Results for ' standard cut'

967 found
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  1.  21
    Simple Decision Procedure for S5 in Standard Cut-Free Sequent Calculus.Andrzej Indrzejczak - 2016 - Bulletin of the Section of Logic 45 (2).
    In the paper a decision procedure for S5 is presented which uses a cut-free sequent calculus with additional rules allowing a reduction to normal modal forms. It utilizes the fact that in S5 every formula is equivalent to some 1-degree formula, i.e. a modally-flat formula with modal functors having only boolean formulas in its scope. In contrast to many sequent calculi for S5 the presented system does not introduce any extra devices. Thus it is a standard version of SC (...)
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  2.  31
    In Defense of the Standard Picture: Overcoming Death by a Thousand Cuts.Larry Alexander - 2023 - Ratio Juris 36 (3):199-213.
    In a previous article, I defended the standard picture of law (or SP), so labeled by its foremost critic, Mark Greenberg. In that article, I addressed Greenberg's root-and-branch critique of the SP and, to a much lesser extent, a related critique by Scott Hershovitz. But the Greenberg and Hershovitz frontal attacks on the SP are not its only threats. Some theorists, while not attacking the SP directly, give accounts of law that the SP cannot accommodate. Those theorists will be (...)
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  3. Strong Cut-Elimination, Coherence, and Non-deterministic Semantics.Arnon Avron - unknown
    An (n, k)-ary quantifier is a generalized logical connective, binding k variables and connecting n formulas. Canonical systems with (n, k)-ary quantifiers form a natural class of Gentzen-type systems which in addition to the standard axioms and structural rules have only logical rules in which exactly one occurrence of a quantifier is introduced. The semantics for these systems is provided using two-valued non-deterministic matrices, a generalization of the classical matrix. In this paper we use a constructive syntactic criterion of (...)
     
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  4.  4
    Uniform Cut-Free Bisequent Calculi for Three-Valued Logics.Andrzej Indrzejczak & Yaroslav Petrukhin - 2024 - Logic and Logical Philosophy 33 (3):463-506.
    We present a uniform characterisation of three-valued logics by means of a bisequent calculus (BSC). It is a generalised form of a sequent calculus (SC) where rules operate on the ordered pairs of ordinary sequents. BSC may be treated as the weakest kind of system in the rich family of generalised SC operating on items being some collections of ordinary sequents, like hypersequent and nested sequent calculi. It seems that for many non-classical logics, including some many-valued, paraconsistent and modal logics, (...)
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  5.  18
    Cutting red tape to manage public health threats: An ethical dilemma of expediting antibiotic drug innovation.Christian Munthe & Niels Nijsingh - 2019 - Bioethics 33 (7):785-791.
    Antibiotic resistance, arising when bacteria develop defences against antibiotics, is creating a public health threat of massive proportions. This raises challenging questions for standard notions in bioethics when suitable policy is to be characterized and justified. We examine the particular proposal of expediting innovation of new antibiotics by cutting various forms of regulatory ‘red tape’ in the standard system for the clinical introduction of new drugs. We find strong principled reasons in favour of such a lowering of the (...)
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  6. Cut-Elimination and Quantification in Canonical Systems.Anna Zamansky & Arnon Avron - 2006 - Studia Logica 82 (1):157-176.
    Canonical Propositional Gentzen-type systems are systems which in addition to the standard axioms and structural rules have only pure logical rules with the sub-formula property, in which exactly one occurrence of a connective is introduced in the conclusion, and no other occurrence of any connective is mentioned anywhere else. In this paper we considerably generalize the notion of a “canonical system” to first-order languages and beyond. We extend the Propositional coherence criterion for the non-triviality of such systems to rules (...)
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  7.  83
    Decoherence and the Copenhagen cut.Scott Tanona - 2013 - Synthese 190 (16):3625-3649.
    While it is widely agreed that decoherence will not solve the measurement problem, decoherence has been used to explain the “emergence of classicality” and to eliminate the need for a Copenhagen edict that some systems simply have to be treated as classical via a quantum-classical “cut”. I argue that decoherence still relies on such a cut. Decoherence accounts derive classicality only in virtue of their incompleteness, by omission of part of the entangled system of which the classical-appearing subsystem is a (...)
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  8.  43
    Cut Elimination and Normalization for Generalized Single and Multi-Conclusion Sequent and Natural Deduction Calculi.Richard Zach - 2021 - Review of Symbolic Logic 14 (3):645-686.
    Any set of truth-functional connectives has sequent calculus rules that can be generated systematically from the truth tables of the connectives. Such a sequent calculus gives rise to a multi-conclusion natural deduction system and to a version of Parigot’s free deduction. The elimination rules are “general,” but can be systematically simplified. Cut-elimination and normalization hold. Restriction to a single formula in the succedent yields intuitionistic versions of these systems. The rules also yield generalized lambda calculi providing proof terms for natural (...)
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  9. (1 other version)Cut of the Real: Subjectivity in Poststructuralist Philosophy.Katerina Kolozova & Francois Laruelle - 2014 - New York: Columbia University Press.
    Following François Laruelle's nonstandard philosophy and the work of Judith Butler, Drucilla Cornell, Luce Irigaray, and Rosi Braidotti, Katerina Kolozova reclaims the relevance of categories traditionally rendered "unthinkable" by postmodern feminist philosophies, such as "the real," "the one," "the limit," and "finality," thus critically repositioning poststructuralist feminist philosophy and gender/queer studies. Poststructuralist (feminist) theory sees the subject as a purely linguistic category, as _always alread_y multiple, as _always already_ nonfixed and fluctuating, as limitless discursivity, and as constitutively detached from the (...)
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  10.  28
    Cut-elimination Theorems of Some Infinitary Modal Logics.Yoshihito Tanaka - 2001 - Mathematical Logic Quarterly 47 (3):327-340.
    In this article, a cut-free system TLMω1 for infinitary propositional modal logic is proposed which is complete with respect to the class of all Kripke frames.The system TLMω1 is a kind of Gentzen style sequent calculus, but a sequent of TLMω1 is defined as a finite tree of sequents in a standard sense. We prove the cut-elimination theorem for TLMω1 via its Kripke completeness.
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  11.  14
    Female Genital Mutilation/cutting in the UK: Challenging the Inconsistencies.Moira Dustin - 2010 - European Journal of Women's Studies 17 (1):7-23.
    Debates about female genital mutilation/cutting have polarized opinion between those who see it as an abuse of women’s health and human rights, to be ‘eradicated’, and those who may or may not oppose the practice, but see a double standard on the part of western campaigners who fail to challenge other unnecessary surgical interventions — such as male circumcision or cosmetic surgery — in their own communities and cultures. This article interrogates these debates about FGM/c in the context of (...)
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  12.  44
    Inverse problem for cuts.Renling Jin - 2007 - Logic and Analysis 1 (1):61-89.
    Let U be an initial segment of $^*{\mathbb N}$ closed under addition (such U is called a cut) with uncountable cofinality and A be a subset of U, which is the intersection of U and an internal subset of $^*{\mathbb N}$ . Suppose A has lower U-density α strictly between 0 and 3/5. We show that either there exists a standard real $\epsilon$ > 0 and there are sufficiently large x in A such that | (A+A) ∩ [0, 2x]| (...)
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  13.  68
    Cutting Through Red Tape: Non-therapeutic Circumcision and Unethical Guidelines.David Shaw - 2009 - Clinical Ethics 4 (4):181-186.
    Current General Medical Council guidelines state that any doctor who does not wish to carry out a non-therapeutic circumcision (NTC) on a boy must invoke conscientious objection. This paper argues that this is illogical, as it is clear that an ethical doctor will object to conducting a clinically unnecessary operation on a child who cannot consent simply because of the parents’ religious beliefs. Comparison of the GMC guidelines with the more sensible British Medical Association guidance reveals that both are biased (...)
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  14.  77
    Cutting Motherhood in Two: Some Suspicions Concerning Surrogacy.Hilde Lindemann Nelson & James Lindemann Nelson - 1989 - Hypatia 4 (3):85-94.
    Surrogate motherhood-at least if carefully structured to protect the interests of the women involved-seems defensible along standard liberal lines which place great stress on free agreements as moral bedrocks. But feminist theories have tended to be suspicious about the importance assigned to this notion by mainstream ethics, and in this paper, we develop implications of those suspicions for surrogacy. We argue that the practice is inconsistent with duties parents owe to children and that it compromises the freedom of surrogates (...)
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  15.  50
    Indexed systems of sequents and cut-elimination.Grigori Mints - 1997 - Journal of Philosophical Logic 26 (6):671-696.
    Cut reductions are defined for a Kripke-style formulation of modal logic in terms of indexed systems of sequents. A detailed proof of the normalization (cutelimination) theorem is given. The proof is uniform for the propositional modal systems with all combinations of reflexivity, symmetry and transitivity for the accessibility relation. Some new transformations of derivations (compared to standard sequent formulations) are needed, and some additional properties are to be checked. The display formulations [1] of the systems considered can be presented (...)
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  16.  39
    Omega-inconsistency without cuts and nonstandard models.Andreas Fjellstad - 2016 - Australasian Journal of Logic 13 (5).
    This paper concerns the relationship between transitivity of entailment, omega-inconsistency and nonstandard models of arithmetic. First, it provides a cut-free sequent calculus for non-transitive logic of truth STT based on Robinson Arithmetic and shows that this logic is omega-inconsistent. It then identifies the conditions in McGee for an omega-inconsistent logic as quantified standard deontic logic, presents a cut-free labelled sequent calculus for quantified standard deontic logic based on Robinson Arithmetic where the deontic modality is treated as a predicate, (...)
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  17.  72
    Male or female genital cutting: why ‘health benefits’ are morally irrelevant.Brian D. Earp - 2021 - Journal of Medical Ethics 47 (12):e92-e92.
    The WHO, American Academy of Pediatrics and other Western medical bodies currently maintain that all medically unnecessary female genital cutting of minors is categorically a human rights violation, while either tolerating or actively endorsing medically unnecessary male genital cutting of minors, especially in the form of penile circumcision. Given that some forms of female genital cutting, such as ritual pricking or nicking of the clitoral hood, are less severe than penile circumcision, yet are often performed within the same families for (...)
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  18. Cut elimination for systems of transparent truth with restricted initial sequents.Carlo Nicolai - manuscript
    The paper studies a cluster of systems for fully disquotational truth based on the restriction of initial sequents. Unlike well-known alternative approaches, such systems display both a simple and intuitive model theory and remarkable proof-theoretic properties. We start by showing that, due to a strong form of invertibility of the truth rules, cut is eliminable in the systems via a standard strategy supplemented by a suitable measure of the number of applications of truth rules to formulas in derivations. Next, (...)
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  19.  22
    “Cutting Them Down to Size”: Humbling and Protreptic in Plato’s Lysis.Trevor Anderson & Reid Comstock - 2023 - Archai: Revista de Estudos Sobre as Origens Do Pensamento Ocidental 32:e-03238.
    This article examines the role that humbling plays in Socratic practice. Specifically, we consider how Socrates humbles his interlocutors in order to turn them towards the pursuit of philosophical friendship. We argue against a standard interpretation of humbling in the Lysis, which holds that Socrates humbles Lysis by exposing his own ignorance to him at 210d. Instead, we argue that the humbling occurs not when Lysis is (allegedly) made aware of his own ignorance, but at 222d near the end (...)
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  20.  42
    The Cut and Paste Society: Isomorphism in Codes of Ethics. [REVIEW]Lori Holder-Webb & Jeffrey Cohen - 2012 - Journal of Business Ethics 107 (4):485-509.
    Regulatory responses to the business failures of 1998–2001 framed them as a general failure of governance and ethics rather than as firm-specific problems. Among the regulatory responses are Section 406 of Sarbanes–Oxley Act, SEC, and exchange requirements to provide a Code of Ethics. However, institutional pressures surrounding this regulation suggest the potential for symbolic responses and decoupling of response from organizational action. In this article, we examine Codes of Ethics for a stratified sample of 75 U.S. firms across five distinct (...)
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  21. Gentzen’s “cut rule” and quantum measurement in terms of Hilbert arithmetic. Metaphor and understanding modeled formally.Vasil Penchev - 2022 - Logic and Philosophy of Mathematics eJournal 14 (14):1-37.
    Hilbert arithmetic in a wide sense, including Hilbert arithmetic in a narrow sense consisting by two dual and anti-isometric Peano arithmetics, on the one hand, and the qubit Hilbert space (originating for the standard separable complex Hilbert space of quantum mechanics), on the other hand, allows for an arithmetic version of Gentzen’s cut elimination and quantum measurement to be described uniformy as two processes occurring accordingly in those two branches. A philosophical reflection also justifying that unity by quantum neo-Pythagoreanism (...)
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  22.  17
    Caveat Emptor Doesn’t Cut It.Rachel Cooper - 2013 - Voices in Bioethics 2013.
    We live in the era of Facebook, Fitbit, and Skype. As such, it would be unreasonable to expect that the healthcare industry would not see the same kind of globalization as do our social spheres and consumer activities. Indeed, the explosion of information technology, the ease of transcontinental travel, and the emergence of a more globally aware citizenry allows for scientific collaboration that has had many positive effects on global health. However, the economic and structural disparities between systems of healthcare (...)
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  23.  80
    A Non-Standard Analysis of a Cultural Icon: The Case of Paul Halmos.Piotr Błaszczyk, Alexandre Borovik, Vladimir Kanovei, Mikhail G. Katz, Taras Kudryk, Semen S. Kutateladze & David Sherry - 2016 - Logica Universalis 10 (4):393-405.
    We examine Paul Halmos’ comments on category theory, Dedekind cuts, devil worship, logic, and Robinson’s infinitesimals. Halmos’ scepticism about category theory derives from his philosophical position of naive set-theoretic realism. In the words of an MAA biography, Halmos thought that mathematics is “certainty” and “architecture” yet 20th century logic teaches us is that mathematics is full of uncertainty or more precisely incompleteness. If the term architecture meant to imply that mathematics is one great solid castle, then modern logic tends to (...)
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  24.  31
    “Nanostandardization” in Action: Implementing Standardization Processes in a Multidisciplinary Nanoparticle-Based Research and Development Project.François Roubert, Marie-Gabrielle Beuzelin-Ollivier, Margarethe Hofmann-Amtenbrink, Heinrich Hofmann & Alessandra Hool - 2016 - NanoEthics 10 (1):41-62.
    Nanomaterials have attracted much interest in the medical field and related applications as their distinct properties in the nanorange enable new and improved diagnosis and therapies. Owing to these properties and their potential interactions with the human body and the environment, the impact of nanomaterials on humans and their potential toxicity have been regarded a very significant issue. Consequently, nanomaterials are the subject of a wide range of cutting-edge research efforts in the medical and related fields to thoroughly probe their (...)
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  25.  8
    SCI–Sequent Calculi, Cut Elimination and Interpolation Property.Andrzej Indrzejczak - 2024 - In Jacek Malinowski & Rafał Palczewski (eds.), Janusz Czelakowski on Logical Consequence. Springer Verlag. pp. 323-343.
    We discuss the methods for providing sequent calculi for Suszko’s basic non-Fregean Logic with sentential identity SCI. After examination of possible strategies and already proposed systems we focus on the new calculus and its modification. It does not satisfy full cut elimination but a slightly generalised form of the subformula property holds for it. It is also standard in the sense of satisfying several conditions on rules formulated by Gentzen and his followers. We examine also the problem of providing (...)
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  26. Opportunities and Problems of Standardized Ethics Initiatives – a Stakeholder Theory Perspective.Dirk Ulrich Gilbert & Andreas Rasche - 2008 - Journal of Business Ethics 82 (3):755-773.
    This article explains problems and opportunities created by standardized ethics initiatives (e.g., the UN Global Compact, the Global Reporting Initiative, and SA 8000) from the perspective of stakeholder theory. First, we outline differences and commonalities among currently existing initiatives and thus generate a common ground for our discussion. Second, based on these remarks, we critically evaluate standardized ethics initiatives by drawing on descriptive, instrumental, and normative stakeholder theory. In doing so, we explain why these standards are helpful tools when it (...)
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  27.  48
    Standard Model Gauge Couplings from Gauge-Dilatation Symmetry Breaking.Kosuke Odagiri - 2014 - Foundations of Physics 44 (9):932-952.
    It is well known that the self-energy of the gauge bosons is quadratically divergent in the Standard Model when a simple cutoff is imposed. We demonstrate phenomenologically that the quadratic divergences in fact unify. The unification occurs at a surprisingly low scale, \(\Lambda _\mathrm {u}\approx 4\times 10^7\) GeV. Suppose now that there is a spontaneously broken rotational symmetry between the space-time coordinates and gauge theoretical phases. The symmetry-breaking pattern is such that the gauge bosons arise as the massless Goldstone (...)
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  28. Analyticity, Balance and Non-admissibility of Cut in Stoic Logic.Susanne Bobzien & Roy Dyckhoff - 2018 - Studia Logica 107 (2):375-397.
    This paper shows that, for the Hertz–Gentzen Systems of 1933, extended by a classical rule T1 and using certain axioms, all derivations are analytic: every cut formula occurs as a subformula in the cut’s conclusion. Since the Stoic cut rules are instances of Gentzen’s Cut rule of 1933, from this we infer the decidability of the propositional logic of the Stoics. We infer the correctness for this logic of a “relevance criterion” and of two “balance criteria”, and hence that a (...)
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  29.  76
    ‘A river that is cutting its own bed’: the serology of syphilis between laboratory, society and the law.Ilana Löwy - 2004 - Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences 35 (3):509-524.
    This paper focuses on the role of regulation in the shaping new scientific facts. Fleck chose to study the origins of a diagnostic test for a disease seen as a major public health problem, that is, a ‘scientific fact’ that had a direct and immediate influence outside the closed universe of fundamental scientific research. In 1935, when Fleck wrote his book, Genesis and development of a scientific fact, he believed that the tumultuous early history of the Wassermann reaction had come (...)
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  30.  16
    An Efficient Weakly Supervised Approach for Texture Segmentation via Graph Cuts.Arnav V. Bhavsar - 2013 - Journal of Intelligent Systems 22 (3):253-267.
    We propose an approach for texture segmentation based on weak supervised learning. The weak supervision implies that the user marks only a single small patch for each class in the input image. These patches are used for training. We employ the method of graph cuts for the segmentation task. Our work demonstrates that even under such weak training, texture segmentation can be achieved efficiently and with good accuracy via graph cuts. Moreover, our approach uses a simpler feature representation than that (...)
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  31. Capturing naive validity in the Cut-free approach.Eduardo Barrio, Lucas Rosenblatt & Diego Tajer - 2016 - Synthese 199 (Suppl 3):707-723.
    Rejecting the Cut rule has been proposed as a strategy to avoid both the usual semantic paradoxes and the so-called v-Curry paradox. In this paper we consider if a Cut-free theory is capable of accurately representing its own notion of validity. We claim that the standard rules governing the validity predicate are too weak for this purpose and we show that although it is possible to strengthen these rules, the most obvious way of doing so brings with it a (...)
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  32.  35
    What Is the Minimal Competency for a Clinical Ethics Consult Simulation? Setting a Standard for Use of the Assessing Clinical Ethics Skills (ACES) Tool.Katherine Wasson, William H. Adams, Kenneth Berkowitz, Marion Danis, Arthur R. Derse, Mark G. Kuczewski, Michael McCarthy, Kayhan Parsi & Anita J. Tarzian - 2019 - AJOB Empirical Bioethics 10 (3):164-172.
    Background: The field of clinical ethics is examining ways of determining competency. The Assessing Clinical Ethics Skills (ACES) tool offers a new approach that identifies a range of skills necessary in the conduct of clinical ethics consultation and provides a consistent framework for evaluating these skills. Through a training website, users learn to apply the ACES tool to clinical ethics consultants (CECs) in simulated ethics consultation videos. The aim is to recognize competent and incompetent clinical ethics consultation skills by watching (...)
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  33.  28
    (1 other version)Value-Definiteness and Contextualism: Cut and Paste with Hilbert Space.Allen Stairs - 1992 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:91 - 103.
    I begin with an appeal to the GHZ/Mermin state to illustrate the allure of contextualism and value-definiteness. I then point out that standard contextualism, with its special status for non-degenerate operators, faces some embarrassing questions. Further, there is an alternative that apparently does not have the same problems. A modest re-pasting of Hilbert space makes the honors almost even between these two varieties. The paper closes with some reflections on the peculiarities of contextualism.
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  34.  47
    Common knowledge: finite calculus with syntactic cut-elimination procedure.Francesca Poggiolesi & Brian Hill - 2015 - Logique Et Analyse 58 (230):279-306.
    In this paper we present a finitary sequent calculus for the S5 multi-modal system with common knowledge. The sequent calculus is based on indexed hypersequents which are standard hypersequents refined with indices that serve to show the multi-agent feature of the system S5. The calculus has a non-analytic right introduction rule. We prove that the calculus is contraction- and weakening-free, that (almost all) its logical rules are invertible, and finally that it enjoys a syntactic cut-elimination procedure. Moreover, the use (...)
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  35. A Triple Correspondence in Canonical Calculi: Strong Cut-Elimination, Coherence, and Non-deterministic Semantics.Arnon Avron & Anna Zamansky - unknown
    An (n, k)-ary quantifier is a generalized logical connective, binding k variables and connecting n formulas. Canonical systems with (n, k)-ary quantifiers form a natural class of Gentzen-type systems which in addition to the standard axioms and structural rules have only logical rules in which exactly one occurrence of a quantifier is introduced. The semantics for these systems is provided using two-valued non-deterministic matrices, a generalization of the classical matrix. In this paper we use a constructive syntactic criterion of (...)
     
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  36. On the Cutting Edge: Ethical Responsiveness to Cesarean Rates.Sylvia Burrow - 2012 - American Journal of Bioethics 12 (7):44-52.
    Cesarean delivery rates have been steadily increasing worldwide. In response, many countries have introduced target goals to reduce rates. But a focus on target goals fails to address practices embedded in standards of care that encourage, rather than discourage, cesarean sections. Obstetrical standards of care normalize use of technology, creating an imperative to use technology during labor and birth. A technological imperative is implicated in rising cesarean rates if physicians or patients fear refusing use of technology. Reproductive autonomy is at (...)
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  37. A Simple Proof of Completeness and Cut-elimination for Propositional G¨ odel Logic.Arnon Avron - unknown
    We provide a constructive, direct, and simple proof of the completeness of the cut-free part of the hypersequential calculus for G¨odel logic (thereby proving both completeness of the calculus for its standard semantics, and the admissibility of the cut rule in the full calculus). We then extend the results and proofs to derivations from assumptions, showing that such derivations can be confined to those in which cuts are made only on formulas which occur in the assumptions.
     
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  38.  3
    (1 other version)Better to Have No Deep Cut Anywhere in the Biopsychosocial System.Derek Bolton - 2024 - Philosophy Psychiatry and Psychology 31 (3):321-324.
    In lieu of an abstract, here is a brief excerpt of the content:Better to Have No Deep Cut Anywhere in the Biopsychosocial SystemDerek Bolton, PhD (bio)It is very good to see theoretical work on the biopsychosocial model, acknowledging the causal role of these three kinds of factors in health and disease. I think Ongaro is right to argue that the biopsychosocial model requires an account of these three also being one—integrated—and that systems theoretic concepts such as dynamic, nonlinear causation are (...)
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  39.  21
    Rank-initial embeddings of non-standard models of set theory.Paul Kindvall Gorbow - 2020 - Archive for Mathematical Logic 59 (5-6):517-563.
    A theoretical development is carried to establish fundamental results about rank-initial embeddings and automorphisms of countable non-standard models of set theory, with a keen eye for their sets of fixed points. These results are then combined into a “geometric technique” used to prove several results about countable non-standard models of set theory. In particular, back-and-forth constructions are carried out to establish various generalizations and refinements of Friedman’s theorem on the existence of rank-initial embeddings between countable non-standard models (...)
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  40.  21
    Deepening Understanding of Certification Adoption and Non-Adoption of International-Supplier Ethical Standards.Andrea M. Prado & Arch G. Woodside - 2015 - Journal of Business Ethics 132 (1):105-125.
    This study presents a theory of causally complex configurations of antecedent conditions influencing the adoption versus non-adoption of international supplier ethical certification-standards. Using objective measures of antecedents and outcomes, a large-scale study of exporting firms in the cut-flower industry in two South American countries supports the theory. The theory includes the following and additional propositions. No single -antecedent condition is sufficient for accurately predicting a high membership score in outcome conditions; the outcome conditions include a firm’s adoption or rejection of (...)
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  41.  51
    How to extend the semantic tableaux and cut-free versions of the second incompleteness theorem almost to Robinson's arithmetic Q.Dan E. Willard - 2002 - Journal of Symbolic Logic 67 (1):465-496.
    Let us recall that Raphael Robinson's Arithmetic Q is an axiom system that differs from Peano Arithmetic essentially by containing no Induction axioms [13], [18]. We will generalize the semantic-tableaux version of the Second Incompleteness Theorem almost to the level of System Q. We will prove that there exists a single rather long Π 1 sentence, valid in the standard model of the Natural Numbers and denoted as V, such that if α is any finite consistent extension of Q (...)
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  42.  11
    Clitoral reconstruction after female genital mutilation/cutting (FGM/C): on the difficulties of generating evidence and its normative implications for counseling practice.Mariacarla Gadebusch Bondio & Emilia Lehmann-Solomatin - 2024 - Ethik in der Medizin 36 (4):585-603.
    Background Female genital mutilation and circumcision (FGM/C) practices present physicians in Germany with numerous challenges. One possible intervention is elective clitoral reconstruction for esthetic and physiological recovery after FGM/C. Even if the study situation regarding the results achieved by clitoral reconstruction is controversial, the range of reconstruction options is increasing. Arguments The aim of this study is to critically examine the epistemic and ethical dimensions of the interdisciplinary debate on clitoral reconstruction that has arisen over the last 20 years. It (...)
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  43.  12
    The Euro as a Proxy for the Classical Gold Standard? Government Debt Financing and Political Commitment in Historical Perspective.Andreas Hoffmann - 2013 - Journal des Economistes Et des Etudes Humaines 19 (1):41-61.
    The paper addresses some similarities and differences in the institutional set-up of the classical gold standard and European Monetary Union. I argue that giving up monetary nationalism and committing to the rules of either the gold standard or EMU initially seemed to restrict the scope of state action. Therefore, the euro – like previously the gold standard – provided some policy credibility. Policy credibility was a main determinant of capital market integration and low government borrowing costs in (...)
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  44.  33
    The classification of psychiatric disorders according to DSM-5 deserves an internationally standardized psychological test battery on symptom level.Dalena Van Heugten - Van Der Kloet & Ton van Heugten - 2015 - Frontiers in Psychology 6:153486.
    Failings of a categorical systemFor decades, standardized classification systems have attempted to define psychiatric disorders in our mental health care system, with the Diagnostic and Statistical Manual of Mental Disorders (5th ed.; DSM-5; American Psychiatric Association (APA), 2013) and International Statistical Classification of Diseases and Related Health Problems 10th revision (ICD-10; World Health Organization, 2010) being internationally best-known. One of the major advantages of the DSM must be that it has seriously diminished the international linguistic confusion regarding psychiatric disorders. Since (...)
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  45.  17
    The Lifeboat at World's End: Moving Beyond Crisis Standards of Care.James E. Black - 2022 - Perspectives in Biology and Medicine 65 (4):559-568.
    ABSTRACT:It may be too late to avoid the climate crisis, likely to be humanity's most expensive, widespread, and enduring catastrophe. This is a qualitatively different kind of catastrophe, in which increased costs, decreased revenue, and no possibility of bailout force communities to harshly cut budgets, especially in health care. Little is known about making such brutal cuts fair or efficient, nor how to help the public accept them. The crisis presents an opportunity for bioethicists to play a crucial role, but (...)
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  46.  15
    Evaluating the Role of Machine Learning in Economics: A Cutting-Edge Addition or Rhetorical Device?Sławomir Czech - 2023 - Studies in Logic, Grammar and Rhetoric 68 (1):279-293.
    This paper explores the integration of machine learning into economics and social sciences, assessing its potential impact and limitations. It introduces fundamental machine learning concepts and principles, highlighting the differences between the two disciplines, particularly the focus on causal inference in economics and prediction in machine learning. The paper discusses diverse applications of machine learning, from extracting insights from unstructured data to creating novel indicators and improving predictive accuracy, while also addressing challenges related to data quality, computational efficiency, and data (...)
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    Existentially Closed Models in the Framework of Arithmetic.Zofia Adamowicz, Andrés Cordón-Franco & F. Félix Lara-martín - 2016 - Journal of Symbolic Logic 81 (2):774-788.
    We prove that the standard cut is definable in each existentially closed model ofIΔ0+ exp by a (parameter free) П1–formula. This definition is optimal with respect to quantifier complexity and allows us to improve some previously known results on existentially closed models of fragments of arithmetic.
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  48.  17
    Self-Embeddings of Models of Arithmetic; Fixed Points, Small Submodels, and Extendability.Saeideh Bahrami - 2024 - Journal of Symbolic Logic 89 (3):1044-1066.
    In this paper we will show that for every cut I of any countable nonstandard model $\mathcal {M}$ of $\mathrm {I}\Sigma _{1}$, each I-small $\Sigma _{1}$ -elementary submodel of $\mathcal {M}$ is of the form of the set of fixed points of some proper initial self-embedding of $\mathcal {M}$ iff I is a strong cut of $\mathcal {M}$. Especially, this feature will provide us with some equivalent conditions with the strongness of the standard cut in a given countable model (...)
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    Propositions in Prepositional Logic Provable Only by Indirect Proofs.Jan Ekman - 1998 - Mathematical Logic Quarterly 44 (1):69-91.
    In this paper it is shown that addition of certain reductions to the standard cut removing reductions of deductions in prepositional logic makes prepositional logic non-normalizable. From this follows that some provable propositions in prepositional logic has no direct proof.
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    Classifying the provably total functions of pa.Andreas Weiermann - 2006 - Bulletin of Symbolic Logic 12 (2):177-190.
    We give a self-contained and streamlined version of the classification of the provably computable functions of PA. The emphasis is put on illuminating as well as seems possible the intrinsic computational character of the standard cut elimination process. The article is intended to be suitable for teaching purposes and just requires basic familiarity with PA and the ordinals below ε0. (Familiarity with a cut elimination theorem for a Gentzen or Tait calculus is helpful but not presupposed).
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