Diese Arbeit zeigt, dass die Dualität des mathematischen und dynamischen Erhabenen bei Kant auch dem Zweck der dritten Kritik dient, die Kluft zwischen den Gebieten der Natur und der Freiheit zu schließen. In der Sekundärliteratur zu Kant wird das Erhabene oft als Anhang des Schönen oder aufgrund seiner mehrfachen Dualitäten als Bruch in Kants Ansatz angesehen. Dies geschieht, weil solche Interpretationen die Elemente der Theorie des Erhabenen atomisch und nicht systematisch rekonstruieren. Im Gegensatz dazu wird in dieser Arbeit mittels der (...) Resonanz der teleologischen Behandlung der Vernunft nicht nur die innere Systematik der dritten Kritik gezeigt, sondern auch die von der gesamten kritischen Philosophie. Die Vernunft als Vermögen der Zwecksetzung zu verstehen in ihrem praktischen und theoretischen Gebrauch, ist keine neue Idee oder neuer systematischer Rekonstruktionsversuch der kritischen Philosophie in der Kantforschung. Das eigentlich Neue in dieser Monografie ist, einen Beweis von ihrer teleologischen Einheit aus der ästhetischen Perspektive des paradoxen Gefühls des Erhabenen geleistet zu haben. (shrink)

This paper is a critical appraisal of Lee’s framework (2020) for the Community of Inquiry (CoI) pedagogy in light of Garrison’s work (2000, 2001, 2010, 2016, 2017) in the context of synchronous and asynchronous distance learning. Using the latter as springboard, Lee’s CoI framework is examined based on Garrison’s three presences: cognitive, social, and teaching presence. The paper discusses the similarities between Lee’s CoI and Garrison’s CoI, and expounds on the differences between the two (i.e. the end goal of a (...) CoI for cognitive presence, the realization of asynchronous social presence, and the role of the facilitator in teaching presence). It also presents practical suggestions to improve Lee’s CoI in a distance education setting. Lastly, it concludes with institutional recommendations for applying CoI for distance learning in the Philippine context. (shrink)

In his Philosophical Inquiry concerning Human Liberty (1717), the English deist Anthony Collins proposed a complete determinist account of the human mind and action, partly inspired by his mentor Locke, but also by elements from Bayle, Leibniz and other Continental sources. It is a determinism which does not neglect the question of the specific status of the mind but rather seeks to provide a causal account of mental activity and volition in particular; it is a ‘volitional determinism’. Some decades later, (...) Diderot articulates a very similar determinism, which seeks to recognize the existence of “causes proper to man” (as he says in the Réfutation d’Helvétius). The difference with Collins is that now biological factors are being taken into account. Obviously both the ‘volitional’ and the ‘biological’ forms of determinism are noteworthy inasmuch as they change our picture of the nature of determinism itself, but my interest here is to compare these two determinist arguments, both of which are broadly Spinozist in nature – and as such belong to what Jonathan Israel called in his recent book “the radical Enlightenment,” i.e. a kind of underground Enlightenment constituted by Spinozism – and to see how Collins’ specifically psychological vision and Diderot’s specifically biological vision correspond to their two separate national contexts: determinism in France in the mid-1750s was a much more medico-biological affair than English determinism, which appears to be on a ‘path’ leading to Mill and associationist psychology. (shrink)

Ce livre étudie, à travers une série d'épisodes allant de la philosophie des Lumières à notre époque, le problème du matérialisme dans l'histoire de la philosophie et l’histoire des sciences. Comment comprendre les spécificités de l’histoire du matérialisme, des Lumières à nos jours, au sein de la grande histoire de la philosophie et de l’histoire des sciences ? Quelle est l’actualité de l’opposition classique entre le corps et l’esprit ? Qu’est-ce que le rire ou le rêve peuvent nous apprendre du (...) matérialisme ? En traversant l’histoire de ce concept jusqu’à l’émergence d’un « nouveau matérialisme » contemporain, l’ouvrage vise à revitaliser le matérialisme et sa lecture. -/- . (shrink)

Synthetic biologists aim to generate biological organisms according to rational design principles. Their work may have many beneficial applications, but it also raises potentially serious ethical concerns. In this article, we consider what attention the discipline demands from bioethicists. We argue that the most important issue for ethicists to examine is the risk that knowledge from synthetic biology will be misused, for example, in biological terrorism or warfare. To adequately address this concern, bioethics will need to broaden its scope, contemplating (...) not just the means by which scientific knowledge is produced, but also what kinds of knowledge should be sought and disseminated. (shrink)

This paper considers two reasons that might support Russell’s choice of a ramified-type theory over a simple-type theory. The first reason is the existence of purported paradoxes that can be formulated in any simple-type language, including an argument that Russell considered in 1903. These arguments depend on certain converse-compositional principles. When we take account of Russell’s doctrine that a propositional function is not a constituent of its values, these principles turn out to be too implausible to make these arguments troubling. (...) The second reason is conditional on a substitutional interpretation of quantification over types other than that of individuals. This reason stands up to investigation: a simple-type language will not sustain such an interpretation, but a ramified-type language will. And there is evidence that Russell was tacitly inclined towards such an interpretation. A strong construal of that interpretation opens a way to make sense of Russell’s simultaneous repudiation of propositions and his willingness to quantify over them. But that way runs into trouble with Russell’s commitment to the finitude of human understanding. (shrink)

One of the main contentions of the framework for Responsible Innovation (RI) is that social and ethical aspects have to be addressed by deliberative engagement with stakeholders and the wider public throughout the innovation process. The aim of this article is to reflect on the question to what extent is deliberative engagement suitable for conducting RI in business. We discuss several tensions that arise when this framework is applied in the business context. Further, we analyse the place of deliberative engagement (...) in several theories of business ethics. We conclude that there remains a tension between the ideal of RI and the way in which the competitive market operates. Hence, RI scholars should reflect more critically on changes that are required in the market in order to make RI possible, modify the ideal of deliberative engagement for RI in business, or attempt to strike a balance between these two responses. (shrink)

This study explores the employee retention strategies implemented by administrators in educational institutions, focusing on Immaculate Conception College of Balayan, Inc. The qualitative case study involved 10 participants, including administrators and employees selected based on stable tenure and appropriate qualifications. Through face- to-face interviews, key determinants influencing retention, such as teacher satisfaction, job contentment, professional growth, and loyalty, were identified. Recognition and incentives emerged as the primary retention strategy, significantly influencing employee satisfaction and fostering a sense of belonging. The study (...) concludes that these strategies are effective, contributing to the retention of skilled professionals. Recommendations emphasize the importance of recognizing and providing incentives as core strategies for administrators in educational settings, recognizing their role in creating a positive work environment and promoting sustained employee commitment. The findings at ICCBI underscore the observed effectiveness of these strategies. (shrink)

Replacing the value-free ideal (VFI) for science requires attention to the broader understanding of how science in society should function. In public spaces, science needed to project the VFI in norms for science advising, science education, and science communication. This resulted in the independent science advisor model and a focus on science literacy for science education and communication. Attending to these broader implications of the VFI which structure science and society relationships is crucial if we are to properly replace the (...) VFI with a better ideal. (shrink)

A number of philosophers think that grounding is, in some sense, well-founded. This thesis, however, is not always articulated precisely, nor is there a consensus in the literature as to how it should be characterized. In what follows, I consider several principles that one might have in mind when asserting that grounding is well-founded, and I argue that one of these principles, which I call ‘full foundations’, best captures the relevant claim. My argument is by the process of elimination. For (...) each of the inadequate principles, I illustrate its inadequacy by showing either that it excludes cases that should not be ruled out by a well-foundedness axiom for grounding, or that it admits cases that should be ruled out. (shrink)

Kit Fine (2000) breaks with tradition, arguing that, pace Russell (e.g., 1903: 228), relations have neither directions nor converses. He considers two ways to conceive of these new "neutral" relations, positionalism and anti-positionalism, and argues that the latter should be preferred to the former. Cody Gilmore (2013) argues for a generalization of positionalism, slot theory, the view that a property or relation is n-adic if and only if there are exactly n slots in it, and (very roughly) that each slot (...) may be occupied by at most one entity. Slot theory (and with it, positionalism) bears the full brunt of Fine's (2000) symmetric completions and conflicting adicities problems. I fully develop an alternative, plural slot theory (or pocket theory), which avoids these problems, key elements of which are first considered by Yi (1999: 168 ff.). Like the slot theorist, the pocket theorist posits entities (pockets) in properties and relations that can be occupied. But unlike the slot theorist, the pocket theorist denies that at most one entity can occupy any one of them. As a result, she must also deny that the adicity of a property or relation is equal to the number of occupiable entities in it. By abandoning these theses, however, the pocket theorist is able to avoid Fine's problems, resulting in a stronger theory about the internal structure of properties and relations. Pocket theory also avoids a serious drawback of anti-positionalism. (shrink)

This paper and its sequel “look under the hood” of the usual sorts of proof-theoretic systems for certain well-known intuitionistic and classical propositional modal logics. Section 1 is preliminary. Of most importance: a marked formula will be the result of prefixing a formula in a propositional modal language with a step-marker, for this paper either 0 or 1. Think of 1 as indicating the taking of “one step away from 0.” Deductions will be constructed using marked formulas. Section 2 presents (...) the model-theoretic concepts, based on those in [7], that guide the rest of this paper. Section 3 presents Natural Deduction systems IK and CK, formalizations of intuitionistic and classical one-step versions of K. In these systems, occurrences of step-markers allow deductions to display deductive structure that is covered over in familiar “no step” proof-theoretic systems for such logics. Box and Diamond are governed by Introduction and Elimination rules; the familiar K rule and Necessitation are derived (i.e. admissible) rules. CK will be the result of adding the 0-version of the Rule of Excluded Middle to the rules which generate IK. Note: IK is the result of merely dropping that rule from those generating CK, without addition of further rules or axioms (as was needed in [7]). These proof-theoretic systems yield intuitionistic and classical consequence relations by the obvious definition. Section 4 provides some examples of what can be deduced in IK. Section 5 defines some proof-theoretic concepts that are used in Section 6 to prove the soundness of the consequence relation for IK (relative to the class of models defined in Section 2.) Section 7 proves its completeness (relative to that class). Section 8 extends these results to the consequence relation for CK. (Looking ahead: Part 2 will investigate one-step proof-theoretic systems formalizing intuitionistic and classical one-step versions of some familiar logics stronger than K.). (shrink)

Many pantheists have claimed that their view of the divine is motivated by a kind of spiritual experience. In this paper, I articulate a novel argument, inspired by recent work on moral exemplarism, that gives voice to this kind of motivation for pantheism. The argument is based on two claims about the emotion of awe, each of which is defended primarily via critical engagement with empirical research on the emotion. I also illustrate how this pathway to pantheism offers pantheists distinctive (...) resources for responding to persistent objections to their view, and how it might lead to more exotic views incorporating pantheistic elements. (shrink)

A model-theoretic approach to the semantics of set-theoretic discourse.

Citizen Satisfaction Index System (CSIS) was used to assess the delivery of support to education initiatives in the municipality of Banga, Aklan, Philippines. The samples were determined using multiple application of stratified random sampling approach. In accordance with the Philippine Statistical Authority's Data on Census Population and Housing for 2015, barangays having a bigger share of the population contributed more respondents to the 150 targeted participants. Following the inclusion criteria, the probability respondents were chosen using the Kish Grid. Pre-numbered questionnaires (...) were distributed, with odd numbers targeting male responders and even numbers targeting females. The following criteria were used to evaluate the respondents' assessments: awareness, availment of the program/service, satisfaction, and need for action. Furthermore, interviews were conducted to better understand and investigate the respondents' thoughts, behavior, and perspectives. The reasons for their reaction were also obtained. The data was provided in percentage as well as frequency distributions. The study inferred that awareness on alternative learning system and/or special education program should be improved since it is the only program that attained low rating for awareness. Most of the residents were not able to avail education programs because they have no household member who attends school. Majority of the respondents who availed the services were satisfied. However, scholarship and other assistance programs to students may be enhanced to improve service delivery. It is highly recommended by the citizens to improve accessibility to scholarship programs and other forms of financial assistance to students. (shrink)

Where $\underline{a}$ is a Turing degree and ξ is an ordinal $ , the result of performing ξ jumps on $\underline{a},\underline{a}^{(\xi)}$ , is defined set-theoretically, using Jensen's fine-structure results. This operation appears to be the natural extension through $(\aleph_1)^{L^\underline{a}}$ of the ordinary jump operations. We describe this operation in more degree-theoretic terms, examine how much of it could be defined in degree-theoretic terms and compare it to the single jump operation.

This paper presents and defends a model of religious faith as an epistemic disposition. According to the model, religious faith is a disposition to take certain doxastic attitudes toward propositions of religious significance upon entertaining certain mental states. Three distinct advantages of the model are advanced. First, the model allows for religious faith to explain the presence and epistemic appropriateness of religious belief. Second, the model accommodates a variety of historically significant perspectives concerning the relationships between faith and evidence, faith (...) and volition, and faith and doubt. And, finally, the model offers an appealing account of what unifies religious faith with other kinds of faith. (shrink)

It is not uncommon to think that the existence of exhaustive and infallible divine foreknowledge uniquely threatens the existence of human freedom. This paper shows that this cannot be so. For, to uniquely threaten human freedom, infallible divine foreknowledge would have to make an essential contribution to an explanation for why our actions are not up to us. And infallible divine foreknowledge cannot do this. There remains, however, an important question about the compatibility of freedom and foreknowledge. It is a (...) question not about the existence of foreknowledge, but about its mechanics. (shrink)

The COVID-19 crisis has highlighted the considerable challenge of sourcing expertise and determining which experts to trust. Dissonant information fostered controversy in public discourse and encouraged an appeal to a wide range of social indicators of trustworthiness in order to decide whom to trust. We analyze public discourse on expertise by examining how social indicators inform the reputation of Dr. Didier Raoult, the French microbiologist who rose to international prominence as an early advocate for using hydroxychloroquine to treat COVID-19. To (...) comprehend how these indicators came to inform his reputation, we outline Dr. Raoult's rise to fame based on discourse about hydroxychloroquine. We then discuss why we trust in experts like scientist-practitioners. This is followed by an examination of how social indicators of trust like status, epistemic authority, influence and values have informed Dr. Raoult's reputation. We conclude with recommendations for how to improve the selection and evaluation social indicators of trust and reputations. Our aim here, instead of making a claim about the efficacy of hydroxychloroquine or Dr. Raoult's reputation per se, is to outline through this case study how social indicators of trust inform reputation and the challenge they present to evaluating expertise. (shrink)

Traditionally, species have been treated as classes. In fact they may be considered individuals. The logical term “individual” has been confused with a biological synonym for “organism.” If species are individuals, then: 1) their names are proper, 2) there cannot be instances of them, 3) they do not have defining properties, 4) their constituent organisms are parts, not members. “ Species " may be defined as the most extensive units in the natural economy such that reproductive competition occurs among their (...) parts. Species are to evolutionary theory as firms are to economic theory: this analogy resolves many issues, such as the problems of “reality” and the ontological status of nomenclatorial types. (shrink)

Part 1 [Hodes, 2021] “looked under the hood” of the familiar versions of the classical propositional modal logic K and its intuitionistic counterpart. This paper continues that project, addressing some familiar classical strengthenings of K and GL), and their intuitionistic counterparts. Section 9 associates two intuitionistic one-step proof-theoretic systems to each of the just mentioned intuitionistic logics, this by adding for each a new rule to those which generated IK in Part 1. For the systems associated with the intuitionistic counterparts (...) of D and T, these rules are “pure one-step”: their schematic formulations does not use □ or ♢. For the systems associated with the intuitionistic counterparts of K4, etc., these rules meet these conditions: neither □ nor ♢ is iterated; none use both □ and ♢. The join of the two systems associated with each of these familiar logics is the full one-step system for that intuitionistic logic. And further “blended” intuitionistic systems arise from joining these systems in various ways. Adding the 0-version of Excluded Middle to their intuitionistic counterparts yields the one-step systems corresponding to the familiar classical logics. Each proof-theoretic system defines a consequence relation in the obvious way. Section 10 examines inclusions between these consequence relations. Section 11 associates each of the above consequence relations with an appropriate class of models, and proves them sound with respect to their appropriate class. This allows proofs of some failures of inclusion between consequence relations. Section 12 proves that the each consequence relation is complete or weakly complete, that relative to its appropriate class of models. The Appendix presents three further results about some of the intuitionistic consequence relations discussed in the body of the paper. For Keywords, see Part 1. (shrink)

Once one accepts that certain things metaphysically depend upon, or are metaphysically explained by, other things, it is natural to begin to wonder whether these chains of dependence or explanation must come to an end. This essay surveys the work that has been done on this issue—the issue of grounding and infinite descent. I frame the discussion around two questions: (1) What is infinite descent of ground? and (2) Is infinite descent of ground possible? In addressing the second question, I (...) will consider a number of arguments that have been made for and against the possibility of infinite descent of ground. When relevant, I connect the discussion to two important views about the way reality can be structured by grounding: metaphysical foundationalism and metaphysical infinitism. (shrink)

This article constructively retrieves St. Anselm of Canterbury’s theory of retributive justice and provides a defense of what can be called the retributive model of hell. In the first part of this article, we develop the place of retributive punishment in Anselm’s thinking and discuss how and when retributive punishment is a good thing. In the second part, we apply Anselm’s thinking on retributive justice to the problem of hell and provide a defense of how hell, defined as a state (...) of receiving retributive, damnatory, and irreversible punishment, is good. We then address a series of objections. Despite some criticism that both Anselm and the retributive model of hell receive in the contemporary literature, Anselm’s account of retributive justice can make unique and constructive contributions to the contemporary discussion of hell; by retrieving and applying Anselm’s thought to the problem of hell, we intend to kill two birds with one stone. (shrink)

In the study of education, as in many more travelled regions of Classical scholarship, democratic Athens is something of a special case. The cautions formulation is appropriate: in the case of education, surprisingly few studies have sought to establish quite how special Athens was, and those which have, have often raised more questions than they answered. The subject itself is partly to blame. The history of education invites comparison with the present day, while those planning the future of education rarely (...) fail to invoke the past. The place of Classical Athens in European culture has ensured a place for Athenian education in almost every debate from the relation between education and democracy to the value of educationversustraining, and as the original champion of causes as varied as mass education, co-education, and the national curriculum. Desirable as it is to be in demand, such treatment is not calculated to produce the most circumspect account of the subject. The study of education is further hampered by the fact that our knowledge of Athenian culture is so vibrant and diverse in some ways and so partial in others. Plato and Aristophanes present a vivid fictional picture of education in the late fifth century. If we add a few passages from Xenophon and Aristotle, a large number of vases depicting men, women, and children reading, playing the lyre, and doing athletics, and one or two archaeological finds of an educational appearance, it is tempting to take the result as a clear portrait of a society at school. (shrink)

In recent years, there has been a heated debate about how to interpret findings that seem to show that humans rapidly and automatically calculate the visual perspectives of others. In the current study, we investigated the question of whether automatic interference effects found in the dot-perspective task (Samson, Apperly, Braithwaite, Andrews, & Bodley Scott, 2010) are the product of domain-specific perspective-taking processes or of domain-general “submentalizing” processes (Heyes, 2014). Previous attempts to address this question have done so by implementing inanimate (...) controls, such as arrows, as stimuli. The rationale for this is that submentalizing processes that respond to directionality should be engaged by such stimuli, whereas domain-specific perspective-taking mechanisms, if they exist, should not. These previous attempts have been limited, however, by the implied intentionality of the stimuli they have used (e.g. arrows), which may have invited participants to imbue them with perspectival agency. Drawing inspiration from “novel entity” paradigms from infant gaze-following research, we designed a version of the dot-perspective task that allowed us to precisely control whether a central stimulus was viewed as animate or inanimate. Across four experiments, we found no evidence that automatic “perspective-taking” effects in the dot-perspective task are modulated by beliefs about the animacy of the central stimulus. Our results also suggest that these effects may be due to the task-switching elements of the dot-perspective paradigm, rather than automatic directional orienting. Together, these results indicate that neither the perspective-taking nor the standard submentalizing interpretations of the dot-perspective task are fully correct. (shrink)

Relative to any reasonable frame, satisfiability of modal quantificational formulae in which “= ” is the sole predicate is undecidable; but if we restrict attention to satisfiability in structures with the expanding domain property, satisfiability relative to the familiar frames (K, K4, T, S4, B, S5) is decidable. Furthermore, relative to any reasonable frame, satisfiability for modal quantificational formulae with a single monadic predicate is undecidable ; this improves the result of Kripke concerning formulae with two monadic predicates.

Can the issue of how important it is whether or not there is a God be decided prior to deciding whether or not there is a God? In this paper, I explore some difficulties that stand in the way of answering this question in the affirmative and some of the implications of these difficulties for that part of the Philosophy of Religion which concerns itself with assessing arguments for and against the existence of God, the implications for how its importance (...) may best be defended within secular academe. (shrink)

What is sexual orientation? The contemporary consensus among philosophers is that it is a disposition. Unsurprisingly, recent debates about the metaphysics of sexual orientation are almost entirely intramural. Behavioral dispositionalists argue that sexual orientation is a disposition to behave sexually. Desire dispositionalists argue that it is a disposition to desire sexually. We argue that sexual orientation is not best understood in terms of dispositions to behave or dispositions to desire before arguing that dispositions tout court fail to illuminate sexual orientation. (...) We then introduce and defend the idea that sexual orientation is best understood in terms of categorical phenomenal properties of sexual arousal. (shrink)

Tennenbaum's Theorem yields an elegant characterisation of the standard model of arithmetic. Several authors have recently claimed that this result has important philosophical consequences: in particular, it offers us a way of responding to model-theoretic worries about how we manage to grasp the standard model. We disagree. If there ever was such a problem about how we come to grasp the standard model, then Tennenbaum's Theorem does not help. We show this by examining a parallel argument, from a simpler model-theoretic (...) result. (shrink)

Let I be a countable jump ideal in $\mathscr{D} = \langle \text{The Turing degrees}, \leq\rangle$ . The central theorem of this paper is: a is a uniform upper bound on I iff a computes the join of an I-exact pair whose double jump a (1) computes. We may replace "the join of an I-exact pair" in the above theorem by "a weak uniform upper bound on I". We also answer two minimality questions: the class of uniform upper bounds on I (...) never has a minimal member; if ∪ I = L α [ A] ∩ ω ω for α admissible or a limit of admissibles, the same holds for nice uniform upper bounds. The central technique used in proving these theorems consists in this: by trial and error construct a generic sequence approximating the desired object; simultaneously settle definitely on finite pieces of that object; make sure that the guessing settles down to the object determined by the limit of these finite pieces. (shrink)

Where AR is the set of arithmetic Turing degrees, 0 (ω ) is the least member of { $\mathbf{\alpha}^{(2)}|\mathbf{a}$ is an upper bound on AR}. This situation is quite different if we examine HYP, the set of hyperarithmetic degrees. We shall prove (Corollary 1) that there is an a, an upper bound on HYP, whose hyperjump is the degree of Kleene's O. This paper generalizes this example, using an iteration of the jump operation into the transfinite which is based on (...) results of Jensen and is detailed in [3] and [4]. In $\S1$ we review the basic definitions from [3] which are needed to state the general results. (shrink)

This paper presents a model-theoretic semantics for discourse "about" natural numbers, one that captures what I call "the mathematical-object picture", but avoids what I can "the mathematical-object theory".

Kant and Fichte developed the concept of a worldview as a way of reflecting on experience as a whole. But what does it mean to form a worldview? And what role did it play in the German Idealist tradition? This paper seeks to answer these questions through a detailed analysis of the form of a philosophical worldview and its historical portent, both of which remain unexplored in the literature. The dearth of attention is partially to blame on Kant’s desultory development (...) of it, as well as its place in Fichte’s understudied lectures on religion. In this paper, I first reconstruct Kant’s conception as the starting point and then trace it to Fichte who went on to evolve it further. Fichte endorses the basic conceptual shape pioneered by Kant, namely, a reflective process of positing an idea and then checking the coherence of necessary judgments relative to it. However, Fichte came to realize that its philosophical function needed expanding. Beyond recognizing the possibility for alternative worldviews, Fichte further fleshed out how worldview creation could lead to human flourishing. The common feature between both thinkers is that the formation of a worldview aims to turn philosophy into a life-orienting exercise. (shrink)

Kant’s accounts of the Highest Good and the moral argument for God and immortality are central features of his philosophy. But both involve lingering puzzles. In this entry, we first explore what the Highest Good is for Kant and the role it plays in a complete account of ethical life. We then focus on whether the Highest Good involves individuals only, or whether it also connects with Kant’s doctrines about the moral progress of the species. In conclusion, we look into (...) three ways of articulating the moral argument for God and immorality that take our commitment to the Highest Good as their point of departure. (shrink)

This article introduces the notion of duplex elements of the finite rings and corresponding neutrosophic rings. The authors establish duplex ring Dup(R) and neutrosophic duplex ring Dup(R)I)) by way of various illustrations. The tables of different duplicities are constructed to reveal the comparison between rings Dup(Zn), Dup(Dup(Zn)) and Dup(Dup(Dup(Zn ))) for the cyclic ring Zn . The proposed duplicity structures have several algebraic systems with dissimilar consequences. Author’s characterize finite rings with R + R is different from the duplex ring (...) Dup(R). However, this characterization supports that R + R = Dup(R) for some well known rings, namely zero rings and finite fields. (shrink)

Considérez les énoncés suivants : « La bombe a causé la destruction du pont » ; « L’explosion de la bombe a causé la destruction du pont » ; « Booth a causé la mort de Lincoln » ; et « Le tir de Booth a causé la mort de Lincoln ». Ces énoncés suggèrent que les objets, tels que les bombes ou les personnes, font partie de la catégorie ontologique des causes, au même titre que les évènements, comme le (...) tir de Booth et l’explosion de la bombe. À première vue, le fait que les objets et les personnes puissent être des causes n’a rien de particulièrement surprenant. Cependant, les philosophes du XXe siècle ont fait preuve d’une extrême méfiance à l’égard de cette idée. Une majorité de philosophes ont trouvé l’idée même de causalité par des objets ou des agents inintelligible, à tel point que les théories standards de la causalité présupposent que les entités reliées comme causes à effets sont des évènements, ou encore des faits, des propriétés ou des états. Pourtant, cette hostilité à l’égard de la causalité des objets est relativement récente ; la causalité agentive semble, au moins jusqu’à Thomas Reid (1710-1796), avoir été la norme, et non le mystère. La mise à l’écart des objets et des agents de la catégorie de cause est-elle justifiée ? Un nombre grandissant de philosophes, les agentialistes (agent-causalists), soutiennent que non et cherchent à réhabiliter l’idée de causalité agentive (par des agents) et/ou substantielle (par des substances), tandis que d’autres, les évènementialistes (event-causalists), défendent que celle-ci est au mieux réductible à la causalité entre évènements, ou au pire que l’idée est incohérente. L’importance de cette question n’est pas négligeable, car elle revient à demander quels sont les moteurs du changement. En effet, nous voulons savoir si certains objets tels que les couteaux, les bombes, les animaux et les personnes sont parfois à l’origine du changement, ou si tout effet procède uniquement de changements antérieurs, d’évènements. Existe-t-il une relation causale, la causalité agentive ou substantielle, reliant objets et changements, différente des relations causales habituellement traitées par les philosophes de la causalité ? Quelle est sa relation avec la causalité évènementielle ? Et comment fonctionne-t-elle ? (shrink)

Summary: Throughout the history of science, indeed throughout the history of knowledge, unification has been touted as a central aim of intellectual inquiry. We’ve always wanted to discover not only numerous bare facts about the universe, but to show how such facts are linked and interrelated. Large amounts of time and effort have been spent trying to show diverse arrays of things can be seen as different manifestations of some common underlying entities or properties. Thales is said to have originated (...) philosophy and science with his declaration that everything was, at base, a form of water. Plato’s theory of the forms was thought to be a magnificent accomplishment because it gave a unified solution to the separate problems of the relation between knowledge and belief, the grounding of objective values, and how continuity is possible amid change. Pasteur made numerous medical advancements possible by demonstrating the interconnection between microorganisms and human disease symptoms. Many technological advances were aided by Maxwell’s showing that light is a kind of electromagnetic radiation. The attempt to unify the various known forces is often referred to as “The Holy Grail” of physics. Some philosophers have even suggested that providing explanations is itself just a sort of unifying of our knowledge. But while unification (like simplicity) has often been hailed as a tremendous virtue in science, the meaning of the term is not altogether clear. Scientists often don’t specify what, precisely, they mean by unification. And in cases where what they mean is clear, different thinkers plainly mean different things by the term. What are the various senses of unification, and why has unification been such an important aim in the history of inquiry? (shrink)

There are at least three vaguely atomistic principles that have come up in the literature, two explicitly and one implicitly. First, standard atomism is the claim that everything is composed of atoms, and is very often how atomism is characterized in the literature. Second, superatomism is the claim that parthood is well-founded, which implies that every proper parthood chain terminates, and has been discussed as a stronger alternative to standard atomism. Third, there is a principle that lies between these two (...) theses in terms of its relative strength: strong atomism, the claim that every maximal proper parthood chain terminates. Although strong atomism is equivalent to superatomism in classical extensional mereology, it is strictly weaker than it in strictly weaker systems in which parthood is a partial order. And it is strictly stronger than standard atomism in classical extensional mereology and, given the axiom of choice, in such strictly weaker systems as well. Though strong atomism has not, to my knowledge, been explicitly identified, Shiver appears to have it in mind, though it is unclear whether he recognizes that it is not equivalent to standard atomism in each of the mereologies he considers. I prove these logical relationships which hold amongst these three atomistic principles, and argue that, whether one adopts classical extensional mereology or a system strictly weaker than it in which parthood is a partial order, standard atomism is a more defensible addition to one’s mereology than either of the other two principles, and it should be regarded as the best formulation of the atomistic thesis. (shrink)

In the Critique of Pure Reason, Kant states that ideas give us the rule for organizing experience and ideals serve as archetypes or standards against which one can measure copies. Further, he states that ideas and ideals can be practical. Understanding how precisely these concepts should function presents a challenging and understudied philosophical puzzle. I offer a reconstruction of how ideas and ideals might be practical in order to uphold, to my mind, a conceptually worthy distinction. A practical idea, I (...) argue, is best understood as a reference to the categorical imperative (and its various formulations), which guides conduct directly as a rule. A practical ideal, by contrast, I think is a substrate that serves two functions: one that (a) helps us gauge moral deficiencies and another that (b) reveals the potential for moral improvement. In response to well-grounded sceptical concerns, I argue that ideals are indirectly practical in that they ground the possibility to recognise moral states of affairs and be moral in the first place. (shrink)