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π Nicomachean Ethics
The Nicomachean Ethics (; Ancient Greek: αΌ¨ΞΈΞΉΞΊα½° ΞΞΉΞΊΞΏΞΌΞ¬ΟΡια, Δthika Nikomacheia) is the name normally given to Aristotle's best-known work on ethics. The work, which plays a pre-eminent role in defining Aristotelian ethics, consists of ten books, originally separate scrolls, and is understood to be based on notes from his lectures at the Lyceum. The title is often assumed to refer to his son Nicomachus, to whom the work was dedicated or who may have edited it (although his young age makes this less likely). Alternatively, the work may have been dedicated to his father, who was also called Nicomachus.
The theme of the work is a Socratic question previously explored in the works of Plato, Aristotle's friend and teacher, of how men should best live. In his Metaphysics, Aristotle described how Socrates, the friend and teacher of Plato, had turned philosophy to human questions, whereas pre-Socratic philosophy had only been theoretical. Ethics, as now separated out for discussion by Aristotle, is practical rather than theoretical, in the original Aristotelian senses of these terms. In other words, it is not only a contemplation about good living, because it also aims to create good living. It is therefore connected to Aristotle's other practical work, the Politics, which similarly aims at people becoming good. Ethics is about how individuals should best live, while the study of politics is from the perspective of a law-giver, looking at the good of a whole community.
The Nicomachean Ethics is widely considered one of the most important historical philosophical works, and had an important impact upon the European Middle Ages, becoming one of the core works of medieval philosophy. It therefore indirectly became critical in the development of all modern philosophy as well as European law and theology. Many parts of the Nicomachean Ethics are well known in their own right, within different fields. In the Middle Ages, a synthesis between Aristotelian ethics and Christian theology became widespread, in Europe as introduced by Albertus Magnus. While various philosophers had influenced Christendom since its earliest times, in Western Europe Aristotle became "the Philosopher". The most important version of this synthesis was that of Thomas Aquinas. Other more "Averroist" Aristotelians such as Marsilius of Padua were controversial but also influential. (Marsilius is for example sometimes said to have influenced the controversial English political reformer Thomas Cromwell.)
A critical period in the history of this work's influence is at the end of the Middle Ages, and beginning of modernity, when several authors such as Francis Bacon and Thomas Hobbes, argued forcefully and largely successfully that the medieval Aristotelian tradition in practical thinking had become a great impediment to philosophy in their time. However, in more recent generations, Aristotle's original works (if not those of his medieval followers) have once again become an important source. More recent authors influenced by this work include Alasdair MacIntyre, G. E. M. Anscombe, Hans-Georg Gadamer, Martha Nussbaum and Avital Ronell.
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- "Nicomachean Ethics" | 2020-04-24 | 282 Upvotes 158 Comments
π Edward Tufte
Edward Rolf Tufte (; born March 14, 1942) is an American statistician and professor emeritus of political science, statistics, and computer science at Yale University. He is noted for his writings on information design and as a pioneer in the field of data visualization.
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- "Edward Tufte" | 2009-12-26 | 12 Upvotes 2 Comments
π The Scottish Book
The Scottish Book (Polish: KsiΔga Szkocka) was a thick notebook used by mathematicians of the LwΓ³w School of Mathematics in Poland for jotting down problems meant to be solved. The notebook was named after the "Scottish CafΓ©" where it was kept.
Originally, the mathematicians who gathered at the cafe would write down the problems and equations directly on the cafe's marble table tops, but these would be erased at the end of each day, and so the record of the preceding discussions would be lost. The idea for the book was most likely originally suggested by Stefan Banach, or his wife, Εucja, who purchased a large notebook and left it with the proprietor of the cafe.
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- "The Scottish Book" | 2019-12-09 | 62 Upvotes 8 Comments
π Reservoir computing
Reservoir computing is a framework for computation that may be viewed as an extension of neural networks. Typically an input signal is fed into a fixed (random) dynamical system called a reservoir and the dynamics of the reservoir map the input to a higher dimension. Then a simple readout mechanism is trained to read the state of the reservoir and map it to the desired output. The main benefit is that training is performed only at the readout stage and the reservoir is fixed. Liquid-state machines and echo state networks are two major types of reservoir computing. One important feature of this system is that it can use the computational power of naturally available systems which is different from the neural networks and it reduces the computational cost.
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- "Reservoir computing" | 2018-10-18 | 99 Upvotes 20 Comments
π Zenzizenzizenzic
Zenzizenzizenzic is an obsolete form of mathematical notation representing the eighth power of a number (that is, the zenzizenzizenzic of x is x8), dating from a time when powers were written out in words rather than as superscript numbers. This term was suggested by Robert Recorde, a 16th-century Welsh writer of popular mathematics textbooks, in his 1557 work The Whetstone of Witte (although his spelling was zenzizenzizenzike); he wrote that it "doeth represent the square of squares squaredly".
At the time Recorde proposed this notation, there was no easy way of denoting the powers of numbers other than squares and cubes. The root word for Recorde's notation is zenzic, which is a German spelling of the medieval Italian word censo, meaning "squared". Since the square of a square of a number is its fourth power, Recorde used the word zenzizenzic (spelled by him as zenzizenzike) to express it. Some of the terms had prior use in Latin "zenzicubicus", "zensizensicus" and "zensizenzum". Similarly, as the sixth power of a number is equal to the square of its cube, Recorde used the word zenzicubike to express it; a more modern spelling, zenzicube, is found in Samuel Jeake's Logisticelogia. Finally, the word zenzizenzizenzic denotes the square of the square of a number's square, which is its eighth power: in modern notation,
Recorde proposed three mathematical terms by which any power (that is, index or exponent) greater than 1 could be expressed: zenzic, i.e. squared; cubic; and sursolid, i.e. raised to a prime number greater than three, the smallest of which is five. Sursolids were as follows: 5 was the first; 7, the second; 11, the third; 13, the fourth; etc.
Therefore, a number raised to the power of six would be zenzicubic, a number raised to the power of seven would be the second sursolid, hence bissursolid (not a multiple of two and three), a number raised to the twelfth power would be the "zenzizenzicubic" and a number raised to the power of ten would be the square of the (first) sursolid. The fourteenth power was the square of the second sursolid, and the twenty-second was the square of the third sursolid.
Curiously, Jeake's text appears to designate a written exponent of 0 as being equal to an "absolute number, as if it had no Mark", thus using the notation x0 to refer to x alone, while a written exponent of 1, in his text, denotes "the Root of any number", thus using the notation x1 to refer to what is now known to be x0.5.
The word, as well as the system, is obsolete except as a curiosity; the Oxford English Dictionary (OED) has only one citation for it. As well as being a mathematical oddity, it survives as a linguistic oddity: zenzizenzizenzic has more Zs than any other word in the OED.
Samuel Jeake the Younger gives zenzizenzizenzizenzike (the square of the square of the square of the square, or 16th power) in a table in A Compleat Body of Arithmetick:
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- "Zenzizenzizenzic" | 2016-07-21 | 258 Upvotes 89 Comments
π Langton's Ant
Langton's ant is a two-dimensional universal Turing machine with a very simple set of rules but complex emergent behavior. It was invented by Chris Langton in 1986 and runs on a square lattice of black and white cells. The universality of Langton's ant was proven in 2000. The idea has been generalized in several different ways, such as turmites which add more colors and more states.
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- "Langtonβs ant" | 2023-05-17 | 102 Upvotes 23 Comments
- "Langton's Ant" | 2019-06-07 | 115 Upvotes 25 Comments
- "Langton's ant" | 2014-09-03 | 118 Upvotes 42 Comments
- "Langton's ant" | 2011-02-17 | 176 Upvotes 20 Comments
π World Game
World Game, sometimes called the World Peace Game, is an educational simulation developed by Buckminster Fuller in 1961 to help create solutions to overpopulation and the uneven distribution of global resources. This alternative to war games uses Fuller's Dymaxion map and requires a group of players to cooperatively solve a set of metaphorical scenarios, thus challenging the dominant nation-state perspective with a more holistic "total world" view. The idea was to "make the world work for 100% of humanity in the shortest possible time through spontaneous cooperation without ecological damage or disadvantage to anyone," thus increasing the quality of life for all people.
π Kostroma Moose Farm
Kostroma Moose Farm (Russian: ΠΠΎΡΡΡΠΎΠΌΡΠΊΠ°ΜΡ Π»ΠΎΡΠ΅ΡΠ΅ΜΡΠΌΠ°) is an experimental farm in Kostroma Oblast, Russia, where a herd of moose is kept, primarily for milk production; the farm supplies moose's milk to a nearby sanitorium. It is located near the village of Sumarokovo in Krasnoselsky District of Kostroma Oblast, some 25Β km east of the city of Kostroma.
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- "Kostroma Moose Farm" | 2019-08-18 | 30 Upvotes 11 Comments
π Valonia ventricosa
Valonia ventricosa, also known as bubble algae or sailor's eyeballs is a species of alga found in oceans throughout the world in tropical and subtropical regions. It is one of the largest β if not the largest β unicellular organisms.
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- "Valonia ventricosa" | 2019-07-25 | 132 Upvotes 39 Comments
π Calling card
A visiting card, also known as a calling card, is a small card used for social purposes. Before the 18th century, visitors making social calls left handwritten notes at the home of friends who were not at home. By the 1760s, the upper classes in France and Italy were leaving printed visiting cards decorated with images on one side and a blank space for hand-writing a note on the other. The style quickly spread across Europe and to the United States. As printing technology improved, elaborate color designs became increasingly popular. However, by the late 1800s, simpler styles became more common.
By the 19th century, men and women needed personalized calling or visiting cards to maintain their social status or to move up in society. These small cards, about the size of a modern-day business card, usually featured the name of the owner, and sometimes an address. Calling cards were left at homes, sent to individuals, or exchanged in person for various social purposes. Knowing and following calling card βrulesβ signaled oneβs status and intentions.
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- "Calling card" | 2017-03-25 | 45 Upvotes 44 Comments