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Reuben Goodstein

Reuben Louis Goodstein (15 December 1912 – 8 March 1985) was an English mathematician with an interest in the philosophy and teaching of mathematics. EducationGoodstein was educated at St Paul's School, London. He received his Master's degree from Magdalene College, Cambridge. After this, he worked at the University of Reading but ultimately spent most of his academic career at the University of Leicester. He earned his PhD from the University of London in 1946 while still working in Reading.

University of LeicesterUniversity of LeicesterThe University of Leicester ( LEST-ər) is a public research university based in Leicester, England. It was established as a university college in 1921. In 1957, the university's predecessor, University College, Leicester, gained university status by royal charter. The main campus is south of the city centre, adjacent to Victoria Park.University of LondonThe University of London (UoL; abbreviated as Lond or more rarely Londin in post-nominals) is a federal public research university in London, England, United Kingdom.University of ReadingUniversity of ReadingUniversity in Berkshire, EnglandWebsitereading.ac.ukThe University of Reading ( ) is a public research university in Reading, Berkshire, England. It was founded in 1892 as the University Extension College, Reading, an extension college of Christ Church, Oxford, and became University College, Reading in 1902.Ludwig WittgensteinLudwig WittgensteinAustrian philosopher and logician (1889–1951)Ludwig Josef Johann Wittgenstein ( ; Austrian German:; 26 April 1889 – 29 April 1951) was an Austro-British philosopher who worked in logic, philosophy of mathematics, philosophy of mind, and philosophy of language. Wittgenstein was born in Vienna into one of Europe's richest families.Mathematical analysisMathematical analysisMathematical analysis is the branch of mathematics that studies functions, spaces, and operators through methods of approximation and convergence. It grew out of calculus, especially the use of derivatives and integrals to study variable quantities, and in the 19th century its foundations were reformulated with greater rigor. Basic objects of study in mathematical analysis include the real numbers, functions, sequences, series, and limits.Magdalene College, CambridgeMagdalene College, CambridgeMagdalene College ( MAWD-lin) is a constituent college of the University of Cambridge. The college was founded in 1428 as a Benedictine hostel, in time coming to be known as Buckingham College, before being refounded in 1542 as the College of St Mary Magdalene. Magdalene counted some of the most prominent men in the realm among its benefactors, including Britain's premier noble the Duke of Norfolk, the Duke of Buckingham and Lord Chief Justice Christopher Wray.Doctor of PhilosophyDoctor of PhilosophyPostgraduate academic degreeA Doctor of Philosophy (PhD, DPhil; Latin: philosophiae doctor or doctor in philosophia) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of graduate study and original research. The name of the degree is most often abbreviated PhD (or, at times, as Ph.D. in North America) and is pronounced as three separate letters ( ).St Paul's School, LondonSt Paul's School, LondonSt Paul's School is a selective independent day school (with limited boarding) for boys aged 13–18, founded in 1509 by John Colet. It is located on a 43 acres (17 ha) site, beside the River Thames in Barnes, in south-west London. St Paul's was one of nine English schools investigated by the Clarendon Commission, which subsequently became known as the Clarendon schools.MathematicsMathematicsMathematics is a field of knowledge concerned with abstract concepts such as numbers, geometric shapes, sets, functions, and probabilities. It uses logical reasoning and proof to study and establish their properties, often expressed as theorems, formulas, and equations. Mathematics is used to model and solve problems in science, engineering, technology, economics, and everyday life.PhilosophyPhilosophyStudy of general and fundamental questionsThe statue The Thinker by Auguste Rodin is a symbol of philosophical thought.TeachingTeachingTeaching is the practice implemented by a teacher aimed at transmitting skills (knowledge, know-how, and interpersonal skills) to a learner, a student, or any other audience of an educational institution. Teaching is closely related to learning, the student's activity of appropriating this knowledge. Teaching is part of the broader concept of education.MathematicianMathematicianA mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. HistoryOne of the earliest known mathematicians was Thales of Miletus (c. 624 – c. 546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed.

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