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Phronēsis
''Phronesis'' ( grc, φρόνησῐς, phrónēsis), translated into English by terms such as prudence, practical virtue and practical wisdom, or, colloquially, sense (as in "good sense", "horse sense") is an ancient Greek word for a type of wisdom or intelligence relevant to practical action. It implies both good judgment and excellence of character and habits, and was a common topic of discussion in ancient Greek philosophy, in ways that are still influential today. In Aristotelian ethics, for example in the ''Nicomachean Ethics'', the concept is distinguished from other words for wisdom and intellectual virtues – such as ''episteme'' and ''techne'' – because of its practical character. The traditional Latin translation was , the source of the English word "prudence". Among other proposals, Thomas McEvilley has proposed that the best translation is "mindfulness". Ancient Greek philosophy Plato In some of Plato's dialogues, Socrates proposes that ''phronēsis'' is a nec ...
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φρόνησις
''Phronesis'' ( grc, φρόνησῐς, phrónēsis), translated into English by terms such as prudence, practical virtue and practical wisdom, or, colloquially, sense (as in "good sense", "horse sense") is an ancient Greek word for a type of wisdom or intelligence relevant to practical action. It implies both good judgment and excellence of character and habits, and was a common topic of discussion in ancient Greek philosophy, in ways that are still influential today. In Aristotelian ethics, for example in the ''Nicomachean Ethics'', the concept is distinguished from other words for wisdom and intellectual virtues – such as ''episteme'' and ''techne'' – because of its practical character. The traditional Latin translation was , the source of the English word "prudence". Among other proposals, Thomas McEvilley has proposed that the best translation is "mindfulness". Ancient Greek philosophy Plato In some of Plato's dialogues, Socrates proposes that ''phronēsis'' is a nec ...
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Aristotle
Aristotle (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatetic school of philosophy within the Lyceum and the wider Aristotelian tradition. His writings cover many subjects including physics, biology, zoology, metaphysics, logic, ethics, aesthetics, poetry, theatre, music, rhetoric, psychology, linguistics, economics, politics, meteorology, geology, and government. Aristotle provided a complex synthesis of the various philosophies existing prior to him. It was above all from his teachings that the West inherited its intellectual lexicon, as well as problems and methods of inquiry. As a result, his philosophy has exerted a unique influence on almost every form of knowledge in the West and it continues to be a subject of contemporary philosophical discussion. Little is known about his life. Aristotle was born in th ...
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Akrasia
Akrasia (; Greek , "lacking command" or "weakness", occasionally transliterated as acrasia or Anglicised as acrasy or acracy) is a lack of self-control, or acting against one's better judgment. The adjectival form is "akratic". Classical approaches The problem goes back at least as far as Plato. In Plato's '' Protagoras'' Socrates asks precisely how it is possible that, ''if'' one judges action A to be the best course of action, one would do anything other than A? In the dialogue ''Protagoras'', Socrates attests that akrasia does not exist, claiming "No one goes willingly toward the bad" (358d). If a person examines a situation and decides to act in the way he determines to be best, he will pursue this action, as the best course is also the good course, i.e. man's natural goal. An all-things-considered assessment of the situation will bring full knowledge of a decision's outcome and worth linked to well-developed principles of the good. A person, according to Socrates, never ...
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Necessary And Sufficient Condition
In logic and mathematics, necessity and sufficiency are terms used to describe a conditional or implicational relationship between two statements. For example, in the conditional statement: "If then ", is necessary for , because the truth of is guaranteed by the truth of (equivalently, it is impossible to have without ). Similarly, is sufficient for , because being true always implies that is true, but not being true does not always imply that is not true. In general, a necessary condition is one that must be present in order for another condition to occur, while a sufficient condition is one that produces the said condition. The assertion that a statement is a "necessary ''and'' sufficient" condition of another means that the former statement is true if and only if the latter is true. That is, the two statements must be either simultaneously true, or simultaneously false. In ordinary English (also natural language) "necessary" and "sufficient" indicate relations betw ...
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Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ...
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Geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a ''geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts. During the 19th century several discoveries enlarged dramatically the scope of geometry. One of the oldest such discoveries is Carl Friedrich Gauss' ("remarkable theorem") that asserts roughly that the Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space. This implies that surfaces can be studied ''intrinsically'', that is, as stand-alone spaces, and has been expanded into the theory of manifolds and Riemannian geometry. Later in the 19th century, it appeared that geometries ...
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Good Faith
In human interactions, good faith ( la, bona fides) is a sincere intention to be fair, open, and honest, regardless of the outcome of the interaction. Some Latin phrases have lost their literal meaning over centuries, but that is not the case with ''bona fides'', which is still widely used and interchangeable with its generally-accepted modern-day English translation of ''good faith''. It is an important concept within law and business. The opposed concepts are bad faith, ''mala fides'' (duplicity) and perfidy (pretense). In contemporary English, the usage of ''bona fides'' is synonymous with credentials and identity. The phrase is sometimes used in job advertisements, and should not be confused with the ''bona fide'' occupational qualifications or the employer's good faith effort, as described below. ''Bona fides'' ''Bona fides'' is a Latin phrase meaning "good faith". Its ablative case is ''bona fide'', meaning "in good faith", which is often used as an adjective to mean " ...
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Eunoia
In rhetoric, ''eunoia'' ( grc, εὔνοιᾰ, eúnoia, well mind; beautiful thinking) is the good will speakers cultivate between themselves and their audiences, a condition of receptivity. In Book VIII of the '' Nicomachean Ethics'', Aristotle uses the term to refer to the kind and benevolent feelings of good will a spouse has which form the basis for the ethical foundation of human life. Cicero translates with the Latin word . It is also a rarely used medical term referring to a state of normal mental health. ''Eunoia'' is the shortest English word containing all five main vowel graphemes. In popular culture *'' Eunoia'' is a work by poet Christian Bök consisting of five chapters, each one using only one vowel. *In the science-fiction television series '' Earth: Final Conflict'', Eunoia is the name of the native language of the Taelon race. Christian Bök was a consultant on that series and helped develop the language. *The debut album of math rock band Invalids. *In Dec ...
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Arete (moral Virtue)
''Arete'' (Greek: ) is a concept in ancient Greek thought that, in its most basic sense, refers to 'excellence' of any kind Liddell, H.G. & Scott, R. ''A Greek–English Lexicon'', 9th ed. (Oxford, 1940), s.v.br>—especially a person or thing's "full realization of potential or inherent function." The term may also refer to excellence in " moral virtue." The concept was also occasionally personified as a minor goddess, Arete (not to be confused with the mythological Queen Arete), who, together with sister Homonoia, formed the ''Praxidikai'' ('Exacters of Justice'). In its earliest appearance in Greek, this general notion of excellence was ultimately bound up with the notion of the fulfillment of purpose or function: the act of living up to one's full potential. A person of arete is of the highest effectiveness; they use all of their faculties—strength, bravery, and wit—to achieve real results. In the Homeric world, arete involves all of the abilities and potentialitie ...
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Ethos
Ethos ( or ) is a Greek word meaning "character" that is used to describe the guiding beliefs or ideals that characterize a community, nation, or ideology; and the balance between caution, and passion. The Greeks also used this word to refer to the power of music to influence emotions, behaviors, and even morals. Early Greek stories of Orpheus exhibit this idea in a compelling way. The word's use in rhetoric is closely based on the Greek terminology used by Aristotle in his concept of the three artistic proofs or modes of persuasion. It gives credit to the speaker, or the speaker is taking credit. Etymology and origin ''Ethos'' (, ; ''plurals:'' ''ethe'', ; ''ethea'', ) is a Greek word originally meaning "accustomed place" (as in "the habitats of horses/", ''Iliad'' 6.511, 15.268), "custom, habit", equivalent to Latin ''mores''. ''Ethos'' forms the root of ''ethikos'' (), meaning "morality, showing moral character". As an adjective in the neuter plural form ''ta ethika.'' Cu ...
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Rhetoric
Rhetoric () is the art of persuasion, which along with grammar and logic (or dialectic), is one of the three ancient arts of discourse. Rhetoric aims to study the techniques writers or speakers utilize to inform, persuade, or motivate particular audiences in specific situations. Aristotle defines rhetoric as "the faculty of observing in any given case the available means of persuasion" and since mastery of the art was necessary for victory in a case at law, for passage of proposals in the assembly, or for fame as a speaker in civic ceremonies, he calls it "a combination of the science of logic and of the ethical branch of politics". Rhetoric typically provides heuristics for understanding, discovering, and developing arguments for particular situations, such as Aristotle's three persuasive audience appeals: logos, pathos, and ethos. The five canons of rhetoric or phases of developing a persuasive speech were first codified in classical Rome: invention, arrangement, style ...
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Eudaimonia
Eudaimonia (Greek: εὐδαιμονία ; sometimes anglicized as eudaemonia or eudemonia, ) is a Greek word literally translating to the state or condition of 'good spirit', and which is commonly translated as 'happiness' or 'welfare'. In works of Aristotle, ''eudaimonia'' was the term for the highest human good in older Greek tradition. It is the aim of practical philosophy-prudence, including ethics and political philosophy, to consider and experience what this state really is, and how it can be achieved. It is thus a central concept in Aristotelian ethics and subsequent Hellenistic philosophy, along with the terms ''aretē'' (most often translated as 'virtue' or 'excellence') and ''phronesis'' ('practical or ethical wisdom'). Discussion of the links between ''ēthikē aretē'' (virtue of character) and ''eudaimonia'' (happiness) is one of the central concerns of ancient ethics, and a subject of much disagreement. As a result, there are many varieties of eudaimonism. Defi ...
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