Felix reaches up to catch a high line drive to left field and fires the ball off to Benji at home plate, who then tags the runner trying to score. For Felix to catch the ball and transfer it from his glove to his throwing hand, he needs to have a sense of where his hands are relative to one another and the rest of his body. This sort of information is subconsciously tracked in the body schema (or postural (...) schema), a representation of the current bodily posture that is updated on the basis of proprioceptive inputs. While the existence of the body schema in not in dispute, its origin is. After reviewing the competing proposals, I introduce the conceptual tools needed to move the debate forward and apply them to the question of the extent to which the body schema could be learned from perceptual input in utero. I argue that it could give rise to something recognizable as the body schema, though not quite rising to the level of the mature body schema. After considering the implications for further research on the origins of the body schema, I show how these results apply to other body representations, helping clarify the vexing question of the number, nature, and interactions among body representations in the brain. This theoretical work also promises to advance our understanding and treatment protocols for disorders affecting such body representations (e.g., anorexia nervosa). (shrink)

The mythical bronze creature Talos (Greek: Τάλως) was worshiped initially as the god of light or the sun in the Hellenic Island of Crete. He is supposed to have lived in the peak Kouloukona of the Tallaia Mountains in the Gerontospelio cave. His relation towards bronze and fire and his continuous voyage circling the island of Crete most probably introduces the concept of the change of the four seasons. The sun was considered in the area of the South-East Mediterranean nations (...) as just judge, a guardian who monitors and judges from above all the actions of the commoners, a controller for the faithful application of laws in Crete [1]. Hesychios in his Lexicon notes that talos means sun and that the name Tallaios was initially attributed to Zeus [2]. The birth of the Olympian gods forged a new Pantheon and nomenclature forcing some of the old gods to fell into lower deities. This happened to Talos who soon became a mythical hero [1]. According to Apollodorus, the bronze creature was forged by the magnificent constructor Hephaestus as a gift to the mythical King Minoa to help him guard the island [3]. Although the verb “peritrohazo” (Greek: περιτροχαζω) was used, meaning a movement in a steady orbit (track), some depictions image him as a winged being. To protect the island, he was throwing rocks into unknown ships or in the case of a foreign landing he was burning with fire or with his flamed bronze body the intruders. He was holding copper plates with the laws of the island and his circle allowed him to pass all island sores three times daily [1,4-6]. Plato, speaks of him as a real person, suggesting he was the brother of King Rhadamanthys, thus a son of Zeus [5]. Talos may be considered as the token of the Cretan power, a symbol of technological development in the field of metalworking in prehistoric and Minoan times. An animated, programmed gigantic android to enforce its will. A primitive robot for basic actions having a power source, fire and ichor (Greek: ιχώρ) the sacred fluid in the vessels of the gods. The first manufactured being with his individual intelligence, a primary concept of artificial intelligence (AI) [7]. -/- Homer was the first to introduce the term automata (Greek: αυτόματα), to describe ingenious machines built by the supreme blacksmith god of invention and technology, God of metal and fire, Hephaestus, manufactured devices “acting of one’s own will” as the Hellenic word indicates [8]. Eons later, the humanoid automaton the “Automa cavaliere” (English: Automaton knight) appeared in the court of the nobleman and Duke of Milan Ludovico Maria Sforza. It was the year 1495, when Leonardo da Vinci presented his robotic knight, an innovative construction operated by a series of pulleys and cables, presenting though no individual mind. Although it was manufactured by a highly intelligent polymath, it could only be operated through an outer intelligence [9]. Advancements made during the Fourth Industrial Revolution allowed modern technology to manufacture intelligent machines to aid the field of invasive surgery. One of those most sophisticated devises is the da Vince Surgical Tower. -/- Launched in the setting of the 21st century, the DaVinci System is one of the most commonly employed tools/systems, which has prevailed in the field of robotic-assisted surgery [10]. One could claim that it practically reshaped the concept of surgery, providing doctors with immense capabilities, aiming towards the optimal post-operative outcome. Through visual augmentation, high resolution 3D video, enhanced precision and reduced complication rates [11] the DaVinci Si and the latest DaVinci Xi system have been implemented in a variety of surgeries, including but not limited to general, urologic, gynecologic, thoracic and even cardiac procedures; valve and coronary artery bypass graft operations [12,13]. Da Vinci is cleared globally for cardiosurgery and came in vogue to fulfill the dream of cardiac surgeons to operate in closet chest. It offers in patients the same benefits as those that open chest incision surgery procedures do [14]. -/- The more recent DaVinci Xi model was introduced to counteract commonly known drawbacks of the Si system, such as the inability to simultaneously manipulate the different abdominal quadrants [10]. It consists of four boom mounted robotic arms along with a mobile platform and a master console. The latter with the adaptable intraocular distance, the cushioned headrest, the modifiable arm bars and the flexible finger loops, is meticulously designed to meet the surgeon´s “demands” [12]. Every robotic arm has three degrees of freedom, which combined with the EndoWrist technology to imitate the delicate motion of the surgeon´s hand, acquires an extra seven degrees of freedom. Evidently, the combination of the user-friendly interface, the high-quality 3D intraoperative images, the multiple joints and sensors, as well as the surgeon himself, who can learn to handle the DaVinci Xi Surgical System in a relatively short period of time, has established the model in the surgical armamentarium, paving the way towards a continuously progressive future of minimally invasive and robotic surgery (Figure 1) [12]. -/- History testifies that the nomination of the AI surgical tower as da Vinci was wrongfully given to commemorate a majestic historical figure. It is clear that the mythical creature Talos which was fabricated by the ingenious god Hephaestus was the first true automaton in the line of AI origins. (shrink)

Abstract— Waste Polyvinyl chloride-bitumen composites were prepared in the molten state by addition waste PVC pipes to commercial bitumen in different concentrations. The original material of the pure bitumen and bitumen composites are rheologically characterized. The viscoelastic properties such as shear compliance, torque and viscosity were measured and compared. These properties were studied using an ARES- Rheometer (Rheometric Scientific, Co.) equipment. The measurements were performed in the dynamic mode, plate-plate geometry of 25 mm diameter over the temperature range (...) from –10 to 60°C and angular frequency, varied from 102 to10-1 radian/s. The results are compared at reference temperatures10 and 60°C over a wide range of . The results evidence that the incorporation of the waste PVC into bitumen enhances the dynamic viscosity. The results evidence that the incorporation of the waste PVC into bitumen enhances the torque and the viscosity. So, the stability of the bitumen composites is more noticeable at 60°C. (shrink)

Abstract— Waste Polyvinyl chloride-bitumen composites were prepared in the molten state by addition waste PVC pipes to commercial bitumen in different concentrations. The original material of the pure bitumen and bitumen composites are rheologically characterized. The viscoelastic properties such as shear compliance, torque and viscosity were measured and compared. These properties were studied using an ARES- Rheometer (Rheometric Scientific, Co.) equipment. The measurements were performed in the dynamic mode, plate-plate geometry of 25 mm diameter over the temperature range (...) from –10 to 60°C and angular frequency, varied from 102 to10-1 radian/s. The results are compared at reference temperatures10 and 60°C over a wide range of . The results evidence that the incorporation of the waste PVC into bitumen enhances the dynamic mechanical moduli and the viscosity. The moduli were found to rise with increasing the waste PVC content. The stability of the bitumen blends is more noticeable at 60°C as confirmed by the results. (shrink)

Abstract: In this work, polystyrene/waste tires composites were prepared using the melt-mixing method. The viscoelastic properties of PS and PS/composite have been evaluated and compared. These properties were studied using ARES-Rheometer under nitrogen atmosphere in parallel plate geometry with diameter 8 mm. The measurements are carried out over a wide range of temperatures ranged from 120°C to 220°C and frequencies from 100 to 0.1 radians per second. The dynamic and complex viscosity of the PS composites were studied and compared (...) with those of unfilled PS. The results showed that the frequency,  is shifted from 0.46 to 0.072 radians/s and the value of dynamic viscosity increases from 5.0104 to 1.3105 Pa.s by the addition of the rubber for PS. Zero-shear viscosity, 0 was found to be increased from is 9.5104 for PS/waste tire composite to 4.5104 for PS. The flow activation energy is calculated from 0 by using the rheometric software to be 1.063 105 and 1.46 105 J/mol.K for Ps and PS composite, respectively. (shrink)

Abstract— Polystyrene/waste tires composites were prepared in this study by incorporating shredded waste tires into polydisperse polystyrene in a melt-mixing method. The dynamic mechanical properties of PS and PS/composite have been evaluated and compared. These properties were studied using ARES-Rheometer under nitrogen atmosphere in parallel plate geometry with diameter 8 mm. The measurements are carried out over a wide range of temperatures ranged from 120°C to 220°C and frequencies from 100 to 0.1 radians per second. The shear creep stress (...) J(t) and loss factor were studied and compared with those of unfilled PS. The dynamic mechanical properties and stability at elevated temperatures were found to increase with the addition of waste tires to PS as confirmed by the results. From the results, the value of J(t) modulus for PS/waste tire is higher than this for the original material of PS. The incorporation of the rubber to the PS changes the value of J(t) at 0.001 second from 5.610-6 to 3.710-6 Pa-1 for PS and PS/waste tire, respectively and this difference increases with time. This confirmed that PS/waste tire composite exhibits higher stability at 180°C for a long time than the original unfilled PS. At frequency  = 6.7102 radians/s , the value of tan increases about 20% by the incorporation of the rubber filler, due to the increase in the G'' modulus particularly at low frequencies in the flow regime. (shrink)

Abstract: Polystyrene/waste tires composites were prepared in this study by incorporating small particles of waste tires into polydisperse commercial polystyrene (PS) in a melt-mixing method. The dynamic mechanical properties of PS and PS/composite were studied using ARES-Rheometer under nitrogen atmosphere in parallel plate geometry with diameter 8 mm. The measurements were carried out over a wide range of temperatures ranged from 120°C to 220°C and frequencies from 100 to 0.1 radians per second. The shear compliance of PS composite were (...) studied and compared with those of unfilled PS. The shear compliance were studied and evaluated. Where the values of J' at  = 0.06 radians/s are 110-4 and 5.310-5 Pa-1 for PS and PS composite, respectively At  = 0.1 radians/s the addition of the rubber alters the value of J'' from 1.610-4 to 8.410-5 Pa-1. That means the stability of PS is enhanced by the incorporation of the rubber. (shrink)

Abstract: Waste polyvinylchloride (PVC) pipes were reused in the modification of commercially available bitumen. Waste PVC/ bitumen blends were prepared by melt-mixing method. Rheological characteristics of the neat bitumen and bitumen blends samples were investigated. The rheological properties were determined using an ARES- Rheometer (Rheometric Scientific, Co.) under nitrogen atmosphere in parallel plate geometry with diameter 25 mm. The measurements were performed over a wide range of temperatures ranged from -10°C to 60°C and frequencies from 100 to 0.1 radians (...) per second. Improvement in rheological properties. (shrink)

Abstract: In this work, polystyrene/waste tires composites were prepared by incorporating of waste tires into polydisperse commercial polystyrene in a melt-mixing method. The rheological characterization of PS and PS/composite have been studied and compared. These properties were studied using ARES-Rheometer under nitrogen atmosphere in parallel plate geometry with diameter 8 mm. The measurements are carried out over a wide range of temperatures ranged from 120°C to 220°C and frequencies from 100 to 0.1 radians per second. The complex modulus (G*) (...) were evaluated and compared with those of unfilled PS. The dynamic mechanical properties and stability at elevated temperatures were found to increase with the addition of waste tires to PS as confirmed by the results. The results showed that the value of G* at  = 1.0 radian/s is 1.8104 and 4.4104 Pa for PS and PS/waste tires, respectively. This difference rises at low frequencies-branch to be the value of G* at  = 0.06 radian/s is 8.8102 and 7.8103 Pa for PS and PS/waste tires, respectively. Generally G* increases by the addition of rubber as filler for PS . (shrink)

Waste polyethylene (PE) bags were reused in the modification of commercially available bitumen. The bitumen/PE blend was prepared by mixing homogenously commercial bitumen with waste PE in the molten state. The samples of bitumen blend and bitumen base were rheologically analyzied. The rheological properties such as complex modulus, shear compliance, torque and complex viscosity of bitumen and bitumen blend were studied using an ARES- Rheometer (Rheometric Scientific, Co.) in the dynamic mode, plate-plate geometry with diameter 8 mm. The (...) measurements were performed over a wide range of temperatures ranged from-10°C to 60°C and frequencies from 100 to 0.1 radians per second. The results evidence that the complex modulus, shear compliance, torque and viscosity are improved by the incorporation of the waste PE into bitumen. The flow activation energy for neat bitumen and bitumen-9%PE are calculated from 0 by using the rheometric software. (shrink)

This paper is concerned with two concepts of qualitativeness that apply to intensional entities. I propose an account of pure qualitativeness that largely follows the traditional understanding established by Carnap, and try to shed light on its ontological presuppositions. On this account, an intensional entity is purely qualitative iff it does not ‘involve’ any particular. An alternative notion of qualitativeness—which I propose to refer to as a concept of strict qualitativeness—has recently been introduced by Chad Carmichael. However, Carmichael’s definition presupposes (...) a highly fine-grained conception of properties and relations. To eliminate this presupposition, I tentatively suggest a different definition that rests on a concept of perspicuous denotation. In the penultimate section, both concepts of qualitativeness are put to work in distinguishing between different ‘grades’ of qualitative discriminability. (shrink)

Higher-order logic, with its type-theoretic apparatus known as the simple theory of types (STT), has increasingly come to be employed in theorizing about properties, relations, and states of affairs—or ‘intensional entities’ for short. This paper argues against this employment of STT and offers an alternative: ordinal type theory (OTT). Very roughly, STT and OTT can be regarded as complementary simplifications of the ‘ramified theory of types’ outlined in the Introduction to Principia Mathematica (on a realist reading). While STT, understood as (...) a theory of intensional entities, retains the Fregean division of properties and relations into a multiplicity of categories according to their adicities and ‘input types’ and discards the division of intensional entities into different ‘orders’, OTT takes the opposite approach: it retains the hierarchy of orders (though with some modifications) and discards the categorisation of properties and relations according to their adicities and input types. In contrast to STT, this latter approach avoids intensional counterparts of the Epimenides and related paradoxes. Fundamental intensional entities lie at the base of the proposed hierarchy and are also given a prominent part to play in the individuation of non-fundamental intensional entities. (shrink)

Following Kripke and Putnam, the received view of chemical kinds has been a microstructuralist one. To be a microstructuralist about chemical kinds is to think that membership in said kinds is conferred by microstructural properties. Recently, the received microstructuralist view has been elaborated and defended, but it has also been attacked on the basis of complexities, both chemical and ontological. Here, I look at which complexities really challenge the microstructuralist view; at how the view itself might be made more complicated (...) in order to accommodate such challenges; and finally, at what this increasingly complicated picture implies for our standard assessment of chemical kindhood—primarily, for the widespread assumption that chemical kinds in general are more neat and tidy than those messy biological ones. _1_ The Received View _2_ A Taxonomy of Chemical Kinds _3_ Atomic Number _4_ H2O, H3O+, OH−, and More _5_ Complicating the Microstructuralist Picture _6_ Concrete and Other Mixtures _7_ Macromolecules, Especially Proteins _8_ Abandoning Sameness of Elemental Composition _9_ Not So Different after All. (shrink)

There is a basic distinction, in the realm of spatial boundaries, between bona fide boundaries on the one hand, and fiat boundaries on the other. The former are just the physical boundaries of old. The latter are exemplified especially by boundaries induced through human demarcation, for example in the geographic domain. The classical problems connected with the notions of adjacency, contact, separation and division can be resolved in an intuitive way by recognizing this two-sorted ontology of boundaries. Bona fide boundaries (...) yield a notion of contact that is effectively modeled by classical topology; the analogue of contact involving fiat boundaries calls, however, for a different account, based on the intuition that fiat boundaries do not support the open/closed distinction on which classical topology is based. In the presence of this two-sorted ontology it then transpires that mereotopology—topology erected on a mereological basis—is more than a trivial formal variant of classical point-set topology. (shrink)

The New Evil Demon problem has been hotly debated since the case was introduced in the early 1980’s (e.g. Lehrer and Cohen 1983; Cohen 1984), and there seems to be recent increased interest in the topic. In a forthcoming collection of papers on the New Evil Demon problem (Dutant and Dorsch, forthcoming), at least two of the papers, both by prominent epistemologists, attempt to resist the problem by appealing to the distinction between justification and excuses. My primary aim here is (...) to critically evaluate this new excuse maneuver as a response to the New Evil Demon problem. -/- Their response attempts to give us reason to reject the idea that victims of the New Evil Demon have justification for believing as they do. I shall argue that this approach is ultimately unsuccessful, however much of value can be learned from these attempts. In particular, progress in the debate can be made by following those who advance the excuse maneuver and make explicit the connection between epistemic justification and epistemic norms. By doing so, the questions being debated are clarified, as is the methodology being used to attempt to answer them. (shrink)

The concept of niche (setting, context, habitat, environment) has been little studied by ontologists, in spite of its wide application in a variety of disciplines from evolutionary biology to economics. What follows is a first formal theory of this concept, a theory of the relations between objects and their niches. The theory builds upon existing work on mereology, topology, and the theory of spatial location as tools of formal ontology. It will be illustrated above all by means of simple biological (...) examples, but the concept of niche should be understood as being, like concepts such as part, boundary, and location, a structural concept that is applicable in principle to a wide range of different domains. (shrink)

This article discusses the adequacy of Rawls’ theory of justice as a tool for racial justice. It is argued that critics like Charles W Mills fail to appreciate both the insights and limits of the Rawlsian framework. The article has two main parts spread out over several different sections. The first is concerned with whether the Rawlsian framework suffices to prevent racial injustice. It is argued that there are reasons to doubt whether it does. The second part is concerned with (...) whether a Rawlsian framework has the resources to rectify past racial injustice. It is argued that it has more resources to do this than Mills allows. This second part of the article centers on two Rawlsian ideas: ideal theory and the fair equality of opportunity principle. It is argued that ideal theory is essential for the kind of rectificatory work that Mills wants nonideal theory to do, and that where there is a socioeconomic legacy of past injustice, it is hard to see how FEO could be implemented if it did no rectificatory work, a result which means that there is less need to turn to nonideal theory at all. (shrink)

Neutral monism is a position in metaphysics defended by Mach, James, and Russell in the early twentieth century. It holds that minds and physical objects are essentially two different orderings of the same underlying neutral elements of nature. This paper sets out some of the central concepts, theses and the historical background of ideas that inform this doctrine of elements. The discussion begins with the classic neutral monism of Mach, James, and Russell in the first part of the paper, then (...) considers recent neo-Russellian versions in the second half. The chances for a revival of neutral monism are probably slight; its key ideas and starting points lie far from those in contemporary philosophy of mind. A better route might be through the philosophy of science and a deeper understanding of causation. (shrink)

In his latest book, Michael Devitt rejects Chomsky’s mentalist conception of linguistics. The case against Chomsky is based on two principal claims. First, that we can separate the study of linguistic competence from the study of its outputs: only the latter belongs to linguistic inquiry. Second, Chomsky’s account of a speaker’s competence as consisiting in the mental representation of rules of a grammar for his language is mistaken. I shall argue, first, that Devitt fails to make a case for separating (...) the study of outputs from the study of competence, and second, that Devitt mis-characterises Chomsky’s account of competence, and so his objections miss their target. Chomsky’s own views come close to a denial that speaker’s have knowledge of their language. But a satisfactory account of what speakers are able to do will need to ascribe them linguistic knowledge that they use to speak and understand. I shall explore a conception of speaker’s knowledge of language that confirrns Chomsky’s mentalist view of linguistics but which is immune to Devitt’s criticism. (shrink)

Are there any bona fide boundaries, i.e., boundaries that carve at the joints? Or is any boundary —hence any object—the result of a fiat articulation reflecting our cognitive biases and our so-cial practices and conventions? Does the choice between these two options amount to a choice between realism and wholesome relativism?

In previous work I have argued that talk about negative events should not be taken at face value: typically, what we are inclined to think of as a negative event (John’s failure to go jogging) is just an ordinary, positive event (his going to the movie instead); it is a positive event under a negative description. Here I consider more closely the difficulties that arise in those cases where no positive event seems available to do the job, as with putative (...) cases of causation by omission. In particular, I elaborate on Helen Beebee’s idea that not all causal explanations are reports of causation. When we mention John’s failure to turn off the gas as an explanans of why there was an explosion, we do not say what caused the explosion. We do not mention any of the relevant causes. We just remark that one sort of event that was supposed to occur, and whose occurrence would have prevented the explosion, did not in fact occur. (shrink)

In this introduction, before summarizing the contents of the volume, the authors characterize materialism as it is understood within the philosophy of mind, and they identify three respects in which materialism is on the wane.

These essays draw on work in the history and philosophy of science, the philosophy of mind and language, the development of concepts in children, conceptual..

This paper presents an account of what it is for a property or relation (or ‘attribute’ for short) to be logically simple. Based on this account, it is shown, among other things, that the logically simple attributes are in at least one important way sparse. This in turn lends support to the view that the concept of a logically simple attribute can be regarded as a promising substitute for Lewis’s concept of a perfectly natural attribute. At least in part, the (...) advantage of using the former concept lies in the fact that it is amenable to analysis, where that analysis—i.e., the account put forward in this paper—requires the adoption neither of an Armstrongian theory of universals nor of a primitive notion of naturalness, fundamentality, or grounding. (shrink)

Classically, gratitude is a tri-polar construal, logically ordering a benefactor, a benefice, and a beneficiary in a favour-giving-receiving situation. Grammatically, the poles are distinguished and bound together by the prepositions ”to’ and ”for’; so I call this classic concept ”to-for’ gratitude. Classic religious gratitude follows this schema, with God as the benefactor. Such gratitude, when felt, is a religious experience, and a reliable readiness or ”habit’ of such construal is a religious virtue. However, atheists have sometimes felt an urge or (...) need for an analogous experience and virtue of gratitude, and theists sometimes feel intellectual discomfort with classical theistic gratitude on consideration of the misfortunes that characterize our life along with its blessings. In response, another conception of religious gratitude has been attempted, a construal that lacks the to-for structure. This paper probes the significance of the benefactor for gratitude, both secular and religious, and, with Søren Kierkegaard’s help, some features of the theology of classical religious gratitude that dissolve the problem of misfortunes. (shrink)

Building on Peter French’s important work, this chapter draws three distinctions that arise in the context of attributions of moral responsibility, understood as the extent to which an agent is blameworthy or praiseworthy. First, the subject of an attribution of responsibility may be an individual agent or a collective agent. Second, the object of the responsibility attribution may be an individual action (or consequence) or a collective action (or consequence). The third distinction concerns the temporal dimension of the responsibility attribution. (...) Sometimes responsibility for an action is attributed to an agent at the time of the action. At other times responsibility for an action is attributed to an agent sometime after the action has taken place. Taken together, these three binary distinctions yield eight types of responsibility attribution. It is argued that a collective agent’s responsibility for a past collective act is properly understood on the same theoretical model as is an individual’s responsibility for a past individual act. While most assume that responsibility over time is a straightforward matter of identity over time, it is argued that instead this is a matter of psychological or attitudinal connectedness. The possibility is considered that this relation also grounds attributions involving an asymmetry between subject and object, such as individual responsibility for past collective action, but a skeptical worry is raised that such attributions entail an unpalatable form of moral luck and should therefore be rejected. (shrink)

A common view among nontheists combines the de jure objection that theism is epistemically unacceptable with agnosticism about the de facto objection that theism is false. Following Plantinga, we can call this a “proper” de jure objection—a de jure objection that does not depend on any de facto objection. In his Warranted Christian Belief, Plantinga has produced a general argument against all proper de jure objections. Here I first show that this argument is logically fallacious (it makes subtle probabilistic fallacies (...) disguised by scope ambiguities), and proceed to lay the groundwork for the construction of actual proper de jure objections. (shrink)

Certain advocates of the so-called “neo-logicist” movement in the philosophy of mathematics identify themselves as “neo-Fregeans” (e.g., Hale and Wright), presenting an updated and revised version of Frege’s form of logicism. Russell’s form of logicism is scarcely discussed in this literature and, when it is, often dismissed as not really logicism at all (in light of its assumption of axioms of infinity, reducibility and so on). In this paper I have three aims: firstly, to identify more clearly the primary meta-ontological (...) and methodological differences between Russell’s logicism and the more recent forms; secondly, to argue that Russell’s form of logicism offers more elegant and satisfactory solutions to a variety of problems that continue to plague the neo-logicist movement (the bad company objection, the embarrassment of richness objection, worries about a bloated ontology, etc.); thirdly, to argue that neo-Russellian forms of logicism remain viable positions for current philosophers of mathematics. (shrink)

A many-faceted beast, the metaphysics of relations can be approached from many angles. One could begin with the various ways in which relational states are expressed in natural language. If a more historical treatment is wanted, one could begin with Plato, Aristotle, or Leibniz. In the following, I will approach the topic by first drawing on Russell’s Principles of Mathematics (1903) (still a natural-enough starting point), and then turn to a discussion mainly of positionalism. The closing section contains an overview (...) of the six contributions to this Special Issue. (shrink)

Certain commentators on Russell's “no class” theory, in which apparent reference to classes or sets is eliminated using higher-order quantification, including W. V. Quine and (recently) Scott Soames, have doubted its success, noting the obscurity of Russell’s understanding of so-called “propositional functions”. These critics allege that realist readings of propositional functions fail to avoid commitment to classes or sets (or something equally problematic), and that nominalist readings fail to meet the demands placed on classes by mathematics. I show that Russell (...) did thoroughly explore these issues, and had good reasons for rejecting accounts of propositional functions as extra-linguistic entities. I argue in favor of a reading taking propositional functions to be nothing over and above open formulas which addresses many such worries, and in particular, does not interpret Russell as reducing classes to language. (shrink)

Klein’s account of epistemic justification, infinitism, supplies a novel solution to the regress problem. We argue that concentrating on the normative aspect of justification exposes a number of unpalatable consequences for infinitism, all of which warrant rejecting the position. As an intermediary step, we develop a stronger version of the ‘finite minds’ objection.

Russell discovered the classes version of Russell's Paradox in spring 1901, and the predicates version near the same time. There is a problem, however, in dating the discovery of the propositional functions version. In 1906, Russell claimed he discovered it after May 1903, but this conflicts with the widespread belief that the functions version appears in _The Principles of Mathematics_, finished in late 1902. I argue that Russell's dating was accurate, and that the functions version does not appear in the (...) _Principles_. I distinguish the functions and predicates versions, give a novel reading of the _Principles_, section 85, as a paradox dealing with what Russell calls _assertions_, and show that Russell's logical notation in 1902 had no way of even formulating the functions version. The propositional functions version had its origins in the summer of 1903, soon after Russell's notation had changed in such a way as to make a formulation possible. (shrink)

In their correspondence in 1902 and 1903, after discussing the Russell paradox, Russell and Frege discussed the paradox of propositions considered informally in Appendix B of Russell’s Principles of Mathematics. It seems that the proposition, p, stating the logical product of the class w, namely, the class of all propositions stating the logical product of a class they are not in, is in w if and only if it is not. Frege believed that this paradox was avoided within his philosophy (...) due to his distinction between sense (Sinn) and reference (Bedeutung). However, I show that while the paradox as Russell formulates it is ill-formed with Frege’s extant logical system, if Frege’s system is expanded to contain the commitments of his philosophy of language, an analogue of this paradox is formulable. This and other concerns in Fregean intensional logic are discussed, and it is discovered that Frege’s logical system, even without its naive class theory embodied in its infamous Basic Law V, leads to inconsistencies when the theory of sense and reference is axiomatized therein. (shrink)

The positions of Frege, Russell and Wittgenstein on the priority of complexes over (propositional) functions are sketched, challenging those who take the "judgment centered" aspects of the Tractatus to be inherited from Frege not Russell. Frege's views on the priority of judgments are problematic, and unlike Wittgenstein's. Russell's views on these matters, and their development, are discussed in detail, and shown to be more sophisticated than usually supposed. Certain misreadings of Russell, including those regarding the relationship between propositional functions and (...) universals, are exposed. Wittgenstein's and Russell's views on logical grammar are shown to be very similar. Russell's type theory does not countenance types of genuine entities nor metaphysical truths that cannot be put into words, contrary to conventional wisdom. I relate this to the debate over "inexpressible truths" in the Tractatus. I lastly comment on the changes to Russell's views brought about by Wittgenstein's influence. (shrink)

Sequel to Part I. In these articles, I describe Cantor’s power-class theorem, as well as a number of logical and philosophical paradoxes that stem from it, many of which were discovered or considered (implicitly or explicitly) in Bertrand Russell’s work. These include Russell’s paradox of the class of all classes not members of themselves, as well as others involving properties, propositions, descriptive senses, class-intensions and equivalence classes of coextensional properties. Part II addresses Russell’s own various attempts to solve these paradoxes, (...) including strategies that he considered and rejected (limitation of size, the zigzag theory, etc.), as well as his own final views whereupon many purported entities that, if reified, lead to these contradictions, must not be genuine entities, but ‘logical fictions’ or ‘logical constructions’ instead. (shrink)

Aristotle’s cryptic De Anima III 5 has precipitated an enormous volume of commentary, especially about the identity of what has come to be known as active intellect and how it relates to potential intellect. Some take active intellect to be the prime mover of Metaphysics Λ, others a hypostatic or cosmic principle (for example, an ideal Intellect, intellect associated with the tenth celestial sphere, etc.), and others a faculty, potentiality, or power of the human soul that is distinct in function, (...) office, or operation from potential intellect. But a very different, ontologically lightweight way of characterizing active and potential intellect can be reconstructed from fragments of a work by the only interpreter personally acquainted with Aristotle, his junior colleague, Theophrastus of Eresus. This reconstruction suggests various philosophically attractive solutions to notorious problems raised by Aristotle’s text. (shrink)

Berkeley, Hume, and Russell rejected the traditional analysis of substances in terms of qualities which are supported by an "unknowable substratum." To them the proper alternative seemed obvious. Eliminate the substratum in which qualities are alleged to inhere, leaving a bundle of coexisting qualities--a view that we may call the Bundle Theory or BT. But by rejecting only part of the traditional substratum theory instead of replacing it entirely, Bundle Theories perpetuate certain confusions which are found in the Substratum Doctrine. (...) I examine two major types of BT developed by Russell and by G. F. Stout with the intention of showing that (1) the seemingly innocuous concept of "a quality" employed by these versions cannot be used to state their theories coherently, and (2) the fatal problems that the BT encounters point to a more satisfactory and interesting alternative to both the Substratum Doctrine and the BT. This is a view that I call the Qualified Particulars Theory. In a final section I draw morals from this discussion that apply to the analogous Humean view that a mind is a "bundle of perceptions and sensations.". (shrink)

This is a response to Macleod 2012's argument that the history of unjust property acquisitions requires rich libertarians to give away everything in excess of equality. At first, problematic questions are raised. How much property is usually inherited or illegitimate? Why should legitimate inheritance be affected? What of the burden of proof and court cases? A counterfactual problem is addressed. Three important cases are considered: great earned wealth; American slavery; land usurpation. All are argued to be problematic for Macleod 2012's (...) thesis. Various problems are explained concerning using the Nozickian argument to decide the alleged excess that rich libertarians own. The essay's main error is the presupposition that free markets do not help the worst-off. The majority of unjust holdings today are not the result of historical injustices but arise through continuing transfers enabled by taxation and state-regulation. More study of libertarian contributions to the social sciences and philosophy would appear to be desirable "personal behavior" among socialists. (shrink)

In these articles, I describe Cantor’s power-class theorem, as well as a number of logical and philosophical paradoxes that stem from it, many of which were discovered or considered (implicitly or explicitly) in Bertrand Russell’s work. These include Russell’s paradox of the class of all classes not members of themselves, as well as others involving properties, propositions, descriptive senses, class-intensions, and equivalence classes of coextensional properties. Part I focuses on Cantor’s theorem, its proof, how it can be used to manufacture (...) paradoxes, Frege’s diagnosis of the core difficulty, and several broad categories of strategies for offering solutions to these paradoxes. (shrink)

Attempts to evaluate a belief or argument on the basis of its cause or origin are usually condemned as committing the genetic fallacy. However, I sketch a number of cases in which causal or historical factors are logically relevant to evaluating a belief, including an interesting abductive form that reasons from the best explanation for the existence of a belief to its likely truth. Such arguments are also susceptible to refutation by genetic reasoning that may come very close to the (...) standard examples given of supposedly fallacious genetic reasoning. (shrink)

ABSTRACT This essay focuses on two underlying presumptions that impinge on the effort of UNESCO to engender universal agreement on a set of bioethical norms: the conception of universality that pervades much of the document, and its disregard of structural inequalities that significantly impact health. Drawing on other UN system documents and recent feminist bioethics scholarship, we argue that the formulation of universal principles should not rely solely on shared ethical values, as the draft document affirms, but also on differences (...) in ethical values that obtain across cultures. UNESCO's earlier work on gender mainstreaming illustrates the necessity of thinking from multiple perspectives in generating universal norms. The declaration asserts the ‘fundamental equality of all human beings in dignity and rights’1 and insists that ‘the highest attainable standard of health is one of the fundamental rights of every human being without distinction of race, religion, political belief, economic or social condition’2 yet it does not explicitly recognize disparities of power and wealth that deny equal dignity and rights to many. Without attention to structural (as opposed to merely accidental) inequities, UNESCO's invocation of rights is so abstract as to be incompatible with its avowed intention. (shrink)

The paper presents a paradoxical feature of computational systems that suggests that computationalism cannot explain symbol grounding. If the mind is a digital computer, as computationalism claims, then it can be computing either over meaningful symbols or over meaningless symbols. If it is computing over meaningful symbols its functioning presupposes the existence of meaningful symbols in the system, i.e. it implies semantic nativism. If the mind is computing over meaningless symbols, no intentional cognitive processes are available prior to symbol grounding. (...) In this case, no symbol grounding could take place since any grounding presupposes intentional cognitive processes. So, whether computing in the mind is over meaningless or over meaningful symbols, computationalism implies semantic nativism. (shrink)

It is well known that the circumflex notation used by Russell and Whitehead to form complex function names in Principia Mathematica played a role in inspiring Alonzo Church's “lambda calculus” for functional logic developed in the 1920s and 1930s. Interestingly, earlier unpublished manuscripts written by Russell between 1903–1905—surely unknown to Church—contain a more extensive anticipation of the essential details of the lambda calculus. Russell also anticipated Schönfinkel's combinatory logic approach of treating multiargument functions as functions having other functions as value. (...) Russell’s work in this regard seems to have been largely inspired by Frege’s theory of functions and “value-ranges”. This system was discarded by Russell due to his abandonment of propositional functions as genuine entities as part of a new tack for solving Russell’s paradox. In this article, I explore the genesis and demise of Russell’s early anticipation of the lambda calculus. (shrink)

An important source of doubt about our knowledge of the "external world" is the thought that all of our sensory experience could be delusive without our realizing it. Such wholesale questioning of the deliverances of all forms of perception seems to leave no resources for successfully justifying our belief in the existence of an objective world beyond our subjective experiences. I argue that there is there is a fatal flaw in the very expression of philosophical doubt about the "external world." (...) Therefore, no such justification is necessary. The feature of skepticism which I believe renders it vulnerable is the assumption that each of us has a right to be certain of his own existence as a subject of conscious experience even in the face of comprehensive doubt about our empirical beliefs. (shrink)

En este breve ensayo me interesa analizar el concepto de lenguaje privado desarrollado por Ludwig Wittgenstein. La importancia radica en el desafío que plantea esta noción cuando nos ponemos a pensar sobre las posibilidades reales de un lenguaje puramente privado. En este sentido, el argumento del enfoque wittgensteiniano sostiene que el significado de las palabras no se origina en experiencias subjetivas individuales, sino en la interacción social dentro de una comunidad de hablantes. De modo que, si cada persona tuviera un (...) lenguaje exclusivamente privado, la comunicación sería imposible. Por ello, el objetivo de este escrito se centra en debatir si efectivamente el lenguaje es un fenómeno colectivo, arraigado en prácticas compartidas y acuerdos tácitos, o bien, puede tratarse de una construcción personal subjetiva. En síntesis, para examinar este planteo me centraré en el argumento propuesto por Kripke contra el lenguaje privado, y desde allí, analizaré la paradoja escéptica de Wittgenstein. (shrink)

Analytic epistemologists agree that, whatever else is true of epistemic justification, it is distinct from knowledge. However, if recent work by Jonathan Sutton is correct, this view is deeply mistaken, for according to Sutton justification is knowledge. That is, a subject is justified in believing that p iff he knows that p. Sutton further claims that there is no concept of epistemic justification distinct from knowledge. Since knowledge is factive, a consequence of Sutton’s view is that there are no false (...) justified beliefs. <br> Following Sutton, I will begin by outlining kinds of beliefs that do not constitute knowledge but that seem to be justified. I will then be in a position to critically evaluate Sutton’s arguments for his position that justification is knowledge, concluding that he fails to establish his bold thesis. In the course of so doing, I will defend the following rule of assertion: (The JBK-rule) One must: assert p only if one has justification to believe that one knows that p.<br>. (shrink)