Metaphysical graphical structuralism is the view that at some fundamental level the world is a mathematical graph of nodes and edges. Randall Dipert has advanced a graphical structuralist theory of fundamental particulars and Alexander Bird has advanced a graphical structuralist theory of fundamental properties. David Oderberg has posed a powerful challenge to graphical structuralism: that it entails the absurd inexistence of the world or the absurd cessation of all change. In this paper I (...) defend graphical structuralism. A sharper formulation, some theorems about such structures, and careful attention to the interaction of metaphysical and mathematical features, shows that the absurdities depend on assumptions that are not essential to the view and brings to light a surprising fact about the necessary structure of fundamental properties. (shrink)

Causal structuralism is the view that, for each natural, non-mathematical, non-Cambridge property, there is a causal profile that exhausts its individual essence. On this view, having a property’s causal profile is both necessary and sufficient for being that property. It is generally contrasted with the Humean or quidditistic view of properties, which states that having a property’s causal profile is neither necessary nor sufficient for being that property, and with the double-aspect view, which states that causal profile is (...) necessary but not sufficient. Shoemaker’s (1998) and Hawthorne’s (2001) arguments in favor of causal structuralism primarily focus on problematic consequences of the other two views. I argue, however, that causation does not provide an appropriate framework within which to characterize all physical properties for two main reasons. First, there are physical properties that do not have causal profiles and properties whose causal profiles do not exhaust their essences. Second, there is no unified notion of causation across the sciences. After distinguishing between the causal and the nomological, I suggest that what is needed is a structuralist view of properties that is not merely causal but that incorporates a physical property’s higher-order mathematical and nomological properties into its identity conditions. Such a view retains the naturalistic motivations for causal structuralism while avoiding the problems it faces. (shrink)

Keränen (2001) raises an argument against realistic (ante rem) structuralism: where a mathematical structure has a non-trivial automorphism, distinct indiscernible positions within the structure cannot be shown to be non-identical using only the properties and relations of that structure. Ladyman (2005) responds by allowing our identity criterion to include 'irreflexive two-place relations'. I note that this does not solve the problem for structures with indistinguishable positions, i.e. positions that have all the same properties as each other and (...) exactly the same relations to all objects (including themselves). I conclude that realistic structuralists must compromise and treat some structures eliminativistically. (shrink)

Dispositional essentialists are typically committed to two claims: that properties are individuated by their causal role (‘causal structuralism’), and that natural necessity is to be explained by appeal to these causal roles (‘dispositional actualism’). I argue that these two claims cannot be simultaneously maintained; and that the correct response is to deny dispositional actualism. Causal structuralism remains an attractive position, but doesn’t in fact provide much support for dispositional essentialism.

I critically evaluate Bickle’s version of scientific theory reduction. I press three main points. First, a small point, Bickle modifies the new wave account of reduction developed by Paul Churchland and Clifford Hooker by treating theories as set-theoretic structures. But that structuralist gloss seems to lose what was distinctive about the Churchland-Hooker account, namely, that a corrected theory must be specified entirely by terms and concepts drawn from the basic reducing theory. Set-theoretic structures are not terms or concepts but the (...) structures that they describe. Second, and more serious, a familiar problem for classical positivist account of reduction resurfaces within this newest wave of thinking, namely, commitment to property identities and inter-theoretic bridge laws (a problem I discussed at more length in "Collapse of the New Wave"). Indeed, this problem is exacerbated by Bickle’s conciliatory treatment of property plasticity, since he is willing to grant that a large number of special science terms denote multiply realized properties, at least if realistically construed. Still, in the end, Bickle sidesteps the reduction of properties by appealing to Hooker’s "function-to-structure token reduction." This is an interesting move with an intriguing concept of reduction. But problems remain. For, third, Bickle and Hooker's function-to-structure token reduction is actually a guised form of eliminative materialism. But that should be unacceptable since the position extends well beyond any modest revisionism for suspect items from a folk theory, say, in folk psychology or folk biology. Instead, it applies to functional terms and concepts employed throughout well-developed and explanatorily successful sciences. (shrink)

I explore the possibility of a structuralist interpretation of homotopy type theory (HoTT) as a foundation for mathematics. There are two main aspects to HoTT's structuralist credentials. First, it builds on categorical set theory (CST), of which the best-known variant is Lawvere's ETCS. I argue that CST has merit as a structuralist foundation, in that it ascribes only structural properties to typical mathematical objects. However, I also argue that this success depends on the adoption of a strict typing system (...) which undermines the metaphysical seriousness of this structuralism. Homotopy type theory adds to CST a distinctive theory of identity between sets, which arguably allows its objects to be seen as ante rem structures. I examine the prospects for such a view, and address many other interpretive problems as they arise. (shrink)

From a modernist perspective, it may be difficult to ascribe graphics to any form of traditional African art. This could be due to the embrace of western values by Africans, and of modernity on the one hand, and the overwhelming negative influence of westernization on the diverse African cultural practices, on the other hand. However, many elements of the traditional art forms are imbued with icons and symbols which expressions may be viewed as graphical in nature. This paper looks (...) into the dynamics of graphics in the art of the traditional Ibibio society of Nigeria and attempts to appraise form and content. It is aimed at investigating the various symbolic applications in Ibibio traditional art forms and to establish the degree of graphics inter face with these art forms. The paper expounds the term graphics, identifies, and relates it to, salient properties of graphics in the art products of the traditional Ibibio society. It also examines the manner in which societal norms and social institutions are fundamental to the art forms proportionate to the communicative indices. The methodology for this study includes in situ study, formalism, iconographic studies and library research. The paper concludes that graphics is a crucial index in the arts of the traditional Ibibio society of Nigeria and, indeed, Africa. (shrink)

This study examines problems related to the representation of music. It constructs the sender/message/perceiver/result model, a prototype broad enough to incorporate a large variety of music and other notation systems, including those having to do with computers. The work defines music notation itself, describes various models for studying the subject--including the binary types prescriptive/descriptive, and symbolic/iconic--and assesses music notation as a contemporary practice. It encompasses a review of the actions and intentions of composers, performers, and audiences, and a consideration of (...) the message and how it is affected by media , reference systems , and meanings. Finally, through an examination of the possibilities of the self acting as a notation system within models posited by feminist and queer theory, I attempt to demonstrate the power of notation to affect other systems and worlds, including the worlds of music, art, and politics. ;The consideration of these topics draws on theories from linguistics, semiotics, structuralism, post-structuralism, cybernetics, and music, as well as the philosophies of John Cage, Jean-Jacques Nattiez, Nelson Goodman, and others. The work examines various languages and applications used to program computers for musical purposes, though this examination does not incorporate programs dedicated exclusively to printing music. Nor does the study focus on non-Western notations, suggestions for reforms of notation, or encyclopedic lists of notation devices. ;The expository writing is augmented by excerpts from material I gathered in numerous interviews. There are separate sections containing interviews of Leonard Meyer, Allan Kaprow, John Cage, Earle Brown, Roger Reynolds, and Heidi von Gunden. There is also a large, partially-annotated bibliography. ;My hope is that an inclusive, interdisciplinary exploration of music notation will be useful in broadening the theoretical and creative boundaries of the field, as well as bridging gaps among musicians using various music technologies, and artists and theorists from diverse fields and perspectives. (shrink)

All accepted proofs of the Four Colour Theorem (4CT) are computer-dependent; and appeal to the existence, and manual identification, of an ‘unavoidable’ set containing a sufficient number of explicitly defined configurations—each evidenced only by a computer as ‘reducible’—such that at least one of the configurations must occur in any chromatically distinguished, minimal, planar map. For instance, Appel and Haken ‘identified’ 1,482 such configurations in their 1977, computer-dependent, proof of 4CT; whilst Neil Robertson et al ‘identified’ 633 configurations as sufficient in (...) their 1997, also computer-dependent, proof of 4CT. However, treating any specific number of ‘reducible’ configurations in an ‘unavoidable’ set as sufficient entails a minimum number as necessary and sufficient. We now show that the minimum number of such configurations can only be the one corresponding to the ‘unavoidable’ set of a ‘reducible’, 4-sided configuration identified by Alfred Kempe in his, seemingly fatally flawed, 1879 ‘proof’ of 4CT. Although Kempe appealed to putative properties of ‘Kempe’ chains in a graphical representation to fallaciously argue that a 5-sided configuration was also in the ‘unavoidable’ set, and ‘reducible’, we shall show why the flaw in his ‘proof’ is not fatal when the argument is expressed geometrically; and that, essentially, Kempe correctly argued that any planar map which admits a chromatic differentiation with a five-sided area C that shares non-zero boundaries with four, all differently coloured, neighbours can be 4-coloured. (shrink)

What is structural rationality? Specifically, what is the distinctive feature of structural requirements of rationality? Some philosophers have argued, roughly, that the distinctive feature of structural requirements is coherence. But what does coherence mean, exactly? Or, at least, what do structuralists about rationality have in mind when they claim that structural rationality is coherence? This issue matters for making progress in various active debates concerning rationality. In this paper, I analyze three strategies for figuring out what coherence means in the (...) debates on structural rationality. I argue that these strategies face problems. (shrink)

This draft preprint presents a nine step argument for “Connectionist Structuralism” (CS), an account of the ontology of abstract objects that is neither purely nominalist nor purely platonist. CS is a common, often implicit assumption in parts of the artificial intelligence literature, but such discussions have not presented formal accounts of the position or engaged with metaphysical issues that potentially undermine it. By making the position legible and presenting an initial case for it, we hope to support a constructive (...) dialogue between AI researchers and philosophers of metaphysics that helps both sides to refine the position. -/- CS proposes that each abstract object we can draw on in human analysis corresponds to a particular subset of an individual person’s brain structure whose functionality is isomorphic to a subset of the nodes and connections in a suitable connectionist network. In other words, abstract objects are physically realised, but in individual brains, rather than only in the referent objects (pure nominalism) or in metaphysical universals (pure platonism). -/- This paper’s minimum claim is that CS can account for all abstract object predicables regarding sensible properties, such as “is red” or “is a square”. Using evidence from cognitive neuroscience, machine learning, and evolutionary biology, as well as a fully traceable toy example, we describe how CS can support our core cognitive uses of such sensible properties and can account for our core phenomenal experiences of them. In the former, CS provides sufficient albeit imperfect inferential safety, whose limitations are argued to strengthen rather than weaken the case for CS as describing human behaviour. In the latter, four target phenomenal features are accounted for – abstract objects as feeling intangible, non-located, transparent, and unchanging - along with accounts for further phenomena such as semantic refinement, the Stroop effect, synaesthesia, semantic clarity, sensory overload, and satiation. -/- Our minimum claim concerns the day-to-day usage and felt experience of abstract objects, but we suggest also an extended claim in which CS can form the basis of a pragmatic sufficient logic. As such, the initial outline of a response is provided for five common objections to positions that seek to ground abstract objects without reference to metaphysically stand-alone universals: referential opacity; identity of indiscernibles; infinite regression; non-physical concepts; and necessary truths. These outlines lay the foundation for (but do not seek to formally demonstrate) an extended CS account that addresses other abstract objects, including issues relating to their use in mathematics and formal logic. -/- The CS account leads to a four-layer hierarchy of similarity for whether your “red” is the same as mine. Considering both semantic and phenomenal similarity, we conclude that our “reds” are likely non-identical but can be made close enough for practical purposes. Finally, we describe how future work could elaborate CS as a metaphysical project and how confidence in it could be tested through empirical research. (shrink)

This paper argues that social trust is the emergent product of a complex system of property relations, backed up by a sub-system of mutual monitoring. This happens in a context similar to Ostrom’s commons, where cooperation is necessary for the management of resources, in the absence of external authorities to enforce sanctions. I show that social trust emerges in this context because of an institutional structure that enables individuals to develop a generalized disposition to internalize the external effects of their (...) actions. This is made possible by the “patrimonial” nature of this structure. (shrink)

The focus of the paper is the comparison between the two composite aluminum panels, respectively Alpolic and Durabond. The paper is going to explore their reaction when interacting with Tirana`s climatological factors and their tension strength through an experiment, in order to find out which panel displays the best performance. The construction urge is constantly evolving, especially in Tirana mostly because it is the main industrial and economical district of Albania. It is distinguished that innovative technology is being used in (...) facades of the new buildings. One of the features that finds massive use in façade coating in the city is the application of ventilated facades equipped with external aluminum composite panels. This paper is going to deal with two buildings with different typologies of external coating, including the different types of aluminum panels. The analysis will focus on identifying each panel property such as tension strength; their respond to various external factors; their thermal conductivity; and their manufacturing companies which have been selected and produced. Within this paper graphics displays of the records will be included, offering concentrated information and a high level of reliability for both aluminum composite panels. (shrink)

An important method for finding the optimal solution for linear and nonlinear models is the graphical method, which is used if the linear or nonlinear mathematical model contains one, two, or three variables. The models that contain only two variables are among the most models for which the optimal solution has been obtained graphically, whether these models are linear or non-linear in references and research that are concerned with the science of operations research, when the data of the issue (...) under study is classical data. In this research, we will present a study through, which we present the graphical method for solving Neutrosophical nonlinear models in the following case: A nonlinear programming issue, the objective function is a nonlinear function, and the constraints are linear functions. Note that we can use the same method if (i) the objective function follower is a linear follower and the constraints are nonlinear; (ii) the objective function is a non-linear follower and the constraints are non-linear. In the three cases, the nonlinear models are neutrosophic, and as we know, the mathematical model is a nonlinear model if any of the components of the objective function or the constraints are nonlinear expressions, and the nonlinear expressions may be in both. At the left end of the constraints are neutrosophic values, at least one or all of them. Then, the possible solutions to the neutrosophic nonlinear programming problem are the set of rays that fulfills all the constraints. As for the region of possible solutions, it is the region that contains all the rays that fulfill the constraints. The optimal solution is the beam that fulfills all constraints and at which the function reaches a maximum or minimum value, depending on the nature of the issue under study (noting that it is not necessary to be alone). (shrink)

This paper consists of an investigation of three debates concerning propositional identity: the tension between structured propositions and higher-order logic, the principle Only Logical Circles, and Kaplan’s Paradox. The literature at large has mistaken the consequences of each of these debates. Structuralists are not committed to the claim that identical properties have different extensions; rather, they are committed to existence monism. Only Logical Circles does not preclude the identification of green in terms of grue; some further (and, as of (...) yet, undisclosed) principle is required for that result. And Kaplan’s Paradox does not count against the possible-worlds conception of propositions; it applies to every account of propositions whatsoever. (shrink)

The linear programming method is one of the important methods of operations research that has been used to address many practical issues and provided optimal solutions for many institutions and companies, which helped decision makers make ideal decisions through which companies and institutions achieved maximum profit, but these solutions remain ideal and appropriate in If the conditions surrounding the work environment are stable, because any change in the data provided will affect the optimal solution and to avoid losses and achieve (...) maximum profit, we have, in previous research, reformulated the linear models using the concepts of neutrosophic science, the science that takes into account the instability of conditions and fluctuations in the work environment and leaves nothing to chance. While taking data, neutrosophic values carry some indeterminacy, giving a margin of freedom to decision makers. In another research, we reformulated one of the most important methods used to solve linear models, which is the simplex method, using the concepts of this science, and as a continuation of what we did in the previous two researches, we will reformulate in this research. The graphical method for solving linear models using the concepts of neutrosophics. We will also shed light on a case that is rarely mentioned in most operations research references, which is that when the difference between the number of unknowns and the number of constraints is equal to one, two, or three, we can also find the optimal solution graphically for some linear models. This is done by taking advantage of the conditions of non-negativity that linear models have, and we will explain this through an example in which the difference is equal to two. Also, through examples, we will explain the difference between using classical values and neutrosophic values and the extent of this’s impact on the optimal solution. (shrink)

Robustness has long been recognized as an important parameter for evaluating game-theoretic results, but talk of ‘robustness’ generally remains vague. What we offer here is a graphic measure for a particular kind of robustness (‘matrix robustness’), using a three-dimensional display of the universe of 2 × 2 game theory. In such a measure specific games appear as specific volumes (Prisoner’s Dilemma, Stag Hunt, etc.), allowing a graphic image of the extent of particular game-theoretic effects in terms of those games. The (...) measure also allows for an easy comparison between different effects in terms of matrix robustness. Here we use the measure to compare the robustness of Tit for Tat’s well-known success in spatialized games (Axelrod, R. (1984). The evolution of cooperation . New York: Basic Books; Grim, P. et al. (1998). The philosophical computer: Exploratory essays in philosophical computer modeling . Cambridge, Mass: MIT Press) with the robustness of a recent game-theoretic model of the contact hypothesis regarding prejudice reduction (Grim et al. 2005. Public Affairs Quarterly, 19 , 95–125). (shrink)

This paper investigates an alternative set theory (due to Peter Aczel) called Hyperset Theory. Aczel uses a graphical representation for sets and thereby allows the representation of non-well-founded sets. A program, called HYPERSOLVER, which can solve systems of equations defined in terms of sets in the universe of this new theory is presented. This may be a useful tool for commonsense reasoning.

Discovering high-level causal relations from low-level data is an important and challenging problem that comes up frequently in the natural and social sciences. In a series of papers, Chalupka etal. (2015, 2016a, 2016b, 2017) develop a procedure forcausal feature learning (CFL) in an effortto automate this task. We argue that CFL does not recommend coarsening in cases where pragmatic considerations rule in favor of it, and recommends coarsening in cases where pragmatic considerations rule against it. We propose a new technique, (...) pragmatic causal feature learning (PCFL), which extends the original CFL algorithm in useful and intuitive ways. We show that PCFL has the same attractive measure-theoretic properties as the original CFL algorithm. We compare the performance of both methods through theoretical analysis and experiments. (shrink)

Nominalists need some account of correctness for sentences committed to the existence of abstract objects. This paper proposes a new statement of such conditions specifically for properties. The account builds on an earlier proposal of mine, but avoids the counter-examples against the latter pointed out by Thomas Schindler, particularly, the sentence ‘There are inexpressible properties’. I argue that the new proposal is independently motivated and more faithful to the spirit of the kind of error-theoretic nominalism that the original (...) proposal was part of. Along the way, I also propose novel treatments of Arthur Pap’s and W.V.O. Quine’s notoriously hard-to-paraphrase sentences about abstracta. (shrink)

Previous work has shown that the Complex Conceptual Spaces − Single Observation Mathematical framework is a useful tool for event characterization. This mathematical framework is developed on the basis of Conceptual Spaces and uses integer linear programming to find the needed similarity values. The work of this paper is focused primarily on space event characterization. In particular, the focus is on the ranking of threats for malicious space events such as a kinetic kill. To make the Conceptual Spaces framework work, (...) the similarity values between the contents of observations on the one hand and the properties of the entities observed on the other needs to be found. This paper shows how to exploit Dempster-Shafer theory to implement a statistical approach for finding these similarities values. This approach will allow a user to identify the uncertainty involved in similarity value data, which can later be propagated through the developed mathematical model in order for the user to know the overall uncertainty in the observation-to-concept mappings needed for space event characterization. (shrink)

Structuralism can be defined as an important concept of using “units” as elements of form and space-giving, where the whole form is made not only up of a “texture”, a certain flexible grid, or an algorithm of shape-giving, but it depends also on the relationships created and how people use it. The hypothesis of this study is that “Modular Construction” can also have an aesthetically pleasing outlook and that modular housing can definitely have increasing importance in the future. Modular (...) housing due to its cheap, and manufactural way of construction can be replicable in various locations. Structuralism and Modular Construction have been at the core of the Modernist movement. Although postmodernism marked the decline of modular construction adopting methods known for a more close sense of place, vernacular, and locality, which differs from the ubiquitous model of modernism, it is the universality of space and habitation seen since the times of Hippodamus Grid, Japanese Tattami systems, and rational universal space in housing known in Europe that make grid and modular design an excellent system in obtaining, rationality, functionality, flexibility, and energy efficiency, including quick construction and possibility for replication. In this regard, modular construction has a future, especially in times of crisis and economic instability. (shrink)

This paper argues for deific perception, the idea that some perceptual experiences represent deific properties, as an explanation for a certain type of religious experience. Using Siegel's method of phenomenal contrast, a pair of experiences are compared: an ordinary perception of a black rose, and one where the rose seems imbued with religious significance. Intuitively, these have different phenomenologies. Deific perception posits that in the religiously-significant experience, a deific property like "being a creature of God" partly constitutes the visual (...) phenomenology. Rival explanations like differences in attention or cognitive penetration fail to account for the phenomenal contrast. Deific perception coheres with realism about religious properties and provides a naturalistic explanation of how some people directly sense the divine in nature. If valid, it suggests that with proper background beliefs and recognition capacities, perception can represent high-level deific properties, just as it may represent other abstract properties like natural kinds. The paper thus contributes to debates on the contents of perception and offers a sympathetic account of a class of numinous experiences. (shrink)

Is moral responsibility essentially historical, or does an agent's moral responsibility for an action depend only on their psychological structure at that time? In previous work, I have argued that the two main (non‐skeptical) views on moral responsibility and agents’ histories—historicism and standard structuralism—are vulnerable to objections that are avoided by a third option, namely history‐sensitive structuralism. In this paper, I develop this view in greater detail and evaluate the view by comparing it with its three dialectical rivals: (...) skepticism about moral responsibility, historicism, and standard structuralism. Each comparison includes discussion of new work on moral responsibility and agents’ histories, and along the way I offer new arguments for preferring history‐sensitive structuralism, paying special attention to the view's explanatory power. (shrink)

This essay argues that the Ancient Greek's tales of cannibalism were not really about cannibalism at all, but about more typically Greek issues (such as the transfer of political power, the guest-host relationship, the initiation of youths into adulthood, and so on). Cannibalism is rather the image used to designate the negative extremes of human behavior as conceived by the Hellenic world: social breakdown, barbarism, reversion to animality, and ultimately, the inability to live under the institution of the polis.

Changes that occurred in science in the second half of the twentieth century, led to the emergence of a number of Sciences, the subject of study of which requires the involvement of interdisciplinary methodology and theory of neuroscience, for example, neurobiology, neurolinguistics, neuroanthropology, neurophilosophy, neurophenomenology, etc. One of the features of modern anthropology is that the subject of its research involves an interdisciplinary dialogue, the involvement of methods and theories of socio-human and natural Sciences, which led to the formation of (...) neuroanthropology as a science. One of the trends in the development of neuroanthropological theory is the introduction of biogenetic structuralism in the field of research. The article is devoted to the analysis of the biogenetic structuralism as an example of an interdisciplinary dialogue in which transpersonal and phenomenological approaches are integrated in neuroanthropology. Appeal to the main areas ofneuroanthropologic research allows going beyond the framework of Cartesian dualism and considering issues of the relationship between body and mind in terms of an integrative approach. The biogenetic structuralist neurophenomenological theory is of great importance as a theoretical and methodological basis for cross-cultural studies of consciousness. (shrink)

Conservatives claim that all phenomenal properties are sensory. Liberals countenance non-sensory phenomenal properties such as what it’s like to perceive some high-level property, and what it’s like to think that p. A hallmark of phenomenal properties is that they present an explanatory gap, so to resolve the dispute we should consider whether experience has non-sensory properties that appear ‘gappy’. The classic tests for ‘gappiness’ are the invertibility test and the zombifiability test. I suggest that these tests (...) yield conflicting results: non-sensory properties lend themselves to zombie scenarios but not to inversion scenarios. Which test should we trust? Against Carruthers & Veillet (2011), I argue that invertibility is not a viable condition of phenomenality. In contrast, being zombifiable is credibly necessary and sufficient for phenomenality. I conclude that there are non-sensory properties of experience that are ‘gappy’ in the right way, and that liberalism is therefore the most plausible position. (shrink)

This paper introduces a novel object that has less structure than, and is ontologically prior to the natural numbers. As such it is a candidate model of the foundation that lies beneath the natural numbers. The implications for the construction of mathematical objects built upon that foundation are discussed.

In the pure powers ontology (PPO), basic physical properties have wholly dispositional essences. PPO has clear advantages over categoricalist ontologies, which suffer from familiar epistemological and metaphysical problems. However, opponents argue that because it contains no qualitative properties, PPO lacks the resources to individuate powers, and generates a regress. The challenge for those who take such arguments seriously is to introduce qualitative properties without reintroducing the problems that PPO was meant to solve. In this paper, I distinguish (...) the core claim of PPO: (i) basic physical properties have dispositional essences, from a hitherto unnoticed assumption: (ii) the dispositional essences of basic physical properties exclusively involve type-causal relations to other basic physical properties. I reject (ii), making room for a structuralist ontology in which all basic physical properties are pure powers, individuated by their places in a causal structure that includes not only other powers, but also physically realized qualitative properties such as shapes, patterns and structures. Such qualities individuate pure powers in the way that non-mental input and output properties individuate realized mental properties in functionalist theories of mind, except that here it is basic physical powers that are individuated by relations to realized non-powers. I distinguish one Platonic and two Aristotelian version of this theory, and argue that the Aristotelian versions require that grounding is not always a relative fundamentality relation, because the powers ground the qualities that individuate them. By considering ontic structural realism, I argue that symmetric grounding is the best way to make sense of relational individuation in structuralist ontologies, and is therefore no additional commitment of the one proposed here. (shrink)

In recent years, the science and the philosophy of consciousness has seen growing interest in structural questions about consciousness. This is the Editorial Introduction for a special volume for Philosophy and the Mind Sciences on “Structuralism in Consciousness Studies.”.

Cartesian arguments for global skepticism about the external world start from the premise that we cannot know that we are not in a Cartesian scenario such as an evil-demon scenario, and infer that because most of our empirical beliefs are false in such a scenario, these beliefs do not constitute knowledge. Veridicalist responses to global skepticism respond that arguments fail because in Cartesian scenarios, many or most of our empirical beliefs are true. Some veridicalist responses have been motivated using verificationism, (...) externalism, and coherentism. I argue that a more powerful veridicalist response to global skepticism can be motivated by structuralism, on which physical entities are understood as those that play a certain structural role. I develop the structuralist response and address objections. (shrink)

My interest in this chapter is to investigate this crossroad as applied to mental properties, considered powers. In particular, I scrutinize the possibility of taking the phenomenal property of feeling pain as a complex power or disposition. This possibility comes in handy in discussing panpsychism, the view that the ultimate elements of reality are phenomenal properties, which would ground physical properties as well.

Aristotle is essentially human; that is, for all possible worlds metaphysically consistent with our own, if Aristotle exists, then he is human. This is a claim about the essential property of an object. The claim that objects have essential properties has been hotly disputed, but for present purposes, we can bracket that issue. In this essay, we are interested, rather, in the question of whether properties themselves have essential properties (or features) for their existence. We call those (...) who suppose they do “property essentialists”; those who do not, “property anti-essentialists,” or “quidditists.” We offer two complementary arguments. Our total argument is under-girded by two assumptions: transworld identity theory and “received view” counterfactual semantics, a la David Lewis. We then argue that, if one presumes that these are true, then one risks running headlong into paradox if one also accepts property anti-essentialism. That's the first argument. By contrast, if one accepts these same assumptions in conjunction with property essentialism, then the paradox is avoided. This is the second argument. We take it that our arguments work to show that, between property essentialism and quidditism, the property essentialist is on better footing. Plausibly, properties themselves do have essential properties for their existence. (shrink)

This note corrects an error in my paper 'Normalisation and Subformula Property for a System of Classical Logic with Tarski's Rule' (Archive for Mathematical Logic 61 (2022): 105-129, DOI 10.1007/s00153-021-00775-6): Theorem 2 is mistaken, and so is a corollary drawn from it as well as a corollary that was concluded by the same mistake. Luckily this does not affect the main result of the paper.

Dispositionalism is the theory of modality that grounds all modal truths in powers: all metaphysically possible and necessary truths are to be explained by pointing to some actual power, or absence thereof. One of the main reasons to endorse dispositionalism is that it promises to deliver an especially desirable epistemology of modality. However, so far this issue has not be fully investigated with the care it is due. The aim of this paper is to fill this gap. We will cast (...) some doubts on whether the dispositionalist really is in a better position to explain our modal knowledge. In fact, we argue that there is a tension between some core tenets of a powers metaphysics and the very features that make dispositionalism the ideal backdrop for a desirable epistemology of modality. We conclude that this leaves dispositionalists who want to deliver the promised epistemology with a hard, currently unfulfilled, task. (shrink)

This paper considers a formalisation of classical logic using general introduction rules and general elimination rules. It proposes a definition of ‘maximal formula’, ‘segment’ and ‘maximal segment’ suitable to the system, and gives reduction procedures for them. It is then shown that deductions in the system convert into normal form, i.e. deductions that contain neither maximal formulas nor maximal segments, and that deductions in normal form satisfy the subformula property. Tarski’s Rule is treated as a general introduction rule for implication. (...) The general introduction rule for negation has a similar form. Maximal formulas with implication or negation as main operator require reduction procedures of a more intricate kind not present in normalisation for intuitionist logic. (shrink)

Defenders of intellectual property rights argue that these rights are justified because creators and inventors deserve compensation for their labour, because their ideas and expressions are their personal property and because the total amount of creative work and innovation increases when inventors and creators have a prospect of generating high income through the exploitation of their monopoly rights. This view is not only widely accepted by the general public, but also enforced through a very effective international legal framework. And it (...) is endorsed by most academic researchers and commentators in this field. In this essay, I will show that the classical arguments for the justification of private intellectual property rights can be contested, and that there are many good reasons to abolish intellectual property rights completely in favour of an intellectual commons where every person is allowed to use every cultural expression and invention in whatever way he wishes. I will first give a short overview of the classical arguments for the justification of intellectual property as they are usually stated. We will then discuss the question of whether the creator or inventor deserves his de jure monopoly, by using John Christman’s categories of income and control rights to analyse property rights. The aim here is to show that it does not make sense to create control rights for abstract objects, as they are not scarce, and that there is no logical connection between the surplus which may be generated through income rights and the labour which has been put into a cultural artefact or an invention, and therefore it is not justified to grant monopoly rights on the basis of Lockean natural rights arguments for self-ownership and the just appropriation of worldly resources. As it is possible to reject Christman’s property rights categories, I will then go on to show on the basis of Richard Dawkins’ postulation of the ‘meme’ and Ludwik Fleck’s theory of the ‘thought collective’ that creative processes should be interpreted as interpersonal or collective processes, and therefore it is not justified to grant intellectual property rights to individuals on the basis of the idea that the individual who has put labour into the creative work or the invention should be the one to whom the contents of the work belong exclusively. As it is still possible to postulate the utilitarian argument that intellectual property rights are just because they increase the amount of creative works and inventions, I will argue in the last chapter that, from a libertarian as well as from an egalitarian point of view, the justification of intellectual monopoly rights on utilitarian grounds cannot be maintained. Therefore it is time to abolish the current global intellectual property law regime in favour of an intellectual commons for the good of all human beings and societies. (shrink)

Nominalists are confronted with a grave difficulty: if abstract objects do not exist, what explains the success of theories that invoke them? In this paper, I make headway on this problem. I develop a formal language in which certain platonistic claims about properties and certain nominalistic claims can be expressed, develop a formal language in which only certain nominalistic claims can be expressed, describe a function mapping sentences of the first language to sentences of the second language, and prove (...) some facts about that function and facts about some sound logics for those languages. In doing so, I prove that, given some plausible metaphysical assumptions, a large class of sentences about properties of concrete objects are “safe” on nominalistic grounds. Whenever some true sentences about concrete objects and some sentences belonging to this class that are true according to platonists collectively entail a conclusion about concrete objects, some nominalistically acceptable sentences are true and entail the same conclusion. Because the proof can itself be formulated without abstract objects, it provides a nominalistic explanation of the success of theories that invoke properties of concrete objects. (shrink)

Moral perception has made something of a comeback in recent work on moral epistemology. Many traditional objections to the view have been argued to fail upon closer inspection. But it remains an open question just how far moral perception might extend. In this paper, I provide the beginnings of an answer to this question by assessing the relationship between the metaphysical structure of different normative properties and a plausible constraint on which properties are eligible for perceptual awareness which (...) I call the Counterfactual Strengthening Test. Along the way I consider and reject a few other possible constraints on perceptual awareness. I defend the view that moral perception is restricted to the perception of evaluative and pro tanto deontic properties. I conclude with a few gestures toward what this limitation on moral perception may mean for broader moral epistemology. (shrink)

Epistemic instrumentalists think that epistemic normativity is just a special kind of instrumental normativity. According to them, you have epistemic reason to believe a proposition insofar as doing so is conducive to certain epistemic goals or aims—say, to believe what is true and avoid believing what is false. Perhaps the most prominent challenge for instrumentalists in recent years has been to explain, or explain away, why one’s epistemic reasons often do not seem to depend on one’s aims. This challenge can (...) arguably be met. But a different challenge looms: instrumental reasons in the practical domain have various properties that epistemic reasons do not seem to share. In this chapter, we offer a way for epistemic instrumentalists to overcome this challenge. Our main thesis takes the form of a conditional: if we accept an independently plausible transmission principle of instrumental normativity, we can maintain that epistemic reasons in fact do share the relevant properties of practical instrumental reasons. In addition, we can explain why epistemic reasons seem to lack these properties in the first place: some properties of epistemic reasons are elusive, or easy to overlook, because we tend to think and talk about epistemic reasons in an ‘elliptical’ manner. (shrink)

Since Benacerraf’s ‘What Numbers Could Not Be, ’ there has been a growing interest in mathematical structuralism. An influential form of mathematical structuralism, modal structuralism, uses logical possibility and second order logic to provide paraphrases of mathematical statements which don’t quantify over mathematical objects. These modal structuralist paraphrases are a useful tool for nominalists and realists alike. But their use of second order logic and quantification into the logical possibility operator raises concerns. In this paper, I show (...) that the work of both these elements can be done by a single natural generalization of the logical possibility operator. (shrink)

This paper studies a formalisation of intuitionistic logic by Negri and von Plato which has general introduction and elimination rules. The philosophical importance of the system is expounded. Definitions of ‘maximal formula’, ‘segment’ and ‘maximal segment’ suitable to the system are formulated and corresponding reduction procedures for maximal formulas and permutative reduction procedures for maximal segments given. Alternatives to the main method used are also considered. It is shown that deductions in the system convert into normal form and that deductions (...) in normal form have the subformula property. (shrink)

A prominent version of mathematical structuralism holds that mathematical objects are at bottom nothing but "positions in structures," purely relational entities without any sort of nature independent of the structure to which they belong. Such an ontology is often presented as a response to Benacerraf's "multiple reductions" problem, or motivated on hermeneutic grounds, as a faithful representation of the discourse and practice of mathematics. In this paper I argue that there are serious difficulties with this kind of view: its (...) proponents rely on a distinction between "essential" and "nonessential" features of mathematical objects, and there's no good way to articulate this distinction which is compatible with basic structuralist commitments. But all is not lost. For I further argue that the insights motivating structuralism (or at least those worth preserving) can be preserved without formulating the view in ontologically committal terms. (shrink)

This paper examines the need for static dispositions within the basic ontology of the powers view of properties. To lend some focus, Neil Williams’s well developed case for static dispositions is considered. While his arguments are not necessarily intended to address fundamental ontology, they still provide a useful starting point, a springboard for diving into the deeper metaphysical waters of the dispositionalist approach. Within that ontological context, this paper contends that Williams’s arguments fail to establish the need to posit (...) static dispositions, or at least any sort not already well appreciated by advocates of the powers view. The paper then proceeds to suggest an alternative motivation for positing static dispositions, the success of which depends greatly on which ontological approach to objects is paired with the powers view. (shrink)

This paper argues that the new metaphysics of powers, also known as dispositional essentialism or causal structuralism, is an illusory metaphysics. I argue for this in the following way. I begin by distinguishing three fundamental ways of seeing how facts of physical modality — facts about physical necessitation and possibility, causation, disposition, and chance — are grounded in the world. The first way, call it the first degree, is that the actual world or all worlds, in their entirety, are (...) the source of physical modality. Humeanism is the best known such approach, but there are other less well-known approaches. The second way, the second degree, is that the source of physical modality lies in certain second-order facts, involving a relation between universals. Armstrong’s necessitarianism and other views are second-degree views. The third way, the third degree, holds that properties themselves are the source of physical modality. This is the powers view. I examine four ways of developing the third degree: relational constitution, graph-theoretic structuralism, dispositional roles, and powerful qualities. All these ways are either incoherent, or just disguised versions of the first-degree. The new metaphysics of powers is illusory. With the collapse of the third degree, the second degree, the necessitarian view of law, collapses as well. I end the paper with some reflections on the first degree, on the problem of explaining necessary connections between distinct existences, and on the dim prospects of holist ontology. (shrink)

Recent years have seen renewed interest in the emergence issue. The contemporary debate, in contrast with that of past times, has to do not so much with the mind–body problem as with the relationship between the physical and other domains; mostly with the biological domain. One of the main sources of this renewed interest is the study of complex and, in general, far-from-equilibrium self-preserving systems, which seem to fulfil one of the necessary conditions for an entity to be emergent; namely, (...) that its causal powers are not predictable from the causal powers of basic physical properties. However, I argue that much of the current emergentism debate has misfired by focusing on the interpretation of self-maintaining systems. In contrast, I claim that if we want to find emergent properties, we should look not at complex systems, but at selection (natural selection, in particular). I argue that selection processes make the causal world ‘exuberant’ by making non-physical functional and relational properties enter the causal web of the world. (shrink)

The paper lays the foundations for a duty of sustainable property use based on Kant’s Doctrine of Right. In doing so, it contributes to the project of extending the application of Kant’s philosophy to environmental issues so as to include his legal-political philosophy. After providing some context, focusing in particular on Kant’s property argument, I present and critically evaluate a recent argument for a duty of sustainable property use, put forward by Attila Ataner. Then, I draw on Reinhard Brandt’s and (...) Katrin Flikschuh’s interpretation of Kant’s permissive law in order to develop my own argument. According to my account, the duty of sustainable property use is rooted in Kant’s property argument, it is best construed in terms of interpersonal freedom, and it has a structure resembling that of duties of distributive justice. Unlike Ataner’s, my argument proceeds entirely within the domain of interpersonal freedom; it focuses clearly on the normative sense of usability; it does not overgenerate obligations; and it categorises the duty of sustainable property use within Kant’s taxonomy of duties. It thus constitutes a promising starting point to further investigate the connection between sustainability, Kant’s property argument and its use of a permissive law, and the Universal Principle of Right. (shrink)

This Thesis engages with contemporary philosophical controversies about the nature of dispositional properties or powers and the relationship they have to their non-dispositional counterparts. The focus concerns fundamentality. In particular, I seek to answer the question, ‘What fundamental properties suffice to account for the manifest world?’ The answer I defend is that fundamental categorical properties need not be invoked in order to derive a viable explanation for the manifest world. My stance is a field-theoretic view which describes (...) the world as a single system comprised of pure power, and involves the further contention that ‘pure power’ should not be interpreted as ‘purely dispositional’, if dispositionality means potentiality, possibility or otherwise unmanifested power or ability bestowed upon some bearer. The theoretical positions examined include David Armstrong’s Categoricalism, Sydney Shoemaker’s Causal Theory of Properties, Brian Ellis’s New Essentialism, Ullin Place’s Conceptualism, Charles Martin’s and John Heil’s Identity Theory of Properties and Rom Harré’s Theory of Causal Powers. The central concern of this Thesis is to examine reasons for holding a pure-power theory, and to defend such a stance. This involves two tasks. The first requires explaining what plays the substance role in a pure-power world. This Thesis argues that fundamental power, although not categorical, can be considered ontologically-robust and thus able to fulfil the substance role. A second task—answering the challenge put forward by Richard Swinburne and thereafter replicated in various neo-Swinburne arguments—concerns how the manifestly qualitative world can be explained starting from a pure-power base. The Light-like Network Account is put forward in an attempt to show how the manifest world can be derived from fundamental pure power. (shrink)

Drawing an analogy between modal structuralism about mathematics and theism, I o er a structuralist account that implicitly de nes theism in terms of three basic relations: logical and metaphysical priority, and epis- temic superiority. On this view, statements like `God is omniscient' have a hypothetical and a categorical component. The hypothetical component provides a translation pattern according to which statements in theistic language are converted into statements of second-order modal logic. The categorical component asserts the logical possibility of (...) the theism struc- ture on the basis of uncontroversial facts about the physical world. This structuralist reading of theism preserves objective truth-values for theistic statements while remaining neutral on the question of ontology. Thus, it o ers a way of understanding theism to which a naturalist cannot object, and it accommodates the fact that religious belief, for many theists, is an essentially relational matter. (shrink)

This paper argues for a theory of phenomenal intentionality (herein referred to as ‘Structuralism’), according to which perceptual experiences only possess intentional content when their phenomenal components are appropriately related to one another. This paper responds to the objections (i) that Structuralism cannot explain why some experiences have content while others do not, or (ii) why contentful experiences have the specific contents that they have. Against (i), I argue that to possess content, an experience must present itself as (...) an experience of something distinct from itself, and that only experiences whose components are suitably structured satisfy this requirement. Against (ii), I argue that Structuralists can provide a deeper explanation of perceptual content than other theories of phenomenal intentionality by showing how the content-determining relations among our experiences depend on the selection pressures under which our perceptual systems developed. (shrink)