Results for 'Greek number theory'

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  1.  39
    Problems in the interpretation of greek number theory: Euclid and the 'fundamental theorem of arithmetic'.W. Knorr - 1976 - Studies in History and Philosophy of Science Part A 7 (4):353-368.
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  2. The Nuremberg Code subverts human health and safety by requiring animal modeling.Ray Greek, Annalea Pippus & Lawrence A. Hansen - 2012 - BMC Medical Ethics 13 (1):1-17.
    The requirement that animals be used in research and testing in order to protect humans was formalized in the Nuremberg Code and subsequent national and international laws, codes, and declarations. We review the history of these requirements and contrast what was known via science about animal models then with what is known now. We further analyze the predictive value of animal models when used as test subjects for human response to drugs and disease. We explore the use of animals for (...)
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  3.  50
    Philosophical Theories of Colour in Ancient Greek Thought – and Their Relevance Today.Maria Michela Sassi - 2022 - Ancient Philosophy Today 4 (2):155-175.
    Our modern scientific explanation of colour as a subjective impression has replaced a ‘pre-theoretical’ notion of colour as an intrinsic property of objects, which was mainstream in ancient thought. Why have we lost such pre-theoretical notion, and what have we lost by losing it? I argue that most ancient Greek philosophers exploited this pre-theoretical assumption – one that was obvious to them – in terms and ways that are still worthy of attention in the context of contemporary philosophy of (...)
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  4.  37
    The creationists.Ronald L. Numbers - 1987 - Zygon 22 (2):133-164.
    As the crusade to outlaw the teaching of evolution changed to a battle for equal time for creationism, the ideological defenses of that doctrine also shifted from primarily biblical to more scientific grounds. This essay describes the historical development of “scientific creationism” from a variety of late–nineteenth– and early–twentieth–century creationist reactions to Charles Darwin's theory of evolution, through the Scopes trial and the 1960s revival of creationism, to the current spread of strict creationism around the world.
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  5.  13
    Creation by Natural Law: Laplace's Nebular Hypothesis in American Thought.Ronald L. Numbers - 1977
    Belief in the divine origin of the universe began to wane most markedly in the nineteenth century, when scientific accounts of creation by natural law arose to challenge traditional religious doctrines. Most of the credit - or blame - for the victory of naturalism has generally gone to Charles Darwin and the biologists who formulated theories of organic evolution. Darwinism undoubtedly played the major role, but the supporting parts played by naturalistic cosmogonies should also be acknowledged. Chief among these was (...)
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  6. Are animal models predictive for humans?Niall Shanks, Ray Greek & Jean Greek - 2009 - Philosophy, Ethics, and Humanities in Medicine 4:2.
    It is one of the central aims of the philosophy of science to elucidate the meanings of scientific terms and also to think critically about their application. The focus of this essay is the scientific term predict and whether there is credible evidence that animal models, especially in toxicology and pathophysiology, can be used to predict human outcomes. Whether animals can be used to predict human response to drugs and other chemicals is apparently a contentious issue. However, when one empirically (...)
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  7.  8
    Subscriptions and back numbers.Editors Polis: The Journal for Ancient Greek Political Thought - 1989 - Polis 8 (2):59-59.
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  8.  11
    Subscriptions and back numbers.Editors Polis: The Journal for Ancient Greek Political Thought - 1990 - Polis 9 (2):210-210.
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  9.  6
    Selected Works of George Mccready Price: A ten-Volume Anthology of Documents, 1903–1961.Ronald L. Numbers - 1995 - Routledge.
    Originally published in 1995, The Selected Works of George McCready Price is the seventh volume in the series, Creationism in Twentieth Century America, reissued in 2019. The volume brings together the original writings and pamphlets of George McCready Price, a leading creationist of the early antievolution crusade of the 1920s. McCready Price labelled himself the 'principal scientific authority of the Fundamentalists' and as a self-taught scientist he enjoyed more scientific repute amongst fundamentalists of the time. This interesting and unique collection (...)
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  10.  8
    The Antievolution Works of Arthur I. Brown: A Ten-Volume Anthology of Documents, 1903–1961.Ronald L. Numbers - 1995 - Routledge.
    Originally published in 1995, The Antievolution Works of Arthur I. Brown is the third volume in the series, Creationism in Twentieth Century America. The volume brings together original sources from the prominent surgeon and creationist Arthur I. Brown. Brown discredited evolution as it was contrary to the 'clear statements of scripture' which he believed infallible, stating evolution instead to be both a hoax and 'a weapon of Satan'. The works included focus on Brown's polemic through his early twentieth century writings. (...)
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  11.  9
    Archive Feelings: A Theory of Greek Tragedy by Mario Telò (review).Sean Lambert - 2023 - Substance 52 (3):113-116.
    In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Archive Feelings: A Theory of Greek Tragedy by Mario TelòSean LambertTelò, Mario. Archive Feelings: A Theory of Greek Tragedy. Ohio State University Press, 2020. 344pp.In Archive Feelings: A Theory of Greek Tragedy, Mario Telò takes aim at one of the most canonical (if also one of the most contested) features of Greek tragedy: its potential to deliver catharsis (12).1 Through careful (...)
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  12.  6
    Subscriptions and back numbers.Editors Polis: The Journal for Ancient Greek Political Thought - 1992 - Polis 11 (2):134-134.
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  13.  9
    Subscriptions and back numbers.Editors Polis: The Journal for Ancient Greek Political Thought - 1993 - Polis 12 (1-2):219-219.
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  14.  36
    Plato's Theory of Number.Ivor Bulmer-Thomas - 1983 - Classical Quarterly 33 (02):375-.
    In a well-known passage Aristotle ascribes to Plato, or as some think to his followers, the dictum, γρ ριθμóς στιν κ νòς κα τς ορίστον , ‘Number is from the one and the undetermined dyad ’, but what this apparently simple statement means has remained a mystery until modern times. In other passages Aristotle expands it to explain that the indefinite duality is a duality of the great and small, e.g., ς μν ον λην τò μγα κα τò μικρòν (...)
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  15.  7
    Plato's Theory of Number.Ivor Bulmer-Thomas - 1983 - Classical Quarterly 33 (2):375-384.
    In a well-known passage Aristotle ascribes to Plato, or as some think to his followers, the dictum, γρ ριθμóς στιν κ νòς κα τς ορίστον, ‘Number is from the one and the undetermined dyad ’, but what this apparently simple statement means has remained a mystery until modern times. In other passages Aristotle expands it to explain that the indefinite duality is a duality of the great and small, e.g., ς μν ον λην τò μγα κα τò μικρòν εναι (...)
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  16.  53
    A Review of the Institute of Medicine’s Analysis of using Chimpanzees in Biomedical Research. [REVIEW]Robert C. Jones & Ray Greek - 2014 - Science and Engineering Ethics 20 (2):481-504.
    We argue that the recommendations made by the Institute of Medicine’s 2011 report, Chimpanzees in Biomedical and Behavioral Research : Assessing the Necessity, are methodologically and ethically confused. We argue that a proper understanding of evolution and complexity theory in terms of the science and ethics of using chimpanzees in biomedical research would have had led the committee to recommend not merely limiting but eliminating the use of chimpanzees in biomedical research. Specifically, we argue that a proper understanding of (...)
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  17.  24
    From Miasma to Asthma: The Changing Fortunes of Medical Geography in America.Gregg Mitman & Ronald Numbers - 2003 - History and Philosophy of the Life Sciences 25 (3):391 - 412.
    Historians of modern medicine often divide their subject into two parts, separated by the bacteriological revolution of the late nineteenth century, when medicine supposedly became 'scientific' for the first time. The history of medical geography - to say nothing of other subjects - calls this common view into question. At least in the United States, students of medical geography, arguably the pre-eminent medical science in an age dominated by miasmatic theories of disease, readily adapted to the discovery of germs. And (...)
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  18.  6
    The Creationist Writings of Byron C. Nelson: A ten-Volume Anthology of Documents, 1903–1961.Paul Nelson & Ronald L. Numbers - 1995 - Routledge.
    Originally published in 1995 this is the fifth volume in the series Creationism in 20th Century America. It re-publishes After Its Kind - a critique on theories of biological evolution and a defense of the biblical account of creation which Nelson wrote when he was a Pastor in New Jersey where he also attended classes in genetics and zoology at Rutgers university. His 1931 volume The Deluge Story in Stone: A History of the Flood Theory of Geology, also reprinted (...)
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  19.  38
    The Number Ten Reconsidered: Did the Pythagoreans Have an Account of the Dekad?Irina Deretić & Višnja Knežević - 2020 - Rhizomata 8 (1):37-58.
    We critically reconsider an old hypothesis of the role of the dekad in Pythagorean philosophy. Unlike Zhmud, we claim that: 1) the dekad did play a role in Philolaus’ astronomical system, and 2) Aristotle did not project Plato’s theory of the ten eidetic numbers onto the Pythagoreans. We claim that the dekad, as the τέλειος ἀριθμός, should be understood in Philolaus’ philosophy as completeness and the basis of counting in Greek – as in most other languages – in (...)
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  20.  17
    Model Theory and the Philosophy of Mathematical Practice: Formalization Without Foundationalism.John T. Baldwin - 2018 - Cambridge University Press.
    Major shifts in the field of model theory in the twentieth century have seen the development of new tools, methods, and motivations for mathematicians and philosophers. In this book, John T. Baldwin places the revolution in its historical context from the ancient Greeks to the last century, argues for local rather than global foundations for mathematics, and provides philosophical viewpoints on the importance of modern model theory for both understanding and undertaking mathematical practice. The volume also addresses the (...)
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  21.  24
    Talking About Nothing: Numbers, Hallucinations and Fictions.Jody Azzouni - 2010 - Oxford, England: Oxford University Press USA.
    Ordinary language and scientific language enable us to speak about, in a singular way, what we recognize not to exist: fictions, the contents of our hallucinations, abstract objects, and various idealized but nonexistent objects that our scientific theories are often couched in terms of. Indeed, references to such nonexistent items-especially in the case of the application of mathematics to the sciences-are indispensable. We cannot avoid talking about such things. Scientific and ordinary languages thus enable us to say things about Pegasus (...)
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  22.  26
    The Pentatonic Tuning of the Greek Lyre: A Theory Examined.R. P. Winnington-Ingram - 1956 - Classical Quarterly 6 (3-4):169-.
    It has commonly been assumed that, on ancient Greek instruments of the lyre-type , when a string had been tuned to a certain note, that note and that note only could be played, until the string was retuned; thus, that a separate string was required for each note of a given scale. This view involves certain difficulties. The canonical number of strings was seven, and seven-stringed lyres and citharas continue to be represented in art throughout the classical period. (...)
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  23.  25
    Theaetetus and the History of the Theory of Numbers.A. Wasserstein - 1958 - Classical Quarterly 8 (3-4):165-.
    This famous passage has given rise to much discussion and some perplexity. Theodoras the mathematician is represented by Theaetetus as proving the irrationality of the square roots of the numbers from 3 to 17: ‘He took the separate cases up to the root of 17 square feet; and there, for some reason, he stopped.’ The passage is of great importance in the history of Greek mathematics for more than one reason. Theaetetus is said to have generalized the proof of (...)
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  24.  10
    Theaetetus and the History of the Theory of Numbers.A. Wasserstein - 1958 - Classical Quarterly 8 (3-4):165-179.
    This famous passage has given rise to much discussion and some perplexity. Theodoras the mathematician is represented by Theaetetus as proving the irrationality of the square roots of the numbers from 3 to 17: ‘He took the separate cases up to the root of 17 square feet; and there, for some reason, he stopped.’ The passage is of great importance in the history of Greek mathematics for more than one reason. Theaetetus is said to have generalized the proof of (...)
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  25.  2
    Go(Φ)d is Number: Plotting the Divided Line & the Problem of the Irrational.Sandra Kroeker - 2024 - Athens Journal of Philosophy 3 (2):95-110.
    Plato believed that behind everything in the universe lie mathematical principles. Plato was inspired by Pythagoras (571 BCE), who developed a school of mathematics at Crotona that studied sacred geometry as a form of religion. The school’s motto was “God is number,” or “All is Number”. Pythagoras believed that numbers represented God in pattern, symmetry, and infinity. When one of its students, Hippasus told the world the secret of the existence of irrational numbers, Greek geometry was born (...)
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  26. Greek Returns: The Poetry of Nikos Karouzos.Nick Skiadopoulos & Vincent W. J. Van Gerven Oei - 2011 - Continent 1 (3):201-207.
    continent. 1.3 (2011): 201-207. “Poetry is experience, linked to a vital approach, to a movement which is accomplished in the serious, purposeful course of life. In order to write a single line, one must have exhausted life.” —Maurice Blanchot (1982, 89) Nikos Karouzos had a communist teacher for a father and an orthodox priest for a grandfather. From his four years up to his high school graduation he was incessantly educated, reading the entire private library of his granddad, comprising mainly (...)
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  27.  11
    Greek Reflections on the Nature of Music.Flora R. Levin - 2009 - Cambridge University Press.
    Flora Levin explores how and why music was so important to the ancient Greeks. She examines the distinctions that they drew between the theory of music as an art ruled by number and the theory wherein number is held to be ruled by the art of music. These perspectives generated more expansive theories, particularly the idea that the cosmos is a mirror-image of music's structural elements and, conversely, that music by virtue of its cosmic elements - (...)
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  28.  9
    Essays in Ancient Greek Philosophy I.John P. Anton & George L. Kustas (eds.) - 1971 - Albany: State University of New York Press.
    The essays in this volume treat a wide variety of fundamental topics and problems in ancient Greek philosophy. The scope of the section on pre-Socratic thought ranges over the views which these thinkers have on such areas of concern as religion, natural philosophy and science, cosmic periods, the nature of elements, theory of names, the concept of plurality, and the philosophy of mind. The essays dealing with the Platonic dialogues examine with unusual care a great number of (...)
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  29.  50
    Plotinus on number.Svetla Slaveva-Griffin - 2009 - New York: Oxford University Press.
    Ancient Greek Philosophy routinely relied upon concepts of number to explain the tangible order of the universe. Plotinus' contribution to this tradition, however, has been often omitted, if not ignored. The main reason for this, at first glance, is the Plotinus does not treat the subject of number in the Enneads as pervasively as the Neopythagoreans or even his own successors Lamblichus, Syrianus, and Proclus. Nevertheless, a close examination of the Enneads reveals that Plotinus systematically discusses (...) in relation to each of his underlying principles of existence--the One, Intellect, and Soul. Plotinus on Number offers the first comprehensive analysis of Plotinus' concept of number, beginning with its origins in Plato and the Neopythagoreans and ending with its influence on Porphyry's arrangement of the Enneads. It's main argument is that Plotinus adapts Plato's and the Neopythagoreans' cosmology to place number in the foundation of the intelligible realm and in the construction of the universe. Through Plotinus' defense of Plato's Ideal Numbers from Aristotle's criticism, Svetla Slaveva-Griffin reveals the founder of Neoplatonism as the first post-Platonic philosopher who purposefully and systematically develops what we may call a theory of number, distinguishing between number in the intelligible realm and number in the quantitative, mathematical realm. Finally, the book draws attention to Plotinus' concept as a necesscary and fundamental linke between Platonic and late Neoplatonic schools of philosophy. (shrink)
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  30.  20
    Number and Numeral.Friedrich Kittler - 2006 - Theory, Culture and Society 23 (7-8):51-61.
    In his essay Thinking Colours and/or Machines Kittler hints at a key point in the emergence of modern European culture: the point at which ‘letters and numbers no longer coincide’. In this essay - first published in 2003 as Zahl und Ziffer - Kittler traces the split between numerals and numbers in sweeping historical detail. This is part of a much larger project, the aim of which is to think about technology, history and culture anew by considering the ways in (...)
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  31.  32
    Spurious, Emergent Laws in Number Worlds.Cristian S. Calude & Karl Svozil - 2019 - Philosophies 4 (2):17.
    We study some aspects of the emergence of _lógos_ from _xáos_ on a basal model of the universe using methods and techniques from algorithmic information and Ramsey theories. Thereby an intrinsic and unusual mixture of meaningful and spurious, emerging laws surfaces. The spurious, emergent laws abound, they can be found almost everywhere. In accord with the ancient Greek theogony one could say that _lógos_, the Gods and the laws of the universe, originate from “the void,„ or from _xáos_, a (...)
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  32.  49
    Theognis of Megara and the Divine Creating Power in the Framework of Semiotic Textology: An Application of János Sándor Petöfi’s Theory to Archaic Greek Literature. [REVIEW]Mauro Giuffrè - 2012 - Journal of Logic, Language and Information 21 (3):325-346.
    This paper is a demonstration of an application of Semiotic Textology to a limited case study. The main aspects of Semiotic Textology, the theory elaborated by Petöfi, are presented; secondly the linguistic aspects of the interpretation of lines 133–134 of the Theognis of Megara’s poem, analysed in the framework of said theory, are presented. All the relevant syntactic, semantic, pragmatic information involved in text processing have been considered. Through fixed steps, it is shown that text processing is not (...)
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  33.  61
    The theory of planned behavior as a model of academic dishonesty in engineering and humanities undergraduates.Trevor S. Harding, Matthew J. Mayhew, Cynthia J. Finelli & Donald D. Carpenter - 2007 - Ethics and Behavior 17 (3):255 – 279.
    This study examines the use of a modified form of the theory of planned behavior in understanding the decisions of undergraduate students in engineering and humanities to engage in cheating. We surveyed 527 randomly selected students from three academic institutions. Results supported the use of the model in predicting ethical decision-making regarding cheating. In particular, the model demonstrated how certain variables (gender, discipline, high school cheating, education level, international student status, participation in Greek organizations or other clubs) and (...)
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  34.  24
    Architectural Theory, Volume 1: An Anthology From Vitruvius to 1870 (review).Peg Rawes - 2007 - Journal of Aesthetic Education 41 (2):111-115.
    In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Architectural Theory, Volume 1: An Anthology from Vitruvius to 1870Peg RawesArchitectural Theory, Volume 1: An Anthology from Vitruvius to 1870, edited by Harry Francis Mallgrave. Malden MA, Oxford, Victoria: Blackwell Publishing, 2006, 590 pp., $49.95.This anthology is a rich and comprehensive documentation of the key stages that construct Western architectural theory, from Vitruvius's classical writing to Gottfried Semper's theories in late-nineteenth-century Europe. Comprised of 229 (...)
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  35.  33
    A History of Greek Philosophy. [REVIEW]N. A. - 1976 - Review of Metaphysics 30 (2):341-342.
    The fourth volume of Professor Guthrie’s History, dealing with Plato’s life and with eighteen of his dialogues, is as welcome as its three predecessors. In keeping with the nature of a history of this sort, the picture of Plato’s life and thought presented here is judicious and non-controversial in its outlines. There are many helpful references both to the ancient and to the modern literature, and a vast amount of information is transmitted with surprising painlessness. For the facts of Plato’s (...)
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  36.  45
    Richard Wagner: Theory and Theatre.Dieter Borchmeyer - 1991 - Clarendon Press.
    Richard Wagner has come to be seen as the quintessential artist of the nineteenth century, whose work embraces all the arts of the period. Dieter Borchmeyer here provides the first systematic and comprehensive account of Wagner's aesthetic theory, examining his hitherto neglected prose writings and his ideas on music drama from the various standpoints of literature, the linking of ideas, and the sociology of art. The pre-eminent importance for Wagner of classical Greek art and mythology emerges with particular (...)
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  37.  18
    Beauty of Order and Symmetry in Minerals: Bridging Ancient Greek Philosophy with Modern Science.Chiara Elmi & Dani L. Goodman - forthcoming - Foundations of Science:1-13.
    Scientific observation has led to the discovery of recurring patterns in nature. Symmetry is the property of an object showing regularity in parts on a plane or around an axis. There are several types of symmetries observed in the natural world and the most common are mirror symmetry, radial symmetry, and translational symmetry. Symmetries can be continuous or discrete. A discrete symmetry is a symmetry that describes non-continuous changes in an object. A continuous symmetry is a repetition of an object (...)
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  38.  6
    Greek political theory.Ernest Barker - 1925 - New York,: Barnes & Noble.
    Much has been written about the interpretation of Plato in the last thirty years. Once interpreted as a revolutionary of the left, and a prophet of Socialism, he has lately been interpreted as a revolutionary of the Right and a forerunner of Fascism. In this book Plato appears as himself âe" a revolutionary indeed, and even an authoritarian, but a revolutionary of the pure idea of the Good, and an authoritarian of the pure reason, unattached either to the Right or (...)
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  39.  80
    Greek Political Theory: Plato and his Predecessors.Ernest Barker - 1919 - International Journal of Ethics 30 (1):105-106.
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  40. Number theory and elementary arithmetic.Jeremy Avigad - 2003 - Philosophia Mathematica 11 (3):257-284.
    is a fragment of first-order aritlimetic so weak that it cannot prove the totality of an iterated exponential fimction. Surprisingly, however, the theory is remarkably robust. I will discuss formal results that show that many theorems of number theory and combinatorics are derivable in elementary arithmetic, and try to place these results in a broader philosophical context.
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  41.  7
    Greek Memories: Theories and Practices.Luca Castagnoli & Paola Ceccarelli (eds.) - 2018 - New York: Cambridge University Press.
    Greek Memories aims to identify and examine the central concepts underlying the theories and practices of memory in the Greek world, from the archaic period to Late Antiquity, across all the main literary genres, and to trace some fundamental changes in these theories and practices. It explores the interaction and development of different 'disciplinary' approaches to memory in Ancient Greece, which will enable a fuller and deeper understanding of the whole phenomenon, and of its specific manifestations. This collection (...)
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  42.  8
    Greek Political Theory: Plato and His Predecessors.Ernest Barker - 1918 - Methuen.
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  43. Greek Political Theory: Plato and His Predecessors.Ernest Barker - 1919 - Mind 28 (111):347-354.
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  44.  26
    A Genetic Interpretation of Neo-Pythagorean Arithmetic.Ioannis M. Vandoulakis - 2010 - Oriens - Occidens 7:113-154.
    The style of arithmetic in the treatises the Neo-Pythagorean authors is strikingly different from that of the "Elements". Namely, it is characterised by the absence of proof in the Euclidean sense and a specific genetic approach to the construction of arithmetic that we are going to describe in our paper. Lack of mathematical sophistication has led certain historians to consider this type of mathematics as a feature of decadence of mathematics in this period [Tannery 1887; Heath 1921]. The alleged absence (...)
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  45.  34
    Principles and Proofs: Aristotle’s Theory of Demonstrative Science.Richard D. McKirahan (ed.) - 1992 - Princeton University Press.
    By a thorough study of the Posterior Analytics and related Aristotelian texts, Richard McKirahan reconstructs Aristotle's theory of episteme--science. The Posterior Analytics contains the first extensive treatment of the nature and structure of science in the history of philosophy, and McKirahan's aim is to interpret it sympathetically, following the lead of the text, rather than imposing contemporary frameworks on it. In addition to treating the theory as a whole, the author uses textual and philological as well as philosophical (...)
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  46.  21
    A Materialist Theory of Happiness.Boštjan Nedoh - 2023 - Filozofski Vestnik 43 (1).
    If we had to identify the most controversial concept today, “happiness” would certainly figure among the main candidates for this role. On the one hand, “happiness” has represented one of the main ethical axes in the history of philosophy – from Greek _eudaimonia_ to Bentham’s “greatest happiness for the greatest number of people.” Ethics was almost inextricably connected with the search for happiness, which was already in Greek synonymous for the “good life”. On the other hand, capitalism (...)
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  47.  3
    Richard Wagner: Theory and Theatre.Stewart Spencer (ed.) - 1991 - Clarendon Press.
    Richard Wagner has come to be seen as the quintessential artist of the nineteenth century, whose work embraces all the arts of the period. Dieter Borchmeyer here provides the first systematic and comprehensive account of Wagner's aesthetic theory, examining his hitherto neglected prose writings and his ideas on music drama from the various standpoints of literature, the linking of ideas, and the sociology of art. The pre-eminent importance for Wagner of classical Greek art and mythology emerges with particular (...)
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  48.  29
    Number Theory.Jeremy Avigad, Kevin Donnelly, David Gray & Adam Kramer - unknown
    1.1 Some examples of rule induction on permutations . . . . . . . 6 1.2 Ways of making new permutations . . . . . . . . . . . . . . . 7 1.3 Further results . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.4 Removing elements . . . . . . . . . . (...)
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  49.  22
    Greek Legal Theory.A. H. Campbell - 1958 - The Classical Review 8 (02):165-.
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  50.  10
    Number Theory: An Approach through History, from Hammurapi to Legendre. Andre Weil.Ronald Calinger - 1986 - Isis 77 (1):153-154.
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