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Zeno's paradoxes

Zeno's paradoxes
Zeno's arguments are perhaps the first examples of a method of proof called reductio ad absurdum also known as proof by contradiction. They are also credited as a source of the dialectic method used by Socrates.[3] Some mathematicians and historians, such as Carl Boyer, hold that Zeno's paradoxes are simply mathematical problems, for which modern calculus provides a mathematical solution.[4] Some philosophers, however, say that Zeno's paradoxes and their variations (see Thomson's lamp) remain relevant metaphysical problems.[5][6][7] The origins of the paradoxes are somewhat unclear. Paradoxes of motion[edit] Achilles and the tortoise[edit] Distance vs. time, assuming the tortoise to run at Achilles' half speed Dichotomy paradox[edit] Suppose Homer wants to catch a stationary bus. The resulting sequence can be represented as: This description requires one to complete an infinite number of tasks, which Zeno maintains is an impossibility. There are two versions of the dichotomy paradox. Related:  staging

Knowledge engineering Knowledge engineering (KE) was defined in 1983 by Edward Feigenbaum, and Pamela McCorduck as follows: KE is an engineering discipline that involves integrating knowledge into computer systems in order to solve complex problems normally requiring a high level of human expertise.[1] It is used in many computer science domains such as artificial intelligence,[2][3] including databases, data mining, bioinformatics, expert systems, decision support systems and geographic information systems. Knowledge engineering is also related to mathematical logic, as well as strongly involved in cognitive science and socio-cognitive engineering where the knowledge is produced by socio-cognitive aggregates (mainly humans) and is structured according to our understanding of how human reasoning and logic works. Various activities of KE specific for the development of a knowledge-based system: Being still more art than engineering, KE is not as neat as the above list in practice. The influence of Ontology 6.

Socrates Socrates (/ˈsɒkrətiːz/;[2] Greek: Σωκράτης [sɔːkrátɛːs], Sōkrátēs; 470/469 – 399 BC)[1] was a classical Greek (Athenian) philosopher credited as one of the founders of Western philosophy. He is an enigmatic figure known chiefly through the accounts of classical writers, especially the writings of his students Plato and Xenophon and the plays of his contemporary Aristophanes. Plato's dialogues are among the most comprehensive accounts of Socrates to survive from antiquity, though it is unclear the degree to which Socrates himself is "hidden behind his 'best disciple', Plato".[3] Through his portrayal in Plato's dialogues, Socrates has become renowned for his contribution to the field of ethics, and it is this Platonic Socrates who lends his name to the concepts of Socratic irony and the Socratic method, or elenchus. Socratic problem Nothing written by Socrates remains extant. Socrates as a figure Socrates as a philosopher Biography Early life Military service Arrest of Leon Trial and death Notes

DIKW Pyramid The DIKW Pyramid, also known variously as the "DIKW Hierarchy", "Wisdom Hierarchy", the "Knowledge Hierarchy", the "Information Hierarchy", and the "Knowledge Pyramid",[1] refers loosely to a class of models[2] for representing purported structural and/or functional relationships between data, information, knowledge, and wisdom. "Typically information is defined in terms of data, knowledge in terms of information, and wisdom in terms of knowledge".[1] History[edit] "The presentation of the relationships among data, information, knowledge, and sometimes wisdom in a hierarchical arrangement has been part of the language of information science for many years. Data, Information, Knowledge, Wisdom[edit] In the same year as Ackoff presented his address, information scientist Anthony Debons and colleagues introduced an extended hierarchy, with "events", "symbols", and "rules and formulations" tiers ahead of data.[7][16] Data, Information, Knowledge[edit] Description[edit] Data[edit] Structural vs.

Stoicism Philosophical system Stoicism is a school of Hellenistic philosophy founded by Zeno of Citium in Athens in the early 3rd century BCE. It is a philosophy of personal virtue ethics informed by its system of logic and its views on the natural world, asserting that the practice of virtue is both necessary and sufficient to achieve eudaimonia (happiness, lit. 'good spiritedness'): one flourishes by living an ethical life. Stoicism flourished throughout the Roman and Greek world until the 3rd century CE, and among its adherents was Emperor Marcus Aurelius. History[edit] The name Stoicism derives from the Stoa Poikile (Ancient Greek: ἡ ποικίλη στοά), or "painted porch", a colonnade decorated with mythic and historical battle scenes on the north side of the Agora in Athens where Zeno of Citium and his followers gathered to discuss their ideas, near the end of the 4th century BCE.[4] Unlike the Epicureans, Zeno chose to teach his philosophy in a public space. Scholars[who?] Logic[edit]

The Problem with the Data-Information-Knowledge-Wisdom Hierarchy - David Weinberger by David Weinberger | 9:00 AM February 2, 2010 The data-information-knowledge-wisdom hierarchy seemed like a really great idea when it was first proposed. But its rapid acceptance was in fact a sign of how worried we were about the real value of the information systems we had built at such great expense. What looks like a logical progression is actually a desperate cry for help. The DIKW hierarchy (as it came to be known) was brought to prominence by Russell Ackoff in his address accepting the presidency of the International Society for General Systems Research in 1989. But the actual first recorded instance of it was in 1934: Where is the Life we have lost in living? Those lines come from the poem “The Rock” by T.S. The DIKW sequence made immediate sense because it extends what every Computer Science 101 class learns: information is a refinement of mere data. But, the info-to-knowledge move is far more problematic than the data-to-info one. So, what is “knowledge” in the DIKW pyramid?

Epicureanism Epicureanism is a system of philosophy based upon the teachings of Epicurus, founded around 307 BC. Epicurus was an atomic materialist, following in the steps of Democritus. His materialism led him to a general attack on superstition and divine intervention. Following Aristippus—about whom very little is known—Epicurus believed that what he called "pleasure" is the greatest good, but the way to attain such pleasure is to live modestly and to gain knowledge of the workings of the world and the limits of one's desires. This led one to attain a state of tranquility (ataraxia) and freedom from fear, as well as absence of bodily pain (aponia). Epicureanism was originally a challenge to Platonism, though later it became the main opponent of Stoicism. Some writings by Epicurus have survived. History[edit] The early Christian writer Lactantius criticizes Epicurus at several points throughout his Divine Institutes. Religion[edit] Philosophy[edit] "Live unknown was one of [key] maxims. Ethics[edit]

Five Best Mind Mapping Tools Zeno of Elea Zeno of Elea (/ˈziːnoʊ əv ˈɛliə/; Greek: Ζήνων ὁ Ἐλεάτης; c. 490 – c. 430 BC) was a pre-Socratic Greek philosopher of southern Italy and a member of the Eleatic School founded by Parmenides. Aristotle called him the inventor of the dialectic.[1] He is best known for his paradoxes, which Bertrand Russell has described as "immeasurably subtle and profound".[2] Life[edit] Other perhaps less reliable details of Zeno's life are given by Diogenes Laërtius in his Lives and Opinions of Eminent Philosophers,[5] where it is reported that he was the son of Teleutagoras, but the adopted son of Parmenides, was "skilled to argue both sides of any question, the universal critic," and that he was arrested and perhaps killed at the hands of a tyrant of Elea. According to Plutarch, Zeno attempted to kill the tyrant Demylus, and failing to do so, "with his own teeth bit off his tongue, he spit it in the tyrant’s face Works[edit] Zeno's paradoxes[edit] See also[edit] Notes[edit] References[edit]

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