Results for 'set abstractor'

971 found
Order:
  1. Variable Binding Term Operators.John Corcoran, William Hatcher & John Herring - 1972 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 18 (12):177-182.
    Chapin reviewed this 1972 ZEITSCHRIFT paper that proves the completeness theorem for the logic of variable-binding-term operators created by Corcoran and his student John Herring in the 1971 LOGIQUE ET ANALYSE paper in which the theorem was conjectured. This leveraging proof extends completeness of ordinary first-order logic to the extension with vbtos. Newton da Costa independently proved the same theorem about the same time using a Henkin-type proof. This 1972 paper builds on the 1971 “Notes on a Semantic Analysis of (...)
    Download  
     
    Export citation  
     
    Bookmark   7 citations  
  2. Arithmetic, Set Theory, Reduction and Explanation.William D’Alessandro - 2018 - Synthese 195 (11):5059-5089.
    Philosophers of science since Nagel have been interested in the links between intertheoretic reduction and explanation, understanding and other forms of epistemic progress. Although intertheoretic reduction is widely agreed to occur in pure mathematics as well as empirical science, the relationship between reduction and explanation in the mathematical setting has rarely been investigated in a similarly serious way. This paper examines an important particular case: the reduction of arithmetic to set theory. I claim that the reduction is unexplanatory. In defense (...)
    Download  
     
    Export citation  
     
    Bookmark   9 citations  
  3. Set-theoretic pluralism and the Benacerraf problem.Justin Clarke-Doane - 2020 - Philosophical Studies 177 (7):2013-2030.
    Set-theoretic pluralism is an increasingly influential position in the philosophy of set theory (Balaguer [1998], Linksy and Zalta [1995], Hamkins [2012]). There is considerable room for debate about how best to formulate set-theoretic pluralism, and even about whether the view is coherent. But there is widespread agreement as to what there is to recommend the view (given that it can be formulated coherently). Unlike set-theoretic universalism, set-theoretic pluralism affords an answer to Benacerraf’s epistemological challenge. The purpose of this paper is (...)
    Download  
     
    Export citation  
     
    Bookmark   10 citations  
  4. 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 (...)
    Download  
     
    Export citation  
     
    Bookmark   18 citations  
  5. Critical-Set Views, Biographical Identity, and the Long Term.Elliott Thornley - forthcoming - Australasian Journal of Philosophy.
    Critical-set views avoid the Repugnant Conclusion by subtracting some constant from the welfare score of each life in a population. These views are thus sensitive to facts about biographical identity: identity between lives. In this paper, I argue that questions of biographical identity give us reason to reject critical-set views and embrace the total view. I end with a practical implication. If we shift our credences towards the total view, we should also shift our efforts towards ensuring that humanity survives (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  6. Causal Set Theory and Growing Block? Not Quite.Marco Forgione - manuscript
    In this contribution, I explore the possibility of characterizing the emergence of time in causal set theory (CST) in terms of the growing block universe (GBU) metaphysics. I show that although GBU seems to be the most intuitive time metaphysics for CST, it leaves us with a number of interpretation problems, independently of which dynamics we choose to favor for the theory —here I shall consider the Classical Sequential Growth and the Covariant model. Discrete general covariance of the CSG dynamics (...)
    Download  
     
    Export citation  
     
    Bookmark  
  7. Nonstandard set theories and information management.Varol Akman & Mujdat Pakkan - 1996 - Journal of Intelligent Information Systems 6:5-31.
    The merits of set theory as a foundational tool in mathematics stimulate its use in various areas of artificial intelligence, in particular intelligent information systems. In this paper, a study of various nonstandard treatments of set theory from this perspective is offered. Applications of these alternative set theories to information or knowledge management are surveyed.
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  8. Aggregating sets of judgments: An impossibility result.Christian List & Philip Pettit - 2002 - Economics and Philosophy 18 (1):89-110.
    Suppose that the members of a group each hold a rational set of judgments on some interconnected questions, and imagine that the group itself has to form a collective, rational set of judgments on those questions. How should it go about dealing with this task? We argue that the question raised is subject to a difficulty that has recently been noticed in discussion of the doctrinal paradox in jurisprudence. And we show that there is a general impossibility theorem that that (...)
    Download  
     
    Export citation  
     
    Bookmark   255 citations  
  9. (1 other version)Modal set theory.Christopher Menzel - 2018 - In Otávio Bueno & Scott A. Shalkowski (eds.), The Routledge Handbook of Modality. New York: Routledge.
    This article presents an overview of the basic philosophical motivations for, and some recent work in, modal set theory.
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  10. Wand/Set Theories: A realization of Conway's mathematicians' liberation movement, with an application to Church's set theory with a universal set.Tim Button - forthcoming - Journal of Symbolic Logic.
    Consider a variant of the usual story about the iterative conception of sets. As usual, at every stage, you find all the (bland) sets of objects which you found earlier. But you also find the result of tapping any earlier-found object with any magic wand (from a given stock of magic wands). -/- By varying the number and behaviour of the wands, we can flesh out this idea in many different ways. This paper's main Theorem is that any loosely constructive (...)
    Download  
     
    Export citation  
     
    Bookmark  
  11.  88
    Strategic Set Theory.Morteza Shahram - manuscript
    An attempt to vindicate naive set theory by postulating a universal set V which is describable in two distinct description languages: predicative and extensional. The extensional description of a set consists of describing all its elements whereas its predicative description consists of describing what sets it is an element of. -/- Extensionally described V has an uncapturable description length, akin to its cardinality. But predicatively described, in virtue of being the set that is not contained in any set whatsoever, V (...)
    Download  
     
    Export citation  
     
    Bookmark  
  12. Severity as a Priority Setting Criterion: Setting a Challenging Research Agenda.Mathias Barra, Mari Broqvist, Erik Gustavsson, Martin Henriksson, Niklas Juth, Lars Sandman & Carl Tollef Solberg - 2019 - Health Care Analysis 28 (1):25-44.
    Priority setting in health care is ubiquitous and health authorities are increasingly recognising the need for priority setting guidelines to ensure efficient, fair, and equitable resource allocation. While cost-effectiveness concerns seem to dominate many policies, the tension between utilitarian and deontological concerns is salient to many, and various severity criteria appear to fill this gap. Severity, then, must be subjected to rigorous ethical and philosophical analysis. Here we first give a brief history of the path to today’s severity criteria in (...)
    Download  
     
    Export citation  
     
    Bookmark   14 citations  
  13. Groups, sets, and wholes.Barry Smith - 2003 - Rivista di Estetica 43 (24):126-127.
    As he recalls in his book Naive Physics, Paolo Bozzi’s experiments on naïve or phenomenological physics were partly inspired by Aristotle’s spokesman Simplicio in Galileo’s Dialogue. Aristotle’s ‘naïve’ views of physical reality reflect the ways in which we are disposed perceptually to organize the physical reality we see. In what follows I want to apply this idea to the notion of a group, a term which I shall apply as an umbrella expression embracing ordinary visible collections (of pieces of fruit (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  14. Set Size and the Part–Whole Principle.Matthew W. Parker - 2013 - Review of Symbolic Logic (4):1-24.
    Recent work has defended “Euclidean” theories of set size, in which Cantor’s Principle (two sets have equally many elements if and only if there is a one-to-one correspondence between them) is abandoned in favor of the Part-Whole Principle (if A is a proper subset of B then A is smaller than B). It has also been suggested that Gödel’s argument for the unique correctness of Cantor’s Principle is inadequate. Here we see from simple examples, not that Euclidean theories of set (...)
    Download  
     
    Export citation  
     
    Bookmark   17 citations  
  15. Soft set product extended to hypersoft set and indetermsoft set product extended to indetermhypersoft set.Florentin Smarandache - 2022 - Journal of Fuzzy Extension and Applications 3 (4):313-316.
    In this paper we define the Soft Set Product as a product of many soft sets and afterwards we extend it to the HyperSoft Set. Similarly, the IndetermSoft Product is extended to the IndetermHyperSoft Set. We also present several applications of the Soft Set Product to Fuzzy (and fuzzy-extensions) Soft Set Product and to IndetermSoft Set and IndetermHyperSoft Set.
    Download  
     
    Export citation  
     
    Bookmark  
  16. Priority Setting, Cost-Effectiveness, and the Affordable Care Act.Govind Persad - 2015 - American Journal of Law and Medicine 41 (1):119-166.
    The Affordable Care Act (ACA) may be the most important health law statute in American history, yet much of the most prominent legal scholarship examining it has focused on the merits of the court challenges it has faced rather than delving into the details of its priority-setting provisions. In addition to providing an overview of the ACA’s provisions concerning priority setting and their developing interpretations, this Article attempts to defend three substantive propositions. First, I argue that the ACA is neither (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  17. Rough Neutrosophic Sets.Said Broumi, Florentin Smarandache & Mamoni Dhar - 2014 - Neutrosophic Sets and Systems 3:60-65.
    Both neutrosophic sets theory and rough sets theory are emerging as powerful tool for managing uncertainty, indeterminate, incomplete and imprecise information .In this paper we develop an hybrid structure called “ rough neutrosophic sets” and studied their properties.
    Download  
     
    Export citation  
     
    Bookmark   14 citations  
  18. On Sets and Worlds: A Reply to Menzel.Patrick Grim - 1986 - Analysis 46 (4):186 - 191.
    Download  
     
    Export citation  
     
    Bookmark   26 citations  
  19. Internal Set Theory IST# Based on Hyper Infinitary Logic with Restricted Modus Ponens Rule: Nonconservative Extension of the Model Theoretical NSA.Jaykov Foukzon - 2022 - Journal of Advances in Mathematics and Computer Science 37 (7): 16-43.
    The incompleteness of set theory ZF C leads one to look for natural nonconservative extensions of ZF C in which one can prove statements independent of ZF C which appear to be “true”. One approach has been to add large cardinal axioms.Or, one can investigate second-order expansions like Kelley-Morse class theory, KM or Tarski-Grothendieck set theory T G or It is a nonconservative extension of ZF C and is obtained from other axiomatic set theories by the inclusion of Tarski’s axiom (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  20. Choice set dependent performance and post-decision dissonance.Toru Suzuki - 2019 - Journal of Economic Behavior and Organization 163:24-42.
    A decision maker (DM) selects a project from a set of alternatives with uncertain productivity. After the choice, she observes a signal about productivity and decides how much effort to put in. This paper analyzes the optimal decision problem of the DM who rationally filters information to deal with her post-decision cognitive dissonance. It is shown that the optimal effort level for a project can be affected by unchosen projects in her choice set, and the nature of the choice set-dependence (...)
    Download  
     
    Export citation  
     
    Bookmark  
  21. Priority-setting in international non-governmental organizations: it is not as easy as ABCD.Lisa Fuller - 2012 - Journal of Global Ethics 8 (1):5-17.
    Recently theorists have demonstrated a growing interest in the ethical aspects of resource allocation in international non-governmental humanitarian, development and human rights organizations (INGOs). This article provides an analysis of Thomas Pogge's proposal for how international human rights organizations ought to choose which projects to fund. Pogge's allocation principle states that an INGO should govern its decision making about candidate projects by such rules and procedures as are expected to maximize its long-run cost-effectiveness, defined as the expected aggregate moral value (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  22. There is no set of all truths.Patrick Grim - 1984 - Analysis 44 (4):206-208.
    A Cantorian argument that there is no set of all truths. There is, for the same reason, no possible world as a maximal set of propositions. And omniscience is logically impossible.
    Download  
     
    Export citation  
     
    Bookmark   38 citations  
  23. Ambiguous Set is a subclass of the Double Refined Indeterminacy Neutrosophic Set, and of the Refined Neutrosophic Set in general.Florentin Smarandache - 2023 - Neutrosophic Sets and Systems 58.
    In this short note we show that the so-called Ambiguous Set (2019) is a subclass of the Double Refined Indeterminacy Neutrosophic Set (2017) and is a particular case of the Refined Neutrosophic Set (2013). Also, the Ambiguous Set is similar to the Quadripartitioned Neutrosophic Set (2016), and Belnap’s Four-Valued Logic (1975).
    Download  
     
    Export citation  
     
    Bookmark  
  24. Foundations without Sets.George Bealer - 1981 - American Philosophical Quarterly 18 (4):347 - 353.
    The dominant school of logic, semantics, and the foundation of mathematics construct its theories within the framework of set theory. There are three strategies by means of which a member of this school might attempt to justify his ontology of sets. One strategy is to show that sets are already included in the naturalistic part of our everyday ontology. If they are, then one may assume that whatever justifies the everyday ontology justifies the ontology of sets. Another strategy is to (...)
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  25. Plithogenic Set, an Extension of Crisp, Fuzzy, Intuitionistic Fuzzy, and Neutrosophic Sets – Revisited.Florentin Smarandache - 2018 - Neutrosophic Sets and Systems 21:153-166.
    In this paper, we introduce the plithogenic set (as generalization of crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets), which is a set whose elements are characterized by many attributes (parameters)’ values. An attribute value v has a corresponding (fuzzy, intuitionistic fuzzy, or neutrosophic) degree of appurtenance d(x,v) of the element x, to the set P, with respect to some given criteria. In order to obtain a better accuracy for the plithogenic aggregation operators in the plithogenic set, and for a more (...)
    Download  
     
    Export citation  
     
    Bookmark  
  26. Set Theoretic Analysis of the Whole of Reality.Moorad Alexanian - 2006 - Perspectives on Science and Christian Faith 58 (3):254-255.
    A theistic science would have to represent the integration of all kinds of knowledge intent on explaining the whole of reality. These would include, at least, history, metaphysics, theology, formal logic, mathematics, and experimental sciences. However, what is the whole of reality that one wants to explain? :.
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  27. Set Theory, Topology, and the Possibility of Junky Worlds.Thomas Mormann - 2014 - Notre Dame Journal of Formal Logic 55 (1): 79 - 90.
    A possible world is a junky world if and only if each thing in it is a proper part. The possibility of junky worlds contradicts the principle of general fusion. Bohn (2009) argues for the possibility of junky worlds, Watson (2010) suggests that Bohn‘s arguments are flawed. This paper shows that the arguments of both authors leave much to be desired. First, relying on the classical results of Cantor, Zermelo, Fraenkel, and von Neumann, this paper proves the possibility of junky (...)
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  28. Set Theory and Structures.Neil Barton & Sy-David Friedman - 2019 - In Stefania Centrone, Deborah Kant & Deniz Sarikaya (eds.), Reflections on the Foundations of Mathematics: Univalent Foundations, Set Theory and General Thoughts. Springer Verlag. pp. 223-253.
    Set-theoretic and category-theoretic foundations represent different perspectives on mathematical subject matter. In particular, category-theoretic language focusses on properties that can be determined up to isomorphism within a category, whereas set theory admits of properties determined by the internal structure of the membership relation. Various objections have been raised against this aspect of set theory in the category-theoretic literature. In this article, we advocate a methodological pluralism concerning the two foundational languages, and provide a theory that fruitfully interrelates a `structural' perspective (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  29. Quasi-set theory: a formal approach to a quantum ontology of properties.Federico Holik, Juan Pablo Jorge, Décio Krause & Olimpia Lombardi - 2022 - Synthese 200 (5):1-26.
    In previous works, an ontology of properties for quantum mechanics has been proposed, according to which quantum systems are bundles of properties with no principle of individuality. The aim of the present article is to show that, since quasi-set theory is particularly suited for dealing with aggregates of items that do not belong to the traditional category of individual, it supplies an adequate meta-language to speak of the proposed ontology of properties and its structure.
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  30. Set existence principles and closure conditions: unravelling the standard view of reverse mathematics.Benedict Eastaugh - 2019 - Philosophia Mathematica 27 (2):153-176.
    It is a striking fact from reverse mathematics that almost all theorems of countable and countably representable mathematics are equivalent to just five subsystems of second order arithmetic. The standard view is that the significance of these equivalences lies in the set existence principles that are necessary and sufficient to prove those theorems. In this article I analyse the role of set existence principles in reverse mathematics, and argue that they are best understood as closure conditions on the powerset of (...)
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  31. Extension of Soft Set to Hypersoft Set, and then to Plithogenic Hypersoft Set.Florentin Smarandache - 2018 - Neutrosophic Sets and Systems 22 (1):168-170.
    In this paper, we generalize the soft set to the hypersoft set by transforming the function F into a multi-attribute function. Then we introduce the hybrids of Crisp, Fuzzy, Intuitionistic Fuzzy, Neutrosophic, and Plithogenic Hypersoft Set.
    Download  
     
    Export citation  
     
    Bookmark   8 citations  
  32. Answer Set Programming on Expert Feedback to Populate and Extend.Colin Allen - 2008 - In David Wilson & H. Chad Lane (eds.), Proceedings of the Twenty-First International Florida Artificial Intelligence Research Society Conference. AAAI Press. pp. 500-505.
    dynamic ontologies must be inferred and populated in part from the reference corpora themselves, but ontological rela-.
    Download  
     
    Export citation  
     
    Bookmark  
  33. Expressing set-size equality.John Corcoran & Gerald Rising - 2015 - Bulletin of Symbolic Logic 21 (2):239.
    The word ‘equality’ often requires disambiguation, which is provided by context or by an explicit modifier. For each sort of magnitude, there is at least one sense of ‘equals’ with its correlated senses of ‘is greater than’ and ‘is less than’. Given any two magnitudes of the same sort—two line segments, two plane figures, two solids, two time intervals, two temperature intervals, two amounts of money in a single currency, and the like—the one equals the other or the one is (...)
    Download  
     
    Export citation  
     
    Bookmark  
  34. Neutrosophic Set and Neutrosophic Topological Spaces.A. A. Salama & S. A. Alblowi - 2012 - IOSR Journal of Mathematics (IOSR-JM) 3 (4):31-35.
    Neutrosophy has been introduced by Smarandache [7, 8] as a new branch of philosophy. The purpose of this paper is to construct a new set theory called the neutrosophic set. After given the fundamental definitions of neutrosophic set operations, we obtain several properties, and discussed the relationship between neutrosophic sets and others. Finally, we extend the concepts of fuzzy topological space [4], and intuitionistic fuzzy topological space [5, 6] to the case of neutrosophic sets. Possible application to superstrings and space–time (...)
    Download  
     
    Export citation  
     
    Bookmark   7 citations  
  35. Aggregating sets of judgments: Two impossibility results compared.Christian List & Philip Pettit - 2004 - Synthese 140 (1-2):207 - 235.
    The ``doctrinal paradox'' or ``discursive dilemma'' shows that propositionwise majority voting over the judgments held by multiple individuals on some interconnected propositions can lead to inconsistent collective judgments on these propositions. List and Pettit (2002) have proved that this paradox illustrates a more general impossibility theorem showing that there exists no aggregation procedure that generally produces consistent collective judgments and satisfies certain minimal conditions. Although the paradox and the theorem concern the aggregation of judgments rather than preferences, they invite comparison (...)
    Download  
     
    Export citation  
     
    Bookmark   95 citations  
  36. Setting Sail: The Development and Reception of Quine’s Naturalism.Sander Verhaegh - 2018 - Philosophers' Imprint 18:1-24.
    Contemporary analytic philosophy is dominated by metaphilosophical naturalism, the view that philosophy ought to be continuous with science. This naturalistic turn is for a significant part due to the work of W. V. Quine. Yet, the development and the reception of Quine’s naturalism have never been systematically studied. In this paper, I examine Quine’s evolving naturalism as well as the reception of his views. Scrutinizing a large set of unpublished notes, correspondence, drafts, papers, and lectures as well as published responses (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  37. Cognitive Set Theory.Alec Rogers (ed.) - 2011 - ArborRhythms.
    Cognitive Set Theory is a mathematical model of cognition which equates sets with concepts, and uses mereological elements. It has a holistic emphasis, as opposed to a reductionistic emphasis, and it therefore begins with a single universe (as opposed to an infinite collection of infinitesimal points).
    Download  
     
    Export citation  
     
    Bookmark  
  38. Why are all the sets all the sets?Tim Button - manuscript
    Necessitists about set theory think that the pure sets exists, and are the way they are, as a matter of necessity. They cannot explain why the sets (de rebus) are all the sets. This constitutes the Ur-Objection against necessitism; it is the primary motivation cited by potentialists about set theory. -/- At least three families of potentialism draw motivation from the Ur-Objection. Contingentists think that any things could form a set even if they actually did not. Prioritists think that sets (...)
    Download  
     
    Export citation  
     
    Bookmark  
  39. Sets, Logic, Computation: An Open Introduction to Metalogic.Richard Zach - 2019 - Open Logic Project.
    An introductory textbook on metalogic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. The audience is undergraduate students with some background in formal logic.
    Download  
     
    Export citation  
     
    Bookmark  
  40. Multiversism and Concepts of Set: How Much Relativism Is Acceptable?Neil Barton - 2016 - In Francesca Boccuni & Andrea Sereni (eds.), Objectivity, Realism, and Proof. FilMat Studies in the Philosophy of Mathematics. Cham, Switzerland: Springer International Publishing. pp. 189-209.
    Multiverse Views in set theory advocate the claim that there are many universes of sets, no-one of which is canonical, and have risen to prominence over the last few years. One motivating factor is that such positions are often argued to account very elegantly for technical practice. While there is much discussion of the technical aspects of these views, in this paper I analyse a radical form of Multiversism on largely philosophical grounds. Of particular importance will be an account of (...)
    Download  
     
    Export citation  
     
    Bookmark   7 citations  
  41. Setting priorities fairly in response to Covid-19: identifying overlapping consensus and reasonable disagreement.David Wasserman, Govind Persad & Joseph Millum - 2020 - Journal of Law and the Biosciences 1 (1):doi:10.1093/jlb/lsaa044.
    Proposals for allocating scarce lifesaving resources in the face of the Covid-19 pandemic have aligned in some ways and conflicted in others. This paper attempts a kind of priority setting in addressing these conflicts. In the first part, we identify points on which we do not believe that reasonable people should differ—even if they do. These are (i) the inadequacy of traditional clinical ethics to address priority-setting in a pandemic; (ii) the relevance of saving lives; (iii) the flaws of first-come, (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  42. Neutrosophic Crisp Set Theory.A. Salama & Florentin Smarandache - 2014 - Neutrosophic Sets and Systems 5:27-35.
    The purpose of this paper is to introduce new types of neutrosophic crisp sets with three types 1, 2, 3. After given the fundamental definitions and operations, we obtain several properties, and discussed the relationship between neutrosophic crisp sets and others. Also, we introduce and study the neutrosophic crisp point and neutrosophic crisp relations. Possible applications to database are touched upon.
    Download  
     
    Export citation  
     
    Bookmark   5 citations  
  43. Set-theoretic justification and the theoretical virtues.John Heron - 2020 - Synthese 199 (1-2):1245-1267.
    Recent discussions of how axioms are extrinsically justified have appealed to abductive considerations: on such accounts, axioms are adopted on the basis that they constitute the best explanation of some mathematical data, or phenomena. In the first part of this paper, I set out a potential problem caused by the appeal made to the notion of mathematical explanation and suggest that it can be remedied once it is noted that all the justificatory work is done by appeal to the theoretical (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  44. Introduction to the IndetermSoft Set and IndetermHyperSoft Set.Florentin Smarandache - 2022 - Neutrosophic Sets and Systems 51 (1):629-650.
    In this paper one introduces for the first time the IndetermSoft Set, as extension of the classical (determinate) Soft Set, that deals with indeterminate data, and similarly the HyperSoft Set extended to IndetermHyperSoft Set, where ‘Indeterm’ stands for ‘Indeterminate’ (uncertain, conflicting, not unique outcome). They are built on an IndetermSoft Algebra that is an algebra dealing with IndetermSoft Operators resulted from our real world. Afterwards, the corresponding Fuzzy / Intuitionistic Fuzzy / Neutrosophic / and other fuzzy-extension IndetermSoft Set & IndetermHyperSoft (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  45. Interval Neutrosophic Rough Sets.Said Broumi & Florentin Smarandache - 2015 - Neutrosophic Sets and Systems 7:23-31.
    This Paper combines interval- valued neutrouphic sets and rough sets. It studies roughness in interval- valued neutrosophic sets and some of its properties. Finally we propose a Hamming distance between lower and upper approximations of interval valued neutrosophic sets.
    Download  
     
    Export citation  
     
    Bookmark   7 citations  
  46. Single Valued Neutrosophic HyperSoft Set based on VIKOR Method for 5G Architecture Selection.Florentin Smarandache, M. Ali Ahmed & Ahmed Abdelhafeez - 2024 - International Journal of Neutrosophic Science 23 (2):42-52.
    This work introduces the framework for selecting architecture in 5G networks, considering various technological, performance, economic, and operational factors. With the emergence of 5G technology, the architecture selection process has become pivotal in meeting diverse requirements for ultra-high-speed connectivity, low latency, scalability, and diverse service demands. The evaluation comprehensively analyses different architecture options, including centralized, distributed, cloud-based, and virtualized architectures. Factors such as network performance, scalability, cost-effectiveness, security, and compatibility are considered within a multi-criteria decision-making framework. Findings reveal each architecture (...)
    Download  
     
    Export citation  
     
    Bookmark  
  47. Quantum Set Theory Extending the Standard Probabilistic Interpretation of Quantum Theory.Masanao Ozawa - 2016 - New Generation Computing 34 (1):125-152.
    The notion of equality between two observables will play many important roles in foundations of quantum theory. However, the standard probabilistic interpretation based on the conventional Born formula does not give the probability of equality between two arbitrary observables, since the Born formula gives the probability distribution only for a commuting family of observables. In this paper, quantum set theory developed by Takeuti and the present author is used to systematically extend the standard probabilistic interpretation of quantum theory to define (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  48. Perfect set properties in models of ZF.Franklin Galindo & Carlos Di Prisco - 2010 - Fundamenta Mathematicae 208 (208):249-262.
    We study several perfect set properties of the Baire space which follow from the Ramsey property ω→(ω) ω . In particular we present some independence results which complete the picture of how these perfect set properties relate to each other.
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  49. Set Theory and Structures.Sy-David Friedman & Neil Barton - 2019 - In Stefania Centrone, Deborah Kant & Deniz Sarikaya (eds.), Reflections on the Foundations of Mathematics: Univalent Foundations, Set Theory and General Thoughts. Springer Verlag. pp. 223-253.
    Set-theoretic and category-theoretic foundations represent different perspectives on mathematical subject matter. In particular, category-theoretic language focusses on properties that can be determined up to isomorphism within a category, whereas set theory admits of properties determined by the internal structure of the membership relation. Various objections have been raised against this aspect of set theory in the category-theoretic literature. In this article, we advocate a methodological pluralism concerning the two foundational languages, and provide a theory that fruitfully interrelates a ‘structural’ perspective (...)
    Download  
     
    Export citation  
     
    Bookmark  
  50. Interval neutrosophic sets applied to ideals in BCK/BCI-algebras.Seok-Zun Song, Madad Khan, Florentin Smarandache & Young Bae Jun - 2017 - Neutrosophic Sets and Systems 18:16-26.
    In this article, we apply the notion of interval neutrosophic sets to ideal theory in BCK/BCI-algebras.
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
1 — 50 / 971