Results for 'A. A. Troelstra'

971 found
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  1. Verified completeness in Henkin-style for intuitionistic propositional logic.Huayu Guo, Dongheng Chen & Bruno Bentzen - 2023 - In Bruno Bentzen, Beishui Liao, Davide Liga, Reka Markovich, Bin Wei, Minghui Xiong & Tianwen Xu (eds.), Logics for AI and Law: Joint Proceedings of the Third International Workshop on Logics for New-Generation Artificial Intelligence and the International Workshop on Logic, AI and Law, September 8-9 and 11-12, 2023, Hangzhou. College Publications. pp. 36-48.
    This paper presents a formalization of the classical proof of completeness in Henkin-style developed by Troelstra and van Dalen for intuitionistic logic with respect to Kripke models. The completeness proof incorporates their insights in a fresh and elegant manner that is better suited for mechanization. We discuss details of our implementation in the Lean theorem prover with emphasis on the prime extension lemma and construction of the canonical model. Our implementation is restricted to a system of intuitionistic propositional logic (...)
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  2. a.A. A. (ed.) - 2015 - Universidad Técnica Particular de Loja.
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  3. Neutrosophic Crisp Set Theory.A. A. Salama & Florentin Smarandache - 2015 - Columbus, OH, USA: Educational Publishers.
    Since the world is full of indeterminacy, the Neutrosophics found their place into contemporary research. We now introduce for the first time the notions of Neutrosophic Crisp Sets and Neutrosophic Topology on Crisp Sets. We develop the 2012 notion of Neutrosophic Topological Spaces and give many practical examples. Neutrosophic Science means development and applications of Neutrosophic Logic, Set, Measure, Integral, Probability etc., and their applications in any field. It is possible to define the neutrosophic measure and consequently the neutrosophic integral (...)
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  4. Neutrosophic quadruple algebraic hyperstructures.A. A. A. Agboola, B. Davvaz & Florentin Smarandache - 2017 - Annals of Fuzzy Mathematics and Informatics 14.
    The objective of this paper is to develop neutrosophic quadruple algebraic hyperstructures. Specifically, we develop neutrosophic quadruple semihypergroups, neutrosophic quadruple canonical hypergroups and neutrosophic quadruple hyperrings and we present elementary properties which characterize them.
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  5. From Epicurus to Epictetus: studies in Hellenistic and Roman philosophy.A. A. Long - 2006 - New York: Oxford University Press.
    A. A. Long, one of the world's leading writers on ancient philosophy, presents eighteen essays on the philosophers and schools of the Hellenistic and Roman periods--Epicureans, Stoics, and Sceptics. The discussion ranges over four centuries of innovative and challenging thought in ethics and politics, psychology, epistemology, and cosmology.
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  6. Introduction to image processing via neutrosophic techniques.A. A. Salama & Florentin Smarandache - 2014 - Neutrosophic Sets and Systems 5:59-63.
    This paper is an attempt of proposing the processing approach of neutrosophic technique in image processing.
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  7. Thomas A — A Dialogue About the Survival of Moses.Johan Gamper - manuscript
    In this dialogue Thomas A and Jeito intuitively discuss the difference between a miracle and a fact. They conclude that the doings of God aren’t miracles.
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  8. Neutrosophic Closed Set and Neutrosophic Continuous Functions.A. A. Salama, Florentin Smarandache & Valeri Kroumov - 2014 - Neutrosophic Sets and Systems 4:4-8.
    In this paper, we introduce and study the concept of" neutrosophic closed set" and" neutrosophic continuous function". Possible application to GIS topology rules are touched upon.
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  9. COVID-19: Psychological impact of quarantine in children due to pandemic: A case study in Doda of Jammu and Kashmir.A. A. Wani - 2021 - International Journal of Applied Research 7 (3):443-445.
    The emergence of coronavirus disease (COVID-19) from Wuhan city of China engulfed almost the entire world and created a global pandemic. Several countries declared this pandemic as national emergency, forcing millions of people to go into lockdown. This sudden social isolation has caused enormous disruption of daily routine for the global community, especially children. To minimize the transmission of this virus all the educational institutions were closed and moved to online learning to encourage and adhere to social distancing guidelines issued (...)
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  10. Indigenous knowledge and species assessment for the Alexander Archipelago wolf: successes, challenges, and lessons learned.Jeffrey J. Brooks, I. Markegard, Sarah, J. Langdon, Stephen, Delvin Anderstrom, Michael Douville, A. George, Thomas, Michael Jackson, Scott Jackson, Thomas Mills, Judith Ramos, Jon Rowan, Tony Sanderson & Chuck Smythe - 2024 - Journal of Wildlife Management 88 (6):e22563.
    The United States Fish and Wildlife Service in Alaska, USA, conducted a species status assessment for a petition to list the Alexander Archipelago wolf (Canis lupus ligoni) under the Endangered Species Act in 2020-2022. This federal undertaking could not be adequately prepared without including the knowledge of Indigenous People who have a deep cultural connection with the subspecies. Our objective is to communicate the authoritative expertise and voice of the Indigenous People who partnered on the project by demonstrating how their (...)
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  11. Neutrosophic Knowledge. Journal of Modern Science and Arts, vol. 1, 2020.A. A. Salama, Florentin Smarandache & Ibraheem Yasser (eds.) - 2020 - Gallup, NM, USA: University of New Mexico.
    “Neutrosophics Knowledge” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. The submitted papers should be professional, in good English and Arabic, containing a brief review of a problem and obtained results. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as (...)
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  12. Training For the Performance of the Medical Staff and Its Role in Developing the Quality of Health Care in Palestine.Israa Abu Sahmmla, Mazen J. Al Shobaki, Suliman A. El Talla & Muhammad K. Hamdan - 2023 - International Journal of Academic Management Science Research (IJAMSR) 7 (2):1-12.
    The study aimed to identify training for the performance of the medical staff and its role in developing the quality of health care in Al-Shifa Medical Complex in the southern Palestinian governorates. , and technicians) of 2150 employees, a stratified random sample of 330 employees was selected, the questionnaire was distributed to them, and 302 questionnaires were retrieved, with a rate of 91.5%. One of the most important results of the study was the existence of a statistically significant effect of (...)
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  13. The Birth of a Research Animal: Ibsen's The Wild Duck and the Origin of a New Animal Science.H. A. E. Zwart - 2000 - Environmental Values 9 (1):91-108.
    What role does the wild duck play in Ibsen's famous drama? I argue that, besides mirroring the fate of the human cast members, the duck is acting as animal subject in a quasi-experiment, conducted in a private setting. Analysed from this perspective, the play allows us to discern the epistemological and ethical dimensions of the new scientific animal practice (systematic observation of animal behaviour under artificial conditions) emerging precesely at that time. Ibsen's play stages the clash between a scientific and (...)
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  14. Boyle, Spinoza and Glauber: On the Philosophical Redintegration of Saltpeter A Reply to Antonio Clericuzio.Filip A. A. Buyse - manuscript
    Traditionally, the so-called ‘redintegration experiment’ is at the center of the comments on the supposed Boyle/Spinoza correspondence. A. Clericuzio argued (refuting the interpretation by R.A. & M.B. Hall) in his influential publications that, in De nitro, Boyle accounted for the ‘redintegration’ of saltpeter on the grounds of the chemical properties of corpuscles and did not make any attempt to deduce them from the mechanical principles. By contrast, this paper claims that with his De nitro Boyle wanted to illustrate and promote (...)
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  15. Clinical Decisions Using AI Must Consider Patient Values.Jonathan Birch, Kathleen A. Creel, Abhinav K. Jha & Anya Plutynski - 2022 - Nature Medicine 28:229–232.
    Built-in decision thresholds for AI diagnostics are ethically problematic, as patients may differ in their attitudes about the risk of false-positive and false-negative results, which will require that clinicians assess patient values.
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  16. Insights about Electronic Technology in Digital Transformation Age & Neutrosophic Data Structure.A. A. Salama, A. Abd ELhamid, Shimaa I. Hassan & N. M. A. Ayad - 2021 - Neutrosophic Knowledge 2 (2):11-22.
    In recent decades, Information and Communication Technology (ICT) has been advanced and widely spread around the globe in addition to ICT revolution and technological advances are considered the major role in the evolution of modern age, which is called "Digital Transformation Age". Therefore, Electronic Technology (E-Technology) has become one of the most prominent approaches such as Electronic Learning (E-Learning), Electronic Training (E-Training), Mobile Learning (M-Learning), Virtual Lab (V-Lab), Virtual University, etc. E-Technology includes some features, for instance anyone, anywhere, anytime and (...)
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  17. دراسة فى المجموعات النيتروسوفيكية الكلاسيكية.عدنان الطيبانى, حكمى عدنان, إيمان الخوجة & A. A. Salama - 2021 - مجلة جامعة البعث 43 (2):55-83.
    A Neutrosophic crisp set is a new type of crisp set, and the concept of Neutrosophic crisp set appeared for the first time in 2013, where I. Hanfya and A. Salama studied the Neutrosophic crisp set in a special case in order to study Neutrosophic crisp events and their possibilities [3]. In the context of studying this type of sets, A. Salama and S. Broumi distinguished three types of Neutrosophic crisp set in its special case, in addition to defining the (...)
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  18. Responsible Research and Innovation in Industry – challenges, insights and perspectives.Vincent Blok, A. Martinuzzi, A. Brem, B. Stahl & N. Shonherr - 2018 - Sustainability 10 (10).
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  19. Structural and Magnetic Properties of Laxsr1-Xmno3.A. A. Gomaa & A. A. Mohamed - 2018 - International Journal of Engineering and Information Systems (IJEAIS) 2 (12):1-4.
    Abstract: Samples of LaxSr1-xMnO3 (x = 0.5, 0.55, 0.6, 0.66, and 0.7) were prepared by the citrate-nitrate autocombustion method. The prepared nano-particles were investigated and characterized using X-Ray diffraction (XRD) and Transmission Electron Microscopy (TEM) to confirm the formation of the samples in single phase without any impurities and to calculate the particle size. The magnetic susceptibility χM was measured as a function of temperature and magnetic field intensity. From χM(T) and M(H) the saturation magnetization (Ms), remanent magnetization (Mr) and (...)
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  20. Studying Neutrosophic Variables.A. A. Salama & Rafif Alhabib (eds.) - 2020 - Los Angeles, CA, USA: Nova Science Publishers.
    We present in this paper the neutrosophic randomized variables, which are a generalization of the classical random variables obtained from the application of the neutrosophic logic (a new nonclassical logic which was founded by the American philosopher and mathematical Florentin Smarandache, which he introduced as a generalization of fuzzy logic especially the intuitionistic fuzzy logic ) on classical random variables. The neutrosophic random variable is changed because of the randomization, the indeterminacy and the values it takes, which represent the possible (...)
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  21. On Neutrosophic Quadruple Algebraic Structures.S. A. Akinleye, F. Smarandache & A. A. A. Agboola - 2016 - Neutrosophic Sets and Systems 12:122-126.
    In this paper we present the concept of neutrosophic quadruple algebraic structures. Specially, we study neutrosophic quadruple rings and we present their elementary properties.
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  22. The Role of AI in Enhancing Business Decision-Making: Innovations and Implications.Faten Y. A. Abu Samara, Aya Helmi Abu Taha, Nawal Maher Massa, Tanseen N. Abu Jamie, Fadi E. S. Harara, Bassem S. Abu-Nasser & Samy S. Abu-Naser - 2024 - International Journal of Academic Pedagogical Research (IJAPR) 8 (9):8-15.
    Abstract: Artificial Intelligence (AI) has rapidly advanced, offering significant potential to transform business decision-making. This paper delves into how AI can be harnessed to enhance strategic decision-making within business contexts. It investigates the integration of AI-driven analytics, predictive modeling, and automation, emphasizing their role in improving decision accuracy and operational efficiency. By examining current applications and case studies, the paper underscores the opportunities AI offers, including improved data insights, risk management, and personalized customer experiences. It also addresses the challenges businesses (...)
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  23. Why the (gene) counting argument fails in the massive modularity debate: The need for understanding gene concepts and genotype-phenotype relationships.Kathryn S. Plaisance, Thomas A. C. Reydon & Mehmet Elgin - 2012 - Philosophical Psychology 25 (6):873-892.
    A number of debates in philosophy of biology and psychology, as well as in their respective sciences, hinge on particular views about the relationship between genotypes and phenotypes. One such view is that the genotype-phenotype relationship is relatively straightforward, in the sense that a genome contains the ?genes for? the various traits that an organism exhibits. This leads to the assumption that if a particular set of traits is posited to be present in an organism, there must be a corresponding (...)
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  24. Levelling the Analysis of Knowledge via Methodological Scepticism.William A. Brant - 2013 - Logos and Episteme 4 (3):293-304.
    ABSTRACT: In this essay I provide one methodology that yields the level of analysis of an alleged knowledge-claim under investigation via its relations to varying gradations of scepticism. Each proposed knowledge-claim possesses a specified relationship with: (i) a globally sceptical argument; (ii) the least sceptical but successful argument that casts it into doubt; and (iii) the most sceptical yet unsuccessful argument, which is conceivably hypothesized to repudiate it but fails to do so. Yielding this specified set of relations, by means (...)
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  25. The static model of inventory management without a deficit with Neutrosophic logic.Maissam Jdid, Rafif Alhabib & A. A. Salama - 2021 - International Journal of Neutrosophic Science 16 (1):42-48.
    In this paper, we present an expansion of one of the well-known classical inventory management models, which is the static model of inventory management without a deficit and for a single substance, based on the neutrosophic logic, where we provide through this study a basis for dealing with all data, whether specific or undefined in the field of inventory management, as it provides safe environment to manage inventory without running into deficit , and give us an approximate ideal volume of (...)
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  26. Epicureanism.Thomas A. Blackson - 2016 - In Tom Angier, Chad Meister & Charles Taliaferro (eds.), The History of Evil in Antiquity: 2000 Bce to 450 Ce. Routledge.
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  27. The Basics of Neutrosophic Simulation for Converting Random Numbers Associated with a Uniform Probability Distribution into Random Variables Follow an Exponential Distribution.Maissam Jdid, Rafif Alhabib & A. A. Salama - 2023 - Neutrosophic Sets and Systems 53:358-366.
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  28. Plato (ca. 427 - ca. 347 BC E ): Apology of Socrates.Thomas A. Blackson - forthcoming - In AUTOBIOGRAPHY/AUTOFICTION. An International and Interdisciplinary Handbook. Volume III: Exemplary autobiographical/autofictional texts. Edited by Martina Wagner-Egelhaaf. De Gruyter, Berlin.
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  29. Academic Justifications of Assent.Thomas A. Blackson - 2019 - In Stephen Cade Hetherington & Nicholas D. Smith (eds.), What the Ancients Offer to Contemporary Epistemology. New York: Routledge.
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  30. Daughter/Wife/Mother or Sage/Immortal/Bodhisattva? Women in the Teaching of Chinese Religions.Joseph A. Adler - 2006 - ASIANetwork Exchange 14 (2):11-16.
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  31. Arithmetical algorithms for elementary patterns.Samuel A. Alexander - 2015 - Archive for Mathematical Logic 54 (1-2):113-132.
    Elementary patterns of resemblance notate ordinals up to the ordinal of Pi^1_1-CA_0. We provide ordinal multiplication and exponentiation algorithms using these notations.
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  32. Mechanism and the Good.José A. Benardete - 1976 - Philosophical Forum 7 (3):294.
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  33. Besprechungsaufsatz zu Khaled El-Rouayheb/Sabine Schmidtke (Hgg.), The Oxford Handbook of Islamic Philosophy.Claus A. Andersen - 2018 - Philosophisches Jahrbuch 125 (1):90-97.
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  34. Metaphysics for Lovers.José A. Benardete - 1986 - Graduate Faculty Philosophy Journal 11 (2):37-48.
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  35. Two Interpretations of Socratic Intellectualism.Thomas A. Blackson - 2015 - Ancient Philosophy 35 (1):23-39.
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  36.  55
    Before and After Philosophy takes Possession of the Soul.Thomas A. Blackson - 2020 - Journal of Ancient Philosophy 14 (2):53-75.
    In the Phaedo, to explain why the philosopher lives in the unusually ascetic way he does, Socrates explains what someone realizes when philosophy takes possession of his soul and how he changes his behavior on the basis of this information. This paper considers the conception of belief the character uses in this explanation and whether it is the same as the conception Michael Frede thinks the historical Socrates is likely to have held and that the Stoics much later incorporated into (...)
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  37. Intelligent Neurtosophic Diagnostic System for Cardiotcography data.Belal Amin, A. A. Salama, Mona G. Gafar & Khaled Mahfouz, - 2021 - Computational Intelligence and Neuroscience 2021:15-21.
    Cardiotocography data uncertainty is a critical task for the classification in biomedical field. Constructing good and efficient classifier via machine learning algorithms is necessary to help doctors in diagnosing the state of fetus heart rate. *e proposed neutrosophic diagnostic system is an Interval Neutrosophic Rough Neural Network framework based on the backpropagation algorithm. It benefits from the advantages of neutrosophic set theory not only to improve the performance of rough neural networks but also to achieve a better performance than the (...)
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  38. On Bitcoin: A Study in Applied Metaphysics.Martin A. Lipman - 2023 - Philosophical Quarterly 73 (3):783-802.
    This essay is dedicated to the memory of Katherine Hawley.1Bitcoin was invented to serve as a digital currency that demands no trust in financial institutions, such as commercial and central banks. This paper discusses metaphysical aspects of bitcoin, in particular the view that bitcoin is socially constructed, non-concrete, and genuinely exists. If bitcoin is socially constructed, then one may worry that this reintroduces trust in the communities responsible for the social construction. Although we may have to rely on certain communities, (...)
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  39. Problems and prospects of Ukraine’s energy supply in the aspects of international trade.Nataliya Krasnikova & A. A. Redchenkov - 2017 - Visnyk of Dniprop’Etrovsk University. Ser. World Economy and International Economic Relations 9 (25):70-79.
    The article studies the energy efficiency of the economy and determines the need to reform the energy sector of Ukraine and conditions of its adaptation to EU requirements. Annual energy consumption in the world is about 14 billion tons of fuel. This is mainly organic origin resources – coal, oil, natural gas – 82 %, nuclear power – 7 %, hydroelectric energy – 3%, wood – 7 % renewable energy and – 1 %. The economic development of any country in (...)
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  40.  23
    EXIGÊNCIAS DE ENERGIA METABOLIZÁVEL PARA CODORNAS EUROPEIAS (Coturnix coturnix coturnix) DE 1 A 35 DIAS.A. De O. Soares - 2024 - Dissertation, Universidade Federal da Paraíba
    Metabolizable energy levels affect the productive performance and carcass quality of meat quails, as well as impacting diet costs. The aim was to determine the metabolizable energy (ME) requirement for European quails (Coturnix coturnix coturnix) from 1 to 14 days of age and from 15 to 35 days of age, aiming to evaluate performance and influence on carcass composition. Five treatments with 6 replicates, 12 animals per replicate, totaling 360 animals in the experiment, were used, with energy levels in the (...)
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  41. Confronting the Nihilism of Our Day with Thomas Nagel’s Ethical Objectivity.Kristoffer A. Bolaños - 2017 - Mabini Review 6:7-19.
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  42. The Effect of Irrigation Frequency and Farm Yard Manure on Salt Leaching Under Saline – Sodic Soil.Awadia . A. Ahamed, S. I. M. Izzeldin & Ammar M. S. Abdalla - 2019 - International Journal of Academic Multidisciplinary Research (IJAMR) 3 (5):36-44.
    Abstract: Northern state, Sudan is extremely affected by desertification and Salinization processes, there for this study aimed to investigate an effective method to improve the salt affected soil. Two field experiments were carried out in two successive seasons ( July 2005 – June 2006 ) at Dongola University farm, in the North State to investigate the effect of irrigation frequency ( 7 and 14 days ) and farm yard manure (M0 , M1 , M2 , andM3 ) on salt leaching (...)
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  43. ITS for teaching DES information security Algorithm.Abed Elhaleem A. Alnajar & Monnes Hanjory - 2017 - International Journal of Advanced Research and Development 2 (1):69-73.
    Lately there is more attention paid to technological development in intelligent tutoring systems. This field is becoming an interesting topic to many researchers. In this paper, we are presenting an intelligent tutoring system for teaching DES Information Security Algorithm called DES-Tutor. The DES-Tutor target the students enrolled in cryptography course in the department Information Technology in Al-Azhar University in Gaza. Through DES-Tutor the student will be able to study course material and try the exercises of each lesson. An evaluation of (...)
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  44. De Nederlandse economie in internationaal perspectief: 1960-1973-1982.Jan Arreman, A. S. W. de Vries & H. L. van der Kolk - 1985 - Economisch Statistische Berichten 70 (3519):816-821.
    Wat betreft economische groei en ontwikkeling van de werkloosheid heeft de Nederlandse economie het sinds 1973 slechter gedaan dan andere OECD-landen. Op de vraag naar de oorzaken van die slechte prestatie zijn in het verleden uiteenlopende antwoorden gegeven door o.m. Bomhoff en Clavaux. Ook zijn er diverse wegen aangegeven om op te rukken naar een betere positie. In dit artikel presenteren de auteurs de resultaten van een internationale doorsnee-analyse om de verschillen in economisch succes tussen landen met behulp van een (...)
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  45. Model robustness as a confirmatory virtue: The case of climate science.Elisabeth A. Lloyd - 2015 - Studies in History and Philosophy of Science Part A 49:58-68.
    I propose a distinct type of robustness, which I suggest can support a confirmatory role in scientific reasoning, contrary to the usual philosophical claims. In model robustness, repeated production of the empirically successful model prediction or retrodiction against a background of independentlysupported and varying model constructions, within a group of models containing a shared causal factor, may suggest how confident we can be in the causal factor and predictions/retrodictions, especially once supported by a variety of evidence framework. I present climate (...)
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  46. Grace A. de Laguna’s Theory of Universals: A Powers Ontology of Properties and Modality.A. R. J. Fisher - 2022 - Australasian Philosophical Review 6 (1):39-48.
    In this paper I examine Grace A. de Laguna’s theory of universals in its historical context and in relation to contemporary debates in analytic metaphysics. I explain the central features of her theory, arguing that her theory should be classified as a form of immanent realism and as a powers ontology. I then show in what ways her theory affords a theory of modality in terms of potentialities and discuss some of its consequences along the way.
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  47.  81
    Glycosylated hemoglobin in type 2 diabetic patients as a biomarker for predicting dyslipidemia.Elmabruk A. Gamag - 2024 - Mediterranean Journal of Pharmacy and Pharmaceutical Sciences 4 (4):1-5.
    Type 2 diabetes mellites (T2DM) is a common complex disease with multiple factors contributing to its development and progression. Dyslipidemia refers to the abnormality of lipid metabolism, characterized by elevated levels of low-density lipoprotein (LDL), total cholesterol (TC), triglycerides (TG), and decreased levels of high-density lipoprotein (HDL). It is a major risk factor for cardiovascular disease in type 2 diabetic patients. This study aimed to evaluate the diagnostic value of glycosylated hemoglobin (HbA1c) and fasting blood glucose (FBG) in predicting the (...)
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  48. Standpoints: A Study of a Metaphysical Picture.Martin A. Lipman - 2023 - Journal of Philosophy 120 (3):117-138.
    There is a type of metaphysical picture that surfaces in a range of philosophical discussions, is of intrinsic interest, and yet remains ill-understood. According to this picture, the world contains a range of standpoints relative to which different facts obtain. Any true representation of the world cannot but adopt a particular standpoint. The aim of this paper is to propose a regimentation of a metaphysics that underwrites this picture. Key components are a factive notion of metaphysical relativity, a deflationary notion (...)
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  49. A Short Solution to the Hard Problem.A. T. Bollands - manuscript
    This very short paper provides a panpsychic solution to the Hard Problem of Consciousness. It was presented to the Philosophical Society of the Oxford University Department of Continuing Education (OUDCE) on 18th August 2019, and posted on Twitter (@ATBollands) on the 20th August, 2019. It solves the Hard Problem by 1) making the case for Panpsychism, and 2) solving the Combination Problem (Panpsychism's equivalent of the Hard Problem). -/- The paper aims to be clear, concise, to-the-point and accessible to the (...)
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  50. The Physical Numbers: A New Foundational Logic-Numerical Structure For Mathematics And Physics.Gomez-Ramirez Danny A. J. - manuscript
    The boundless nature of the natural numbers imposes paradoxically a high formal bound to the use of standard artificial computer programs for solving conceptually challenged problems in number theory. In the context of the new cognitive foundations for mathematics' and physics' program immersed in the setting of artificial mathematical intelligence, we proposed a refined numerical system, called the physical numbers, preserving most of the essential intuitions of the natural numbers. Even more, this new numerical structure additionally possesses the property of (...)
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