Results for 'Infinite hierarchies of options'

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  1. Frege’s Infinite Hierarchy of Senses.Lukas Skiba - 2022 - The Reasoner 16 (7):63-64.
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  2. Reply to Oppy on God, the Best and Evil.Bruce Langtry - 2011 - Sophia 50 (1):211-219.
    My reply corrects one misstatement in Oppy’s summary of my book, abandons a footnote in the light of one of Oppy’s criticisms, and argues that Oppy’s other criticisms do not succeed in showing either that my claims are mistaken or that the arguments by which I supported them are defective.
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  3. A Hierarchy of Classical and Paraconsistent Logics.Eduardo Alejandro Barrio, Federico Pailos & Damian Szmuc - 2020 - Journal of Philosophical Logic 49 (1):93-120.
    In this article, we will present a number of technical results concerning Classical Logic, ST and related systems. Our main contribution consists in offering a novel identity criterion for logics in general and, therefore, for Classical Logic. In particular, we will firstly generalize the ST phenomenon, thereby obtaining a recursively defined hierarchy of strict-tolerant systems. Secondly, we will prove that the logics in this hierarchy are progressively more classical, although not entirely classical. We will claim that a logic is to (...)
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  4. On Frege's Supposed Hierarchy of Senses.Nicholas Georgalis - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    This paper argues against the claim that Frege is committed to an infinite hierarchy of senses. Carnap and Kripke, along with many others, argue the contrary; I expose where all such arguments go astray. Invariably these arguments assume (without citation) that Frege holds that sense and reference are always distinct. This is the fulcrum upon which the hierarchy is hoisted. The counter to this assumption is based on two important but neglected passages. The locution ‘indirect sense’ has no ontological (...)
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  5. Paraconsistent First-Order Logic with infinite hierarchy levels of contradiction.Jaykov Foukzon - manuscript
    In this paper paraconsistent first-order logic LP^{#} with infinite hierarchy levels of contradiction is proposed. Corresponding paraconsistent set theory KSth^{#} is discussed.Axiomatical system HST^{#}as paraconsistent generalization of Hrbacek set theory HST is considered.
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  6. Infinite options, intransitive value, and supererogation.Daniel Muñoz - 2020 - Philosophical Studies 178 (6):2063-2075.
    Supererogatory acts are those that lie “beyond the call of duty.” There are two standard ways to define this idea more precisely. Although the definitions are often seen as equivalent, I argue that they can diverge when options are infinite, or when there are cycles of better options; moreover, each definition is acceptable in only one case. I consider two ways out of this dilemma.
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  7. Infinitely Complex Machines.Eric Steinhart - 2007 - In Intelligent Computing Everywhere. Springer. pp. 25-43.
    Infinite machines (IMs) can do supertasks. A supertask is an infinite series of operations done in some finite time. Whether or not our universe contains any IMs, they are worthy of study as upper bounds on finite machines. We introduce IMs and describe some of their physical and psychological aspects. An accelerating Turing machine (an ATM) is a Turing machine that performs every next operation twice as fast. It can carry out infinitely many operations in finite time. Many (...)
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  8. The Agony of the Infinite: The Presence of God as Phenomenological Hell.A. G. Holdier - 2017 - In Simon Cushing (ed.), Heaven and Philosophy. Lanham, MD: Lexington Books. pp. 119-135.
    Much recent academic literature on the afterlife has been focused on the justice of eternity and whether a good God could allow a person to experience eternal suffering in Hell. Two primary escapes are typically suggested to justify never-ending punishment for sinners: the traditional view focuses the blame for an individual’s condemnation away from God onto the sinner’s freely chosen actions; the universalist position denies the eternality of the punishment on the grounds that God’s inescapable love and eventual victory over (...)
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  9. Towards Tractable Approximations to Many-Valued Logics: the Case of First Degree Entailment.Alejandro Solares-Rojas & Marcello D’Agostino - 2022 - In Igor Sedlár (ed.), The Logica Yearbook 2021. College Publications. pp. 57-76.
    FDE is a logic that captures relevant entailment between implication-free formulae and admits of an intuitive informational interpretation as a 4-valued logic in which “a computer should think”. However, the logic is co-NP complete, and so an idealized model of how an agent can think. We address this issue by shifting to signed formulae where the signs express imprecise values associated with two distinct bipartitions of the set of standard 4 values. Thus, we present a proof system which consists of (...)
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  10. Semantical Hierarchies and Semantical Primitives.Charles Sayward - 1975 - In Hassan Sharifi (ed.), From Meaning to Sound: Proceedings of the 1974 Mid-American Linguistics Conference, 5: 38-40. college of arts and sciences, university of nebraska.
    Quine’s way of dealing with the semantical paradoxes (Ways of Paradox, pp. 9-10) is criticized. The criticism is based on three premises: (1) no learnable language has infinitely many semantical primitives; (2) any language of which Quine’s theory is true has infinitely many semantical primitives; (3) English is a learnable language. The conclusion drawn is that Quine’s theory is not true of English.
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  11. From Pictures to Employments: Later Wittgenstein on 'the Infinite'.Philip Bold - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    With respect to the metaphysics of infinity, the tendency of standard debates is to either endorse or to deny the reality of ‘the infinite’. But how should we understand the notion of ‘reality’ employed in stating these options? Wittgenstein’s critical strategy shows that the notion is grounded in a confusion: talk of infinity naturally takes hold of one’s imagination due to the sway of verbal pictures and analogies suggested by our words. This is the source of various philosophical (...)
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  12. Meta-Classical Non-Classical Logics.Eduardo Barrio, Camillo Fiore & Federico Pailos - forthcoming - Review of Symbolic Logic:1-26.
    Recently, it has been proposed to understand a logic as containing not only a validity canon for inferences but also a validity canon for metainferences of any finite level. Then, it has been shown that it is possible to construct infinite hierarchies of "increasingly classical" logics—that is, logics that are classical at the level of inferences and of increasingly higher metainferences—all of which admit a transparent truth predicate. In this paper, we extend this line of investigation by taking (...)
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  13. Pure Logic and Higher-order Metaphysics.Christopher Menzel - 2024 - In Peter Fritz & Nicholas K. Jones (eds.), Higher-Order Metaphysics. Oxford University Press.
    W. V. Quine famously defended two theses that have fallen rather dramatically out of fashion. The first is that intensions are “creatures of darkness” that ultimately have no place in respectable philosophical circles, owing primarily to their lack of rigorous identity conditions. However, although he was thoroughly familiar with Carnap’s foundational studies in what would become known as possible world semantics, it likely wouldn’t yet have been apparent to Quine that he was fighting a losing battle against intensions, due in (...)
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  14. Does the Scientific Community Misconstrue the Nature of Science?Nicholas Maxwell - 2021 - Global Journal of Research and Review 8 (5):83.
    The scientific community takes for granted a view of science that may be called standard empiricism. This holds that the basic intellectual aim of science is truth, nothing being presupposed about the truth, the basic method being to assess theories with respect to evidence. A basic tenet of the view is that science must not accept any thesis about the world as a part of scientific knowledge independent of evidence, let alone in violation of evidence. But physics only accepts unified (...)
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  15.  91
    Tractable depth-bounded approximations to FDE and its satellites.A. Solares-Rojas & Marcello D'Agostino - 2023 - Journal of Logic and Computation 34 (5):815-855.
    FDE, LP and K3 are closely related to each other and admit of an intuitive informational interpretation. However, all these logics are co-NP complete, and so idealized models of how an agent can think. We address this issue by shifting to signed formulae, where the signs express imprecise values associated with two bipartitions of the corresponding set of standard values. We present proof systems whose operational rules are all linear and have only two structural branching rules that express a generalized (...)
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  16. The Battle of the Endeavors: Dynamics of the Mind and Deliberation in New Essays on Human Understanding, book II, xx-xxi.Markku Roinila - 2016 - In Wenchao Li (ed.), “Für unser Glück oder das Glück anderer”. Vorträge des X. Internationalen Leibniz-Kongresses, Hannover, 18. – 23. Juli 2016. Hildesheim: G. Olms. pp. Band V, 73-87.
    In New Essays on Human Understanding, book II, chapter xxi Leibniz presents an interesting picture of the human mind as not only populated by perceptions, volitions and appetitions, but also by endeavours. The endeavours in question can be divided to entelechy and effort; Leibniz calls entelechy as primitive active forces and efforts as derivative forces. The entelechy, understood as primitive active force is to be equated with a substantial form, as Leibniz says: “When an entelechy – i.e. a primary or (...)
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  17. Review of Forgotten Truth. [REVIEW]Aryeh Siegel & Ken Siegel - 1978 - Philosophical Review 88 (2).
    Forgotten Truth is primarily a presentation of the traditional esoteric view that reality consists of a hierarchy of Being. Within the hierarchy there are an indefinite number of worlds, but they can be classified into four levels: the terrestrial, psychic, and celestial planes, and the Infinite. The corresponding levels within the human microcosm are body, mind, soul, and spirit. “From the multiple heavens of Judaism to the storied structure of the Hindu temple and the angelologies of innumerable traditions, the (...)
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  18. Information Systems Governance and Industry 4.0 - epistemology of data and semiotic methodologies of IS in digital ecosystems.Ângela Lacerda Nobre, Rogério Duarte & Marc Jacquinet - 2018 - Advances in Information and Communication Technology 527:311-312.
    Contemporary Information Systems management incorporates the need to make explicit the links between semiotics, meaning-making and the digital age. This focus addresses, at its core, pure rationality, that is, the capacity of human interpretation and of human inscription upon reality. Creating the new real, that is the motto. Humans are intrinsically semiotic creatures. Consequently, semiotics is not a choice or an option but something that works like a second skin, establishing limits and permeable linkages between: human thought and human's (...) world of imagination; and human action, with its correspondent infinite world of intentionality, of desire and of unexplored possibilities. Two instances are contrasted as two reading lenses of current business reality: IS governance and industry 4.0. These phenomena correspond to the need to take accountability, transparency and responsibility into account, when designing IS and when using such systems through the ecology of connectivity, Big Data and the Internet of Things. Political, social and cultural dimensions are brought into the equation, when addressing the question of the relevance and adequateness of IS theory and practice to respond to contemporary challenges. The message is that what has already been achieved is but a shadow, a pale vision, of what might be achieved in the age of the new Renaissance. (shrink)
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  19. The foundational discourse of Cartesian Meditations : an unfinished project.Rosemary Lerner - 2011 - The New Yearbook for Phenomenology and Phenomenological Philosophy X (2010):1-21.
    Husserl’s transcendental philosophy has frequently been disparaged in many of the central philosophical debates of the 20th century. And many of his most virulent critics have been adherents of phenomenological philosophy. Critiques have stressed the bankruptcy of the concept of ultimate foundation in relation to a transcendental subject that is allegedly solipsistic and conditioned by modern prejudices. Two essential insights have led me to reconsider such critical assessments.1 On the one hand, the open-ended and infinite nature of Husserlian intentional (...)
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  20.  68
    The Battle of the Endeavors: Dynamics of the Mind and Deliberation in New Essays on Human Understanding, book II, xx-xxi.Markku Roinila - 2016 - In Wenchao Li (ed.), “Für unser Glück oder das Glück anderer”. Vorträge des X. Internationalen Leibniz-Kongresses, Hannover, 18. – 23. Juli 2016, Band V. G. Olms. pp. 73-87.
    In New Essays on Human Understanding, book II, chapter xxi Leibniz presents an interesting picture of the human mind as not only populated by perceptions, volitions and appetitions, but also by endeavours. The endeavours in question can be divided to entelechy and effort; Leibniz calls entelechy as primitive active forces and efforts as derivative forces. The entelechy, understood as primitive active force is to be equated with a substantial form, as Leibniz says: “When an entelechy – i.e. a primary or (...)
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  21. Complexity Reality and Scientific Realism.Avijit Lahiri - manuscript
    We introduce the notion of complexity, first at an intuitive level and then in relatively more concrete terms, explaining the various characteristic features of complex systems with examples. There exists a vast literature on complexity, and our exposition is intended to be an elementary introduction, meant for a broad audience. -/- Briefly, a complex system is one whose description involves a hierarchy of levels, where each level is made of a large number of components interacting among themselves. The time evolution (...)
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  22. Supermachines and superminds.Eric Steinhart - 2003 - Minds and Machines 13 (1):155-186.
    If the computational theory of mind is right, then minds are realized by machines. There is an ordered complexity hierarchy of machines. Some finite machines realize finitely complex minds; some Turing machines realize potentially infinitely complex minds. There are many logically possible machines whose powers exceed the Church–Turing limit (e.g. accelerating Turing machines). Some of these supermachines realize superminds. Superminds perform cognitive supertasks. Their thoughts are formed in infinitary languages. They perceive and manipulate the infinite detail of fractal objects. (...)
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  23. Modern Methods of Management Decision-Making and their Connection With Organizational Culture of the Tourism Enterprises in Ukraine.Oleksandr Krupskyi - 2014 - Economic Annals-XXI 1 (7-8):95-98.
    Management decision-making is a daily task that managers of various levels solve in every organization. Degree of difficulty of this process depends on the scope of authority, responsibility level, manager’s position in organizational hierarchy; on the changes in the environment, unpredictability of which causes emergence of significant amounts of alternatives. For this reason, managers do not rely only on intuition or personal experience (which limited with selective perception, cognitive ability, ability to withstand stress and/or the presence of bias), but use (...)
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  24. Randomized Controlled Trials for Diagnostic Imaging: Conceptual and Pratical Problems.Elisabetta Lalumera & Stefano Fanti - 2019 - Topoi 38 (2):395-400.
    We raise a problem of applicability of RCTs to validate nuclear diagnostic imaging tests. In spite of the wide application of PET and other similar techniques that use radiopharmaceuticals for diagnostic purposes, RCT-based evidence on their validity is sparse. We claim that this is due to a general conceptual problem that we call Prevalence of Treatment, which arises in connection with designing RCTs for testing any diagnostic procedure in the present context of medical research, and is particularly apparent in this (...)
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  25. Utility Monsters for the Fission Age.Ray Briggs & Daniel Nolan - 2015 - Pacific Philosophical Quarterly 96 (2):392-407.
    One of the standard approaches to the metaphysics of personal identity has some counter-intuitive ethical consequences when combined with maximising consequentialism and a plausible doctrine about aggregation of consequences. This metaphysical doctrine is the so-called ‘multiple occupancy’ approach to puzzles about fission and fusion. It gives rise to a new version of the ‘utility monster’ problem, particularly difficult problems about infinite utility, and a new version of a Parfit-style ‘repugnant conclusion’. While the article focuses on maximising consequentialism for simplicity, (...)
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  26. The phenomenological method revisited: towards comparative studies and non-theological interpretations of the religious experience.Åke Sander - 2014 - Argument: Biannual Philosophical Journal 4 (1).
    During the last decades, two major and interrelated themes have dominated the study of religion: (a) the theme claiming that the long taken-for-granted so-called secularization thesis was all wrong, and (b) the theme of the so-called “return” or “resurgence of religion”. This global revival of religion — on micro, meso and macro levels — has been chronicled in a number of important books lately. As even a quick glance in some of the many textbooks about religious studies reveal that there (...)
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  27. Leibniz on Rational Decision-Making.Markku Roinila - 2007 - Dissertation, University of Helsinki
    In this study I discuss G. W. Leibniz's (1646-1716) views on rational decision-making from the standpoint of both God and man. The Divine decision takes place within creation, as God freely chooses the best from an infinite number of possible worlds. While God's choice is based on absolutely certain knowledge, human decisions on practical matters are mostly based on uncertain knowledge. However, in many respects they could be regarded as analogous in more complicated situations. In addition to giving an (...)
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  28. The Political Moralism of Some Catholic Bishops and Priests: A Postmodern Evaluation.Alexis Deodato Itao - 2022 - Social Ethics Society Journal of Applied Philosophy 8 (Special Issue):186-212.
    The Catholic Church never officially endorses political candidates but rather respects the freedom of its faithful to vote according to the dictates of their conscience. However, in the last presidential elections, some Catholic bishops and priests in the Philippines publicly and openly supported the presidential candidacy of Vice President Leni Robredo while urging the rest of the faithful to do the same. These bishops and priests anchored their position on their shared belief that voting for Robredo was the only rightful (...)
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  29. Hierarchies of modal and temporal logics with reference pointers.Valentin Goranko - 1996 - Journal of Logic, Language and Information 5 (1):1-24.
    We introduce and study hierarchies of extensions of the propositional modal and temporal languages with pairs of new syntactic devices: point of reference-reference pointer which enable semantic references to be made within a formula. We propose three different but equivalent semantics for the extended languages, discuss and compare their expressiveness. The languages with reference pointers are shown to have great expressive power (especially when their frugal syntax is taken into account), perspicuous semantics, and simple deductive systems. For instance, Kamp's (...)
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  30. Infinite Regresses of Justification.Oliver Black - 1988 - International Philosophical Quarterly 28 (4):421-437.
    This paper uses a schema for infinite regress arguments to provide a solution to the problem of the infinite regress of justification. The solution turns on the falsity of two claims: that a belief is justified only if some belief is a reason for it, and that the reason relation is transitive.
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  31. Wide Sets, ZFCU, and the Iterative Conception.Christopher Menzel - 2014 - Journal of Philosophy 111 (2):57-83.
    The iterative conception of set is typically considered to provide the intuitive underpinnings for ZFCU (ZFC+Urelements). It is an easy theorem of ZFCU that all sets have a definite cardinality. But the iterative conception seems to be entirely consistent with the existence of “wide” sets, sets (of, in particular, urelements) that are larger than any cardinal. This paper diagnoses the source of the apparent disconnect here and proposes modifications of the Replacement and Powerset axioms so as to allow for the (...)
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  32. Foundationalism with infinite regresses of probabilistic support.William Roche - 2018 - Synthese 195 (9):3899-3917.
    There is a long-standing debate in epistemology on the structure of justification. Some recent work in formal epistemology promises to shed some new light on that debate. I have in mind here some recent work by David Atkinson and Jeanne Peijnenburg, hereafter “A&P”, on infinite regresses of probabilistic support. A&P show that there are probability distributions defined over an infinite set of propositions {\ such that \ is probabilistically supported by \ for all i and \ has a (...)
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  33. Logically possible machines.Eric Steinhart - 2002 - Minds and Machines 12 (2):259-280.
    I use modal logic and transfinite set-theory to define metaphysical foundations for a general theory of computation. A possible universe is a certain kind of situation; a situation is a set of facts. An algorithm is a certain kind of inductively defined property. A machine is a series of situations that instantiates an algorithm in a certain way. There are finite as well as transfinite algorithms and machines of any degree of complexity (e.g., Turing and super-Turing machines and more). There (...)
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  34. A Hierarchy of Armchairs: Gerald Gaus on Political Thought Experiments.Nenad Miscevic - 2013 - European Journal of Analytic Philosophy 9 (1):52-63.
    The paper places the work of G. Gaus into the tradition of political thought experimenting. In particular, his strategy of modeling moral decision by the heuristic device of idealized Members of the Public is presented as an iterated thought experiment, which stands in marked contrast with more traditional devices like the veil of ignorance. The consequences are drawn, and issues of utopianism and realism briefly discussed.
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  35. Fundamentality and Ontological Minimality.Tuomas E. Tahko - 2018 - In Ricki Bliss & Graham Priest (eds.), Reality and its Structure: Essays in Fundamentality. Oxford, UK: Oxford University Press. pp. 237-253.
    In this chapter, a generic definition of fundamentality as an ontological minimality thesis is sought and its applicability examined. Most discussions of fundamentality are focused on a mereological understanding of the hierarchical structure of reality, which may be combined with an atomistic, object-oriented metaphysics. But recent work in structuralism, for instance, calls for an alternative understanding and it is not immediately clear that the conception of fundamentality at work in structuralism is commensurable with the mereological conception. However, it is proposed (...)
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  36. Between Hierarchy of Oppression and Style of Nourishment: Defending the Confucian Way of Civil Order.Huaiyu Wang - 2016 - Philosophy East and West 66 (2):559-596.
    Despite a growing interest in and sympathy with Confucianism, there remains a stereotyped conception of Confucian civil order as a form of authoritarian hierarchy that is responsible for various oppressions in ancient China and is reprehensible from a modern egalitarian perspective. One central target of this modern criticism is the Confucian maxim of sangang 三綱, whose underlying idea is essential for regulating the relationship between sovereign and subject, father and son, and husband and wife in traditional Confucian society. Tu Wei-ming (...)
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  37. The hierarchy of heaven and earth.Douglas Edison Harding - 1952 - New York,: Harper.
    This book begins with the question 'Who am I?' and immediately sets off in an astonishingly original direction. Why didn't anyone before Harding think of responding to this question like this? It's so obvious, once you see it. Harding presents a new vision of our place in the universe that uses the scientific method of looking to see what is true. It turns out that the truth about ourselves is not only true but also very good, and breathtakingly beautiful. We (...)
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  38. The Relatively Infinite Value of the Environment.Paul Bartha & C. Tyler DesRoches - 2017 - Australasian Journal of Philosophy 95 (2):328-353.
    Some environmental ethicists and economists argue that attributing infinite value to the environment is a good way to represent an absolute obligation to protect it. Others argue against modelling the value of the environment in this way: the assignment of infinite value leads to immense technical and philosophical difficulties that undermine the environmentalist project. First, there is a problem of discrimination: saving a large region of habitat is better than saving a small region; yet if both outcomes have (...)
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  39. Conditionals and the Hierarchy of Causal Queries.Niels Skovgaard-Olsen, Simon Stephan & Michael R. Waldmann - 2021 - Journal of Experimental Psychology: General 1 (12):2472-2505.
    Recent studies indicate that indicative conditionals like "If people wear masks, the spread of Covid-19 will be diminished" require a probabilistic dependency between their antecedents and consequents to be acceptable (Skovgaard-Olsen et al., 2016). But it is easy to make the slip from this claim to the thesis that indicative conditionals are acceptable only if this probabilistic dependency results from a causal relation between antecedent and consequent. According to Pearl (2009), understanding a causal relation involves multiple, hierarchically organized conceptual dimensions: (...)
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  40. The infinite regress of optimization.Philippe Mongin - 1991 - Behavioral and Brain Sciences 14 (2):229-230.
    A comment on Paul Schoemaker's target article in Behavioral and Brain Sciences, 14 (1991), p. 205-215, "The Quest for Optimality: A Positive Heuristic of Science?" (https://doi.org/10.1017/S0140525X00066140). This comment argues that the optimizing model of decision leads to an infinite regress, once internal costs of decision (i.e., information and computation costs) are duly taken into account.
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  41. Implicatures and hierarchies of presumptions.Fabrizio Macagno - 2011 - In Frank Zenker (ed.), Argument Cultures: Proceedings of the 8th International Conference of the Ontario Society for the Study of Argumentation (OSSA) (University of Windsor, ON 18-21 May 2011). OSSA. pp. 1-17.
    Implicatures are described as particular forms reasoning from best explanation, in which the para-digm of possible explanations consists of the possible semantic interpretations of a sentence or a word. The need for explanation will be shown to be triggered by conflicts between presumptions, namely hearer’s dialogical expectations and the presumptive sentence meaning. What counts as the best explanation can be established on the grounds of hierarchies of presumptions, dependent on dialogue types and interlocutors’ culture.
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  42. A Note Concerning Infinite Regresses of Deferred Justification.Paul D. Thorn - 2017 - Philosophia 45 (1):349-357.
    An agent’s belief in a proposition, E0, is justified by an infinite regress of deferred justification just in case the belief that E0 is justified, and the justification for believing E0 proceeds from an infinite sequence of propositions, E0, E1, E2, etc., where, for all n ≥ 0, En+1 serves as the justification for En. In a number of recent articles, Atkinson and Peijnenburg claim to give examples where a belief is justified by an infinite regress of (...)
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  43. Metainferences from a Proof-Theoretic Perspective, and a Hierarchy of Validity Predicates.Rea Golan - 2022 - Journal of Philosophical Logic 51 (6):1295–1325.
    I explore, from a proof-theoretic perspective, the hierarchy of classical and paraconsistent logics introduced by Barrio, Pailos and Szmuc in (Journal o f Philosophical Logic,49, 93-120, 2021). First, I provide sequent rules and axioms for all the logics in the hierarchy, for all inferential levels, and establish soundness and completeness results. Second, I show how to extend those systems with a corresponding hierarchy of validity predicates, each one of which is meant to capture “validity” at a different inferential level. Then, (...)
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  44. Level theory, part 1: Axiomatizing the bare idea of a cumulative hierarchy of sets.Tim Button - 2021 - Bulletin of Symbolic Logic 27 (4):436-460.
    The following bare-bones story introduces the idea of a cumulative hierarchy of pure sets: 'Sets are arranged in stages. Every set is found at some stage. At any stage S: for any sets found before S, we find a set whose members are exactly those sets. We find nothing else at S.' Surprisingly, this story already guarantees that the sets are arranged in well-ordered levels, and suffices for quasi-categoricity. I show this by presenting Level Theory, a simplification of set theories (...)
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  45.  50
    Defining π via Infinite Densification of the Sweeping Net and Reverse Integration.Parker Emmerson - 2024 - Journal of Liberated Mathematics 1 (1):7.
    We present a novel approach to defining the mathematical constant π through the infinite den- sification of a sweeping net, which approximates a circle as the net becomes infinitely dense. By developing and enhancing notation related to sweeping nets and saddle maps, we establish a rigor- ous framework for expressing π in terms of the densification process using reverse integration. This method, inspired by the concept that numbers ”come from infinity,” leverages a reverse integral approach to model the transition (...)
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  46. ‘Some Animals Are More Equal Than Others’: The Hierarchy of Citizenship in Austria.Suleman Lazarus - 2019 - Laws 8 (14):1-20.
    While this article aims to explore the connections between citizenship and ‘race’, it is the first study to use fictional tools as a sociological resource in exemplifying the deviation between citizenship in principle and practice in an Austrian context. The study involves interviews with 73 Austrians from three ethnic/racial groups, which were subjected to a directed approach to qualitative content analysis and coded based on sentences from George Orwell’s fictional book, ‘Animal Farm’. By using fiction as a conceptual and analytical (...)
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  47. Epictetus’ Smoky Chamber: A Study on Rational Suicide as a Moral Choice.Evangelos D. Protopapadakis - 2011 - In Antiquity and Modern World: Religion and Culture. pp. 279-292.
    Self destruction, inapprehensible an option as it might be, has been a challenging issue for philosophers and scholars since the dawn of time, forcing meditation into a vigorous and everlasting debate. The core question is: could suicide ever be deemed rational a choice? And if so, could it count as a moral alternative, if the circumstances call for it? The Stoics from Zeno up to Epictetus and Seneca regarded suicide as the ultimate resort, as the utmost opportunity for a rational (...)
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  48. Iconoclast or Creed? Objectivism, pragmatism, and the hierarchy of evidence.Maya J. Goldenberg - 2009 - Perspectives in Biology and Medicine 52 (2):168-187.
    Because “evidence” is at issue in evidence-based medicine (EBM), the critical responses to the movement have taken up themes from post-positivist philosophy of science to demonstrate the untenability of the objectivist account of evidence. While these post-positivist critiques seem largely correct, I propose that when they focus their analyses on what counts as evidence, the critics miss important and desirable pragmatic features of the evidence-based approach. This article redirects critical attention toward EBM’s rigid hierarchy of evidence as the culprit of (...)
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  49. Un problema metafísico en la filosofía de Catharine Trotter Cockburn: el espacio, el alma y la jerarquía de seres / A metaphysical problem in the philosophy of Catharine Trotter Cockburn: space, the soul and the hierarchy of beings.Sofía Beatriz Calvente - 2023 - Thémata Revista de Filosofía 67 (67):139-161.
    Catharine Trotter Cockburn’s metaphysics dissolves the necessary relationship between immateriality, immortality and thought. While in her youth this leads her to admit the possibility of thinking matter, in her mature work, it allows her to conceive space as non-thinking immaterial substance that links non-thinking material substance and thinking immaterial substance. To ground this conception of space, she draws on the thesis of the great chain of being. However, the possibility of thinking matter is not consistent with the hierarchy of beings, (...)
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  50.  81
    Efficiency in Organism-Environment Information Exchanges: A Semantic Hierarchy of Logical Types Based on the Trial-and-Error Strategy Behind the Emergence of Knowledge.Mattia Berera - 2024 - Biosemiotics 17 (1):131-160.
    Based on Kolchinsky and Wolpert’s work on the semantics of autonomous agents, I propose an application of Mathematical Logic and Probability to model cognitive processes. In this work, I will follow Bateson’s insights on the hierarchy of learning in complex organisms and formalize his idea of applying Russell’s Type Theory. Following Weaver’s three levels for the communication problem, I link the Kolchinsky–Wolpert model to Bateson’s insights, and I reach a semantic and conceptual hierarchy in living systems as an explicative model (...)
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