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)

Data security is, protecting data from ill- conceived get to, utilize, introduction, intrusion, change, examination, recording or destruction. Cloud computing is a sort of Internet-based computing that grants conjoint PC handling resources and information to PCs what's more, different gadgets according to necessity. It is a model that empowers universal, on-request access to a mutual pool of configurable computing resources. At present, security has been viewed as one of the best issues in the improvement of Cloud Computing. The key issue (...) in effective execution of Cloud Computing is to adequately deal with the security in the cloud applications. This paper talks about the part of cryptography in cloud computing to improve the data security. The expectation here is to get bits of knowledge another security approach with the usage of cryptography to secure information at cloud data centers. (shrink)

The present research used archaeological data, i.e., the data obtained from kamekan jar burials in the Mikuni Hills of the northern Kyushu area in the Mid- dle Yayoi period, to test the parochial altruism model. This model argued that out-group hate and in-group favor coevolved via prehistoric intergroup conflicts. If this model is accurate, such an out-group hate and in-group favor could be re- flected in the archaeological remains, such as pottery making; the more frequent intergroup conflicts are and the (...) more each group is opposed, the more independent and coherent each group will be and more evident cultural identity could be estab- lished within each group. We employed an elliptic Fourier analysis for the shapes of kamekan jar burials. We examined whether frequent intergroup conflicts in the period influenced kamekan jar pottery between subareas of the Mikuni Hills. The results suggested that the shapes of kamekan jar burials after the KIIIa type are slightly different between subareas, which is partially consistent with the model. However, the results do not support the model directly. (shrink)

This paper aims to construct a new formula that generates a generalized version of congruent numbers based on a generalized version of Pythagorean triples. Here, an elliptic curve equation is constructed from the derived generalized version of Pythagorean triples and congruent numbers and gives some new results.

We show in this paper that the answer to the question in the title is in the negative. In modern optics, Snell’s law of reflection is derived using Leibniz’s calculus method that identifies the least time path, chosen by rays of light in going from a given point A, to another given point B, undergoing reflection at a point P on their way. We demonstrate, taking two examples of reflection: (1) at a plane reflector and (2) at elliptical reflector, (...) that Snell’s law of reflection is not a consequence of least time path principle and, that Leibniz’s method of derivation of Snell’s law of reflection is invalid. In (1), we prove that, if a light ray is reflected at point P on a line, along the least time path APB, then at every point Pi on that line, rays from A are reflected to point B, satisfying Snell’s law. However, paths, APB and APiB do not have equal travel times. In (2), we prove that, if a light ray is reflected along the least time path APB, from focus A to focus B incident at point P on an ellipse, satisfies Snell’s law, then points Pi, not lying on the ellipse, also reflect light rays from A to B, satisfying Snell’s law. However, the paths APB and APiB do not have equal travel times. Thus, both examples prove that least time path is not a criterion for reflection and, that Snell’s law of reflection is not a consequence of least time path principle. (shrink)

The ontic conception of scientific explanation has been constructed and motivated on the basis of a putative lexical ambiguity in the term explanation. I raise a puzzle for this ambiguity claim, and then give a deflationary solution under which all ontically-rendered talk of explanation is merely elliptical; what it is elliptical for is a view of scientific explanation that altogether avoids the ontic conception. This result has revisionary consequences for New Mechanists and other philosophers of science, many of (...) whom have assimilated their conception of explanation to the ontic conception. (shrink)

Arguably the most foundational principle in perception research is that our experience of the world goes beyond the retinal image; we perceive the distal environment itself, not the proximal stimulation it causes. Shape may be the paradigm case of such “unconscious inference”: When a coin is rotated in depth, we infer the circular object it truly is, discarding the perspectival ellipse projected on our eyes. But is this really the fate of such perspectival shapes? Or does a tilted coin retain (...) an elliptical appearance even when we know it’s circular? This question has generated heated debate from Locke and Hume to the present; but whereas extant arguments rely primarily on introspection, this problem is also open to empirical test. If tilted coins bear a representational similarity to elliptical objects, then a circular coin should, when rotated, impair search for a distal ellipse. Here, nine experiments demonstrate that this is so, suggesting that perspectival shapes persist in the mind far longer than traditionally assumed. Subjects saw search arrays of three-dimensional “coins,” and simply had to locate a distally elliptical coin. Surprisingly, rotated circular coins slowed search for elliptical targets, even when subjects clearly knew the rotated coins were circular. This pattern arose with static and dynamic cues, couldn’t be explained by strategic responding or unfamiliarity, generalized across shape classes, and occurred even with sustained viewing. Finally, these effects extended beyond artificial displays to real-world objects viewed in naturalistic, full-cue conditions. We conclude that objects have a remarkably persistent dual character: their objective shape “out there,” and their perspectival shape “from here.”. (shrink)

When viewing a circular coin rotated in depth, it fills an elliptical region of the distal scene. For some, this appears to generate a two-fold experience, in which one sees the coin as simultaneously circular (in light of its 3D shape) and elliptical (in light of its 2D ‘perspectival shape’ or ‘p-shape’). An energetic philosophical debate asks whether the latter p-shapes are genuinely presented in perceptual experience (as ‘perspectivalists’ argue) or if, instead, this appearance is somehow derived or (...) inferred from experience (as ‘anti-perspectivalists’ argue). This debate, however, has largely turned on introspection. In a recent study, Morales, Bax, and Firestone (2020) aim to provide the first empirical test of this question. They asked subjects to find an elliptical coin seen face-on from a search array that also included a circular coin seen either face-on or at an angle. They found that subjects reacted more slowly when the distracting circle was seen at an angle, such that it’s p-shape matched that of the target ellipse. From this, they concluded that the similar p-shape between the ellipse and circle constituted a phenomenal similarity between the two, and thus that perspectivalism is true. We show that these results can also be explained by pre-attentive guidance by unconscious representations (in what follows, just “unconscious pre-attentive guidance”) and that this explanation is at least as plausible as one from phenomenal similarity. Thus, we conclude that the experiment does not support perspectivalism over anti-perspectivalism. (shrink)

This paper proposes a novel experimental approach that would help to determine whether perspectival shapes, such as the elliptical profile of a tilted plate or coin, are part of perceptual experience. If they are part of perceptual experience, then it should be possible to identify these shapes simply by attending appropriately to them. Otherwise, in order to identify perspectival shapes they must first be constructed in the visual imagination. We propose that these accounts of perspectival identification can be tested (...) by measuring the interference between visual and verbal working memory load, respectively, and the identification of perspectival shapes in the appearance of a 3D object. (shrink)

The Epistemic Objection says that certain theories of time imply that it is impossible to know which time is absolutely present. Standard presentations of the Epistemic Objection are elliptical—and some of the most natural premises one might fill in to complete the argument end up leading to radical skepticism. But there is a way of filling in the details which avoids this problem, using epistemic safety. The new version has two interesting upshots. First, while Ross Cameron alleges that the (...) Epistemic Objection applies to presentism as much as to theories like the growing block, the safety version does not overgeneralize this way. Second, the Epistemic Objection does generalize in a different, overlooked way. The safety objection is a serious problem for a widely held combination of views: “propositional temporalism” together with “metaphysical eternalism”. (shrink)

When one has both epistemic and practical reasons for or against some belief, how do these reasons combine into an all-things-considered reason for or against that belief? The question might seem to presuppose the existence of practical reasons for belief. But we can rid the question of this presupposition. Once we do, a highly general ‘Combinatorial Problem’ emerges. The problem has been thought to be intractable due to certain differences in the combinatorial properties of epistemic and practical reasons. Here we (...) bring good news: if we accept an independently motivated version of epistemic instrumentalism—the view that epistemic reasons are a species of instrumental reasons—we can reduce The Combinatorial Problem to the relatively benign problem of how to weigh different instrumental reasons against each other. As an added benefit, the instrumentalist account can explain the apparent intractability of The Combinatorial Problem in terms of a common tendency to think and talk about epistemic reasons in an elliptical manner. (shrink)

In seeing a tilted penny, we are experientially aware of both its circularity and another shape, which I dub ‘β‐ellipticality’. Some claim that our experiential awareness of the intrinsic shapes/sizes of everyday objects depends upon our experiential awareness of β‐shapes/β‐sizes. In contrast, I maintain that β‐property experiences are the result of what Richard Wollheim calls ‘seeing‐in’, but run in reverse: instead of seeing a three‐dimensional object in a flat surface, we see a flat surface in a three‐dimensional object. Using this (...) new account, I re‐examine the phenomenological directness of visual experience and undermine an argument for skepticism about β‐property experiences. (shrink)

According to an influential philosophical view I call “the relational properties view”, “perspectival” properties, such as the elliptical appearance of a tilted coin, are relational properties of external objects. Philosophers have assessed this view on the basis of phenomenological, epistemological or other purely philosophical considerations. My aim in this paper is to examine whether it is possible to evaluate RPV empirically. In the first, negative part of the paper I consider and reject a certain tempting way of doing so. (...) In the second, positive part of the paper I suggest a novel way of evaluating RPV empirically, relying on the influential object files framework. (shrink)

The chapter concerns some aspects of Russell’s epistemological turn in the period after 1911. In particular, it focuses on two aspects of his philosophy in this period: his attempt to render material objects as constructions out of sense data, and his attitude toward sense data as “hard data.” It examines closely Russell’s “breakthrough” of early 1914, in which he concluded that, viewed from the standpoint of epistemology and analytic construction, space has six dimensions, not merely three. Russell posits a three-dimensional (...) personal or “perspective” space that is inhabited by sense data. This space then forms the basis for constructing the three dimensional space of physics (and of public things). I am concerned with the specifics of this construction: with the properties of the private spaces, the relations among those spaces, and their relation to physical space and to constructed “things,” such as pennies or tables. There are difficulties of interpretation with respect to these relations, which stem from the difficulty of finding a coherent interpretation of Russell’s claim that objects such as tables and pennies look smaller at a greater distance (or look trapezoidal or elliptical from some points of view). I don’t mean to challenge the phenomenal claim that objects do, in some sense, look small in the distance. Rather, I raise difficulties with Russell’s analysis of this fact, in which he appeals to both phenomenal experience and the findings of sensory psychology. I hold that if he wishes to maintain his phenomenal claim about objects appearing smaller with greater distance, he must alter or redescribe aspects of his construction of ordinary things. However, if his construction of things and physical space is based on a problematic description of the private spaces, then his claim that private or perspective spaces are very well known and provide the hard data for knowledge of the physical world faces a challenge. (shrink)

This paper defends the thesis that counterfactuals are strict conditionals. Its purpose is to show that there is a coherent view according to which counterfactuals are strict conditionals whose antecedent is stated elliptically. Section 1 introduces the view. Section 2 outlines a response to the main argument against the thesis that counterfactuals are strict conditionals. Section 3 compares the view with a proposal due to Aqvist, which may be regarded as its direct predecessor. Sections 4 and 5 explain how the (...) view di ers from the theories of counterfactuals advocated by Stalnaker and Lewis, and from some contextualist strict conditional accounts of counterfactuals that have emerged recently. Finally, section 6 addresses the thorny issue of disjunctive antecedents. (shrink)

For the classical Geometry, in a geometrical space, all items (concepts, axioms, theorems, etc.) are totally (100%) true. But, in the real world, many items are not totally true. The NeutroGeometry is a geometrical space that has some items that are only partially true (and partially indeterminate, and partially false), and no item that is totally false. The AntiGeometry is a geometrical space that has some item that are totally (100%) false. While the Non-Euclidean Geometries [hyperbolic and elliptic geometries] resulted (...) from the total negation of only one specific axiom (Euclid’s Fifth Postulate), the AntiGeometry results from the total negation of any axiom [and in general: theorem, concept, idea etc.] and even of more axioms [theorem, concept, idea, etc.] and in general from any geometric axiomatic system (Euclid’s five postulates, Hilbert’s 20 axioms, etc.), and the NeutroAxiom results from the partial negation of any axiom (or concept, theorem, idea, etc.). Clearly, the AntiGeometry is a generalization of Non-Euclidean Geometries. (shrink)

In the twenty-fourth aporia of Theophrastus' Metaphysics, there appears an important, if ‘bafflingly elliptical’, ascription to Plato and the ‘Pythagoreans’ of a theory of reduction to the first principles via ‘imitation’. Very little attention has been paid to the idea of Platonic and ‘Pythagorean’ reduction through the operation of ‘imitation’ as presented by Theophrastus in his Metaphysics. This article interrogates the concepts of ‘reduction’ and ‘imitation’ as described in the extant fragments of Theophrastus’ writings – with special attention to (...) his Metaphysics – in an attempt to make sense of how, precisely, Theophrastus characterizes the metaphysical systems of Plato and the ‘Pythagoreans’. A fuller examination of Aporia 24 produces important new understandings of the nature of the Early Academy in the mid fourth century B.C.E. Specifically, by ascribing the concept of reduction via ‘imitation’ to Plato and the ‘Pythagoreans’, Theophrastus is actually describing theories about the structure of the universe held by an important Platonist competitor and the contemporary head of the Academy in Athens, Xenocrates of Chalcedon (396/5–314/13 B.C.E.), who (a) took it upon himself to establish a Platonic doctrine that could be associated with his master’s writings and (b) coordinated that doctrine with the philosophical precepts of the Pythagoreans. As a consequence, we are prompted to question Aristotle’s famous ascription of a theory of ‘imitation’ to the metaphysics of the genuine contemporary or recently deceased Pythagoreans (such as Philolaus of Croton or Archytas of Tarentum) and consider how Xenocrates’ writings on Plato and the ‘Pythagoreans’ might be informing both Theophrastus’ and Aristotle’s descriptions of the Platonic and Pythagorean philosophical system(s). (shrink)

The main theory at the core of this monograph is that the person is an entity ontologically new, since she is able to perform an act of self-transcendence, which is meant as her critical distancing from her own “self”, understood as subject of social recognition (Anerkennung), in order to open to the encounter with the world (Weltoffenheit). This allows us to consider a person in a new way, different both from confessional interpretations that see her only as a center of (...) the spirit and from reductivistic views. Schelling examines the act of self-transcendence through the concept of ecstasy, whereas Scheler associates it with the phenomenological reduction. The act of self-transcendence, that Schelling sees as originated by the “hunger of being”, is at the roots of the formation process of a person (Bildung): the person takes her shape by exiting from her own self-referential dimension and encountering otherness. If considered from this viewpoint, Plato’s “epimeleia heautou” exceeds an intimistic perspective: the “care” is no more a solipsistic self-care, but rather becomes the care through which the person transcends her own self to open to the relationships with otherness. It turns, therefore, into a care for world-openness (care for Weltoffenheit). The transformation of the individual and of society so becomes the double-faced aspect of the same process. The development of this set of problems occurs through a dialogue with Schelling’s and Scheler’s positions, but it is also supported by a historical-philosophical investigation, that for instance provides evidence of the influences of Schelling’s Berlin period on Scheler’s last theories and on the philosophical anthropology of the 20th century. Schelling was the first to conceive the concept of “eccentricity” in an anthropological sense, since until then the term had been confined to Kepler’s astronomy. Consequently, the planets’ elliptic (eccentric) movement heightens to an emblematic metaphor of human nature and freedom. The monograph also examines a possible convergence between Plato’s epimeleia heautou and Scheler’s phenomenological reduction. The book ends with a chapter on the topic of Vorbild. The exemplary testimony, that is Vorbild, becomes witnessing evidence immune from any pedagogical-moralistic intent: in fact, if it should relapse into the rhetoric of the “wish to give a good example”, it would immediately conform to the opposite logic of the model. A model is universal in so far as it makes everyone more like the others, nullifying the diversity, whereas exemplariness is universal in so far as it makes everyone more unique and motivates each one to follow her own characteristic path of existential trans-formation. Exemplarity doesn’t convey any contents, but rather encourages a kind of solidaristic involvement. Yet there are also negative exemplarities (Gegenbild) that place obstacles in the formation and block the existence of the personal center. (shrink)

The general topic of this paper is the ontological commitment to so-called "fictitious objects", that is, things and characters of fictional stories, like Sherlock Holmes and Pegasus. Discourse about fiction seems to entail an ontological commitment to fictitious entities, a commitment that is often deemed inconsistent with empirical facts. For instance, "Pegasus is a flying horse" seems to entail "There are flying horses" as well as "Pegasus exists" (according to some widely accepted logical principles). I discuss two solutions that have (...) been proposed in the literature. The first one amounts to rejecting sentences like "Pegasus is a flying horse" as false, at least if they are taken at face value. This solution is called the "story operator strategy". It consists in paraphrasing sentences like "Pegasus is a flying horse" by means of the expression "according to a story" such that they are interpreted as an elliptic formulation of, e.g., "According to a story, Pegasus is a flying horse". I spell out the difficulties of the story operator strategy and opt for a realist ontology of fiction. A novel interpretation of the story operator "according to a story" is given, which is not only consistent with but even sheds new light on such a realist ontology. In particular, it is shown how the story operator can be used as a tool to introduce the so-called "modes of predication distinction" (which is an essential ingredient of many realist ontologies of fiction) in a commonsensical way. (shrink)

Here is an old philosophical puzzle. Take out a coin and look at it. It is a flat disk. Now tilt it so that you look at it on an angle. From an angle, there is some sense in which the tilted coin appears elliptical. But there is also a strong sense in which the tilted coin looks circular, like a flat disk. How can one object look both elliptical and circular at the same time? Thus, the puzzle (...) of the tilted coin. (shrink)

DEFINING OUR TERMS A “paradox" is an argumentation that appears to deduce a conclusion believed to be false from premises believed to be true. An “inconsistency proof for a theory" is an argumentation that actually deduces a negation of a theorem of the theory from premises that are all theorems of the theory. An “indirect proof of the negation of a hypothesis" is an argumentation that actually deduces a conclusion known to be false from the hypothesis alone or, more commonly, (...) from the hypothesis augmented by a set of premises known to be true. A “direct proof of a hypothesis" is an argumentation that actually deduces the hypothesis itself from premises known to be true. Since `appears', `believes' and `knows' all make elliptical reference to a participant, it is clear that `paradox', `indirect proof' and `direct proof' are all participant-relative. PARTICIPANT RELATIVITY In normal mathematical writing the participant is presumed to be “the community of mathematicians" or some more or less well-defined subcommunity and, therefore, omission of explicit reference to the participant is often warranted. However, in historical, critical, or philosophical writing focused on emerging branches of mathematics such omission often invites confusion. One and the same argumentation has been a paradox for one mathematician, an inconsistency proof for another, and an indirect proof to a third. One and the same argumentation-text can appear to one mathematician to express an indirect proof while appearing to another mathematician to express a direct proof. WHAT IS A PARADOX’S SOLUTION? Of the above four sorts of argumentation only the paradox invites “solution" or “resolution", and ordinarily this is to be accomplished either by discovering a logical fallacy in the “reasoning" of the argumentation or by discovering that the conclusion is not really false or by discovering that one of the premises is not really true. Resolution of a paradox by a participant amounts to reclassifying a formerly paradoxical argumentation either as a “fallacy", as a direct proof of its conclusion, as an indirect proof of the negation of one of its premises, as an inconsistency proof, or as something else depending on the participant's state of knowledge or belief. This illustrates why an argumentation which is a paradox to a given mathematician at a given time may well not be a paradox to the same mathematician at a later time. -/- The present article considers several set-theoretic argumentations that appeared in the period 1903-1908. The year 1903 saw the publication of B. Russell's Principles of mathematics, [Cambridge Univ. Press, Cambridge, 1903; Jbuch 34, 62]. The year 1908 saw the publication of Russell's article on type theory as well as Ernst Zermelo's two watershed articles on the axiom of choice and the foundations of set theory. The argumentations discussed concern “the largest cardinal", “the largest ordinal", the well-ordering principle, “the well-ordering of the continuum", denumerability of ordinals and denumerability of reals. The article shows that these argumentations were variously classified by various mathematicians and that the surrounding atmosphere was one of confusion and misunderstanding, partly as a result of failure to make or to heed distinctions similar to those made above. The article implies that historians have made the situation worse by not observing or not analysing the nature of the confusion. -/- RECOMMENDATION This well-written and well-documented article exemplifies the fact that clarification of history can be achieved through articulation of distinctions that had not been articulated (or were not being heeded) at the time. The article presupposes extensive knowledge of the history of mathematics, of mathematics itself (especially set theory) and of philosophy. It is therefore not to be recommended for casual reading. AFTERWORD: This review was written at the same time Corcoran was writing his signature “Argumentations and logic”[249] that covers much of the same ground in much more detail. https://www.academia.edu/14089432/Argumentations_and_Logic . (shrink)

In 1596, in the Mysterium Cosmographicum, a twenty-five-year-old Johannes Kepler rashly banished lines from the universe. They “scarcely admit of order,” he wrote, and God himself could have no use for them in this “well-ordered universe.” Twenty-five years later, though, Kepler had come to repent the temerity of his youth. “O male factum!” he lamented in a 1621 second edition of the Mysterium – “O what a mistake” it was to dismiss lines, for linearity is revealed in those most perfect (...) and divine motions – the revolutions of the heavenly orbs. Why did Kepler come to lament the rashness of his youth? The answer lies deep in the details of Kepler’s discovery of elliptical orbits in 1605. Kepler struggled to find an empirically adequate description and physically plausible explanation of Mars’s path through the heavens. He realized, though, that his originally spherical notion of location and direction were insufficient to reconcile descriptions and explanations of the planet’s motion. Crucially inspired by the “magnetic philosophy” of William Gilbert, Kepler adopted an oriented conception of space, which finally allowed a plausible mechanism to be constructed for elliptical motion – the true path of the planet. Yet, this oriented space required the stipulation of straight lines. Without straight lines, even God could not construct the planets’ elliptical orbits. (shrink)

In the center of the fifth book of the Nicomachean Ethics, Aristotle elliptically characterizes political justice as a form of reciprocal rule that exists between free and equal persons pursuing a common life directed toward self-sufficiency under the rule of law. My dissertation analyzes Aristotle's thematic treatments of political justice in the Nicomachean Ethics and Politics in order to elucidate its meaning, clarify its relationship to the other forms of justice that he also discusses, and compare it to contemporary neo-Aristotelian (...) accounts of justice. ;The first chapter examines the unclear and disputed passages of Ethics V.6--7 and explains why Aristotle discusses political justice in his ethical treatise. The second chapter makes use of Aristotle's juxtaposition of political justice to household justice on the one hand and despotic justice on the other hand in order to explicate the necessary conditions of political justice, namely, freedom, equality, commonality, self-sufficiency, and the rule of law. To make sense of these concepts, the chapter explores such topics as Aristotle's understanding of the household, his notion of the self and his political criticisms of Socrates. The third chapter examines political justice or reciprocal rule in the Politics in order to understand how political justice can be both a human virtue and an institutional arrangement of offices. The fourth chapter offers a critique of Fred Miller's reconstruction of Aristotelian natural rights. Although Miller is correct to say that Aristotle recognized and understood "rights claims," he is mistaken in claiming that they are an integral part of Aristotle's practical philosophy. Aristotle understood the problems for political compromise posed by rights conceived as "trumps," and he rejects rights as philosophically fundamental on the grounds that they are an inadequate solution to both the political problem of justice and the stability of flourishing political institutions. (shrink)

A person with one dollar is poor. If a person with n dollars is poor, then so is a person with n + 1 dollars. Therefore, a person with a billion dollars is poor. True premises, valid reasoning, a false a conclusion. This is an instance of the Sorites-paradox. (There are infinitely many such paradoxes. A man with an IQ of 1 is unintelligent. If a man with an IQ of n is unintelligent, so is a man with an IQ (...) of n+1. Therefore a man with an IQ of 200 is unintelligent.) Most attempts to solve this paradox reject some law of classical logic, usually the law of bivalence. I show that this paradox can be solved while holding on to all the laws of classical logic. Given any predicate that generates a Sorites-paradox, significant use of that predicate is actually elliptical for a relational statement: a significant token of "Bob is poor" means that Bob is poor compared to x, for some value of x. Once a value of x is supplied, a definite cutoff line between having and not having the paradox-generating predicate is supplied. This neutralizes the inductive step in the associated Sorites argument, and the would-be paradox is avoided. (shrink)

I defend a solution to a long-standing problem with perceptual appearances, brought about by the phenomenon of perceptual constancy. The problem is that in conditions which are non-ideal, yet within the range that perceptual constancy works, we see things veridically despite an “appearance” which is traditionally taken to be non-veridical. For example, a tilted coin is often taken to have an “elliptical appearance”, shadowed surfaces a “darker appearance”. These appearances are puzzling for a number of reasons. I defend and (...) elaborate on an approach taken by Sean Kelly, and earlier by the art historian E.H. Gombrich, according to which we can be tricked by our ability to bring about a kind of Gesltalt shift between different possible perceptual interpretations of a scene. (shrink)

We compare the medieval projects of commentaries and disputations with the modern projects of formal ontology and of mathematics.

The aim of this paper is to study a set of three issues related to the understanding of partial justice and partial injustice as character dispositions, namely the distinctive circumstance of action, the emotion involved therein and the pleasure or pain following it. Those points are treated in a relatively obscure way by Aristotle, especially in comparison with their treatment in the expositions of other character virtues in the Nicomachean Ethics. Building on the expression ‘capacity towards the other’ (δύναμις ἐν (...) τῷ πρὸς ἕτερον), the paper highlights the interpersonal nature of the circumstances of just and unjust actions, and points how such nature is directly related to notions such as ‘profit’ (κέρδος) or ‘getting more’(πλεονεκτεῖν) as well as to the unusual conception of excess, defect and intermediacy in Nicomachean Ethics Book V. The interpersonal nature of just and unjust actions works also as the starting-point for the interpretation both of the pleasure briefly mentioned in 1130b4 as characterizing the greedy person and of the emotion involved in acting justly or greedy, which is mentioned in an extremely elliptical way in 1130b1-2: the paper argues, on the one hand, that the pleasure felt in acting justly or unjustly concerns not only the goods that are the object of just or unjust interactions, but also the way such interactions affect the people involved; on the other hand, it argues that the emotion actuated in just or unjust interactions relates to the agent’s concern or lack of concern with the good of those people. (shrink)

This self-contained lecture examines uses and misuses of the adverb conversely with special attention to logic and logic-related fields. Sometimes adding conversely after a conjunction such as and signals redundantly that a converse of what preceded will follow. -/- (1) Tarski read Church and, conversely, Church read Tarski. -/- In such cases, conversely serves as an extrapropositional constituent of the sentence in which it occurs: deleting conversely doesn’t change the proposition expressed. Nevertheless it does introduce new implicatures: a speaker would (...) implicate belief that the second sentence expresses a converse of what the first expresses. Perhaps because such usage is familiar, the word conversely can be used as “sentential pronoun”—or prosentence—representing a sentence expressing a converse of what the preceding sentence expresses. -/- (2) Tarski read Church and conversely. -/- This would be understood as expressing the proposition expressed by (1). Prosentential usage introduces ambiguity when the initial proposition has more than one converse. Confusion can occur if the initial proposition has non-equivalent converses. -/- Every proposition that is the negation of a false proposition is true and conversely. -/- One sense implies that every proposition that is the negation of a true proposition is false, which is true of course. But another sense, probably more likely, implies that every proposition that is true is the negation of a false proposition, which is false: the proposition that one precedes two is not a negation and thus is not the negation of a false proposition. The above also applies to synonyms of conversely such as vice versa. Although prosentence has no synonym, extrapropositional constituents are sometimes called redundant rhetoric, filler, or expletive. Authors discussed include Aristotle, Boole, De Morgan, Peirce, Frege, Russell, Tarski, and Church. END OF PUBLISHED ABSTRACT -/- See also: Corcoran, John. 2015. Converses, inner and outer. 2015. Cambridge Dictionary of Philosophy, third edition, Robert Audi (editor). Cambridge: Cambridge UP. https://www.academia.edu/10396347/Corcoran_s_27_entries_in_the_1999_second_edition_Audi_s_Cambridge_ Dictionary_of_Philosophy . (shrink)

Jean-Luc Nancy would appear to have avoided the aura of conceptual determinativeness plaguing John Caputo's reading of Derrida. His rendering of the interweaving of experience is vigilant at depriving us of the ability to capture and possess a temporary presence in the event itself. In 'Elliptical Sense' (Research in Phenomenology,pp.175-190) and `Differance' (Sense of the World, pp.34-36) he thinks Derrida's quasi-transcendental as a being-singular-plural. But is Nancy's differential communication of events understanding itself as Derridean differance? Nancy himself reminds (Ellipsis34) (...) that while there is a great proximity between his work and Derrida, it is not a complicity. What might Nancy not be apprehending of Derrida's thought? (shrink)