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47 relations: A New Kind of Science, Alan Turing, American Mathematical Monthly, Ancient Greece, Arabian Peninsula, Aristotle, Cambridge, Charles Sanders Peirce, China, Church–Turing thesis, Cognitive bias, Computational mathematics, Empirical evidence, Empirical research, Entscheidungsproblem, Et cetera, Euclid, Eugene Wigner, Foundations of mathematics, Function (mathematics), Geometry, Gregory Chaitin, Hilary Putnam, Imre Lakatos, India, Interactive computation, Karl Popper, Kurt Gödel, Mathematical practice, Mathematics, Paul Benacerraf, Penelope Maddy, Peter Wegner, Philosophy of mathematics, Physics, Quasi-empirical method, Rationalism, Richard Hamming, Social science, Stephen Wolfram, The Unreasonable Effectiveness of Mathematics in the Natural Sciences, Theory of forms, Thomas Tymoczko, Thought experiment, Turing machine, Unreasonable ineffectiveness of mathematics, Upper ontology.
A New Kind of Science
A New Kind of Science is a best-selling, controversial book by Stephen Wolfram, published by his own company in 2002.
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Alan Turing
Alan Mathison Turing (23 June 1912 – 7 June 1954) was an English computer scientist, mathematician, logician, cryptanalyst, philosopher, and theoretical biologist.
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American Mathematical Monthly
The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.
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Ancient Greece
Ancient Greece was a civilization belonging to a period of Greek history from the Greek Dark Ages of the 13th–9th centuries BC to the end of antiquity (AD 600).
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Arabian Peninsula
The Arabian Peninsula, simplified Arabia (شِبْهُ الْجَزِيرَةِ الْعَرَبِيَّة, ‘Arabian island’ or جَزِيرَةُ الْعَرَب, ‘Island of the Arabs’), is a peninsula of Western Asia situated northeast of Africa on the Arabian plate.
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Aristotle
Aristotle (Ἀριστοτέλης Aristotélēs,; 384–322 BC) was an ancient Greek philosopher and scientist born in the city of Stagira, Chalkidiki, in the north of Classical Greece.
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Cambridge
Cambridge is a university city and the county town of Cambridgeshire, England, on the River Cam approximately north of London.
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Charles Sanders Peirce
Charles Sanders Peirce ("purse"; 10 September 1839 – 19 April 1914) was an American philosopher, logician, mathematician, and scientist who is sometimes known as "the father of pragmatism".
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China
China, officially the People's Republic of China (PRC), is a unitary one-party sovereign state in East Asia and the world's most populous country, with a population of around /1e9 round 3 billion.
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Church–Turing thesis
In computability theory, the Church–Turing thesis (also known as computability thesis, the Turing–Church thesis, the Church–Turing conjecture, Church's thesis, Church's conjecture, and Turing's thesis) is a hypothesis about the nature of computable functions.
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Cognitive bias
A cognitive bias is a systematic pattern of deviation from norm or rationality in judgment.
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Computational mathematics
Computational mathematics may refer to two different aspect of the relation between computing and mathematics.
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Empirical evidence
Empirical evidence, also known as sensory experience, is the information received by means of the senses, particularly by observation and documentation of patterns and behavior through experimentation.
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Empirical research
Empirical research is research using empirical evidence.
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Entscheidungsproblem
In mathematics and computer science, the Entscheidungsproblem (German for "decision problem") is a challenge posed by David Hilbert in 1928.
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Et cetera
Et cetera (in English), abbreviated to etc., etc, &c., or &c, is a Latin expression that is used in English to mean "and other similar things", or "and so forth".
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Euclid
Euclid (Εὐκλείδης Eukleidēs; fl. 300 BC), sometimes given the name Euclid of Alexandria to distinguish him from Euclides of Megara, was a Greek mathematician, often referred to as the "founder of geometry" or the "father of geometry".
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Eugene Wigner
Eugene Paul "E.
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Foundations of mathematics
Foundations of mathematics is the study of the philosophical and logical and/or algorithmic basis of mathematics, or, in a broader sense, the mathematical investigation of what underlies the philosophical theories concerning the nature of mathematics.
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Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
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Geometry
Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
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Gregory Chaitin
Gregory John Chaitin (born 15 November 1947) is an Argentine-American mathematician and computer scientist.
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Hilary Putnam
Hilary Whitehall Putnam (July 31, 1926 – March 13, 2016) was an American philosopher, mathematician, and computer scientist, and a major figure in analytic philosophy in the second half of the 20th century.
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Imre Lakatos
Imre Lakatos (Lakatos Imre; November 9, 1922 – February 2, 1974) was a Hungarian philosopher of mathematics and science, known for his thesis of the fallibility of mathematics and its 'methodology of proofs and refutations' in its pre-axiomatic stages of development, and also for introducing the concept of the 'research programme' in his methodology of scientific research programmes.
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India
India (IAST), also called the Republic of India (IAST), is a country in South Asia.
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Interactive computation
In computer science, interactive computation is a mathematical model for computation that involves input/output communication with the external world during computation.
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Karl Popper
Sir Karl Raimund Popper (28 July 1902 – 17 September 1994) was an Austrian-British philosopher and professor.
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Kurt Gödel
Kurt Friedrich Gödel (April 28, 1906 – January 14, 1978) was an Austrian, and later American, logician, mathematician, and philosopher.
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Mathematical practice
Mathematical practice is the working practices of professional mathematicians: selecting theorems to prove, using informal notations to persuade themselves and others that various steps in the final proof are convincing, and seeking peer review and publication, as opposed to the end result of proven and published theorems.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Paul Benacerraf
Paul Joseph Salomon Paul Benacerraf (born 1931) is a French-born American philosopher working in the field of the philosophy of mathematics who has been teaching at Princeton University since he joined the faculty in 1960.
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Penelope Maddy
Penelope Maddy (born 4 July 1950 in Tulsa, Oklahoma) is a UCI Distinguished Professor of Logic and Philosophy of Science and of Mathematics at the University of California, Irvine.
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Peter Wegner
Peter A. Wegner (August 20, 1932 – July 27, 2017) was a computer scientist who made significant contributions to both the theory of object-oriented programming during the 1980s and to the relevance of the Church–Turing thesis for empirical aspects of computer science during the 1990s and present.
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Philosophy of mathematics
The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics, and purports to provide a viewpoint of the nature and methodology of mathematics, and to understand the place of mathematics in people's lives.
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Physics
Physics (from knowledge of nature, from φύσις phýsis "nature") is the natural science that studies matterAt the start of The Feynman Lectures on Physics, Richard Feynman offers the atomic hypothesis as the single most prolific scientific concept: "If, in some cataclysm, all scientific knowledge were to be destroyed one sentence what statement would contain the most information in the fewest words? I believe it is that all things are made up of atoms – little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another..." and its motion and behavior through space and time and that studies the related entities of energy and force."Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." Physics is one of the most fundamental scientific disciplines, and its main goal is to understand how the universe behaves."Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physics. (...) You will come to see physics as a towering achievement of the human intellect in its quest to understand our world and ourselves."Physics is an experimental science. Physicists observe the phenomena of nature and try to find patterns that relate these phenomena.""Physics is the study of your world and the world and universe around you." Physics is one of the oldest academic disciplines and, through its inclusion of astronomy, perhaps the oldest. Over the last two millennia, physics, chemistry, biology, and certain branches of mathematics were a part of natural philosophy, but during the scientific revolution in the 17th century, these natural sciences emerged as unique research endeavors in their own right. Physics intersects with many interdisciplinary areas of research, such as biophysics and quantum chemistry, and the boundaries of physics are not rigidly defined. New ideas in physics often explain the fundamental mechanisms studied by other sciences and suggest new avenues of research in academic disciplines such as mathematics and philosophy. Advances in physics often enable advances in new technologies. For example, advances in the understanding of electromagnetism and nuclear physics led directly to the development of new products that have dramatically transformed modern-day society, such as television, computers, domestic appliances, and nuclear weapons; advances in thermodynamics led to the development of industrialization; and advances in mechanics inspired the development of calculus.
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Quasi-empirical method
Quasi-empirical methods are methods applied in science and mathematics to achieve epistemology similar to that of empiricism (thus quasi- + empirical) when experience cannot falsify the ideas involved.
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Rationalism
In philosophy, rationalism is the epistemological view that "regards reason as the chief source and test of knowledge" or "any view appealing to reason as a source of knowledge or justification".
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Richard Hamming
Richard Wesley Hamming (February 11, 1915 – January 7, 1998) was an American mathematician whose work had many implications for computer engineering and telecommunications.
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Social science
Social science is a major category of academic disciplines, concerned with society and the relationships among individuals within a society.
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Stephen Wolfram
Stephen Wolfram (born August 29, 1959) is a British-American computer scientist, physicist, and businessman.
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The Unreasonable Effectiveness of Mathematics in the Natural Sciences
"The Unreasonable Effectiveness of Mathematics in the Natural Sciences" is the title of an article published in 1960 by the physicist Eugene Wigner.
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Theory of forms
The theory of Forms or theory of Ideas is Plato's argument that non-physical (but substantial) forms (or ideas) represent the most accurate reality.
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Thomas Tymoczko
A.
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Thought experiment
A thought experiment (Gedankenexperiment, Gedanken-Experiment or Gedankenerfahrung) considers some hypothesis, theory, or principle for the purpose of thinking through its consequences.
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Turing machine
A Turing machine is a mathematical model of computation that defines an abstract machine, which manipulates symbols on a strip of tape according to a table of rules.
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Unreasonable ineffectiveness of mathematics
The unreasonable ineffectiveness of mathematics is a phrase that alludes to the article by physicist Eugene Wigner, "The Unreasonable Effectiveness of Mathematics in the Natural Sciences".
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Upper ontology
In information science, an upper ontology (also known as a top-level ontology or foundation ontology) is an ontology (in the sense used in information science) which consists of very general terms (such as "object", "property", "relation") that are common across all domains.
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Redirects here:
Mathematical quasi-empiricism, Quasi-empirical.
References
[1] https://en.wikipedia.org/wiki/Quasi-empiricism_in_mathematics
