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Pavel Tichý
Pavel Tichý (; 18 February 1936, Brno, Czechoslovakia – 26 October 1994, Dunedin, New Zealand) was a Czech logician, philosopher and mathematician. He worked in the field of intensional logic and founded transparent intensional logic, an original theory of the logical analysis of natural languages – the theory is devoted to the problem of saying exactly what it is that we learn, know and can communicate when we come to understand what a sentence means. He spent roughly 25 years working on it. His main work is a book ''The Foundations of Frege's Logic'', published by Walter de Gruyter in 1988. Biography Tichý was born in Brno in 1936. His father was an insurance clerk. His family lived in Zlín until 1948 when they moved to Vsetín. At school he was already a brilliant student. He also liked playing music of Jaroslav Ježek on the piano. After finishing studies in Vsetín he moved to Prague followed by his parents. Tichý graduated in 1959 at Charles University in ...
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Brno
Brno ( , ; ) is a Statutory city (Czech Republic), city in the South Moravian Region of the Czech Republic. Located at the confluence of the Svitava (river), Svitava and Svratka (river), Svratka rivers, Brno has about 403,000 inhabitants, making it the second-largest city in the Czech Republic after the capital, Prague, and one of the List of cities in the European Union by population within city limits, 100 largest cities of the European Union. The Brno metropolitan area has approximately 730,000 inhabitants. Brno is the former capital city of Moravia and the political and cultural hub of the South Moravian Region. It is the centre of the Judiciary of the Czech Republic, Czech judiciary, with the seats of the Constitutional Court of the Czech Republic, Constitutional Court, the Supreme Court of the Czech Republic, Supreme Court, the Supreme Administrative Court of the Czech Republic, Supreme Administrative Court, and the Supreme Public Prosecutor's Office, and a number of state ...
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Exeter University
The University of Exeter is a research university in the West Country of England, with its main campus in Exeter, Devon. Its predecessor institutions, St Luke's College, Exeter School of Science, Exeter School of Art, and the Camborne School of Mines were established in 1838, 1855, 1863, and 1888 respectively. These institutions later formed the University of Exeter after receiving its royal charter in 1955. In post-nominals, the University of Exeter is abbreviated as ''Exon.'' (from the Latin '' Exoniensis''), and is the suffix given to honorary and academic degrees from the university. The university has four campuses: Streatham and St Luke's (both of which are in Exeter); and Truro and Penryn (both of which are in Cornwall). The university is primarily located in the city of Exeter, where it is the principal higher education institution. Streatham is the largest campus containing many of the university's administrative buildings. The Penryn campus is maintained in conju ...
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Postulate
An axiom, postulate, or assumption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. The word comes from the Ancient Greek word (), meaning 'that which is thought worthy or fit' or 'that which commends itself as evident'. The precise definition varies across fields of study. In classic philosophy, an axiom is a statement that is so evident or well-established, that it is accepted without controversy or question. In modern logic, an axiom is a premise or starting point for reasoning. In mathematics, an ''axiom'' may be a " logical axiom" or a " non-logical axiom". Logical axioms are taken to be true within the system of logic they define and are often shown in symbolic form (e.g., (''A'' and ''B'') implies ''A''), while non-logical axioms are substantive assertions about the elements of the domain of a specific mathematical theory, for example ''a'' + 0 = ''a'' in integer arithmetic. Non ...
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Semantic
Semantics is the study of linguistic Meaning (philosophy), meaning. It examines what meaning is, how words get their meaning, and how the meaning of a complex expression depends on its parts. Part of this process involves the distinction between sense and reference. Sense is given by the ideas and concepts associated with an expression while reference is the object to which an expression points. Semantics contrasts with syntax, which studies the rules that dictate how to create grammatically correct sentences, and pragmatics, which investigates how people use language in communication. Lexical semantics is the branch of semantics that studies word meaning. It examines whether words have one or several meanings and in what lexical relations they stand to one another. Phrasal semantics studies the meaning of sentences by exploring the phenomenon of compositionality or how new meanings can be created by arranging words. Formal semantics (natural language), Formal semantics relies o ...
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Turing Machine
A Turing machine is a mathematical model of computation describing an abstract machine that manipulates symbols on a strip of tape according to a table of rules. Despite the model's simplicity, it is capable of implementing any computer algorithm. The machine operates on an infinite memory tape divided into discrete mathematics, discrete cells, each of which can hold a single symbol drawn from a finite set of symbols called the Alphabet (formal languages), alphabet of the machine. It has a "head" that, at any point in the machine's operation, is positioned over one of these cells, and a "state" selected from a finite set of states. At each step of its operation, the head reads the symbol in its cell. Then, based on the symbol and the machine's own present state, the machine writes a symbol into the same cell, and moves the head one step to the left or the right, or halts the computation. The choice of which replacement symbol to write, which direction to move the head, and whet ...
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Docent
The term "docent" is derived from the Latin word , which is the third-person plural present active indicative of ('to teach, to lecture'). Becoming a docent is often referred to as habilitation or doctor of science and is an academic qualification that shows that the holder is qualified to be employed at the level of associate or full professor. The title of "docent" is conferred by some European universities to denote a specific academic appointment within a set structure of academic ranks at or below the full professor rank, similar to a British readership, a French (MCF), and equal to or above the title of ''assistant professor''. Docent is the highest academic title in several countries, and the qualifying criteria are research output that corresponds to 3–5 doctoral dissertations, supervision of PhD students, and experience in teaching at the undergraduate and graduate level. Docent is also used at some (mainly German) universities generically for a person who h ...
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Type Theory
In mathematics and theoretical computer science, a type theory is the formal presentation of a specific type system. Type theory is the academic study of type systems. Some type theories serve as alternatives to set theory as a foundation of mathematics. Two influential type theories that have been proposed as foundations are: * Typed λ-calculus of Alonzo Church * Intuitionistic type theory of Per Martin-Löf Most computerized proof-writing systems use a type theory for their foundation. A common one is Thierry Coquand's Calculus of Inductive Constructions. History Type theory was created to avoid paradoxes in naive set theory and formal logic, such as Russell's paradox which demonstrates that, without proper axioms, it is possible to define the set of all sets that are not members of themselves; this set both contains itself and does not contain itself. Between 1902 and 1908, Bertrand Russell proposed various solutions to this problem. By 1908, Russell arrive ...
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Gödel's Incompleteness Theorems
Gödel's incompleteness theorems are two theorems of mathematical logic 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 Mathematical proof, proving all truths about the arithmetic of natural numbers. For any such consistent formal system, there will always be statements about natural numbers that are true, but that are unprovable within the system. The second incompleteness theorem, an extension of the first, shows that the system cannot demonstrate its own consistency. Employing a Ca ...
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Kurt Gödel
Kurt Friedrich Gödel ( ; ; April 28, 1906 – January 14, 1978) was a logician, mathematician, and philosopher. Considered along with Aristotle and Gottlob Frege to be one of the most significant logicians in history, Gödel profoundly influenced scientific and philosophical thinking in the 20th century (at a time when Bertrand Russell,For instance, in their "Principia Mathematica' (''Stanford Encyclopedia of Philosophy'' edition). Alfred North Whitehead, and David Hilbert were using logic and set theory to investigate the foundations of mathematics), building on earlier work by Frege, Richard Dedekind, and Georg Cantor. Gödel's discoveries in the foundations of mathematics led to the proof of his completeness theorem in 1929 as part of his dissertation to earn a doctorate at the University of Vienna, and the publication of Gödel's incompleteness theorems two years later, in 1931. The incompleteness theorems address limitations of formal axiomatic systems. In parti ...
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List Of Doctoral Degrees Awarded By Country
The list of doctoral degrees awarded by country includes all doctoral degrees worldwide. Argentina * Doctor of Applied Science * Doctor of Basic Science * Doctor of Science * Doctor of Arts * Doctor of Administration * Doctor of Chemistry * Doctor of Informatics * Doctor of Criminology * Doctor of Design * Doctor of Education * Doctor of Engineering * Doctor of Law * Doctor of Literature * Doctor of Medicine * Doctor of Music * Doctor of Philosophy * Doctor of Physical Education * Doctor of Psychology * Doctor of Veterinary Medicine * Doctor of Social Science Czech Republic and Slovakia The system of Czech and Slovak doctoral degrees has been inherited from Czechoslovakia and is for a large part identical. Doctoral degrees gained after graduation * Doctor of medicine (Medicinæ universæ doctor – MUDr.) * Doctor of dental medicine (Medicinæ dentium doctor – MDDr.) * Doctor of veterinary medicine (Medicinæ veterinariæ doctor – MVDr.) These degrees are ...
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Charles University In Prague
Charles University (CUNI; , UK; ; ), or historically as the University of Prague (), is the largest university in the Czech Republic. It is one of the oldest universities in the world in continuous operation, the oldest university north of the Alps and east of Paris. Today, the university consists of 17 faculties located in Prague, Hradec Králové, and Plzeň. History Medieval university (1349–1419) The establishment of a medieval university in Prague was inspired by Holy Roman Emperor Charles IV. He requested his friend and ally, Pope Clement VI, to create the university. On 26 January 1347, the pope issued the bull establishing a university in Prague, modeled on the University of Paris, with all four faculties, including theology. On 7 April 1348 Charles, the king of Bohemia, gave to the established university privileges and immunities from the secular power in a Golden Bull and on 14 January 1349 he repeated that as the King of the Romans. Most Czech sources sinc ...
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Velvet Revolution
The Velvet Revolution () or Gentle Revolution () was a non-violent transition of power in what was then Czechoslovakia, occurring from 17 November to 28 November 1989. Popular demonstrations against the one-party government of the Communist Party of Czechoslovakia included students and older dissidents. The result was the end of Czechoslovak Socialist Republic, 41 years of one-party rule in Czechoslovakia, and the subsequent dismantling of the command economy and conversion to a parliamentary republic. On 17 November 1989 (International Students' Day), riot police suppressed a Student activism, student demonstration in Prague. The event marked the 50th anniversary of a violently suppressed demonstration against the Nazi storming of Prague University in 1939 where 1,200 students were arrested and 9 killed (see International Students' Day#Origin, Origin of International Students' Day). The 1989 event sparked a series of demonstrations from 17 November to late December and turned ...
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