Ignorabimus
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Ignorabimus
The Latin maxim , meaning "we do not know and will not know", represents the idea that scientific knowledge is limited. It was popularized by Emil du Bois-Reymond, a German physiologist, in his 1872 address ("The Limits of Science"). Seven "World Riddles" Emil du Bois-Reymond first used the words and at the close of his keynote address to the 1872 Congress of German Scientists and Physicians. As he saw it, science was bounded by two limits: the ultimate nature of matter and the enigma of consciousness. Eight years later, in a speech before the Prussian Academy of Sciences, he expanded his list of conundrums to seven "world riddles" or "shortcomings" of science. Three of these he declared to be " transcendent", or permanently unknowable: "1. the ultimate nature of matter and energy, 2. the origin of motion, ... 5. the origin of simple sensations." Hilbert's reaction David Hilbert, a widely-respected German mathematician, suggested that such a conceptualization of human ...
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Hilbert's Problems
Hilbert's problems are 23 problems in mathematics published by German mathematician David Hilbert in 1900. They were all unsolved at the time, and several proved to be very influential for 20th-century mathematics. Hilbert presented ten of the problems (1, 2, 6, 7, 8, 13, 16, 19, 21, and 22) at the Paris conference of the International Congress of Mathematicians, speaking on August 8 at the University of Paris, Sorbonne. The complete list of 23 problems was published later, in English translation in 1902 by Mary Frances Winston Newson in the ''Bulletin of the American Mathematical Society''. Earlier publications (in the original German) appeared in and Nature and influence of the problems Hilbert's problems ranged greatly in topic and precision. Some of them, like the 3rd problem, which was the first to be solved, or the 8th problem (the Riemann hypothesis), which still remains unresolved, were presented precisely enough to enable a clear affirmative or negative answer ...
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David Hilbert
David Hilbert (; ; 23 January 1862 – 14 February 1943) was a German mathematician, one of the most influential mathematicians of the 19th and early 20th centuries. Hilbert discovered and developed a broad range of fundamental ideas in many areas, including invariant theory, the calculus of variations, commutative algebra, algebraic number theory, the foundations of geometry, spectral theory of operators and its application to integral equations, mathematical physics, and the foundations of mathematics (particularly proof theory). Hilbert adopted and defended Georg Cantor's set theory and transfinite numbers. In 1900, he presented a collection of problems that set the course for much of the mathematical research of the 20th century. Hilbert and his students contributed significantly to establishing rigor and developed important tools used in modern mathematical physics. Hilbert is known as one of the founders of proof theory and mathematical logic. Life Early life and edu ...
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Ignorance Management
Ignorance management is a knowledge management practice that addresses the concept of ignorance in organizations. Overview Logically, ignorance management is based upon the concept of ignorance. John Israilidis, Russell Lock, and Louise Cooke of Loughborough University described ignorance management as: The key principle of this theory is that knowledge management (KM) could better be seen as ignorance management, due to the fact that it is impossible for someone to comprehend and understand everything in a complete way. The only real wisdom is in recognising the limits and extent of one's knowledge, and therefore KM is essentially a matter of sharing the extent of one's ignorance with other people, and thus learning together. This process of knowing what is needed to know, and also acknowledging the power of understanding the unknown, could develop a tacit understanding and could improve both short-term opportunistic value capture and longer term business sustainability. Resea ...
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Unknown Unknown
"There are unknown unknowns" is a phrase from a response United States Secretary of Defense Donald Rumsfeld gave to a question at a U.S. Department of Defense (DoD) news briefing on February 12, 2002, about the lack of evidence linking the government of Iraq with the supply of weapons of mass destruction to terrorist groups. Rumsfeld stated: The statement became the subject of much commentary. In ''The Decision Book'', author Mikael Krogerus refers to it as the "Rumsfeld matrix". The statement also features in a 2013 documentary film, ''The Unknown Known'', directed by Errol Morris. Known unknowns refers to "risks you are aware of, such as canceled flights," whereas unknown unknowns are risks that come from situations that are so unexpected that they would not be considered. Origins Rumsfeld's statement brought attention to the concepts of known knowns, known unknowns, and unknown unknowns, but national security and intelligence professionals have long used an analysis techn ...
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Emil Du Bois-Reymond
Emil Heinrich du Bois-Reymond (7 November 181826 December 1896) was a German physician and physiologist, the co-discoverer of nerve action potential, and the developer of experimental electrophysiology. Life Du Bois-Reymond was born in Berlin and spent his working life there. One of his younger brothers was the mathematician Paul du Bois-Reymond (1831–1889). His father was from Neuchâtel, and his mother was a Berliner of Huguenot origin. Educated first at the French College in Berlin, du Bois-Reymond enrolled in the University of Berlin in 1838. He seems to have been uncertain at first as to the topic of his studies, for he was a student of the renowned ecclesiastical historian August Neander, and dallied with geology and physics, but eventually began to study medicine with such zeal and success as to attract the notice of Johannes Peter Müller (1801–1858), a well-known professor of anatomy and physiology. Müller's earlier studies had been distinctly physiological, but ...
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Strong Agnosticism
Agnosticism is the view or belief that the existence of God, of the divine or the supernatural is unknown or unknowable. (page 56 in 1967 edition) Another definition provided is the view that "human reason is incapable of providing sufficient rational grounds to justify either the belief that God exists or the belief that God does not exist." The English biologist Thomas Henry Huxley coined the word ''agnostic'' in 1869, and said "It simply means that a man shall not say he knows or believes that which he has no scientific grounds for professing to know or believe." Earlier thinkers, however, had written works that promoted agnostic points of view, such as Sanjaya Belatthaputta, a 5th-century BCE Indian philosopher who expressed agnosticism about any afterlife;Bhaskar (1972). and Protagoras, a 5th-century BCE Greek philosopher who expressed agnosticism about the existence of "the gods". Defining agnosticism Being a scientist, above all else, Huxley presented agnostic ...
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Transcendence (philosophy)
In philosophy, transcendence is the basic ground concept from the word's literal meaning (from Latin), of climbing or going beyond, albeit with varying connotations in its different historical and cultural stages. It includes philosophies, systems, and approaches that describe the fundamental structures of being, not as an ontology (theory of being), but as the framework of emergence and validation of knowledge of being. "Transcendental" is a word derived from the scholastic, designating the extra-categorical attributes of beings. Caygill, Howard. ''A Kant Dictionary''. (Blackwell Philosopher Dictionaries), Blackwell Publishing Ltd., 2000, p. 398 Religious definition In religion, transcendence refers to the aspect of God's nature and power which is wholly independent of the material universe, beyond all physical laws. This is contrasted with immanence, where a god is said to be fully present in the physical world and thus accessible to creatures in various ways. In religious exp ...
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Agnosticism
Agnosticism is the view or belief that the existence of God, of the divine or the supernatural is unknown or unknowable. (page 56 in 1967 edition) Another definition provided is the view that "human reason is incapable of providing sufficient rational grounds to justify either the belief that God exists or the belief that God does not exist." The English biologist Thomas Henry Huxley coined the word ''agnostic'' in 1869, and said "It simply means that a man shall not say he knows or believes that which he has no scientific grounds for professing to know or believe." Earlier thinkers, however, had written works that promoted agnostic points of view, such as Sanjaya Belatthaputta, a 5th-century BCE Indian philosopher who expressed agnosticism about any afterlife;Bhaskar (1972). and Protagoras, a 5th-century BCE Greek philosopher who expressed agnosticism about the existence of "the gods". Defining agnosticism Being a scientist, above all else, Huxley presented agnos ...
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Gödel's Incompleteness Theorems
Gödel's incompleteness theorems are two theorems of mathematical logic Mathematical logic is the study of logic, formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory. Research in mathematical logic commonly addresses the mathematical properties of for ... that are concerned with the limits of in formal axiomatic theories. These results, published by Kurt Gödel in 1931, are important both in mathematical logic and in the philosophy of mathematics. The theorems are widely, but not universally, interpreted as showing that Hilbert's program to find a complete and consistent set of axioms for all mathematics is impossible. The first incompleteness theorem states that no consistency, consistent system of axioms whose theorems can be listed by an effective procedure (i.e., an algorithm) is capable of proving all truths about the arithmetic of natural numbers. For any such consistent formal system, there will always b ...
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I Know That I Know Nothing
"I know that I know nothing" is a saying derived from Plato's account of the Greek philosopher Socrates: ''"For I was conscious that I knew practically nothing..."'' (Plato, Apology 22d, translated by Harold North Fowler, 1966). Socrates himself was never recorded as having said this phrase, and scholars generally agree that Socrates only ever asserted that he ''believed that he knew nothing'', having never claimed that he ''knew that he knew nothing''. It is also sometimes called the Socratic paradox, although this name is often instead used to refer to other seemingly paradoxical claims made by Socrates in Plato's dialogues (most notably, Socratic intellectualism and the Socratic fallacy). This saying is also connected or conflated with the answer to a question Socrates (according to Xenophon) or Chaerephon (according to Plato) is said to have posed to the Pythia, the Oracle of Delphi, in which the oracle stated something to the effect of "Socrates is the wisest person in Athen ...
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Acatalepsy
In philosophy, acatalepsy (from the Greek ἀκαταληψία "inability to comprehend" from alpha privative and καταλαμβάνειν, "to seize") is incomprehensibleness, or the impossibility of comprehending or conceiving a thing. It is the antithesis of the Stoic doctrine of katalepsis (i.e., the ability to apprehend).George Henry Lewes, 1863, ''The biographical history of philosophy'', Volume 1, page 297 According to the Stoics, katalepsis was true perception, but to the Pyrrhonists and Academic Skeptics, no perception could be known to be true. All perceptions were thus acataleptic, i.e. what, if any, conformity between the object and the perception of that object was unknown and, for the Academic Skeptics, could never be known. For the Academic Skeptics, acatalepsy meant that human knowledge never amounts to certainty, but only to plausibility. For the Pyrrhonists it meant that knowledge was limited to the ''phantasiai'' (typically translated as "appearances," m ...
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William James
William James (January 11, 1842 – August 26, 1910) was an American philosopher, historian, and psychologist, and the first educator to offer a psychology course in the United States. James is considered to be a leading thinker of the late 19th century, one of the most influential philosophers of the United States, and the "Father of American psychology". Along with Charles Sanders Peirce, James established the philosophical school known as pragmatism, and is also cited as one of the founders of functional psychology. A ''Review of General Psychology'' analysis, published in 2002, ranked James as the 14th most eminent psychologist of the 20th century. A survey published in ''American Psychologist'' in 1991 ranked James's reputation in second place, after Wilhelm Wundt, who is widely regarded as the founder of experimental psychology.
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