Die Beschäftigung mit Platon hat eine lange Geschichte, Rezeptionen seines Denkens sind so prägend für die Philosophiegeschichte geworden, dass diese verständlicherweise zuweilen als eine Sammlung von Fußnoten zu seinem Werk begriffen wurde. Das gilt besonders für einen durchgängigen metaphysischen Zug des abendländischen Denkens, ein grundsätzliches Ordnungsmodell aus der Antike, das, christlich gewendet, die Theoriebildung bis in unsere Tage fundiert. Aber mit einer Reihe anderer Gewissheiten ist auch dieser erfolgreiche Platonismus Gegenstand der Kritik geworden. Kann und soll man den metaphysischen (...) Platon retten oder muss man Platon vielmehr gegen die metaphysische Tradition neu verstehen? Muss man Platon gegen die Platonisten verteidigen, ist er der Anfang einer philosophischen Verirrung? -- Dorothea Frede, Ekkehard Martens, Arbogast Schmitt, Gernot Böhme, Hermann Schmitz, Wolfgang Detel und andere entdecken – auch durch ihre Kritik – Platon als Gesprächspartner der Gegenwart neu. (shrink)

In the last decades a growing body of literature in Artificial Intelligence (AI) and Cognitive Science (CS) has approached the problem of narrative understanding by means of computational systems. Narrative, in fact, is an ubiquitous element in our everyday activity and the ability to generate and understand stories, and their structures, is a crucial cue of our intelligence. However, despite the fact that - from an historical standpoint - narrative (and narrative structures) have been an important topic of investigation in (...) both these areas, a more comprehensive approach coupling them with narratology, digital humanities and literary studies was still lacking. With the aim of covering this empty space, in the last years, a multidisciplinary effort has been made in order to create an international meeting open to computer scientist, psychologists, digital humanists, linguists, narratologists etc.. This event has been named CMN (for Computational Models of Narrative) and was launched in the 2009 by the MIT scholars Mark A. Finlayson and Patrick H. Winston1. (shrink)

Future robots should have common sense about the world in order to handle the problems they will encounter. A large part of this commonsense knowledge must be naive physics knowledge, since carrying out even the simplest everyday chores requires familiarity with physics laws. But how should one start codifying this knowledge? What kind of skills should be elicited from the experts (each and every one of us)? This paper will attempt to provide some hints by studying the mental models (...) of force and motion. (shrink)

This article discusses Sven Ove Hansson’s corpus model for the influence of values (in particular, non-epistemic ones) in the hypothesis acceptance/rejection phase of scientific inquiry. This corpus model is based on Hansson’s concepts of scientific corpus and science ‘in the large sense’. I first present Hansson’s corpus model of value influence with some introductory comments about its origins, a detailed presentation of the model with a new terminology, an analysis of its limits, and an appreciation of (...) its handling of controversial non-epistemic values. I conclude that it is a very good candidate for managing value influence, because contrary to other models in the literature it is fairly simple, it provides a universal and systematic procedure for dealing with values, and it syste- matically preserves the epistemic integrity of science. I then study some difficulties associated with the model’s central feature of taking the maximum level of evidence required by the applications of a claim in order for the latter to enter the scientific corpus: the difficulty to identify this maximum requirement; the non-optimality of this requirement with respect to other less demanding requirements; the potentially detrimental consequences of the preference for false negatives over false positives on which it relies; and the issue of whether there can nevertheless be requirements higher than this maximum. I show that these issues may potentially challenge the corpus model. Finally, I call for empirical work (in particular, an investigation of scientists’ and engineers’ own normative views) in order to better assess these issues. (shrink)

This paper intends to further the understanding of the formal properties of (higher-order) vagueness by connecting theories of (higher-order) vagueness with more recent work in topology. First, we provide a “translation” of Bobzien's account of columnar higher-order vagueness into the logic of topological spaces. Since columnar vagueness is an essential ingredient of her solution to the Sorites paradox, a central problem of any theory of vagueness comes into contact with the modern mathematical theory of topology. Second, Rumfitt’s (...) recent topological reconstruction of Sainsbury’s theory of prototypically defined concepts is shown to lead to the same class of spaces that characterize Bobzien’s account of columnar vagueness, namely, weakly scattered spaces. Rumfitt calls these spaces polar spaces. They turn out to be closely related to Gärdenfors’ conceptual spaces, which have come to play an ever more important role in cognitive science and related disciplines. Finally, Williamson’s “logic of clarity” is explicated in terms of a generalized topology (“locology”) that can be considered an alternative to standard topology. Arguably, locology has some conceptual advantages over topology with respect to the conceptualization of a boundary and a borderline. Moreover, in Williamson’s logic of clarity, vague concepts with respect to a notion of a locologically inspired notion of a “slim boundary” are (stably) columnar. Thus, Williamson’s logic of clarity also exhibits a certain affinity for columnar vagueness. In sum, a topological perspective is useful for a conceptual elucidation and unification of central aspects of a variety of contemporary accounts of vagueness. (shrink)

According to the order ethics approach to business ethics, moral rules must be im-plemented by institutions that provide incentives for following the rules. As a minimal (normative) condition, these institutions must be able to motivate the homo eco-nomicus. But even if an institution passes this test, it will only motivate actual people (i.e. the homo psychologicus) to follow moral rules, if they have the relevant compe-tences and self-efficacy beliefs. Consequently, good institutional design includes com-prehensive change management. At this point (...) applied order ethics can draw on find-ings of psychology and experimental economics. It turns out, that role models can support self-efficacy beliefs and are thus more important for order ethics than has traditionally been assumed. (shrink)

Coherence and correspondence are classical contenders as theories of truth. In this paper we examine them instead as interacting factors in the dynamics of belief across epistemic networks. We construct an agent-based model of network contact in which agents are characterized not in terms of single beliefs but in terms of internal belief suites. Individuals update elements of their belief suites on input from other agents in order both to maximize internal belief coherence and to incorporate ‘trickled in’ (...) elements of truth as correspondence. Results, though often intuitive, prove more complex than in simpler models (Hegselmann & Krause 2002, 2006; Grim, Singer, Reade & Fisher 2015). The optimistic finding is that pressures toward internal coherence can exploit and expand on small elements of truth as correspondence is introduced into epistemic networks. Less optimistic results show that pressures for coherence can also work directly against the incorporation of truth, particularly when coherence is established first and new data is introduced later. (shrink)

This original research hypothesises that the most fundamental building blocks of logical descriptions of cognitive, or knowledge, agents’ descriptions are expressible based on their conceptions (of the world). This article conceptually and logically analyses agents’ conceptions in order to offer a constructivist- based logical model for terminological knowledge. The most significant characteristic of [terminological] knowing is that there are strong interrelationships between terminological knowledge and the individualistic constructed, and to-be-constructed, models of knowledge. Correspondingly, I conceptually and logically analyse (...) conception expressions based on terminological knowledge, and I show how terminological knowledge may reasonably be assumed to be constructed based on the agents’ conceptions of the world. The focus of my model is on terminological knowledge structures, which may find applications in such diverse fields as the Semantic Web and educational/learning systems. (shrink)

This paper is an expanded written version of my reply to Rosanna Keefe’s paper ‘Modelling higher-order vagueness: columns, borderlines and boundaries’ (Keefe 2015), which in turn is a reply to my paper ‘Columnar higher-order vagueness, or Vagueness is higher-order vagueness’ (Bobzien 2015). Both papers were presented at the Joint Session of the the Aristotelian Society and the Mind Association in July, 2015. At the Joint Session meeting, there was insufficient time to present all of my points in (...) response to Keefe’s paper. In addition, the audio of the session, which is available online, becomes inaudible at the beginning of my reply to Keefe’s comments due to a technical defect. The following is a full version of my remarks. (shrink)

In this four part essay I present a comprehensive model of health based on the generalized empirical method of Bernard Lonergan, which integrates the empirical method of natural science and the phenomenological method of historical and related human sciences in a way that is unique among contemporary thinkers. The GEM model, in turn, offers a unique framework - a higher viewpoint - for integrating the manifold viewpoints of clinical practice, the humanities (the drama and narrative of human living), (...) health science and health policy in a methodically dynamic and critically progressive fashion in order to address the many pressing problems of contemporary healthcare. (shrink)

I give a defense of the Massive Modularity hypothesis: the view that the mind is composed of discrete, encapsulated, informationally isolated computational structures dedicated to particular problem domains. This view contrasts with Psychological Rationalism: the view that mental structures take the form of unencapsulated representational items, all available as inputs to one domain-general computational processor. I argue that although Psychological Rationalism is in principle able to overcome the `intractability objection', the view must borrow many features of a massively modular architecture (...) in order to do so, that although it can, in principle, overcome the `optimality objection', the way it does so does not correlate with the way we think, and that although it can, in principle, respond to the `argument from biology', it cannot do so without advancing an unrealistic and unsupported account of cognitive evolution. (shrink)

In this paper I begin by extending two results of Solovay; the first characterizes the possible Turing degrees of models of True Arithmetic (TA), the complete first-order theory of the standard model of PA, while the second characterizes the possible Turing degrees of arbitrary completions of P. I extend these two results to characterize the possible Turing degrees of m-diagrams of models of TA and of arbitrary complete extensions of PA. I next give a construction showing that the (...) conditions Solovay identified for his characterization of degrees of models of arbitrary completions of PA cannot be dropped (I showed that these conditions cannot be simplified in the paper. (shrink)

The current “exemplarist turn” within virtue ethics is increasingly shedding light on the importance of exemplars both as enabling one to identify the virtues and for the importance they bear for orienting one’s conduct, as well as for educating the novice. However, even if categorizations of exemplars have already been proposed, there seems to be a lack of discussion on the kind of imitation different exemplars are supposed to elicit. In order to offer a preliminary answer to this question, (...) in this paper I present three paths to flourishing via imitation of exemplary individuals: The Platonic, the Stoic, and the Aristotelian. Then, I sketch an attempt to reconcile these models. In conclusion, I suggest that, when it comes to education, this reconciliation becomes necessary. Along these lines, I recommend that a multi-step educational program is elaborated. (shrink)

The Protagoras is the touchstone of Socrates’ moral intellectualist stance. The position in a nutshell stipulates that the proper reevaluation of a desire is enough to neutralize it.[1] The implication of this position is that akrasia or weakness of will is not the result of desire (or fear for that matter) overpowering reason but is due to ignorance. -/- Socrates’ eliminativist position on weakness of will, however, flies in the face of the common-sense experience regarding akratic action and thus Aristotle (...) was at pains to render Socrates’ account of moral incontinence intelligible. The key improvement Aristotle makes to Socrates’s model is to underscore that the conditioning of the akratic’s body plays a critical role in determining the power of one’s appetites and, accordingly, the capacity of one to resist the temptations these appetites present for rational evaluation. As Aristotle puts it, “For the incontinent man is like the people who get drunk quickly and on little wine, i.e., on less than most people.” (1151a 3-4). Aristotle presents what I shall call a somatic paradigm (i.e. the drunkard analogy) in order to tackle the problem of akrasia and it is this somatic solution that marks a significant improvement over Socrates’s intellectualist or informational model or so the tradition tells us. -/- In this paper, I wish to push back on the above Aristotelian explanation. I argue that when one fully examines Socrates’ account of weakness of will that Aristotle’s solution is less effective than is traditionally thought. In fact, Socrates can bring Aristotle’s model into his own; just as Aristotle absorbs what is right about Socrates’s model, namely, that akratic action utilizes reason but to a limited degree, Socrates in Meno (77C-78A) develops his own somatic model of weakness of will that connects to the intellectualist paradigm of the Protagoras. To achieve this rapprochement between the two models, I zero in on the description provided by Socrates of those individuals who desire bad things knowing they are bad as “ill-starred” or “bad spirited” (κακοδαίμων ). The “bad-spirited” is the coward and, in contrast to Aristotle’s drunkard, becomes fearful quickly from little danger. This additional somatic component, when connected to Socrates’s position on akrasia in Protagoras adds a new twist to Socrates’s model in the following way: while no one wishes to be ill-starred such that more harm than good will befall one, one may become so as a result of the bad choices one knowingly makes. -/- -/- [1] “After him came Socrates, who spoke better and further about this subject, but even he was not successful. For he used to make the virtues into sciences, and this is impossible. For the sciences all involve reason, and reason is to be found in the intellectual part of the soul. So that all the virtues, according to him arise in the rational part of the soul. The result is that in making the virtues into sciences he is doing away with the nonrational part of the soul and is thereby doing away with passion and character…” (Aristotle, Magna Moralia 1.1. 1182 a15-26). (shrink)

Schröedinger’s question “what is life?” was a real challenge for the scientific community and this still remains as an opened question, because in spite of the important advances in various scientific branches like philosophy, biology, chemistry and physics,, each of them assesses life from its particular point of view to explain the life’ characteristic features, so not a coherent and well structured general model of life was reported. In this paper life is approached from informational perspective, starting from earlier (...) Draganeacu's philosophic concepts, showing that actually life is structured by matter and information. Therefore, it is analyzed carbon-matter properties on the basis of which the living structures are composed, giving rise not only of a considerable number of carbon-based compounds, but serving now beside silicon, as an useful material for micro/nanostructure applications. Such specific properties refers to the high ability of carbon to associate/dissociate in chemical reactions regulated/facilitated by informational (Bit unit) YES/NO bistable mechanisms to form macro/small molecules with complementary properties, reactive info-functional pathways of transduction, relaying, amplification, integration, spreading, modulation, activation and positive/negative feedback reactions, like in the informational microelectronic/microsystems circuits. It is argued that the negentropy invoked earlier in Schrödinger's analysis is a consequence of informational-assisted structuration/organization of the cell and human organism. From the analysis of inter/intra-communication mechanisms in the cell and comparing with the outcomes described by the Informational Model of Human Body, it is deduced that, the living organisms operate on the basis of three main streaming circuits assuring the living functions: (1) the metabolic matter-related circuit; (2) the operative informational circuit; (3) the epigenetic informational circuit for the gradual integration of information in the central informational structure – DNA. It is founded on these bases the Informational Model of the Living Structures, and the Informational System of the Living Structures (ISLS), with similar functions on the entire living scale size, from unitary to multicellular living structures, composed by seven informational systems, namely [CASI (center of acquisition and storing of information), CDC (center of decision and command), IRSS (info-reactive sentient system), MIS (maintenance info-system), GTS (genetic transmission system), IGG (info-genetic generator) and IC (info-connection)]ISLS, and are identified the specific functions of each of them. The living structures operate thus like self-“polarized" bipolar info-matter informational devices by means of the stand-by metabolic matter-related circuit, and react/respond to the external/internal informational stimuli, which modulate their functionality, returning an external reaction signal (“attitude"), for adaptation and survival. (shrink)

In this paper we view the first order set theory ZFC under the canonical frst order semantics and the second order set theory ZFC_2 under the Henkin semantics. Main results are: (i) Let M_st^ZFC be a standard model of ZFC, then ¬Con(ZFC + ∃M_st^ZFC ). (ii) Let M_stZFC_2 be a standard model of ZFC2 with Henkin semantics, then ¬Con(ZFC_2 +∃M_stZFC_2). (iii) Let k be inaccessible cardinal then ¬Con(ZFC + ∃κ). In order to obtain the (...) statements (i) and (ii) examples of the inconsistent countable set in a set theory ZFC + ∃M_stZFC and in a set theory ZFC2 + ∃M_st^ZFC_2 were derived. It is widely believed that ZFC + ∃M_stZFC and ZFC_2 + ∃M_st^ZFC_2 are consistent, i.e. ZFC and ZFC_2 have a standard models. Unfortunately this belief is wrong. Book. Advances in Mathematics and Computer Science Vol. 1 Chapter 3 There is No Standard Model of ZFC and ZFC2 ISBN-13 (15) 978-81-934224-1-0 See Part II of this paper DOI: 10.4236/apm.2019.99034 . (shrink)

In this paper, we propose a mathematical model of subjective experience in terms of classes of hierarchical geometries of representations (“n-awareness”). We first outline a general framework by recalling concepts from higher category theory, homotopy theory, and the theory of (infinity,1)-topoi. We then state three conjectures that enrich this framework. We first propose that the (infinity,1)-category of a geometric structure known as perfectoid diamond is an (infinity,1)-topos. In order to construct a topology on the (infinity,1)-category of diamonds we (...) then propose that topological localization, in the sense of Grothendieck-Rezk-Lurie (infinity,1)-topoi, extends to the (infinity,1)-category of diamonds. We provide a small-scale model using triangulated categories. Finally, our meta-model takes the form of Efimov K-theory of the (infinity,1)-category of perfectoid diamonds, which illustrates structural equivalences between the category of diamonds and subjective experience (i.e.its privacy, self-containedness, and self-reflexivity). Based on this, we investigate implications of the model. We posit a grammar (“n-declension”) for a novel language to express n-awareness, accompanied by a new temporal scheme (“n-time”). Our framework allows us to revisit old problems in the philosophy of time: how is change possible and what do we mean by simultaneity and coincidence? We also examine the notion of “self” within our framework. A new model of personal identity is introduced which resembles a categorical version of the “bundle theory”: selves are not substances in which properties inhere but (weakly) persistent moduli spaces in the K-theory of perfectoid diamonds. (shrink)

The conceptual model of United Nations reform - "UN 3.0" includes the General Program of Action on UN Reform, consisting of two stages. The first stage for 2020-2025 envisages the transformation of the main organs of the UN - the General Assembly and the Security Council with measures to improve the effectiveness of the management system, address the "veto problem", problem of financing, improve staff work and administrative and financial control, strengthen UN media, improvement of work with the global (...) civil society. The General Assembly is converted into the General All-Parliamentary Assembly of the UN. In the structure of the Assembly, the Council for Law is being established, which coordinates the activities of UN structures in the field of law. To coordinate the activities of the UN in the field of human rights and civil society, ethical issues, the General all-parliamentary Assembly creates the Council on ethics, human rights and civil society and transforms the Committee on information into the Council on public information and communication with civil society. The structure of the Council includes all UN media. The reform of the UN Security Council is carried out in three sub-stages. At the 1st sub-stage (2020-2021) the Security Council is transformed into the Council of Existential Security (CES). The membership of the CES is increased to 25 member countries, of which five countries have the right of the unconditional (absolute, eternal) veto: Great Britain, France, China, Russian Federation, USA. The General All-Parliamentary Assembly elects 15 new permanent members of the Council of Existential Security with the right of the conditional (limited) veto: Argentina, Australia, Brazil, Canada, Egypt, Germany, India, Indonesia, Italy, Mexico, South Africa, Nigeria, Pakistan , Turkey, Japan (if they fulfill the mandatory restrictive conditions). At this sub-stage, the CES elects also five non-permanent members with the right of a conditional (limited) veto when they meet the mandatory restrictive conditions, with a rotation period of 2 years from geographical regions (or regional unions): Africa, Latin America and the Caribbean, Asia and the Pacific Ocean (2 places), Eastern Europe. On the second sub-stage (2022-2023), subject to the effective activity of the CES of the enlarged composition and compliance with mandatory restrictive conditions, new permanent members of the "Existential Security Council" are elected with the right of a conditional (limited) veto: Iran, Spain, Poland, Saudi Arabia. Members of the CES may be regional unions, whose member countries are not represented in the CES, but still have one vote with the right of a conditional (limited) veto. -/- Two essential levels of the veto: 1. Unconditional (absolute, eternal) veto is the historical right of veto of the five permanent members of the Council of Existential Security - Great Britain, China, Russia, USA, France; 2. Сonditional (limited) veto is the veto of other permanent and non-permanent members of the Council of Existential Security. The right of veto is a unique international school for the achievement of consensus, a school of high democracy for Humanity, a reliable guarantee of the viability of the UN structure. The Council for Existential Security centralises the management of the UN subsidiary bodies with the expansion of their security functions: the Military Staff Committee, the Counter-Terrorism Committee, the Committee for the Prevention of the Spread of Nuclear, Chemical and Biological Weapons, the Sanctions Committees and other committees. On the basis of the decision of the Council of Existential Security, the General All-Parliamentary Assembly creates permanent contingents of UN peacekeeping and counter-terrorism forces. In addition, two Centers are being created in the structure of the Council for Existential Security: the World Center for the Elimination of the Effects of Technogenic and Natural Disasters with branches on all continents and the World Center for the Analysis of Existential Risks and the Overall Security Strategy. The Center is developing the Programs of research and monitoring of global existential threats and risks. In order to increase the level of legitimacy and authority of the Secretary General of the United Nations, the Rules of procedure for elections to this post are changing. Each member country of the Council for Existential Security represents one of the most authoritative candidates for election to the post of Secretary General at the session of the General All-Parliamentary Assembly, with the possibility of nominating candidates from other countries, including those not members of the Council for Existential Security. Elections are held in two rounds during one day of the session of the Assembly. The Legal Committee of the UN General Assembly is developing a Program for the Reform of the Judicial System of the United Nations, which takes into account the proposals of the previous international discussion and determines the scope and terms of the reform of the courts. In accordance with the Program of Action on UN Reform for 2020-2025, reforms are under way in the structure of the Economic and Social Council. The central task of the reform is to strengthen the coordinating role of ECOSOC in the entire system of UN-related specialized agencies, funds and programs related to the Council. The key task of the UN reform is the solution of the financing problem. A unified "UN Open Budget "Solidarity XXI" is being created, including the financing of peacekeeping operations and other expenses. Each country, a member of the United Nations, lists in an established period, once a year, an Existential contribution - the Earth Tax. The Earth Tax for each UN member state is established on the basis of four scales of calculation: Scale I - for 5 permanent members of the Council of Existential Security, who have the right of absolute (absolute) veto; Scale II - for the permanent members of the SEB, who have the right to a conditional (limited) veto; Scale III - for non-permanent members of the SEB, who have the right to a conditional (limited) veto; Scale IV - for all other UN member countries. The program of action on UN reform includes a set of measures to ensure transparent work of the International Civil Service Commission with the involvement of the UN media. To strengthen control functions in the sphere of personnel policy, administrative and financial management, the General All-Parliamentary Assembly of the United Nations establishes the Permanent Commission on Ethics and Administrative and Financial Control. All members of the Commission, members of the Committees and auditors are independent in their activities from the leadership of the United Nations, its funds and programs. The General All-Parliamentary Assembly completes the first stage of the Program of Action on UN Reform in 2025 and, following an open discussion, introduces a single language of international communication - Esperanto and approves it as the official language of the United Nations. With a view to more effective work of the central UN governing bodies in the face of increasing existential threats and risks, reducing the current expenses for the maintenance of the central bodies of the UN, the Council for Existential Security and the General All-Parliamentary Assembly decide on the relocation of the UN headquarters to Iceland. The UN building complex in New York is transferred to preferential use of non-governmental organizations, which contribute to the implementation of the goals of the United Nations. At the second stage of the UN reform in the period 2026-2028, additional necessary transformations are being made in the UN system. At the end of the first stage of the reform, taking into account the reforms carried out by the main organs of the United Nations and the internal improvement of the work of all its structures, the United Nations Program of Action for the years 2026-2028 is being developed. (shrink)

In his famous 1982 paper, Allen Newell [22, 23] introduced the notion of knowledge level to indicate a level of analysis, and prediction, of the rational behavior of a cognitive arti cial agent. This analysis concerns the investigation about the availability of the agent knowledge, in order to pursue its own goals, and is based on the so-called Rationality Principle (an assumption according to which "an agent will use the knowledge it has of its environment to achieve its goals" (...) [22, p. 17]. By using the Newell's own words: "To treat a system at the knowledge level is to treat it as having some knowledge, some goals, and believing it will do whatever is within its power to attain its goals, in so far as its knowledge indicates" [22, p. 13]. In the last decades, the importance of the knowledge level has been historically and system- atically downsized by the research area in cognitive architectures (CAs), whose interests have been mainly focused on the analysis and the development of mechanisms and the processes governing human and (arti cial) cognition. The knowledge level in CAs, however, represents a crucial level of analysis for the development of such arti cial general systems and therefore deserves greater research attention [17]. In the following, we will discuss areas of broad agree- ment and outline the main problematic aspects that should be faced within a Common Model of Cognition [12]. Such aspects, departing from an analysis at the knowledge level, also clearly impact both lower (e.g. representational) and higher (e.g. social) levels. (shrink)

Open peer commentary on the article “Constructivist Model Building: Empirical Examples From Mathematics Education” by Catherine Ulrich, Erik S. Tillema, Amy J. Hackenberg & Anderson Norton. Upshot: I argue that radical constructivism poses a series of deep methodological constraints on educational research. We focus on the work of Ulrich et al. to illustrate the practical implications of these constraints.

The project of “public reason” claims to offer an epistemological resolution to the civic dilemma created by the clash of incompatible options for the rational exercise of freedom adopted by citizens in a diverse community. The present Article proposes, via consideration of a contrast between two classical accounts of dialectical reasoning, that the employment of “public reason,” in substantive due process analysis, is unworkable in theory and contrary to more reflective Supreme Court precedent. Although logical commonalities might be available to (...) pick out from the multitude of particularized accounts of what constitutes “civic order,” no “public reason” so derived could adequately capture - and thus be able to secure in a practical sense - any single determinate civic order, much less one that would be consistent with all citizens' conceptions of public order. Part I of this Article raises a number of issues for consideration relating to the epistemology of law and focuses especially on the concept of public reason and its critique. Part II addresses alternative approaches to legal reasoning suggested by classical accounts of practical reasoning and virtue theory and considers the operation of such legal analysis outside the area of substantive due process; Part III analyzes post-Lawrence case law confirming the dilemma created by the Supreme Court's ambiguous approaches to substantive due process and concludes that only one interpretation - that articulated fully in Washington v. Glucksberg and given lip service in Lawrence v. Texas - provides a method for resolving novel substantive due process challenges that is philosophically sound as well as historically coherent. Rather than perpetuating a fiction that denies the propriety of lawmaking unless based on principles that all citizens can rationally agree upon, an appropriate model of substantive due process analysis recognizes that law must inevitably be based upon principles that cannot be agreed upon by all citizens in virtue of rationality alone. -/- Abstract Footnotes (291) Beta -/- Revise My Submission -/- -/- One-Click Download | Share | Email | Add to Briefcase -/- Facebook | Twitter | Digg | Del.icio.us | CiteULike | Permalink Using the URL or DOI link below will ensure access to this page indefinitely -/- Based on your IP address, your paper is being delivered by: New York, USA Processing request. [Processing request.] Illinois, USA Processing request. [Processing request.] Brussels, Belgium Processing request. [Processing request.] Seoul, Korea Processing request. [Processing request.] California, USA Processing request. [Processing request.] -/- If you have any problems downloading this paper, please click on another Download Location above, or view our FAQ File name: SSRN-id1004757. ; Size: 424K -/- Sample Cover You will receive a black and white printed and perfect bound version of this document in 8 1/2 x 11 inch format, with glossy color front and back covers. Currently shipping to the US addresses only. Your order will be shipped within three business days. Quantity: Total Price = $0.50 plus shipping (U.S. Only) -/- If you have any problems with this purchase, please email [email protected] or call 1-585-442-8170. Reason's Freedom and the Dialectic of Ordered Liberty -/- Edward C. Lyons University of Notre Dame Law School -/- Cleveland State Law Review, Vol. 55, p. 157, 2007 -/- Abstract: The project of "public reason" claims to offer an epistemological resolution to the civic dilemma created by the clash of incompatible options for the rational exercise of freedom adopted by citizens in a diverse community. The present Article proposes, via consideration of a contrast between two classical accounts of dialectical reasoning, that the employment of "public reason," in substantive due process analysis, is unworkable in theory and contrary to more reflective Supreme Court precedent. Although logical commonalities might be available to pick out from the multitude of particularized accounts of what constitutes "civic order," no "public reason" so derived could adequately capture - and thus be able to secure in a practical sense - any single determinate civic order, much less one that would be consistent with all citizens' conceptions of public order. -/- Part I of this Article raises a number of issues for consideration relating to the epistemology of law and focuses especially on the concept of public reason and its critique. Part II addresses alternative approaches to legal reasoning suggested by classical accounts of practical reasoning and virtue theory and considers the operation of such legal analysis outside the area of substantive due process; Part III analyzes post-Lawrence case law confirming the dilemma created by the Supreme Court's ambiguous approaches to substantive due process and concludes that only one interpretation - that articulated fully in Washington v. Glucksberg and given lip service in Lawrence v. Texas - provides a method for resolving novel substantive due process challenges that is philosophically sound as well as historically coherent. -/- Rather than perpetuating a fiction that denies the propriety of lawmaking unless based on principles that all citizens can rationally agree upon, an appropriate model of substantive due process analysis recognizes that law must inevitably be based upon principles that cannot be agreed upon by all citizens in virtue of rationality alone. -/- Keywords: substantive due process, practical reason, public reason, Rawls, Casey, Lawrence, Glucksberg, Plato, Aristotle, Kant, Hegel, dialectic, autonomy, freedom -/- . (shrink)

According to our understanding of the everyday physical world, observable phenomena are underpinned by persistent objects that can be reidentified across time by observation of their distinctive properties. This understanding is reflected in classical mechanics, which posits that matter consists of persistent, reidentifiable particles. However, the mathematical symmetrization procedures used to describe identical particles within the quantum formalism have led to the widespread belief that identical quantum particles lack either persistence or reidentifiability. However, it has proved difficult to reconcile these (...) assertions with the fact that identical particles are routinely assumed to be reidentifiable in particular circumstances. For example, when two electrons move through a bubble chamber, each is said to generate a sequence of bubbles that is caused by one and the same particle. Moreover, neither of these assertions accounts for the mathematical form of the symmetrization procedures used to describe identical particles within the quantum framework, leaving open theoretical possibilities other than bosonic and fermionic behavior, such as paraparticles, which do not appear to be realized in nature. Here we propose the novel idea that both persistence and nonpersistence models must be employed in order to fully account for the behaviour of identical particles. Thus, identical particles are neither persistent nor nonpersistent. We prove the viability of this viewpoint by showing how Feynman's and Dirac's symmetrization procedures arise through a synthesis of a quantum treatment of these models, and by showing how reidentifiability emerges in a context-dependent manner. We further show that the persistence and nonpersistence models satisfy the key characteristics of Bohr's concept of complementarity, and thereby propose that the behavior of identical particles is a manifestation of a persistence-nonpersistence complementarity, analogous to Bohr's wave-particle complementarity for individual particles. Finally, we construct a precise parallel between these two complementarities, and detail their conceptual similarities and dissimilarities. (shrink)

Lexical semantics has a problem. As Allesandro Lenci put it, the problem is that it cannot distinguish semantic from non-semantic relationships within its data. (2008, 2014). The data it relies on are patterns of co-occurrence of lexemes within linguistic corpora. But patterns of co-occurrence can reflect either our knowledge of what the world is like or our knowledge of what words mean -- matters of fact or matters of meaning. -/- In this essay, I develop a semantic theory which draws (...) this distinction in a way which makes it discernible in lexical semantics and cognitive science research. In doing so, this theory unifies truth-functional and structuralist approaches to semantics, and provides an integrated explanation of meaning and reference. -/- I base this semantic theory on linguistic dispositions to pair words with words, and to pair words with things, both based on learned patterns of association. These dispositions manifest themselves in verbal behavior, and (in Part 2) I propose a new neurophysical model to account for these dispositions which underlie both the intensional and extensional patterns in that behavior. (shrink)

The INBIOSA project brings together a group of experts across many disciplines who believe that science requires a revolutionary transformative step in order to address many of the vexing challenges presented by the world. It is INBIOSA’s purpose to enable the focused collaboration of an interdisciplinary community of original thinkers. This paper sets out the case for support for this effort. The focus of the transformative research program proposal is biology-centric. We admit that biology to date has been more (...) fact-oriented and less theoretical than physics. However, the key leverageable idea is that careful extension of the science of living systems can be more effectively applied to some of our most vexing modern problems than the prevailing scheme, derived from abstractions in physics. While these have some universal application and demonstrate computational advantages, they are not theoretically mandated for the living. A new set of mathematical abstractions derived from biology can now be similarly extended. This is made possible by leveraging new formal tools to understand abstraction and enable computability. [The latter has a much expanded meaning in our context from the one known and used in computer science and biology today, that is "by rote algorithmic means", since it is not known if a living system is computable in this sense (Mossio et al., 2009).] Two major challenges constitute the effort. The first challenge is to design an original general system of abstractions within the biological domain. The initial issue is descriptive leading to the explanatory. There has not yet been a serious formal examination of the abstractions of the biological domain. What is used today is an amalgam; much is inherited from physics (via the bridging abstractions of chemistry) and there are many new abstractions from advances in mathematics (incentivized by the need for more capable computational analyses). Interspersed are abstractions, concepts and underlying assumptions “native” to biology and distinct from the mechanical language of physics and computation as we know them. A pressing agenda should be to single out the most concrete and at the same time the most fundamental process-units in biology and to recruit them into the descriptive domain. Therefore, the first challenge is to build a coherent formal system of abstractions and operations that is truly native to living systems. Nothing will be thrown away, but many common methods will be philosophically recast, just as in physics relativity subsumed and reinterpreted Newtonian mechanics. -/- This step is required because we need a comprehensible, formal system to apply in many domains. Emphasis should be placed on the distinction between multi-perspective analysis and synthesis and on what could be the basic terms or tools needed. The second challenge is relatively simple: the actual application of this set of biology-centric ways and means to cross-disciplinary problems. In its early stages, this will seem to be a “new science”. This White Paper sets out the case of continuing support of Information and Communication Technology (ICT) for transformative research in biology and information processing centered on paradigm changes in the epistemological, ontological, mathematical and computational bases of the science of living systems. Today, curiously, living systems cannot be said to be anything more than dissipative structures organized internally by genetic information. There is not anything substantially different from abiotic systems other than the empirical nature of their robustness. We believe that there are other new and unique properties and patterns comprehensible at this bio-logical level. The report lays out a fundamental set of approaches to articulate these properties and patterns, and is composed as follows. -/- Sections 1 through 4 (preamble, introduction, motivation and major biomathematical problems) are incipient. Section 5 describes the issues affecting Integral Biomathics and Section 6 -- the aspects of the Grand Challenge we face with this project. Section 7 contemplates the effort to formalize a General Theory of Living Systems (GTLS) from what we have today. The goal is to have a formal system, equivalent to that which exists in the physics community. Here we define how to perceive the role of time in biology. Section 8 describes the initial efforts to apply this general theory of living systems in many domains, with special emphasis on crossdisciplinary problems and multiple domains spanning both “hard” and “soft” sciences. The expected result is a coherent collection of integrated mathematical techniques. Section 9 discusses the first two test cases, project proposals, of our approach. They are designed to demonstrate the ability of our approach to address “wicked problems” which span across physics, chemistry, biology, societies and societal dynamics. The solutions require integrated measurable results at multiple levels known as “grand challenges” to existing methods. Finally, Section 10 adheres to an appeal for action, advocating the necessity for further long-term support of the INBIOSA program. -/- The report is concluded with preliminary non-exclusive list of challenging research themes to address, as well as required administrative actions. The efforts described in the ten sections of this White Paper will proceed concurrently. Collectively, they describe a program that can be managed and measured as it progresses. (shrink)

The purpose of this article is to present several immediate consequences of the introduction of a new constant called Lambda in order to represent the object ``nothing" or ``void" into a standard set theory. The use of Lambda will appear natural thanks to its role of condition of possibility of sets. On a conceptual level, the use of Lambda leads to a legitimation of the empty set and to a redefinition of the notion of set. It lets also clearly (...) appear the distinction between the empty set, the nothing and the ur-elements. On a technical level, we introduce the notion of pre-element and we suggest a formal definition of the nothing distinct of that of the null-class. Among other results, we get a relative resolution of the anomaly of the intersection of a family free of sets and the possibility of building the empty set from ``nothing". The theory is presented with equi-consistency results . On both conceptual and technical levels, the introduction of Lambda leads to a resolution of the Russell's puzzle of the null-class. (shrink)

The models of contingency in what propositions, properties and relations there are developed in Part 1 are related to models of contingency in what propositions there are due to Robert Stalnaker. It is shown that some but not all of the classes of models of Part 1 agree with Stalnaker’s models concerning the patterns of contingency in what propositions there are they admit. Further structural connections between the two kinds of models are explored.

I consider the first-order modal logic which counts as valid those sentences which are true on every interpretation of the non-logical constants. Based on the assumptions that it is necessary what individuals there are and that it is necessary which propositions are necessary, Timothy Williamson has tentatively suggested an argument for the claim that this logic is determined by a possible world structure consisting of an infinite set of individuals and an infinite set of worlds. He notes that only (...) the cardinalities of these sets matters, and that not all pairs of infinite sets determine the same logic. I use so-called two-cardinal theorems from model theory to investigate the space of logics and consequence relations determined by pairs of infinite sets, and show how to eliminate the assumption that worlds are individuals from Williamson’s argument. (shrink)

In everyday life and in science we acquire evidence of evidence and based on this new evidence we often change our epistemic states. An assumption underlying such practice is that the following EEE Slogan is correct: 'evidence of evidence is evidence' (Feldman 2007, p. 208). We suggest that evidence of evidence is best understood as higher-order evidence about the epistemic state of agents. In order to model evidence of evidence we introduce a new powerful framework for modelling (...) epistemic states, Dyadic Bayesianism. Based on this framework, we then discuss characterizations of evidence of evidence and argue for one of them. Finally, we show that whether the EEE Slogan holds, depends on the specific kind of evidence of evidence. (shrink)

We comment some recent results obtained by using a Clifford bare bone skeleton of quantum mechanics in order to formulate the conclusion that quantum mechanics has its origin in the logic, and relates conceptual entities. Such results touch directly the basic problem about the structure of our cognitive and conceptual dynamics and thus of our mind. The problem of exploring consciousness results consequently to be strongly linked. This is the reason because studies on quantum mechanics applied to this matter (...) are so important for neurologists and psychologists. Under this profile we present some experimental results showing violation of Bell inequality during the MBTI test in investigation of C.V. Jung’s theory of personality. (shrink)

In this paper we define intensional models for the classical theory of types, thus arriving at an intensional type logic ITL. Intensional models generalize Henkin's general models and have a natural definition. As a class they do not validate the axiom of Extensionality. We give a cut-free sequent calculus for type theory and show completeness of this calculus with respect to the class of intensional models via a model existence theorem. After this we turn our attention to applications. Firstly, (...) it is argued that, since ITL is truly intensional, it can be used to model ascriptions of propositional attitude without predicting logical omniscience. In order to illustrate this a small fragment of English is defined and provided with an ITL semantics. Secondly, it is shown that ITL models contain certain objects that can be identified with possible worlds. Essential elements of modal logic become available within classical type theory once the axiom of Extensionality is given up. (shrink)

This article analyzes the value of geometric models to understand matter with the examples of the Platonic model for the primary four elements (fire, air, water, and earth) and the models of carbon atomic structures in the new science of crystallography. How the geometry of these models is built in order to discover the properties of matter is explained: movement and stability for the primary elements, and hardness, softness and elasticity for the carbon atoms. These geometric models appear (...) to have a double quality: firstly, they exhibit visually the scientific properties of matter, and secondly they give us the possibility to visualize its whole nature. Geometrical models appear to be the expression of the mind in the understanding of physical matter. (shrink)

Levins and Lewontin have contributed significantly to our philosophical understanding of the structures, processes, and purposes of biological mathematical theorizing and modeling. Here I explore their separate and joint pleas to avoid making abstract and ideal scientific models ontologically independent by confusing or conflating our scientific models and the world. I differentiate two views of theorizing and modeling, orthodox and dialectical, in order to examine Levins and Lewontin’s, among others, advocacy of the latter view. I compare the positions of (...) these two views with respect to four points regarding ontological assumptions: (1) the origin of ontological assumptions, (2) the relation of such assumptions to the formal models of the same theory, (3) their use in integrating and negotiating different formal models of distinct theories, and (4) their employment in explanatory activity. Dialectical is here used in both its Hegelian–Marxist sense of opposition and tension between alternative positions and in its Platonic sense of dialogue between advocates of distinct theories. I investigate three case studies, from Levins and Lewontin as well as from a recent paper of mine, that show the relevance and power of the dialectical understanding of theorizing and modeling. (shrink)

Many have expected that understanding the evolution of norms should, in some way, bear on our first-order normative outlook: How norms evolve should shape which norms we accept. But recent philosophy has not done much to shore up this expectation. Most existing discussions of evolution and norms either jump headlong into the is/ought gap or else target meta-ethical issues, such as the objectivity of norms. My aim in this paper is to sketch a different way in which evolutionary considerations (...) can feed into normative thinking—focusing on stability. I will discuss two forms of argument that utilize information about social stability drawn from evolutionary models, and employs it to assess claims in political philosophy. One such argument treats stability as feature of social states that may be taken into account alongside other features. The other uses stability as a constraint on the realization of social ideals, via a version of the ought-implies-can maxim. These forms of argument are not new; indeed they have a history going back at least to early modern philosophy. But their marriage with evolutionary information is relatively recent, has a significantly novel character, and has received little attention in recent moral and political philosophy. (shrink)

This paper is a tentative step towards a historical cognitive science, in the domain of memory and personal identity. I treat theoretical models of memory in history as specimens of the way cultural norms and artifacts can permeate ('proto')scientific views of inner processes. I apply this analysis to the topic of psychological control over one's own body, brain, and mind. Some metaphors and models for memory and mental representation signal the projection inside of external aids. Overtly at least, medieval and (...) Renaissance theorists agreed that such models had to allow for, or even guarantee, some conception of cognitive order and discipline. Individual memory traces had to be independent, not mixed up or interfering with others. The long tradition of improving or bypassing 'natural memory' by deliberately internalizing artefactual models was part of an arduous process of self-fashioning. Moral panic about confusion and mixture features centrally in the imposition of cognitive discipline in local memory traditions. (shrink)

This study was a Persian-English comparative translation investigation on the selected poems of Forough- Farrokhzad, an influential contemporary Iranian poet. Two English translations were analyzed: one by a native Persian speaker, Sholeh Wolpé, an Iranian poet and translator, and the other by a non-native Persian speaker, Jascha Kessler, an American poet, writer and translator. The translations were reviewed according to Vinay and Darbelnet’s(1995) model which identifies two general translation strategies: direct and oblique, resembling literal versus free classifications, respectively, along (...) with their supplementary proce- dures in order to investigate the frequency of the application of each procedure by the two translators. After situating every line of the poems in the related categories, the number of times each procedure was em- ployed was examined. The findings indicated that both translators used the oblique strategy more than the direct one. The non-native translator, however, used the oblique strategy considerably more frequently com- pared to the native translator. Finally, new procedures called complementary procedures were proposed by the researchers to be added to Vinay and Darbelnet’s (1995) model in order to fill the gaps in the application of strategies and procedures to the poems of Forough Farrokhzad and probably other poems. (shrink)

People suffering from Obsessive-Compulsive Disorder (OCD) do things they do not want to do, and/or they think things they do not want to think. In about 10 percent of OCD patients, none of the available treatment options is effective. A small group of these patients is currently being treated with deep brain stimulation (DBS). Deep brain stimulation involves the implantation of electrodes in the brain. These electrodes give a continuous electrical pulse to the brain area in which they are implanted. (...) It turns out that patients may experience profound changes as a result of DBS treatment. It is not just the symptoms that change; patients rather seem to experience a different way of being in the world. These global effects are insufficiently captured by traditional psychiatric scales, which mainly consist of behavioural measures of the severity of the symptoms. In this article we aim to capture the changes in the patients’ phenomenology and make sense of the broad range of changes they report. For that we introduce an enactive, affordance-based model that fleshes out the dynamic interactions between person and world in four aspects. The first aspect is the patients’ experience of the world. We propose to specify the patients’ world in terms of a field of affordances, with the three dimensions of broadness of scope (‘width’ of the field), temporal horizon (‘depth’), and relevance of the perceived affordances (‘height’). The second aspect is the person-side of the interaction, that is, the patients’ self-experience, notably their moods and feelings. Thirdly, we point to the different characteristics of the way in which patients relate to the world. And lastly, the existential stance refers to the stance that patients take towards the changes they experience: the second-order evaluative relation to their interactions and themselves. With our model we intend to specify the notion of being in the world in order to do justice to the phenomenological effects of DBS treatment. (shrink)

Objective: Kindling is an animal model of epilepsy induced by electrical stimulation of the brain. The present study aimed to present a different perspective with a bibliometric approach by using the literature data on the “Kindling model” related keywords in the Web of Science (WoS) online database between 1980 and 2023. -/- Methods: The bibliometric data were obtained from the online database WoS and analyzed and visualized with the VoS Viewer Program. The bibliometric datasets were analyzed and visualized (...) regarding article productivity numbers according to years, article productivity numbers according to countries, the most used keywords according to authors, and cross-country cooperation. -/- Result: Considering the results of the analysis of the published datasets, 2022 was determined as the year with the highest article productivity, and an acceleration was observed in the publication increase rate on the subject in general. When the order of the countries in the top three in the number of article productivity was examined, the USA, Germany, and Japan are the main countries, respectively. The most used keywords by the authors were determined as “Epilepsy”, “Kindling”, and “Hippocampus”. In the cooperation among countries, it was found that the USA, Germany, and Japan had more cooperation with other countries, respectively. -/- Conclusıon: This study will contribute to the literature by providing a detailed understanding of the research basis, relevant research results, current research boundaries and main research focus in the Kindling Model. (shrink)

This paper deals with higher-order vagueness in Williamson's 'logic of clarity'. Its aim is to prove that for 'fixed margin models' (W,d,α ,[ ]) the notion of higher-order vagueness collapses to second-order vagueness. First, it is shown that fixed margin models can be reformulated in terms of similarity structures (W,~). The relation ~ is assumed to be reflexive and symmetric, but not necessarily transitive. Then, it is shown that the structures (W,~) come along with naturally defined maps (...) h and s that define a Galois connection on the power set PW of W. These maps can be used to define two distinct boundary operators bd and BD on W. The main theorem of the paper states that higher-order vagueness with respect to bd collapses to second-order vagueness. This does not hold for BD, the iterations of which behave in quite an erratic way. In contrast, the operator bd defines a variety of tolerance principles that do not fall prey to the sorites paradox and, moreover, do not always satisfy the principles of positive and negative introspection. (shrink)

Boolean-valued models of set theory were independently introduced by Scott, Solovay and Vopěnka in 1965, offering a natural and rich alternative for describing forcing. The original method was adapted by Takeuti, Titani, Kozawa and Ozawa to lattice-valued models of set theory. After this, Löwe and Tarafder proposed a class of algebras based on a certain kind of implication which satisfy several axioms of ZF. From this class, they found a specific 3-valued model called PS3 which satisfies all the axioms (...) of ZF, and can be expanded with a paraconsistent negation *, thus obtaining a paraconsistent model of ZF. The logic (PS3 ,*) coincides (up to language) with da Costa and D'Ottaviano logic J3, a 3-valued paraconsistent logic that have been proposed independently in the literature by several authors and with different motivations such as CluNs, LFI1 and MPT. We propose in this paper a family of algebraic models of ZFC based on LPT0, another linguistic variant of J3 introduced by us in 2016. The semantics of LPT0, as well as of its first-order version QLPT0, is given by twist structures defined over Boolean agebras. From this, it is possible to adapt the standard Boolean-valued models of (classical) ZFC to twist-valued models of an expansion of ZFC by adding a paraconsistent negation. We argue that the implication operator of LPT0 is more suitable for a paraconsistent set theory than the implication of PS3, since it allows for genuinely inconsistent sets w such that [(w = w)] = 1/2 . This implication is not a 'reasonable implication' as defined by Löwe and Tarafder. This suggests that 'reasonable implication algebras' are just one way to define a paraconsistent set theory. Our twist-valued models are adapted to provide a class of twist-valued models for (PS3,*), thus generalizing Löwe and Tarafder result. It is shown that they are in fact models of ZFC (not only of ZF). (shrink)

We show how removing faith-based beliefs in current philosophies of classical and constructive mathematics admits formal, evidence-based, definitions of constructive mathematics; of a constructively well-defined logic of a formal mathematical language; and of a constructively well-defined model of such a language. -/- We argue that, from an evidence-based perspective, classical approaches which follow Hilbert's formal definitions of quantification can be labelled `theistic'; whilst constructive approaches based on Brouwer's philosophy of Intuitionism can be labelled `atheistic'. -/- We then adopt what (...) may be labelled a finitary, evidence-based, `agnostic' perspective and argue that Brouwerian atheism is merely a restricted perspective within the finitary agnostic perspective, whilst Hilbertian theism contradicts the finitary agnostic perspective. -/- We then consider the argument that Tarski's classic definitions permit an intelligence---whether human or mechanistic---to admit finitary, evidence-based, definitions of the satisfaction and truth of the atomic formulas of the first-order Peano Arithmetic PA over the domain N of the natural numbers in two, hitherto unsuspected and essentially different, ways. -/- We show that the two definitions correspond to two distinctly different---not necessarily evidence-based but complementary---assignments of satisfaction and truth to the compound formulas of PA over N. -/- We further show that the PA axioms are true over N, and that the PA rules of inference preserve truth over N, under both the complementary interpretations; and conclude some unsuspected constructive consequences of such complementarity for the foundations of mathematics, logic, philosophy, and the physical sciences. -/- . (shrink)

The philosophy of mathematics has been accused of paying insufficient attention to mathematical practice: one way to cope with the problem, the one we will follow in this paper on extensive magnitudes, is to combine the `history of ideas' and the `philosophy of models' in a logical and epistemological perspective. The history of ideas allows the reconstruction of the theory of extensive magnitudes as a theory of ordered algebraic structures; the philosophy of models allows an investigation into the way epistemology (...) might affect relevant mathematical notions. The article takes two historical examples as a starting point for the investigation of the role of numerical models in the construction of a system of non-Archimedean magnitudes. A brief exposition of the theories developed by Giuseppe Veronese and by Rodolfo Bettazzi at the end of the 19th century will throw new light on the role played by magnitudes and numbers in the development of the concept of a non-Archimedean order. Different ways of introducing non-Archimedean models will be compared and the influence of epistemological models will be evaluated. Particular attention will be devoted to the comparison between the models that oriented Veronese's and Bettazzi's works and the mathematical theories they developed, but also to the analysis of the way epistemological beliefs affected the concepts of continuity and measurement. (shrink)

The title of this presentation encompasses three issues: (1) an enigmatic theme (the play of signs and signs of play); (2) a model of doing something, such as unraveling a puzzle; and (3) a methodology dealing with a probable case. Considering that the order of analysis runs in the opposite direction to the order of experience, my first task is to reverse the title. Then, its three parts become: (1) an eidetic and empirical conjunction that implies a (...) taste for evidence; (2) a rigorous model of analysis that implies a relationship between ontology (what I know) and epistemology (how I know); and (3) a case that brings an enigmatic theme. My title, based in the theme of our 42nd Annual Meeting, provided an experience peculiar to a non-native English speaker: how to interpret and use the word “play”. I really felt like I was a living exemplar of one of Professor Lanigan’s favorite examples: what dictionaries and encyclopedias say or do not say. Lanigan said that “dictionaries tell you how to use the words (forms, ideas) but not what word to use” and “encyclopedias tell you what facts to use (structure, experience), but not how to use them” (1992: 208–209). That was my situation with the word “play”. Webster’s dictionary gave me around fifty different meanings for the word “play”. Which one should I choose? I am sure that I made the best choice, as I will demonstrate throughout this presentation, organized around these three ideas that in an inverse order would be theory, method, and case. (shrink)

There is a trade-off between specificity and accuracy in existing models of belief. Descriptions of agents in the tripartite model, which recognizes only three doxastic attitudes—belief, disbelief, and suspension of judgment—are typically accurate, but not sufficiently specific. The orthodox Bayesian model, which requires real-valued credences, is perfectly specific, but often inaccurate: we often lack precise credences. I argue, first, that a popular attempt to fix the Bayesian model by using sets of functions is also inaccurate, since it (...) requires us to have interval-valued credences with perfectly precise endpoints. We can see this problem as analogous to the problem of higher order vagueness. Ultimately, I argue, the only way to avoid these problems is to endorse Insurmountable Unclassifiability. This principle has some surprising and radical consequences. For example, it entails that the trade-off between accuracy and specificity is in-principle unavoidable: sometimes it is simply impossible to characterize an agent’s doxastic state in a way that is both fully accurate and maximally specific. What we can do, however, is improve on both the tripartite and existing Bayesian models. I construct a new model of belief—the minimal model—that allows us to characterize agents with much greater specificity than the tripartite model, and yet which remains, unlike existing Bayesian models, perfectly accurate. (shrink)

In this paper the class of Fidel-structures for the paraconsistent logic mbC is studied from the point of view of Model Theory and Category Theory. The basic point is that Fidel-structures for mbC (or mbC-structures) can be seen as first-order structures over the signature of Boolean algebras expanded by two binary predicate symbols N (for negation) and O (for the consistency connective) satisfying certain Horn sentences. This perspective allows us to consider notions and results from Model Theory (...) in order to analyze the class of mbC-structures. Thus, substructures, union of chains, direct products, direct limits, congruences and quotient structures can be analyzed under this perspective. In particular, a Birkhoff-like representation theorem for mbC-structures as subdirect poducts in terms of subdirectly irreducible mbC-structures is obtained by adapting a general result for first-order structures due to Caicedo. Moreover, a characterization of all the subdirectly irreducible mbC-structures is also given. An alternative decomposition theorem is obtained by using the notions of weak substructure and weak isomorphism considered by Fidel for Cn-structures. (shrink)

there is a communication gap between hearing-impaired people and those with normal hearing, sign language is the main means of communication in the hearing-impaired population. Continuous sign language recognition, which can close the communication gap, is a difficult task since the ordered annotations are weakly supervised and there is no frame-level label. To solve this issue, we compare the accuracy of each model using two deep learning models, Inception and Xception . To that end, the purpose of this paper (...) is By attempting to translate sign language using deep learning models, we focused in this paper a comparing between Inception and Xception ¬¬¬¬¬ algorithm and compared it to previous papers in which we used VGG19[1], mobileNet [2], where we get in the Inception and Xception algorithm on the degree of Accuracy 99.32%, 99,43% respectively. number of images (29000 in the dataset in size 75*75 pixel ) and the data split training data into training dataset (70%) and validation dataset(15%) and testing dataset(15%) and 20 epoch. (shrink)

of “Reason and the structure of Davidson’s ‘Desire-Belief-Model’ ” by Henk bij de Weg In the present discussion in the analytic theory of action, broadly two models for the explanation or justification of actions can be distinguished: the internalist and the externalist model. Against this background, I discuss Davidson’s version of the internalist Desire-Belief Model . First, I show that what Davidson calls “pro attitude” has two distinct meanings. An implication of this is that Davidson’s DBM actually (...) comprises two different models: the “classical” DBM and a model that has an extra premise, the “nonclassical” model. However, from another point of view one can say that the classical DBM is the nonclassical model in which a premise is missing. In order to determine which viewpoint is correct, I introduce Schütz’s distinction between “because-motives” and “in-order-to-motives”. With the help of this distinction, I can show that the classical DBM is an incomplete version of the nonclassical model. Besides of the premise that refers to the agent’s pro attitude, we need this extra premise in order to refer to the occasion as experienced by the agent that makes him or her act. Only then can we fully explain or justify an action. (shrink)

In this article I give a critical evaluation of the use and limitations of null-model-based hypothesis testing as a research strategy in the biological sciences. According to this strategy, the null model based on a randomization procedure provides an appropriate null hypothesis stating that the existence of a pattern is the result of random processes or can be expected by chance alone, and proponents of other hypotheses should first try to reject this null hypothesis in order to (...) demonstrate their own hypotheses. Using as an example the controversy over the use of null hypotheses and null models in species co-occurrence studies, I argue that null-model-based hypothesis testing fails to work as a proper analog to traditional statistical null-hypothesis testing as used in well-controlled experimental research, and that the random process hypothesis should not be privileged as a null hypothesis. Instead, the possible use of the null model resides in its role of providing a way to challenge scientists’ commonsense judgments about how a seemingly unusual pattern could have come to be. Despite this possible use, null-model-based hypothesis testing still carries certain limitations, and it should not be regarded as an obligation for biologists who are interested in explaining patterns in nature to first conduct such a test before pursuing their own hypotheses. (shrink)

(article sent to participants of the Lindau meeting where a talk on this subject was given) David Bohm suggested that some kind of implicate order underlies the manifest order observed in physical systems, while others have suggested that some kind of mind-like process underlies this order. In the following a more explicit picture is proposed, based on the existence of parallels between spontaneously fluctuating equilibrium states and life processes. Focus on the processes of natural language suggests a (...) picture involving an evolving ensemble of experts, each with its own goals but nevertheless acting in harmony with each other. The details of how such an ensemble might function and evolve can translate into aspects of the world of fundamental physics such as symmetry and symmetry breaking, and can be expected to be the source of explicit models. This picture differs from that of regular physics in that goal-directedness has an important role to play, contrasting with that of the conventional view which implies a meaningless universe. (shrink)

The short paper introduces the concept of possible branches of double-stranded DNA (later sometimes called palindromes): Certain sequences of nucleotides may be followed, after a short unpaired stretch, by a complementary sequence in reversed order, such that each DNA strand can fold back on itself, and the DNA assumes a cruciform or tree-like structure. This is postulated to interact with regulatory proteins. -/- .