Results for 'known elements of a set X⊆N whose infiniteness is false or unproven'

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  1. Statements and open problems on decidable sets X⊆N that contain informal notions and refer to the current knowledge on X.Apoloniusz Tyszka - 2022 - Journal of Applied Computer Science and Mathematics 16 (2):31-35.
    Let f(1)=2, f(2)=4, and let f(n+1)=f(n)! for every integer n≥2. Edmund Landau's conjecture states that the set P(n^2+1) of primes of the form n^2+1 is infinite. Landau's conjecture implies the following unproven statement Φ: card(P(n^2+1))<ω ⇒ P(n^2+1)⊆[2,f(7)]. Let B denote the system of equations: {x_j!=x_k: i,k∈{1,...,9}}∪{x_i⋅x_j=x_k: i,j,k∈{1,...,9}}. The system of equations {x_1!=x_1, x_1 \cdot x_1=x_2, x_2!=x_3, x_3!=x_4, x_4!=x_5, x_5!=x_6, x_6!=x_7, x_7!=x_8, x_8!=x_9} has exactly two solutions in positive integers x_1,...,x_9, namely (1,...,1) and (f(1),...,f(9)). No known system S⊆B with (...)
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  2. On the weak Kleene scheme in Kripke's theory of truth.James Cain & Zlatan Damnjanovic - 1991 - Journal of Symbolic Logic 56 (4):1452-1468.
    It is well known that the following features hold of AR + T under the strong Kleene scheme, regardless of the way the language is Gödel numbered: 1. There exist sentences that are neither paradoxical nor grounded. 2. There are 2ℵ0 fixed points. 3. In the minimal fixed point the weakly definable sets (i.e., sets definable as {n∣ A(n) is true in the minimal fixed point where A(x) is a formula of AR + T) are precisely the Π1 1 (...)
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  3. Plato’s Metaphysical Development before Middle Period Dialogues.Mohammad Bagher Ghomi - manuscript
    Regarding the relation of Plato’s early and middle period dialogues, scholars have been divided to two opposing groups: unitarists and developmentalists. While developmentalists try to prove that there are some noticeable and even fundamental differences between Plato’s early and middle period dialogues, the unitarists assert that there is no essential difference in there. The main goal of this article is to suggest that some of Plato’s ontological as well as epistemological principles change, both radically and fundamentally, between the early and (...)
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  4. πολλαχῶς ἔστι; Plato’s Neglected Ontology.Mohammad Bagher Ghomi - manuscript
    This paper aims to suggest a new approach to Plato’s theory of being in Republic V and Sophist based on the notion of difference and the being of a copy. To understand Plato’s ontology in these two dialogues we are going to suggest a theory we call Pollachos Esti; a name we took from Aristotle’s pollachos legetai both to remind the similarities of the two structures and to reach a consistent view of Plato’s ontology. Based on this theory, when Plato (...)
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  5.  52
    (2 other versions)Gap Principles, Penumbral Consequence, and Infinitely Higher-Order Vagueness.Delia Graff Fara - 2003 - In J. C. Beall (ed.), Liars and Heaps: New Essays on the Semantics of Paradox. Oxford, England: Oxford University Press.
    Philosophers disagree about whether vagueness requires us to admit truth-value gaps, about whether there is a gap between the objects of which a given vague predicate is true and those of which it is false on an appropriately constructed sorites series for the predicate---a series involving small increments of change in a relevant respect between adjacent elements, but a large increment of change in that respect between the endpoints. There appears, however, to be widespread agreement that there is (...)
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  6. Mad Speculation and Absolute Inhumanism: Lovecraft, Ligotti, and the Weirding of Philosophy.Ben Woodard - 2011 - Continent 1 (1):3-13.
    continent. 1.1 : 3-13. / 0/ – Introduction I want to propose, as a trajectory into the philosophically weird, an absurd theoretical claim and pursue it, or perhaps more accurately, construct it as I point to it, collecting the ground work behind me like the Perpetual Train from China Mieville's Iron Council which puts down track as it moves reclaiming it along the way. The strange trajectory is the following: Kant's critical philosophy and much of continental philosophy which has followed, (...)
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  7. Sztuka a prawda. Problem sztuki w dyskusji między Gorgiaszem a Platonem (Techne and Truth. The problem of techne in the dispute between Gorgias and Plato).Zbigniew Nerczuk - 2002 - Wydawnictwo Uniwersytetu Wrocławskiego.
    Techne and Truth. The problem of techne in the dispute between Gorgias and Plato -/- The source of the problem matter of the book is the Plato’s dialogue „Gorgias”. One of the main subjects of the discussion carried out in this multi-aspect work is the issue of the art of rhetoric. In the dialogue the contemporary form of the art of rhetoric, represented by Gorgias, Polos and Callicles, is confronted with Plato’s proposal of rhetoric and concept of art (techne). The (...)
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  8. Architecture and Deconstruction. The Case of Peter Eisenman and Bernard Tschumi.Cezary Wąs - 2015 - Dissertation, University of Wrocław
    Architecture and Deconstruction Case of Peter Eisenman and Bernard Tschumi -/- Introduction Towards deconstruction in architecture Intensive relations between philosophical deconstruction and architecture, which were present in the late 1980s and early 1990s, belong to the past and therefore may be described from a greater than before distance. Within these relations three basic variations can be distinguished: the first one, in which philosophy of deconstruction deals with architectural terms but does not interfere with real architecture, the second one, in which (...)
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  9. 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 (...)
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  10. Lower and Upper Estimates of the Quantity of Algebraic Numbers.Yaroslav Sergeyev - 2023 - Mediterranian Journal of Mathematics 20:12.
    It is well known that the set of algebraic numbers (let us call it A) is countable. In this paper, instead of the usage of the classical terminology of cardinals proposed by Cantor, a recently introduced methodology using ①-based infinite numbers is applied to measure the set A (where the number ① is called grossone). Our interest to this methodology is explained by the fact that in certain cases where cardinals allow one to say only whether a set is (...)
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  11. A short history of fuzzy, intuitionistic fuzzy, neutrosophic and plithogenic sets.Akbar Rezaei, T. Oner, T. Katican, Florentin Smarandache & N. Gandotra - 2022 - International Journal of Neutrosophic Science 18.
    Recently, research on uncertainty modeling is progressing rapidly and many essential and breakthrough stud ies have already been done. There are various ways such as fuzzy, intuitionistic and neutrosophic sets to handle these uncertainties. Although these concepts can handle incomplete information in various real-world issues, they cannot address all types of uncertainty such as indeterminate and inconsistent information. Also, plithogenic sets as a generalization of crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets, which is a set whose elements are (...)
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  12.  91
    ONE AND THE MULTIPLE ON THE PHILOSOPHY OF MATHEMATICS - ALEXIS KARPOUZOS.Alexis Karpouzos - 2025 - Comsic Spirit 1:6.
    The relationship between the One and the Multiple in mystic philosophy is a profound and central theme that explores the nature of existence, the cosmos, and the divine. This theme is present in various mystical traditions, including those of the East and West, and it addresses the paradoxical coexistence of the unity and multiplicity of all things. -/- In mystic philosophy, the **One** often represents the ultimate reality, the source from which all things emanate and to which all things return. (...)
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  13. A Note on Cogito.Les Jones - manuscript
    Abstract A Note to Cogito Les Jones Blackburn College Previous submissions include -Intention, interpretation and literary theory, a first lookWittgenstein and St Augustine A DiscussionAreas of Interest – History of Western Philosophy, Miscellaneous Philosophy, European A Note on Cogito Descartes' brilliance in driving out doubt, and proving the existence of himself as a thinking entity, is well documented. Sartre's critique (or maybe extension) is both apposite and grounded and takes these enquiries on to another level. Let's take a look. 'I (...)
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  14. Quine's Monism and Modal Eliminativism in the Realm of Supervenience.Atilla Akalın - 2019 - International Journal of Social Humanities Sciences Research (JSHRS) 6 (34):795-800.
    This study asserts that W.V.O. Quine’s eliminative philosophical gaze into mereological composition affects inevitably his interpretations of composition theories of ontology. To investigate Quine’s property monism from the account of modal eliminativism, I applied to his solution for the paradoxes of de re modalities’ . Because of its vital role to figure out how dispositions are encountered by Quine, it was significantly noted that the realm of de re modalities doesn’t include contingent and impossible inferences about things. Therefore, for him, (...)
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  15. A Philosophical Rejection of The Big Bang Theory.Khuram Rafique - 2018 - Realism & Physics.
    Scientific inquiry takes onward course from the point where previous scientists had reached. But philosophical analysis initiates from scratch. Philosophy questions everything and chooses starting point for itself after having ruled out all the unsubstantiated and doubtful elements of the topic under study. Secondly, known realities must make sense. If a theory is officially 'counterintuitive', then either it is mere fiction or at the most; a distorted form of truth. This book's analysis is based on the philosophical principle (...)
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  16. A Proposed Expert System for Diagnosis of Migraine.Malak S. Hammad, Raja E. N. Altarazi, Rawan N. Al Banna, Dina F. Al Borno & Samy S. Abu-Naser - 2023 - International Journal of Academic Engineering Research (IJAER) 7 (6):1-8.
    Migraine is a complex neurological disorder characterized by recurrent moderate to severe headaches, accompanied by additional symptoms such as nausea, sensitivity to light and sound, and visual disturbances. Accurate and timely diagnosis of migraines is crucial for effective management and treatment. However, the diverse range of symptoms and overlapping characteristics with other headache disorders pose challenges in the diagnostic process. In this research, we propose the development of an expert system for migraine diagnosis using artificial intelligence and the CLIPS (C (...)
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  17. Both Materialist & non-Materialist are correct - about themselves: A brain’s self-identification as "Materialist" or “Non-Materialist” (dualist, panpsychist, idealist etc) as reflecting the absence or presence of an associated real non-material awareness/consciousness, rather than merely as a statement of a philosophical stance. A survey will identify relevant candidates of both types for a proposed brain-experiment to determine a possible correlation to the brain’s deep structure/neural wiring.Avi Rabinowitz - manuscript
    We contest the unsubstantiated assumption of both materialists and non-materialist that the ontological status they propose applies to all humans and that the competing claim is false for all - ie we reject both the claim of non-materialists that all humans share the same fundamental aspect of having a "non-material consciousness" (nmc), as well as the contrasting claim of materialists that none do (being fully material as according to eliminative materialists/reductive physicalists etc). Instead, the basic proposition of this paper, (...)
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  18. A Revolutionary New Metaphysics, Based on Consciousness, and a Call to All Philosophers.Lorna Green - manuscript
    June 2022 A Revolutionary New Metaphysics, Based on Consciousness, and a Call to All Philosophers We are in a unique moment of our history unlike any previous moment ever. Virtually all human economies are based on the destruction of the Earth, and we are now at a place in our history where we can foresee if we continue on as we are, our own extinction. As I write, the planet is in deep trouble, heat, fires, great storms, and record flooding, (...)
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  19. Plato on Knowledge as a Power.Nicholas D. Smith - 2000 - Journal of the History of Philosophy 38 (2):145-168.
    In lieu of an abstract, here is a brief excerpt of the content:Plato on Knowledge as a Power1Nicholas D. SmithAt 471C4 in Plato’s Republic, the argument takes a sudden turn when Glaucon becomes impatient with all of the specific prescriptions Socrates has been making, and asks to return to the issue Socrates had earlier set aside—whether or not the city he was describing could ever be brought into being. In response to Glaucon’s impatient question, Socrates articulates his “third wave of (...)
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  20. D'vûd-i Karsî’nin Şerhu Îs'gûcî Adlı Eserinin Eleştirmeli Metin Neşri ve Değerlendirmesi.Ferruh Özpilavcı - 2017 - Cumhuriyet İlahiyat Dergisi 21 (3):2009-2009.
    Dâwûd al-Qarisî (Dâvûd al-Karsî) was a versatile and prolific 18th century Ottoman scholar who studied in İstanbul and Egypt and then taught for long years in various centers of learning like Egypt, Cyprus, Karaman, and İstanbul. He held high esteem for Mehmed Efendi of Birgi (Imâm Birgivî/Birgili, d.1573), out of respect for whom, towards the end of his life, Karsî, like Birgivî, occupied himself with teaching in the town of Birgi, where he died in 1756 and was buried next to (...)
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  21. The ethical significance of evolution.Andrzej Elzanowski - 2010 - In Soniewicka Stelmach (ed.), Stelmach, J., Soniewicka M., Załuski W. (red.) Legal Philosophy and the Challenges of Biosciences (Studies in the Philosophy of Law 4). Wydawnictwo Uniwersytetu Jagiellońskiego. pp. 65-76.
    DARWIN’s (1859, 1871) discoveries have profound ethical implications that continue to be misrepresented and/or ignored. In contrast to socialdarwinistic misuses of his theory, Darwin was a great humanitarian who paved the way for an integrated scientific and ethical world view. As an ethical doctrine, socialdarwinism is long dead ever since its defeat by E. G. Moore although the socialdarwinistic thought is a hard-die in the biological community. The accusations of sociobiology for being socialdarwinistic are unfounded and stem from the moralistic (...)
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  22. How to Philosophize With A Hammer (A Squeaky Plastic One).Chris A. Kramer - 2021 - In Kishor Vaidya (ed.), Teach with a Sense of Humor: Why (and How to) Be a Funnier and More Effective Teacher and Laugh All the Way to Your Classroom. pp. 176-187.
    "The Mind is not a Vessel to be Filled but a Fire to be Kindled", and "Education is Not the Filling of Pail But the Lighting of a Fire", and ... Something About a Horse ... You can lead a horse to water, but you can’t make it smile? Because of the long face and all? (No, that can’t be it). Anyway, borrowing a bit from Plutarch and Yeats (maybe, there is no agreement on whether he said that about pails (...)
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  23. Aristotle’s Theory of Motion.Mohammad Bagher Ghomi - manuscript
    Aristotle defines motion as such: ‘The fulfillment of what exists potentially, in so far as it exist potentially, is motion.’ (Phy., Γ, 1, 201a10-11) He defines it again in the same chapter: ‘It is the fulfillment of what is potential when it is already fully real and operates not as itself but as movable, that is motion. What I mean by ‘as’ is this: Bronze is potentially a statue. But it is not the fulfillment of bronze as bronze which is (...)
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  24. Application of "A Thing Exists If It's A Grouping" to Russell's Paradox and Godel's First Incompletness Theorem.Roger Granet - manuscript
    A resolution to the Russell Paradox is presented that is similar to Russell's “theory of types” method but is instead based on the definition of why a thing exists as described in previous work by this author. In that work, it was proposed that a thing exists if it is a grouping tying "stuff" together into a new unit whole. In tying stuff together, this grouping defines what is contained within the new existent entity. A corollary is that a thing, (...)
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  25. Review of The Inflationary Universe by Alan Guth (1997).Michael Starks - 2016 - In Suicidal Utopian Delusions in the 21st Century: Philosophy, Human Nature and the Collapse of Civilization-- Articles and Reviews 2006-2017 2nd Edition Feb 2018. Las Vegas, USA: Reality Press. pp. 615-618.
    This is one of the best popular cosmology books ever written and Guth is now (2016) a top physics Professor at MIT. He tells the extremely complex story of inflation and related areas of particle physics in such an absorbing style that it reads like a detective novel-in fact, it is a detective novel-how he and others found out how the universe started! The interweaving of his personal story and that of many colleagues along with their photos and many wonderfully (...)
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  26. What Do Infinite Sets Look Like? ? It Depends on the Perspective of the Observer.Roger Granet - manuscript
    Consider an infinite set of discrete, finite-sized solid balls (i.e., elements) extending in all directions forever. Here, infinite set is not meant so much in the abstract, mathematical sense but in more of a physical sense where the balls have physical size and physical location-type relationships with their neighbors. In this sense, the set is used as an analogy for our possibly infinite physical universe. Two observers are viewing this set. One observer is internal to the set and is (...)
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  27. Is Mass at Rest One and the Same? A Philosophical Comment: on the Quantum Information Theory of Mass in General Relativity and the Standard Model.Vasil Penchev - 2014 - Journal of SibFU. Humanities and Social Sciences 7 (4):704-720.
    The way, in which quantum information can unify quantum mechanics (and therefore the standard model) and general relativity, is investigated. Quantum information is defined as the generalization of the concept of information as to the choice among infinite sets of alternatives. Relevantly, the axiom of choice is necessary in general. The unit of quantum information, a qubit is interpreted as a relevant elementary choice among an infinite set of alternatives generalizing that of a bit. The invariance to the axiom of (...)
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  28. Editorial, Cosmopolis. Spirituality, religion and politics.Paul Ghils - 2015 - Cosmopolis. A Journal of Cosmopolitics 7 (3-4).
    Cosmopolis A Review of Cosmopolitics -/- 2015/3-4 -/- Editorial Dominique de Courcelles & Paul Ghils -/- This issue addresses the general concept of “spirituality” as it appears in various cultural contexts and timeframes, through contrasting ideological views. Without necessarily going back to artistic and religious remains of primitive men, which unquestionably show pursuits beyond the biophysical dimension and illustrate practices seeking to unveil the hidden significance of life and death, the following papers deal with a number of interpretations covering a (...)
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  29. Logic of paradoxes in classical set theories.Boris Čulina - 2013 - Synthese 190 (3):525-547.
    According to Cantor (Mathematische Annalen 21:545–586, 1883 ; Cantor’s letter to Dedekind, 1899 ) a set is any multitude which can be thought of as one (“jedes Viele, welches sich als Eines denken läßt”) without contradiction—a consistent multitude. Other multitudes are inconsistent or paradoxical. Set theoretical paradoxes have common root—lack of understanding why some multitudes are not sets. Why some multitudes of objects of thought cannot themselves be objects of thought? Moreover, it is a logical truth that such multitudes do (...)
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  30. What is Done, Is Done.David B. Johnson - 2023 - In Between Ethics: Navigating the Ethical Space in Business. Dubuque: Kendall-Hunt Publishing.
    An interruption. Rethinking the first three chapters of this book, I have come to suspect that, not unlike Iris Murdoch and Emmanuel Levinas, the way I imagine ‘ethics’ floats on an idea that any ethical substantive position or ethical theory is always shaped through our existential condition and our embodied encounter with others. To Murdoch, existence is the disposition for our responses to the ways in which we perceive reality, and yet, although these responses are always part of who we (...)
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  31. (9 other versions)Stepping Beyond the Newtonian Paradigm in Biology. Towards an Integrable Model of Life: Accelerating Discovery in the Biological Foundations of Science.Plamen L. Simeonov, Edwin Brezina, Ron Cottam, Andreé C. Ehresmann, Arran Gare, Ted Goranson, Jaime Gomez-­‐Ramirez, Brian D. Josephson, Bruno Marchal, Koichiro Matsuno, Robert S. Root-­Bernstein, Otto E. Rössler, Stanley N. Salthe, Marcin Schroeder, Bill Seaman & Pridi Siregar - 2012 - In Plamen L. Simeonov, Leslie S. Smith & Andrée C. Ehresmann (eds.), Integral Biomathics: Tracing the Road to Reality. Springer. pp. 328-427.
    The INBIOSA project brings together a group of experts across many disciplines who believe that science requires a revolutionary transformative step in order to address many of the vexing challenges presented by the world. It is INBIOSA’s purpose to enable the focused collaboration of an interdisciplinary community of original thinkers. This paper sets out the case for support for this effort. The focus of the transformative research program proposal is biology-centric. We admit that biology to date has been more fact-oriented (...)
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  32. A paradox of rejection.Thomas N. P. A. Brouwer - 2014 - Synthese 191 (18):4451-4464.
    Given any proposition, is it possible to have rationally acceptable attitudes towards it? Absent reasons to the contrary, one would probably think that this should be possible. In this paper I provide a reason to the contrary. There is a proposition such that, if one has any opinions about it at all, one will have a rationally unacceptable set of propositional attitudes—or if one doesn’t, one will end up being cognitively imperfect in some other manner. The proposition I am concerned (...)
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  33. Competing ways of life and ring-composition in NE x 6-8.Thornton Lockwood - 2014 - In Ronald Polansky (ed.), The Cambridge Companion to Aristotle's Nicomachean Ethics. New York, New York: Cambridge University Press. pp. 350-369.
    The closing chapters of Aristotle’s Nicomachean Ethics x are regularly described as “puzzling,” “extremely abrupt,” “awkward,” or “surprising” to readers. Whereas the previous nine books described—sometimes in lavish detail—the multifold ethical virtues of an embodied person situated within communities of family, friends, and fellow-citizens, NE x 6-8 extol the rarified, god-like and solitary existence of a sophos or sage (1179a32). The ethical virtues that take up approximately the first half of the Ethics describe moral exempla who experience fear fighting for (...)
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  34.  95
    Quine's Naturalized Epistemology.M. Bogdanovic - 2020 - Beograd: Srpsko Filozofsko Društvo.
    It is well known that modern epistemology is a discipline that was left as a legacy by the great French philosopher René Descartes, and it is generally believed that it is a typically philosophical discipline whose problems can be dealt with only by philosophical (speculative) means of inquiry. Recently, however, the idea of naturalization of epistemological inquiry has emerged, and one of its most prominent advocates was Quine. However, the question is to what extent, if at all, the (...)
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  35. A taxonomy of multinational ethical and methodological standards for clinical trials of therapeutic interventions.C. M. Ashton, N. P. Wray, A. F. Jarman, J. M. Kolman, D. M. Wenner & B. A. Brody - 2011 - Journal of Medical Ethics 37 (6):368-373.
    Background If trials of therapeutic interventions are to serve society's interests, they must be of high methodological quality and must satisfy moral commitments to human subjects. The authors set out to develop a clinical - trials compendium in which standards for the ethical treatment of human subjects are integrated with standards for research methods. Methods The authors rank-ordered the world's nations and chose the 31 with >700 active trials as of 24 July 2008. Governmental and other authoritative entities of the (...)
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  36. Cień Boga w ogrodzie filozofa. Parc de La Villette w Paryżu w kontekście filozofii chôry.Wąs Cezary - 2021 - Wrocław: Wydawnictwo Uniwersytetu Wrocławskiego.
    The Shadow of God in the Philosopher’s Garden. The Parc de La Villette in Paris in the context of the philosophy of chôra I Bernard Tschumi’s project of the Parc de La Villette could have won the competition and was implemented thanks to the political atmosphere that accompanied the victory of the left-wing candidate in the French presidential elections in 1981. François Mitterand’s revision of the political programme and the replacement of radical reforms with the construction of prestigious architectural objects (...)
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  37. Quantum mechanics as a deterministic theory of a continuum of worlds.Kim Joris Boström - 2015 - Quantum Studies: Mathematics and Foundations 2 (3):315-347.
    A non-relativistic quantum mechanical theory is proposed that describes the universe as a continuum of worlds whose mutual interference gives rise to quantum phenomena. A logical framework is introduced to properly deal with propositions about objects in a multiplicity of worlds. In this logical framework, the continuum of worlds is treated in analogy to the continuum of time points; both “time” and “world” are considered as mutually independent modes of existence. The theory combines elements of Bohmian mechanics and (...)
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  38. (2 other versions)Logic and Music in Plato's Phaedo.Dominic Bailey - 2005 - Phronesis 50 (2):95-115.
    This paper aims to achieve a better understanding of what Socrates means by “sumfvne›n” in the sections of the Phaedo in which he uses the word, and how its use contributes both to the articulation of the hypothetical method and the proof of the soul’s immortality. Section I sets out the well-known problems for the most obvious readings of the relation, while Sections II and III argue against two remedies for these problems, the first an interpretation of what the (...)
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  39. Elements of Mathematical Logic for Consistency Analysis of Axiomatic Sets in the Mind-Body Problem.David Tomasi - 2020 - In David Låg Tomasi (ed.), Critical Neuroscience and Philosophy. A Scientific Re-Examination of the Mind-Body Problem. London, England, UK: Palgrave MacMillan Springer.
    (...) However, whether we chose a weak or strong approximation, the set would not make any sense at all, if (once more) this choice would not be justified in either temporal or spatial sense or given the context of possible applicability of the set in different circumstances. This would obviously represent a dualism in itself as we would (for instance) posit and apply a full identity-equality-equivalence of x and y when applying Newtonian physics to certain observations we make (it would (...)
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  40. Gödel mathematics versus Hilbert mathematics. I. The Gödel incompleteness (1931) statement: axiom or theorem?Vasil Penchev - 2022 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 14 (9):1-56.
    The present first part about the eventual completeness of mathematics (called “Hilbert mathematics”) is concentrated on the Gödel incompleteness (1931) statement: if it is an axiom rather than a theorem inferable from the axioms of (Peano) arithmetic, (ZFC) set theory, and propositional logic, this would pioneer the pathway to Hilbert mathematics. One of the main arguments that it is an axiom consists in the direct contradiction of the axiom of induction in arithmetic and the axiom of infinity in set theory. (...)
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  41. Easy Knowledge, Closure Failure, or Skepticism: A Trilemma.Guido Melchior - 2016 - Metaphilosophy 47 (2):214-232.
    This article aims to provide a structural analysis of the problems related to the easy knowledge problem. The easy knowledge problem is well known. If we accept that we can have basic knowledge via a source without having any prior knowledge about the reliability or accuracy of this source, then we can acquire knowledge about the reliability or accuracy of this source too easily via information delivered by the source. Rejecting any kind of basic knowledge, however, leads into an (...)
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  42. Laws of Essence or Constitutive Rules? Reinach vs. Searle on the Ontology of Social Entities.Barry Smith & Wojciech Zelaniec - 2012 - In Francesca De Vecchi (ed.), Eidetica del Diritto e Ontologia Sociale. Il Realismo di Adolf Reinach. Mimesis. pp. 83-108.
    Amongst the entities making up social reality, are there necessary relations whose necessity is not a mere reflection of the logical connections between corresponding concepts? We distinguish three main groups of answers to this question, associated with Hume and Adolf Reinach at opposite extremes, and with Searle who occupies a position somewhere in the middle. We first set forth Reinach’s views on what he calls ‘material necessities’ in the realm of social entities. We then attempt to show that Searle (...)
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  43. Do Abstract Mathematical Axioms About Infinite Sets Apply To The Real, Physical Universe?Roger Granet - manuscript
    Suppose one has a system, the infinite set of positive integers, P, and one wants to study the characteristics of a subset (or subsystem) of that system, the infinite subset of odd positives, O, relative to the overall system. In mathematics, this is done by pairing off each odd with a positive, using a function such as O=2P+1. This puts the odds in a one-to-one correspondence with the positives, thereby, showing that the subset of odds and the original set of (...)
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  44. Modeling the interaction of computer errors by four-valued contaminating logics.Roberto Ciuni, Thomas Macaulay Ferguson & Damian Szmuc - 2019 - In Rosalie Iemhoff, Michael Moortgat & Ruy de Queiroz (eds.), Logic, Language, Information, and Computation. Folli Publications on Logic, Language and Information. pp. 119-139.
    Logics based on weak Kleene algebra (WKA) and related structures have been recently proposed as a tool for reasoning about flaws in computer programs. The key element of this proposal is the presence, in WKA and related structures, of a non-classical truth-value that is “contaminating” in the sense that whenever the value is assigned to a formula ϕ, any complex formula in which ϕ appears is assigned that value as well. Under such interpretations, the contaminating states represent occurrences of a (...)
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  45. Miarą Jest Każdy Z Nas: Projekt Zwolenników Zmienności Rzeczy W Platońskim Teajtecie Na Tle Myśli Sofistycznej (Each of us is a measure. The project of advocates of change in Plato’s Theaetetus as compared with sophistic thought).Zbigniew Nerczuk - 2009 - Toruń: Wydawn. Nauk. Uniwersytetu Mikołaja Kopernika.
    Each of us is a measure. The project of advocates of change in Plato’s Theaetetus as compared with sophistic thought -/- Summary -/- One of the most intriguing motives in Plato’s Theaetetus is its historical-based division of philosophy, which revolves around the concepts of rest (represented by Parmenides and his disciples) and change (represented by Protagoras, Homer, Empedocles, and Epicharmus). This unique approach gives an opportunity to reconstruct the views of marginalized trend of early Greek philosophy - so called „the (...)
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  46. Tomasza z Akwinu koncepcja prawa naturalnego. Czy Akwinata jest myślicielem liberalnym? [Thomas Aquinas’s Conception of Natural Law: Is Aquinas a Liberal Thinker?].Marek Piechowiak - 2013 - Przegląd Tomistyczny 19:301-337.
    This article seeks to justify the claim that Thomas Aquinas proposed a concept of natural law which is immune to the argument against the recognition of an objective grounding of the good formulated by a well-known representative of the liberal tradition, Isaiah Berlin, in his famous essay “Two Concepts of Freedom.” I argue that Aquinas’s concept of freedom takes into account the very same values and goals that Berlin set out to defend when he composed his critique of natural (...)
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  47. Normativity without dualism: Connecting the dots between natural and social sciences.A. N. de Brito & Adriano Naves de Brito - 2017 - Dissertatio 45 (S5):3-21.
    The normative phenomenon is ubiquitous in human interactions, emerging in a wide range of fields studied by social science and considered as one of the essential traits of human’s way of life. The modern subjectivist tradition of social science has been based on a model in which elements like self, freedom and reason play the most relevant roles in explaining normativity by connecting beliefs to behaviors by means of motives that are non-reducible to preferences, desires or impulses. In this (...)
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  48. Complexity Reality and Scientific Realism.Avijit Lahiri - manuscript
    We introduce the notion of complexity, first at an intuitive level and then in relatively more concrete terms, explaining the various characteristic features of complex systems with examples. There exists a vast literature on complexity, and our exposition is intended to be an elementary introduction, meant for a broad audience. -/- Briefly, a complex system is one whose description involves a hierarchy of levels, where each level is made of a large number of components interacting among themselves. The time (...)
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  49. Classification of A few Fruits Using Deep Learning.Mohammed Alkahlout, Samy S. Abu-Naser, Azmi H. Alsaqqa & Tanseem N. Abu-Jamie - 2022 - International Journal of Academic Engineering Research (IJAER) 5 (12):56-63.
    Abstract: Fruits are a rich source of energy, minerals and vitamins. They also contain fiber. There are many fruits types such as: Apple and pears, Citrus, Stone fruit, Tropical and exotic, Berries, Melons, Tomatoes and avocado. Classification of fruits can be used in many applications, whether industrial or in agriculture or services, for example, it can help the cashier in the hyper mall to determine the price and type of fruit and also may help some people to determining whether a (...)
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  50. Z badań nad teorią zdań odrzuconych.Urszula Wybraniec-Skardowska & Grzegorz Bryll - 1969 - Opole, Poland: Wydawnictwo Wyższej Szkoły Pedagogicznej w Opolu, Zeszyty Naukowe, Seria B: Studia i Monografie nr 22. Edited by Urszula Wybraniec-Skardowska & Grzegorz Bryll.
    The monograph contains three works on research on the concept of a rejected sentence. This research, conducted under the supervision of Prof. Jerzy Słupecki by U. Wybraniec-Skardowska (1) "Theory of rejected sentences" and G. Bryll (2) "Some supplements of theory of rejected sentences" and (3) "Logical relations between sentences of empirical sciences" led to the construction of a theory rejected sentences and made it possible to formalize certain issues in the methodology of empirical sciences. The concept of a rejected sentence (...)
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