Results for 'axiomatic rejection'

477 found
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  1. Remarks on Axiomatic Rejection in Aristotle’s Syllogistic.Piotr Kulicki - 2002 - Studies in Logic and Theory of Knowledge 5:231-236.
    In the paper we examine the method of axiomatic rejection used to describe the set of nonvalid formulae of Aristotle's syllogistic. First we show that the condition which the system of syllogistic has to fulfil to be ompletely axiomatised, is identical to the condition for any first order theory to be used as a logic program. Than we study the connection between models used or refutation in a first order theory and rejected axioms for that theory. We show (...)
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  2. The Use of Axiomatic Rejection.Piotr Kulicki - 2000 - In Logica yearbook 1999. Filosophia.
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  3. Rejection in Łukasiewicz's and Słupecki's Sense.Urszula Wybraniec-Skardowska - 2018 - In Urszula Wybraniec-Skardowska & Ángel Garrido (eds.), The Lvov-Warsaw School. Past and Present. Basel, Switzerland: pp. 575-597.
    The idea of rejection originated by Aristotle. The notion of rejection was introduced into formal logic by Łukasiewicz [20]. He applied it to complete syntactic characterization of deductive systems using an axiomatic method of rejection of propositions [22, 23]. The paper gives not only genesis, but also development and generalization of the notion of rejection. It also emphasizes the methodological approach to biaspectual axiomatic method of characterization of deductive systems as acceptance (asserted) systems and (...)
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  4.  59
    Rejection in Łukasiewicz's and Słupecki' Sense.Urszula Wybraniec-Skardowska - 2018 - Lvov-Warsaw School. Past and Present.
    The idea of rejection originated by Aristotle. The notion of rejection was introduced into formal logic by Łukasiewicz [20]. He applied it to complete syntactic characterization of deductive systems using an axiomatic method of rejection of propositions [22, 23]. The paper gives not only genesis, but also development and generalization of the notion of rejection. It also emphasizes the methodological approach to biaspectual axiomatic method of characterization of deductive systems as acceptance (asserted) systems and (...)
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  5.  87
    On the Mutual Definability of the Notions of Entailment, Rejection, and Inconsistency.Urszula Wybraniec-Skardowska - 2016 - Axioms 5 (15).
    In this paper, two axiomatic theories T− and T′ are constructed, which are dual to Tarski’s theory T+ (1930) of deductive systems based on classical propositional calculus. While in Tarski’s theory T+ the primitive notion is the classical consequence function (entailment) Cn+, in the dual theory T− it is replaced by the notion of Słupecki’s rejection consequence Cn− and in the dual theory T′ it is replaced by the notion of the family Incons of inconsistent sets. The author (...)
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  6. On Minimal Models for Pure Calculi of Names.Piotr Kulicki - 2013 - Logic and Logical Philosophy 22 (4):429–443.
    By pure calculus of names we mean a quantifier-free theory, based on the classical propositional calculus, which defines predicates known from Aristotle’s syllogistic and Leśniewski’s Ontology. For a large fragment of the theory decision procedures, defined by a combination of simple syntactic operations and models in two-membered domains, can be used. We compare the system which employs `ε’ as the only specific term with the system enriched with functors of Syllogistic. In the former, we do not need an empty name (...)
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  7.  34
    Teoria zdań odrzuconych.Urszula Wybraniec-Skardowska - 1969 - Dissertation, Opole University
    This is the PhD dissertation, written under supervision of Professor Jerzy Słupecki, published in the book: U.Wybraniec-Skardowska i Grzegorz Bryll "Z badań nad teorią zdań odrzuconych" ( "Studies of theory of rejected sentences"), Zeszyty Naukowe Wyższej Szkoły Pedagogicznej w Opolu, Seria B: Studia i Monografie nr 22, pp. 5-131. It is the first, original publication on the theory of rejected sentences on which are based, among other, papers: "Theory of rejected propositions. I"and "Theory of rejected propositions II" with Jerzy Słupecki (...)
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  8.  30
    Rejection, Denial and the Democratic Primaries.Luca Incurvati - forthcoming - Think.
    Starting from the case of insurance claims, I investigate the dynamics of acceptance, rejection and denial. I show that disagreement can be more varied than one might think. I illustrate this by looking at the Warren/Sanders controversy in the 2020 democratic primaries and at religious agnosticism.
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  9. Weak Rejection.Luca Incurvati & Julian J. Schlöder - 2017 - Australasian Journal of Philosophy 95 (4):741-760.
    ABSTRACTLinguistic evidence supports the claim that certain, weak rejections are less specific than assertions. On the basis of this evidence, it has been argued that rejected sentences cannot be premisses and conclusions in inferences. We give examples of inferences with weakly rejected sentences as premisses and conclusions. We then propose a logic of weak rejection which accounts for the relevant phenomena and is motivated by principles of coherence in dialogue. We give a semantics for which this logic is sound (...)
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  10.  47
    Modelling Change in Individual Characteristics: An Axiomatic Framework.Franz Dietrich - 2012 - Games and Economic Behavior 76:471-94.
    Economic models describe individuals in terms of underlying characteristics, such as taste for some good, sympathy level for another player, time discount rate, risk attitude, and so on. In real life, such characteristics change through experiences: taste for Mozart changes through listening to it, sympathy for another player through observing his moves, and so on. Models typically ignore change, not just for simplicity but also because it is unclear how to incorporate change. I introduce a general axiomatic framework for (...)
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  11. Lakatos’ Quasi-Empiricism in the Philosophy of Mathematics.Michael J. Shaffer - 2015 - Polish Journal of Philosophy 9 (2):71-80.
    Imre Lakatos' views on the philosophy of mathematics are important and they have often been underappreciated. The most obvious lacuna in this respect is the lack of detailed discussion and analysis of his 1976a paper and its implications for the methodology of mathematics, particularly its implications with respect to argumentation and the matter of how truths are established in mathematics. The most important themes that run through his work on the philosophy of mathematics and which culminate in the 1976a paper (...)
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  12. The Rejection of Consequentializing.Daniel Muñoz - forthcoming - Journal of Philosophy.
    Consequentialists say we may always promote the good. Deontologists object: not if that means killing one to save five. “Consequentializers” reply: this act is wrong, but it isn’t for the best, since killing is worse than letting die. I argue that this reply undercuts the “compellingness” of consequentialism, which comes from an outcome-based view of action that collapses the distinction between killing and letting die.
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  13.  81
    Axiomatic Theories of Partial Ground I: The Base Theory.Johannes Korbmacher - 2018 - Journal of Philosophical Logic 47 (2):161-191.
    This is part one of a two-part paper, in which we develop an axiomatic theory of the relation of partial ground. The main novelty of the paper is the of use of a binary ground predicate rather than an operator to formalize ground. This allows us to connect theories of partial ground with axiomatic theories of truth. In this part of the paper, we develop an axiomatization of the relation of partial ground over the truths of arithmetic and (...)
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  14. Blind Manuscript Submission to Reduce Rejection Bias?Khaled Moustafa - 2015 - Science and Engineering Ethics 21 (2):535-539.
    High percentages of submitted papers are rejected at editorial levels without offering a second chance to authors by sending their papers for further peer-reviews. In most cases, the rejections are typical quick answers without helpful argumentations related to the content of the rejected material. More surprisingly, some journals vaunt their high rejection rates as a “mark of prestige”!However, journals that reject high percentages of submitted papers have built their prominent positions based on a flawed measure, the impact factor, and (...)
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  15. Logics of Rejection: Two Systems of Natural Deduction.Allard Tamminga - 1994 - Logique Et Analyse 146:169-208.
    This paper presents two systems of natural deduction for the rejection of non-tautologies of classical propositional logic. The first system is sound and complete with respect to the body of all non-tautologies, the second system is sound and complete with respect to the body of all contradictions. The second system is a subsystem of the first. Starting with Jan Łukasiewicz's work, we describe the historical development of theories of rejection for classical propositional logic. Subsequently, we present the two (...)
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  16.  53
    Axiomatic Theories of Partial Ground II: Partial Ground and Hierarchies of Typed Truth.Johannes Korbmacher - 2018 - Journal of Philosophical Logic 47 (2):193-226.
    This is part two of a two-part paper in which we develop an axiomatic theory of the relation of partial ground. The main novelty of the paper is the of use of a binary ground predicate rather than an operator to formalize ground. In this part of the paper, we extend the base theory of the first part of the paper with hierarchically typed truth-predicates and principles about the interaction of partial ground and truth. We show that our theory (...)
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  17.  50
    On the Axiomatic Systems of Syntactically-Categorial Languages.Urszula Wybraniec-Skardowska - 1984 - Bulletin of the Section of Logic 13 (4):241-249.
    The paper contains an overview of the most important results presented in the monograph of the author "Teorie Językow Syntaktycznie-Kategorialnych" ("Theories of Syntactically-Categorial Languages" (in Polish), PWN, Warszawa-Wrocław 1985. In the monograph four axiomatic systems of syntactically-categorial languages are presented. The first two refer to languages of expression-tokens. The others also takes into consideration languages of expression-types. Generally, syntactically-categorial languages are languages built in accordance with principles of the theory of syntactic categories introduced by S. Leśniewski [1929,1930]; they are (...)
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  18. The Two-Envelope Paradox: An Axiomatic Approach.Franz Dietrich & Christian List - 2005 - Mind 114 (454):239-248.
    There has been much discussion on the two-envelope paradox. Clark and Shackel (2000) have proposed a solution to the paradox, which has been refuted by Meacham and Weisberg (2003). Surprisingly, however, the literature still contains no axiomatic justification for the claim that one should be indifferent between the two envelopes before opening one of them. According to Meacham and Weisberg, "decision theory does not rank swapping against sticking [before opening any envelope]" (p. 686). To fill this gap in the (...)
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  19.  65
    Risk Attitudes in Axiomatic Decision Theory: A Conceptual Perspective.Jean Baccelli - 2018 - Theory and Decision 84 (1):61-82.
    In this paper, I examine the decision-theoretic status of risk attitudes. I start by providing evidence showing that the risk attitude concepts do not play a major role in the axiomatic analysis of the classic models of decision-making under risk. This can be interpreted as reflecting the neutrality of these models between the possible risk attitudes. My central claim, however, is that such neutrality needs to be qualified and the axiomatic relevance of risk attitudes needs to be re-evaluated (...)
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  20.  50
    Maximising Expected Value Under Axiological Uncertainty. An Axiomatic Approach.Stefan Riedener - 2015 - Dissertation, Oxford
    The topic of this thesis is axiological uncertainty – the question of how you should evaluate your options if you are uncertain about which axiology is true. As an answer, I defend Expected Value Maximisation (EVM), the view that one option is better than another if and only if it has the greater expected value across axiologies. More precisely, I explore the axiomatic foundations of this view. I employ results from state-dependent utility theory, extend them in various ways and (...)
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  21. The Rejection of Epistemic Consequentialism.Selim Berker - 2013 - Philosophical Issues 23 (1):363-387.
    A quasi-sequel to "Epistemic Teleology and the Separateness of Propositions." Covers some of the same ground, but also extends the basic argument in an important way.
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  22. Responding to N.T. Wright's Rejection of the Soul.Brandon L. Rickabaugh - 2018 - Heythrop Journal 59 (2):201-220.
    At a 2011 meeting of the Society of Christian Philosophers, N. T. Wright offered four reasons for rejecting the existence of soul. This was surprising, as many Christian philosophers had previously taken Wright's defense of a disembodied intermediate state as a defense of a substance dualist view of the soul. In this paper, I offer responses to each of Wright's objections, demonstrating that Wright's arguments fail to undermine substance dualism. In so doing, I expose how popular arguments against dualism fail, (...)
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  23. Cancellation, Negation, and Rejection.Niels Skovgaard-Olsen, Peter Collins, Karolina Krzyżanowska, Ulrike Hahn & Karl Christoph Klauer - 2019 - Cognitive Psychology 108:42-71.
    In this paper, new evidence is presented for the assumption that the reason-relation reading of indicative conditionals ('if A, then C') reflects a conventional implicature. In four experiments, it is investigated whether relevance effects found for the probability assessment of indicative conditionals (Skovgaard-Olsen, Singmann, and Klauer, 2016a) can be classified as being produced by a) a conversational implicature, b) a (probabilistic) presupposition failure, or c) a conventional implicature. After considering several alternative hypotheses and the accumulating evidence from other studies as (...)
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  24.  25
    On the Untrustworthiness of Axiomatic-Founded Science.Spyridon Kakos - 2020 - Harmonia Philosophica.
    The idea of science being the best – or the only – way to reach the truth about our cosmos has been a major belief of modern civilization. Yet, science has grown tall on fragile legs of clay. Every scientific theory uses axioms and assumptions that by definition cannot be proved. This poses a serious limitation to the use of science as a tool to find the truth. The only way to search for the latter is to redefine the former (...)
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  25. Misunderstanding Metaethics: Korsgaard's Rejection of Realism.Nadeem J. Z. Hussain & Nishi Shah - 2006 - In Russ Shafer-Landau (ed.), Oxford Studies in Metaethics: Volume 1. Clarendon Press. pp. 265-94.
    Contemporary Kantianism is often regarded as both a position within normative ethics and as an alternative to metaethical moral realism. We argue that it is not clear how contemporary Kantianism can distinguish itself from moral realism. There are many Kantian positions. For reasons of space we focus on the position of one of the most prominent, contemporary Kantians, Christine Korsgaard. Our claim is that she fails to show either that Kantianism is different or that it is better than realism. Our (...)
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  26. Dewey's Rejection of the Emotion/Expression Distinction.Joel Krueger - 2014 - In Tibor Solymosi & John Shook (eds.), Neuroscience, Neurophilosophy and Pragmatism: Understanding Brains at Work in the World. Palgrave-Macmillan. pp. 140-161.
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  27. Reid's Rejection of Intentionalism.Todd Ganson - 2008 - Oxford Studies in Early Modern Philosophy 4:245-263.
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  28.  54
    Fleeing the Divine: Plato's Rejection of the Ahedonic Ideal in the Philebus.Suzanne Obdrzalek - 2010 - In John Dillon & Brisson Luc (eds.), Plato's Philebus: Selected Papers From the Eighth Symposium Platonicum. pp. 209-214.
    Note: "Next to Godliness" (Apeiron) is an expanded version of this paper. -/- According to Plato's successors, assimilation to god (homoiosis theoi) was the end (telos) of the Platonic system. There is ample evidence to support this claim in dialogues ranging from the Symposium through the Timaeus. However, the Philebus poses a puzzle for this conception of the Platonic telos. On the one hand, Plato states that the gods are beings beyond pleasure while, on the other hand, he argues that (...)
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  29. Berkeley's Rejection of Divine Analogy.Stephen H. Daniel - 2011 - Science Et Esprit 63 (2):149-161.
    Berkeley argues that claims about divine predication (e.g., God is wise or exists) should be understood literally rather than analogically, because like all spirits (i.e., causes), God is intelligible only in terms of the extent of his effects. By focusing on the harmony and order of nature, Berkeley thus unites his view of God with his doctrines of mind, force, grace, and power, and avoids challenges to religious claims that are raised by appeals to analogy. The essay concludes by showing (...)
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  30. Libertarianism and the Rejection of a Basic Income.Peter Vallentyne - 2011 - Basic Income Studies 6:1-12.
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  31. An Axiomatic Version of Fitch’s Paradox.Samuel Alexander - 2013 - Synthese 190 (12):2015-2020.
    A variation of Fitch’s paradox is given, where no special rules of inference are assumed, only axioms. These axioms follow from the familiar assumptions which involve rules of inference. We show (by constructing a model) that by allowing that possibly the knower doesn’t know his own soundness (while still requiring he be sound), Fitch’s paradox is avoided. Provided one is willing to admit that sound knowers may be ignorant of their own soundness, this might offer a way out of the (...)
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  32. Axiomatic Investigations of the Propositional Calculus of Principia Mathematica.Paul Bernays - 2012 - In Universal Logic: An Anthology. New York and Basel: pp. 43-58.
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  33. Axiomatic Foundations of Quantum Mechanics Revisited: The Case for Systems.S. E. Perez-Bergliaffa, Gustavo E. Romero & H. Vucetich - 1996 - International Journal of Theoretical Phyisics 35:1805-1819.
    We present an axiomatization of non-relativistic Quantum Mechanics for a system with an arbitrary number of components. The interpretation of our system of axioms is realistic and objective. The EPR paradox and its relation with realism is discussed in this framework. It is shown that there is no contradiction between realism and recent experimental results.
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  34. Perspectival Logic of Acceptance and Rejection.Alessandro Giordani - 2017 - Logique and Analyse:265-283.
    This paper aims at developing a logical theory of perspectival epistemic attitudes. After presenting a standard framework for modeling acceptance, where the epistemic space of an agent coincides with a unique epistemic cell, more complex systems are introduced, which are characterized by the existence of many connected epistemic cells, and different possible attitudes towards a proposition, both positive and negative, are discussed. In doing that, we also propose some interesting ways in which the systems can be interpreted on well known (...)
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  35. Steps Toward an Axiomatic Pregeometry of Spacetime.S. E. Perez-Bergliaffa, Gustavo E. Romero & H. Vucetich - 1998 - International Journal of Theoretical Physics 37:2281-2298.
    We present a deductive theory of space-time which is realistic, objective, and relational. It is realistic because it assumes the existence of physical things endowed with concrete properties. It is objective because it can be formulated without any reference to cognoscent subjects or sensorial fields. Finally, it is relational because it assumes that space-time is not a thing but a complex of relations among things. In this way, the original program of Leibniz is consummated, in the sense that space is (...)
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  36. Evil as Privation and Leibniz's Rejection of Empty Space.Stephen Puryear - 2016 - In Wenchao Li (ed.), "Für Unser Glück oder das Glück Anderer": Vortrage des X. Internationalen Leibniz-Kongresses, vol. 3. Georg Olms. pp. 481-489.
    I argue that Leibniz's treatment of void or empty space in the appendix to his fourth letter to Clarke conflicts with the way he elsewhere treats (metaphysical) evil, insofar as he allows that God has created a world with the one kind of privation (evil), while insisting that God would not have created a world with the other kind of privation (void). I consider three respects in which the moral case might be thought to differ relevantly from the physical one, (...)
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  37. Towards an Evolutionary Account of Conceptual Change in Mathematics: Proofs and Refutations and the Axiomatic Variation of Concepts.Thomas Mormann - 2002 - In G. Kampis, L.: Kvasz & M. Stöltzner (eds.), Appraising Lakatos: Mathematics, Methodology and the Man. Kluwer Academic Publishers. pp. 1--139.
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  38. On the a Priori Rejection of Evidential Arguments From Evil.Daniel Howard-Snyder & John Hawthorne - 1994 - Sophia:33-47.
    Recent work on the evidential argument from evil offers us sundry considerations which are intended to weigh against this form of atheological arguments. By far the most provocative is that on a priori grounds alone, evil can be shown to be evidentially impotent. This astonishing thesis has been given a vigorous defense by Keith Yandell. In this paper, we shall measure the prospects for an a priori dismissal of evidential arguments from evil.
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  39. Rejection and Truth-Value Gaps.Fred Johnson - 1999 - Notre Dame Journal of Formal Logic 40 (4):574-577.
    A theorem due to Shoesmith and Smiley that axiomatizes two-valued multiple-conclusion logics is extended to partial logics.
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  40.  37
    Horsten, Leon, The Tarskian Turn: Deflationism and Axiomatic Truth, MIT Press, 2011. [REVIEW]Jan Heylen - 2012 - Tijdschrift Voor Filosofie 74 (2):377-379.
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  41. William James's Naturalistic Account of Concepts and His 'Rejection of Logic'.Henry Jackman - 2018 - In Philosophy of Mind in the Nineteenth Century: The History of the Philosophy of Mind, Volume 5. New York: Routledge. pp. 133-146.
    William James was one of the most controversial philosophers of the early part of the 20 century, and his apparent skepticism about logic and any robust conception of truth was often simply attributed to his endorsing mysticism and irrationality out of an overwhelming desire to make room for religion in his world-view. However, it will be argued here that James’s pessimism about logic and even truth (or at least ‘absolute’ truth), while most prominent in his later views, stem from the (...)
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  42. “The Rejection of Radical-Foundationalism and -Skepticism: Pragmatic Belief in God in Eliezer Berkovits’s Thought”.Nadav Berman Shifman - 2019 - Journal of the Goldstein-Goren International Center for Jewish Thought 1 (2019):201-246.
    Faith has many aspects. One of them is whether absolute logical proof for God’s existence is a prerequisite for the proper establishment and individual acceptance of a religious system. The treatment of this question, examined here in the Jewish context of Rabbi Prof. Eliezer Berkovits, has been strongly influenced in the modern era by the radical foundationalism and radical skepticism of Descartes, who rooted in the Western mind the notion that religion and religious issues are “all or nothing” questions. Cartesianism, (...)
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  43.  62
    Axiomatic Foundations for Metrics of Distributive Justice Shown by the Example of Needs-Based Justice.Alexander Max Bauer - 2017 - Forsch! 3 (1):43-60.
    Distributive justice deals with allocations of goods and bads within a group. Different principles and results of distributions are seen as possible ideals. Often those normative approaches are solely framed verbally, which complicates the application to different concrete distribution situations that are supposed to be evaluated in regard to justice. One possibility in order to frame this precisely and to allow for a fine-grained evaluation of justice lies in formal modelling of these ideals by metrics. Choosing a metric that is (...)
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  44. Ortega y Gasset on Natural Selection and the Vocation of Man: Rejection or Elaboration of Darwinism?Lior Rabi - 2015 - Kairos: Journal of Philosophy and Science 13:47-81.
    In many of his writings and lectures Ortega y Gasset criticized Darwinism on numbers of issues. In this paper I aim to reexamine his critique and to prove that in 1916 the harsh critique was designed to hide the similarity between his ideas and Darwin's idea of Natural Selection. The origins of Ortega's idea on the vocation of man can be traced in his dialogue with Darwin in the year 1916. In the historiography his Philosophy of Life is conceived as (...)
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  45. A Rejection of Semantic Holism, Based on Linguistic Relativity and Determinism.Jessica S. Janneck - manuscript
    In this paper, I will argue that semantic holism is, inherently, a false claim. Semantic holism, here, being defined as the meaning of a word or expression in a given language (λ) is constructed by its relation to other words and expressions in said given language (λ) and its role in said given language (λ). The following premises and examples within the premises support the refutability of semantic holism, including linguistic relativity, culture and linguistic determinism.
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  46.  51
    Maasai Rejection of the Western Paradigm of Development: A Foucaultian Analysis.Gail M. Presbey - 2000 - Social Philosophy Today 15:339-359.
    Compared to other ethnic groups in Kenya, the Maasai resisted working wage labor jobs, preferring to continue pastoral practices, even though “development” experts and Kenyans from other ethnic groups derided them as being “backward” and holding back the progress of the country. The phenomenon of Maasai reluctance to adapt to wage labor has been called a "conservative" trend by some, and a radical resistance by others. The British during colonialism seemed irritated and impatient with Maasai for their refusal to work (...)
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  47.  85
    A Philosophical Rejection of The Big Bang Theory.Khuram Rafique - 2018 - Realism & Physics.
    Scientific inquiry takes onward course from the point where previous scientists had reached. But philosophical analysis initiates from scratch. Philosophy questions everything and chooses starting point for itself after having ruled out all the unsubstantiated and doubtful elements of the topic under study. Secondly, known realities must make sense. If a theory is officially 'counterintuitive', then either it is mere fiction or at the most; a distorted form of truth. This book's analysis is based on the philosophical principle that knowledge (...)
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  48.  43
    Epistemic Multilateral Logic.Luca Incurvati & Julian J. Schlöder - forthcoming - Review of Symbolic Logic:1-44.
    We present epistemic multilateral logic, a general logical framework for reasoning involving epistemic modality. Standard bilateral systems use propositional formulae marked with signs for assertion and rejection. Epistemic multilateral logic extends standard bilateral systems with a sign for the speech act of weak assertion (Incurvati and Schlöder 2019) and an operator for epistemic modality. We prove that epistemic multilateral logic is sound and complete with respect to the modal logic S5 modulo an appropriate translation. The logical framework developed provides (...)
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  49. Weak Assertion.Luca Incurvati & Julian J. Schlöder - 2019 - Philosophical Quarterly 69 (277):741-770.
    We present an inferentialist account of the epistemic modal operator might. Our starting point is the bilateralist programme. A bilateralist explains the operator not in terms of the speech act of rejection ; we explain the operator might in terms of weak assertion, a speech act whose existence we argue for on the basis of linguistic evidence. We show that our account of might provides a solution to certain well-known puzzles about the semantics of modal vocabulary whilst retaining classical (...)
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  50. Mathematical Knowledge, the Analytic Method, and Naturalism.Fabio Sterpetti - 2018 - In Sorin Bangu (ed.), Naturalizing Logico-Mathematical Knowledge. Approaches from Philosophy, Psychology and Cognitive Science. New York, Stati Uniti: pp. 268-293.
    This chapter tries to answer the following question: How should we conceive of the method of mathematics, if we take a naturalist stance? The problem arises since mathematical knowledge is regarded as the paradigm of certain knowledge, because mathematics is based on the axiomatic method. Moreover, natural science is deeply mathematized, and science is crucial for any naturalist perspective. But mathematics seems to provide a counterexample both to methodological and ontological naturalism. To face this problem, some authors tried to (...)
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