criticisms at the abstractness of tropes and the associated act of abstraction. In this paper I defend the concept (...) of a trope qua abstract particular by rejecting arguments that purport to show that tropes should not be understood as abstract and by arguing that the abstractness of tropes plays an indispensable role in one of our more promising trope-theoretic analyses of universals and of concrete objects. (shrink)

This essay presents a novel physicalist perspective on the fluidity of identity for concrete and abstract objects. The comprehensive definition of identity that is adopted considers an object's physical properties, location, and relationships to other things or events. The argument is developed through three premises: that the law of identity does not hold for concrete objects, that abstract objects depend on physical substrates and are thus in flux, and that even objects fixed in space and time (...) may not have a fixed identity. The conclusion is that the law of identity does not universally hold for tangible things, so-called abstract things; and finally, objects in a unique spatiotemporal location. The essay contributes to the ongoing philosophical discourse on identity and encourages readers to question traditional understandings of the law of identity. The implications of this argument extend beyond philosophy to fields such as biology, chemistry, and computer science, where a sound understanding of identity is critical. (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.

Today it would be considered "bad Platonic metaphysics" to think that among all the concrete instances of a property there could be a universal instance so that all instances had the property by virtue of participating in that concrete universal. Yet there is a mathematical theory, category theory, dating from the mid-20th century that shows how to precisely model concrete universals within the "Platonic Heaven" of mathematics. This paper, written for the philosophical logician, develops this category-theoretic treatment (...) of concrete universals along with a new concept to abstractly model the functions of a brain. (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)

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 paper looks at the history of the problem of individuation from Plato to Whitehead. Part I takes as its point of departure Reiner Wiehl’s interpretation of the different meanings of “abstract” in the metaphysics of Alfred North Whitehead and arrives at a corresponding taxonomy of different ways things can be called concrete. Part II compares the way philosophers in different periods understand the relation between thought and intuition. The view mostly associated with ancient philosophy is that thought (...) and sense-perception target different kinds of objects. The view mostly associated with modern philosophy (although it was introduced by the Stoics) is that thought and sense-perception are different ways of targeting the same objects. These differences have specific consequences for theories of individuation, which are assessed historically in Part III and then applied to Whitehead’s difficult texts in part IV. (shrink)

In this paper, we try to establish that some mathematical theories, like K-theory, homology, cohomology, homotopy theories, spectral sequences, modern Galois theory (in its various applications), representation theory and character theory, etc., should be thought of as (abstract) machines in the same way that there are (concrete) machines in the natural sciences. If this is correct, then many epistemological and ontological issues in the philosophy of mathematics are seen in a different light. We concentrate on one problem which (...) immediately follows the recognition of the particular status of these theories: the demarcation problem between ‘natural kinds’ and ‘artefacts’. (shrink)

The core argument of this article is that Adorno adopts the distinction between an abstract and a concrete universal from Hegel and criticizes Hegel, on that basis, as abstract. The first two parts of the article outline that both thinkers take the abstract universal to be the form of a false type of knowledge and society, and the concrete universal to be a positive aim. However, as the third part argues, Adorno rejects how the (...) class='Hi'>concrete universal is understood in Hegel’s philosophy and formulates a different conception of it. The fourth part questions if Adorno manages to overcome the problems he identifies in Hegel or whether they are inherent to the programme of dialectics both endorse. (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 (...) class='Hi'>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)

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 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)

Everyday media consumption leaves no doubt that the perception of moving images from various media is characterized by experience and understanding. Corresponding research in this field has shown that the stimulus patterns flooding in on us are not only processed mentally, but also bodily. Building on this, the following study argues that incoming stimuli are processed not only visually, but multimodally, with all senses, and moreover affectively. The classical binding of a sensory organ to a medium, on whose delimitation the (...) common understanding of multimodality is based, is thus abolished. Can arguments for this assumption be found? Building on the research of cultural anthropologist Ernst Cassirer and his successors, the two American philosophers Susanne K. Langer and John M. Krois, and supported by research from the life sciences in which, in parallel, the arts also play an important role in understanding image formation, as in the work of Heinz Werner and, following on from this, in the more recent research of the child psychologist Daniel N. Stern in collaboration with mirror neuron research by the group of neuroscientists around Giacomo Rizzolatti in Parma, justifications for this will be provided. What the multimodal processing of film images is concretely based on will finally be made clear by means of an exemplary analysis of a video film by the Swiss artist Pipilotti Rist. It aims to prove, that the prerequisites for the thesis can only lie in the fact, that both the modes of perception (visual, tactile, auditory, olfactory, gustatory) as well as the medially conditioned modes of image formation are based on non-discursive, formal-abstract structures that are also processed affectively. At the same time, the analysis thus shows how the selection and composition of the vital experienced forms can provide information about the socio-culturally shaped self-image of the producer and the viewer. (shrink)

Artworks have at least some necessary content properties, as do abstract entities such as propositions. But no concrete item, whether an object, event, process etc., could have any necessary content property. So no artwork could be identical with a concrete item. Hence artworks must be abstract. I also argue that artworks are only contingently connected with concrete items, just as propositions are only contingently linked to their linguistic tokens.

By transcendental aesthetic, Kant means “the science of all principles of a priori sensibility” (A 21/B 35). These, he argues, are the laws that properly direct our judgments of taste (B 35 – 36 fn.), i.e. our aesthetic judgments as we ordinarily understand that notion in the context of contemporary art. Thus the first part of the Critique of Pure Reason, entitled the Transcendental Aesthetic, enumerates the necessary presuppositions of, among other things, our ability to make empirical judgments about particular (...) works of art. These presuppositions are sensible rather than intellectual because on Kant’s view, all intellection that considers objects of any kind, whether abstract or concrete, must at base connect to actual, material objects with which we come into direct contact; and this we can do only through sensibility (A 19/B 33). Thus the following discussion explores what Kant claims must be true of us in order to make the sorts of aesthetic judgments we make, rather than any particular class or quality of aesthetic judgments itself. On Kant’s view, what must be true of us in order to make aesthetic judgments is not different from what must be true of us in order to make any other kind of judgment about empirical objects. (shrink)

Abstract artifacts such as musical works and fictional entities are human creations; they are intentional products of our actions and activities. One line of argument against abstract artifacts is that abstract objects are not the kind of objects that can be created. This is so, it is argued, because abstract objects are causally inert. Since creation requires being caused to exist, abstract objects cannot be created. One common way to refute this argument is to reject (...) the causal inefficacy of abstracta. I argue that creationists should rather reject the principle that creation requires causation. Creation, in my view, is a non-causal relation that can be explained using an appropriate notion of ontological dependence. The existence and the creation of abstract artifacts depend on certain individuals with appropriate intentions, along with events of a certain kind that include but are not limited to creations of certain concrete objects. (shrink)

It is often believed that the only alternative to an idealist conception of natural phenomena excludes both the presence of objective universal forms and their progression towards higher forms as the finality of processes in the natural world. Realism regarding the universal and teleological approaches regarding processes are signs of idealism. Therefore, materialism, it would seem, must conform to a nominalist and mechanical view of nature. However, an intelligent materialist reading of idealism’s classics reveals a more complex scenario. A real (...) fact is expressed in a mystical fashion in idealism’s conceptions of objective universals and teleology. This article attempts to show such a real fact in its authentic (materialist) form. With that goal in mind, the present article discusses the notion of nature’s alienation, the distinction between abstract and concrete universals, and the concept of dialectical interaction. The natural-historical emergence of a higher form of matter’s organization assimilates, as its organs, the conditions that preceded it in time, transforming itself into an active producer of such conditions. That is the secret glimpsed but not correctly understood by idealism that a consistent materialist should not ignore. (shrink)

Despite the recent upsurge in research on abstract concepts, there remain puzzles at the foundation of their empirical study. These are most evident when we consider what is required to assess a person’s abstract conceptual abilities without using language as a prompt or requiring it as a response—as in classic non-verbal categorization tasks, which are standardly considered tests of conceptual understanding. After distinguishing two divergent strands in the most common conception of what it is for a concept to (...) be abstract, we argue that neither reliably captures the kind of abstraction required to successfully categorize in non-verbal tasks. We then present a new conception of concept abstractness—termed Trial Concreteness—that is keyed to individual categorization trials. It has advantages in capturing the context-relativity of the degree of abstraction required for the application of a concept and fittingly correlates with participant success in recent experiments. (shrink)

The recent discussion of fictional models has focused on imagination, implicitly considering fictions as something nonconcrete. We present two cases from synthetic biology that can be viewed as concrete fictions. Both minimal cells and alternative genetic systems are modal in nature: they, as well as their abstract cousins, can be used to study unactualized possibilia. We approach these synthetic constructs through Vaihinger’s notion of a semi-fiction and Goodman’s notion of semifactuality. Our study highlights the relative existence of such (...) concrete fictions. Before their realizations neither minimal cells nor alternative genetic systems were any well-defined objects, and the subsequent experimental work has given more content to these originally schematic imaginings. But it is as yet unclear whether individual members of these heterogeneous groups of somewhat functional synthetic constructs will eventually turn out to be fully realizable, remain only partially realizable, or prove outright impossible. (shrink)

This paper discusses attributively limited concrete objects such as disturbances (holes, folds, scratches etc), tropes, and attitudinal objects, which lack the sort of spatial location or part structures expected of them as concrete objects. The paper proposes an account in terms of (quasi-Fregean) abstraction, which has so far been applied only to abstract objects.

In this thesis I argue against unrestricted mereological hybridism, the view that there are absolutely no constraints on wholes having parts from many different logical or ontological categories, an exemplar of which I take to be ‘mixed fusions’. These are composite entities which have parts from at least two different categories – the membered (as in classes) and the non-membered (as in individuals). As a result, mixed fusions can also be understood to represent a variety of cross-category summation such as (...) the abstract with the concrete, the physical with the non-physical, and the possible with the impossible, just to name a few. -/- Proposed by David Lewis (1991) alongside his defence of classical mereology (the major theory of parthood which permits such transcategorial composites through its principle of unrestricted composition) it is my contention that mixed fusions are an under-examined consequence of indiscriminate mereological fusion which harbour a multitude of complications. In my attempt to discern their substantive character, throughout this thesis I make a case study of mixed fusions and uncover several problematic consequences which I think follow from their most plausible assessment. -/- These include: (1) that mixed fusions’ probable membership relations may lead to dubious foundational loops in the mereological Universe, or (2) otherwise that mixed fusions oblige an implausible ontological priority of the mereological Universe as a whole; (3) that mixed fusions contradict the reductive account of set theory they are proposed within, by plausibly being seen to have the same members as their class parts, and (4) that mixed fusions therefore confound a mereological thesis of Composition as Identity, which some (including Lewis) use to support classical mereology – a consequence which is potentially self-defeating; (5) that mixed fusions as sums of abstract and concrete entities both subvert Lewis’s (1986) system of modal realism, while (6) also undermining less expansive theories of possible worlds; and finally, (7) that even where some of the foregoing is resisted, it remains implausible that mixed fusions are ontologically innocent, because their supposed distinction from their parts in this case ensures that they need to be counted as additional entities in one’s ontology. -/- To be clear, I do not advance a theory of mereological hybrid nihilism in the sense of denying all cases of transcategorial composition. (I only cover a few select instances of mereological hybridism via mixed fusions after all.) Rather, I deny that mereological hybridism is plausible in full generality, by demonstrating that any cases of it are at least limited by the constraints that I identify. This in turn vindicates a call for a restriction on parthood theories and composition principles which allow certain types of categorially mixed entities – including restricting classical mereology with its principle of unrestricted composition. -/- Although theories of parthood like the standard classical mereology are not ordinarily developed for the sake of mereological hybrids like mixed fusions, these and other transcategorial composites are still among the logical consequences of such parthood systems operating with sufficient generality. The significance of my thesis, then, comes from showcasing how some of these kinds of entities do not conform to the systems in which they are included as required, and hence I argue for the rejection of unrestricted mereological hybridism as well as any mereological principles which support it. (shrink)

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. (shrink)

Reism or concretism are the labels for a position in ontology and semantics that is represented by various philosophers. As Kazimierz Ajdukiewicz and Jan Woleński have shown, there are two dimensions with which the abstract expression of reism can be made concrete: The ontological dimension of reism says that only things exist; the semantic dimension of reism says that all concepts must be reduced to concrete terms in order to be meaningful. In this paper we argue for (...) the following two theses: (1) Arthur Schopenhauer has advocated a reistic philosophy of language which says that all concepts must ultimately be based on concrete intuition in order to be meaningful. (2) In his semantics, Schopenhauer developed a theory of logic diagrams that can be interpreted by modern means in order to concretize the abstract position of reism. Thus we are not only enhancing Jan Woleński’s list of well-known reists, but we are also adding a diagrammatic dimension to concretism, represented by Schopenhauer. (shrink)

This chapter considers the ‘hosting question’ of how immanent universals, in contrast to transcendent universals, are ‘brought down to earth’ from ‘Plato’s heaven’. It explores the thesis that the hosting amounts to their being constituents of the states of affairs that result from their instantiations. These states of affairs are concrete complexes consisting of particulars and universals, and perhaps something that links them together. The traditional view that immanent universals are concrete is briefly defended against a recent prominent (...) objection. On relationalism, states of affairs are unified by a relation of some sort; on non-relationalism they are unified non-relationally. Roughly, these two conceptions of states of affairs are equivalent to Armstrong’s relational and non-relational versions of immanent realism, respectively. Armstrong mostly criticises the former and defends the latter. It is argued, however, that relationalism, at least potentially, answers the hosting question, whereas non-relationalism realism does not. (shrink)

I argue that it is not acceptable to restrict the claim that linguistic types are concrete entities (type-concretism) to some categories of linguistic types (such as words or proper names), while at the same time conceding that other categories of linguistic types (such as sentence types) are abstract entities. Moreover, I suggest a way in which type-concretism can be extended to every linguistic type, thereby responding to the so-called productivity objection to type-concretism, according to which, whenever tokens of (...) a type t are produced in different, causally isolated circumstances, then t needs to be identified by a certain form or structure. This extension of type-concretism detaches type-concretism from so-called originalism and gives rules a prominent role in type-concretism. (shrink)

Cognition involves physical stimulation, neural coding, mental conception, and conscious perception. Beyond the neural coding of physical stimuli, it is not clear how exactly these component processes constitute cognition. Within mathematical sciences, category theory provides tools such as category, functor, and adjointness, which are indispensable in the explication of the mathematical calculations involved in acquiring mathematical knowledge. More speci cally, functorial semantics, in showing that theories and models can be construed as categories and functors, respectively, and in establishing the adjointness (...) between abstraction (of theories) and interpretation (to obtain models), mathematically accounts for knowing-within-mathematics. Here we show that mathematical knowing recapitulates--in an elementary form--ordinary cognition. The process of going from particulars (physical stimuli) to their concrete models (conscious percepts) via abstract theories (mental concepts) and measured properties (neural coding) is common to both mathematical knowing and ordinary cognition. Our investigation of the similarity between knowing-within-mathematics and knowing-in-general leads us to make a case for the development of the basic science of cognition in terms of the functorial semantics of mathematical knowing. (shrink)

Mathematical realism asserts that mathematical objects exist in the abstract world, and that a mathematical sentence is true or false, depending on whether the abstract world is as the mathematical sentence says it is. I raise two objections against mathematical realism. First, the abstract world is queer in that it allows for contradictory states of affairs. Second, mathematical realism does not have a theoretical resource to explain why a sentence about a tricle is true or false. A (...) tricle is an object that changes its shape from a triangle to a circle, and then back to a triangle with every second. (shrink)

The two-fold ontological character of linguistic objects revealed due to the distinction between “type” and “token” introduced by Ch. S. Peirce can be a base of the two-fold, both theoretical and axiomatic, approach to the language. Referring to some ideas included in A. A. Markov’s work [1954] (in Russian) on Theory of Algorithms and in some earlier papers of the author, the problem of formalization of the concrete and abstract words theories raised by J. Słupecki was solved. The (...) construction of the theories presented here has two levels. The axiomatic theory of label-tokens: material, physical linguistic objects, constitutes the first one. Label-types, according to the literature of the subject, are defined on the other level as equivalence classes of equiform label-tokens. Assuming the opposite point of view, one can accept that theory of label-types: abstract labels, formalized on the first level, in which it is possible to define the notion of label-token as well as the derivative notions on the second level, should become the basis of formalization of the theory of linguistic expressions and the theory of language in general. The axioms and definitions of both theories of labels: T k and T p representing the other approach to the ontology of language are included in the sequel of the abstract. The foundations of the theory of labels T k in which the primary assumption as to the label-types existence is superfluous have been referred on the basis of the author's monography "Teorie Języków Syntaktycznie Kategorialnych" ( "The Theories of Syntactically Categorial Languages"), PWN, Warszawa-Wrocław 1985. The basis of the theory of labels T p which takes into account the other position has to be presented here for the first time. Some extended ideas of the paper will also be presented in author's paper "Logiczne podstawy ontologii składni Języka" ("Logical foundations of language syntax ontology), Studia Filozoficzne 6-7 (271-272), (1988), pp. 263-284. (shrink)

I defend a new position in philosophy of mathematics that I call mathematical inferentialism. It holds that a mathematical sentence can perform the function of facilitating deductive inferences from some concrete sentences to other concrete sentences, that a mathematical sentence is true if and only if all of its concrete consequences are true, that the abstract world does not exist, and that we acquire mathematical knowledge by confirming concrete sentences. Mathematical inferentialism has several advantages over (...) mathematical realism and fictionalism. (shrink)

People often answer why-questions with what we call experiential explanations: narratives or stories with temporal structure and concrete details. In contrast, on most theories of the epistemic function of explanation, explanations should be abstractive: structured by general relationships and lacking extraneous details. We suggest that abstractive and experiential explanations differ not only in level of abstraction, but also in structure, and that each form of explanation contributes to the epistemic goals of individual learners and of science. In particular, experiential (...) explanations support mental simulation and survive transitions across background theories; as a result, they support learning and help us translate between competing frameworks. Experiential explanations play an irreducible role in human cognition – and perhaps in science. (shrink)

Abstract: There has recently been controversy over the existence of 'multiple realization' in addition to some confusion between different conceptions of its nature. To resolve these problems, we focus on concrete examples from the sciences to provide precise accounts of the scientific concepts of 'realization' and 'multiple realization' that have played key roles in recent debates in the philosophy of science and philosophy of psychology. We illustrate the advantages of our view over a prominent rival account ( Shapiro, (...) 2000 and 2004 ) and use our work to rebut recent objections to the long-standing claim that psychological properties are multiply realized. For we use scientific evidence, in combination with our more precise theoretical framework, to show that we have strong reason to believe that psychological properties are indeed multiply realized both at the biochemical and neuronal levels. (shrink)

Abstract: The article presents and critically discusses Walton's (and Reed's and Macagno's) argument scheme approach to a theory of good argumentation. In particular, four characteristics of Walton's approach are presented: 1. It presents normative requirements for argumentation in the form of argument schemes, i.e. relatively concrete type descriptions. 2. These schemata are enthymematic, i.e. they omit some of the premises required by other approaches. 3. The actual argument schemes are usually supplemented by critical questions. 4. The method is (...) inductive, bottom-up, gaining the normative schemata by abstraction from empirically collected groups of similar arguments. These characteristics, among others, are then discussed on the basis of four adequacy conditions: AC1: effectiveness in achieving the epistemic goal of obtaining and communicating justified acceptable opinions; AC2: completeness in capturing the good argument types; AC3: efficiency in achieving the goals; AC4: justification of the argument schemes. The discussion then reveals a number of weaknesses in Walton's argument schemes; among other things, they are neither effective (in the defined sense) nor truly justified. Contributing factors to these problems include the schema approach, i.e. not looking at the form of arguments, and the lack of epistemological foundations in the development of good types of arguments. However, the critical analyses reveal a better alternative: an epistemological approach based on epistemological principles. The article concludes with a detailed analysis of the scheme Practical Inference, which confirms the general criticism in detail. (shrink)

Abstract In this article, a critical assessment is carried out of the two available forms of nominalism with respect to the ontological constitution of material objects: resemblance nominalism and trope theory. It is argued that these two nominalistic ontologies naturally converge towards each other when the problems they have to face are identified and plausible solutions to these problems are sought. This suggests a synthesis between the two perspectives along lines first proposed by Sellars, whereby, at least at the (...) level of the simplest, truly fundamental constituents of reality, every particular is literally both an object and a particularized property (or, alternatively put, the distinction between objects and properties dissolves). Some potential problems and open issues for such an approach to nominalism in ontology are identified and discussed, with particular emphasis on the sort of fundamentalism that seems to crucially underlie the proposed ontology. Content Type Journal Article Pages 1-14 DOI 10.1007/s12136-011-0145-x Authors Matteo Morganti, Department of Philosophy, University of Rome ‘RomaTRE’, Via Ostiense, 234, 00144 Rome, Italy Journal Acta Analytica Online ISSN 1874-6349 Print ISSN 0353-5150. (shrink)

In this paper, I defend an indexical analysis of the abstract-concrete distinction within the framework of modal realism. This analysis holds the abstract-concrete distinction to be conceptually inseparable from the distinction between the actual and the merely possible, which is assumed to be indexical in nature. The resulting view contributes to the case for modal realism by demonstrating how its distinctive resources provide a reductive analysis of the abstract-concrete distinction. This indexical analysis also provides (...) a solution to a sceptical problem regarding our concreteness, which parallels the sceptical problem that motivates indexicalism about actuality. (shrink)

'Ontology and Metaontology: A Contemporary Guide' is a clear and accessible survey of ontology, focussing on the most recent trends in the discipline. -/- Divided into parts, the first half characterizes metaontology: the discourse on the methodology of ontological inquiry, covering the main concepts, tools, and methods of the discipline, exploring the notions of being and existence, ontological commitment, paraphrase strategies, fictionalist strategies, and other metaontological questions. The second half considers a series of case studies, introducing and familiarizing the reader (...) with concrete examples of the latest research in the field. The basic sub-fields of ontology are covered here via an accessible and captivating exposition: events, properties, universals, abstract objects, possible worlds, material beings, mereology, fictional objects. -/- The guide's modular structure allows for a flexible approach to the subject, making it suitable for both undergraduates and postgraduates looking to better understand and apply the exciting developments and debates taking place in ontology today. (shrink)

ABSTRACT Genevieve Lloyd argues that when we follow Spinoza in understanding reason as a part of nature, we gain new insights into the human condition. Specifically, we gain a new political insight: we should respond to cultural difference with a pluralist ethos. This is because there is no pure universal reason; human minds find their reason shaped differently by their various embodied social contexts. Furthermore, we can use the resources of the imagination to bring this ethos about. In my (...) response, I offer a friendly challenge to Lloyd’s characterisation of the lessons of Spinoza’s philosophy. I argue that Lloyd’s Spinoza remains excessively unpolitical, even in the moment that he is brought to bear on contemporary politics. An unpluralistic attitude may well be rationally inferior, but is it really explained by insufficient or inappropriate imagination? To the contrary, a properly Spinozist account of reason must include an account of the concrete determinants of reason’s imperfect realisation in the world. In Spinoza’s own oeuvre, this is carried out through an ever-increasing—and ever more sociological—interest in the political structures within which individual reason flourishes or withers. (shrink)

An analysis of the physical implications of abstractness reveals the reality of three interconnected modes of existence: abstract, virtual and concrete, corresponding in physics to information, energy and matter. This triple-aspect monism clarifies the ontological status of subatomic quantum particles. It also provides a non-spooky solution to the weirdness of quantum physics and a new outlook for the mind-body problem. The ontological implications are profound for both physics and philosophy.

I explain a tension between musical creationism (the view that musical works are abstract artifacts) and the view that there is no vague existence. I then suggest ways to reconcile these views. My central conclusion is that, although some versions of musical creationism imply vague existence, others do not. I discuss versions of musical creationism held by Jerrold Levinson, Simon Evnine, and Kit Fine. I also present two new versions. I close by considering whether the tension is merely an (...) instance of a general problem raised by artifacts, both abstract and concrete. I argue that on at least one defensible account of music the tension is especially problematic for abstracta. I focus on musical works, but much of the paper straightforwardly applies to other kinds of abstract artifacts. (shrink)

The aim of this paper is an ontological clarification of the concept of artefact. The following questions are addressed: 1. Do artefacts constitute an ontological category of objects in its own right, and if so, how could this category be characterized? 2. How do artefacts come into existence? 3. What kind of artefacts are there, and in which relations do they stand to each other? It is argued that artefacts are characterized essentially through their genesis and that they owe their (...) existence to mental acts of a particular kind, which I call “acts of creation”. It is maintained that there are not only concrete, material artefacts, but also abstract artefacts, that is, artefacts that cannot be perceived through the senses and are not located in space. Furthermore, it shall be claimed that in a sense those abstract artefacts are even primary to the concrete, material artefacts. (shrink)

Abstract In initial teacher training, the micro-teaching activities and retroaction have for goals to develop reflexive practitioners and competent professionals with a high professional identity. The double analyze of the teacher’s action – observation of teacher gestures and analysis of retroaction - requires two complementary methods to make the links between interactive and postactive phase. In this article, the authors describe the different training activities, and explain the research approach with an illustration of a concrete case. -/- En (...) formation initiale des enseignants, les activités de micro-enseignement et de rétroaction vidéo ont pour objectif de former des praticiens réflexifs et des professionnels compétents dotés d’une identité forte. La double lecture de l’action, via l’observation des gestes professionnels et l’analyse des traces de réflexivité survenues contenu lors des entretiens de rétroactions, nécessite de mettre en place deux méthodes complémentaires, ceci afin de faire les liens entre phase interactive et phase postactive. Dans cet article, après avoir détaillé le dispositif de formation, les auteurs exposent leurs démarches en les illustrant par le cas concret d’une future enseignante. (shrink)

Abstract In initial teacher training, the micro-teaching activities and retroaction have for goals to develop reflexive practitioners and competent professionals with a high professional identity. The double analyze of the teacher’s action – observation of teacher gestures and analysis of retroaction - requires two complementary methods to make the links between interactive and postactive phase. In this article, the authors describe the different training activities, and explain the research approach with an illustration of a concrete case. En formation (...) initiale des enseignants, les activités de micro-enseignement et de rétroaction vidéo ont pour objectif de former des praticiens réflexifs et des professionnels compétents dotés d’une identité forte. La double lecture de l’action, via l’observation des gestes professionnels et l’analyse des traces de réflexivité survenues contenu lors des entretiens de rétroactions, nécessite de mettre en place deux méthodes complémentaires, ceci afin de faire les liens entre phase interactive et phase postactive. Dans cet article, après avoir détaillé le dispositif de formation, les auteurs exposent leurs démarches en les illustrant par le cas concret d’une future enseignante. (shrink)

An analysis of the counter-intuitive properties of infinity as understood differently in mathematics, classical physics and quantum physics allows the consideration of various paradoxes under a new light (e.g. Zeno’s dichotomy, Torricelli’s trumpet, and the weirdness of quantum physics). It provides strong support for the reality of abstractness and mathematical Platonism, and a plausible reason why there is something rather than nothing in the concrete universe. The conclusions are far reaching for science and philosophy.

Since the mid to late 1970s, the traditional paradigm of cognitive theory has been increasingly questioned in the fields of philosophy, psychology, cognitive science, and artificial intelligence. With the rise of embodied cognition, psychologists have begun to understand conceptual representation in terms of embodiment, emphasizing the role of the subject's sensorimotor system and bodily experience in conceptual representation. Although there is a large body of empirical research to support the theory of embodied cognition, it still fails to provide a reasonable (...) account of the representation of abstract concepts. Recent empirical studies have shown that concrete concepts and abstract concepts involve different forms of conceptual representation. Thus, it appears that the mechanism of concept representation is multiple. Although the multiple representation hypotheses have shown more plausibility and theoretical potential beyond the reach of embodied theory, there are still many problems with the theory that need further exploration. (shrink)

A concrete proposal is presented as to how semantics should be naturalized. Rather than attempting to naturalize propositions, they are treated as abstract entities that index concrete cognitive states. In turn the relevant concrete cognitive states are identified via perceptual classifications of worldly states, with the aid of an interactive theory of perception. The approach enables a broadly realist theory of propositions, truth and cognitive states to be preserved, with propositions functioning much as abstract mathematical (...) constructs do in the nonsemantic sciences, but with a much more specific propositional indexing scheme than previous naturalistic proposals were able to achieve. (shrink)