The Metaphysics and Mathematics of Arbitrary Objects, by Leon Horsten. Cambridge: Cambridge University Press, 2019. Pp. xviii + 232.

Mind ◽  
2020 ◽  
Author(s):  
Kit Fine
2002 ◽  
Vol 48 ◽  
pp. 391-403 ◽  
Author(s):  
D.W. Collinson

Stanley Keith Runcorn was born in 1922 in Southport, Lancashire, the son of a monumentalmason of staunch Congregationalist persuasion. He was educated at the King George VGrammar School, where his strongest subjects were history and mathematics. When in thesixth form his headmaster persuaded him to take science subjects, and he was subsequentlyawarded a State Scholarship to study at Cambridge University. At an early age his father hadtaken him to a small local observatory, encouraging his interest in astronomy. On the sportingside, in spite of his later interest in rugby he refused to play the game at school and insteadconcentrated on swimming. Under his captaincy his house regularly won the swimming trophy. Runcorn showed an early interest in religious and cultural matters, which was to stay with him throughout his life. He attended a Methodist Sunday school and for some time provided a Sunday evening service for his sister and grandmother while his parents attended church. He read extensively and went to London on his own, visiting museums and architectural landmarks. Later, while at Cambridge, he developed a love of music. In 1940 he entered Gonville and Caius College at Cambridge to read electrical engineering. After graduating in 1943 he commenced research at the Royal Radar Establishment (RRE), remaining there until the end of the war. During his time at the RRE he was confirmed into the Church of England.


2015 ◽  
Vol 34 ◽  
pp. 207-228 ◽  
Author(s):  
Daniel K. S. Walden

AbstractThis article discusses a full-page schematic diagram contained in a twelfth-century manuscript of Boethius’ De institutione arithmetica and De institutione musica from Christ Church Cathedral, Canterbury (Cambridge University Library MS Ii.3.12), which has not yet been the subject of any significant musicological study despite its remarkable scope and comprehensiveness. This diagrammatic tree, or arbor, maps the precepts of the first book of De institutione arithmetica into a unified whole, depicting the ways music and arithmetic are interrelated as sub-branches of the quadrivium. I suggest that this schematic diagram served not only as a conceptual and interpretative device for the scribe working through Boethius’ complex theoretical material, but also as a mnemonic guide to assist the medieval pedagogue wishing to instruct students in the mathematics of musica speculativa. The diagram constitutes a fully developed theoretical exercise in its own right, while also demonstrating the roles Boethian philosophy and mathematics played in twelfth-century musical scholarship.


Short notices - A second course in mathematical analysis, by J. C. Burkill and H. Burkill. Pp 526. £10·95 paperback. 1980. ISBN 0-521-28061-3 (Cambridge) - Basic mathematics, by Harold S. Engelsohn and Joseph Feit. Pp 532. £10·10. 1980. ISBN 0-471-24145-8 (Wiley) - A dictionary of named effects and laws in chemistry, physics and mathematics (4th edition), by D. W. G. Ballentyne and D. R. Lovett. Pp 346. £7·95. 1980. ISBN 0-412-22390-2 (Chapman and Hall) (also available in a hardback edition) - A dictionary of scientific units (4th edition), by H. G. Jerrard and D. B. McNeill. Pp 212. £5·95. 1980. ISBN 0-412-22370-8 (Chapman and Hall) - Cassell number games, by Peter Avis. 4 sets of 5 games each. £5 ·70 each set. 1980 (Cassell) - Ramsey theory, by R. L. Graham, B. L. Rothschild and J. H. Spencer. Pp 174. £11·75. 1980. ISBN 0-471-05997-8 (Wiley) - Notes on Rubik’s ‘Magic cube’ (5th edition), by David Singmaster. Pp 75. £1·50 by post from the author at Polytechnic of the South Bank, London SEI 0AA. 1980. - Approaches to the theory of optimization, by J. Ponstein. Pp 205. £16·00. 1980. ISBN 0-521-23155-8 (Cambridge University Press) - International bibliography of journals in mathematical education, by Gert Schubring. Pp 108. 1980 (Institut für Didaktik der Mathematik, Universität Bielefeld, Postfach 8640, 4800 Bielefeld, W. Germany) - Methods of mathematical economics, by Joel Franklin. Pp 297. DM 45. 1980. ISBN 3-540-90481-6 (Springer) - Surfaces, (2nd ed.), by H. B. Griffiths. Pp 128. £12·50 hardback, £4·95 paperback. 1981. ISBN 0-521-23570-7/29977-2 (Cambridge University Press) - Technician mathematics levels 4 & 5, by J. O. Bird and A. J. C. May. Pp 413. £7·95. 1981. ISBN 0-582-41762-7 (Longman) - Concepts of modern mathematics, by Ian Stewart. Pp 339. £3·50. 1981. ISBN 0-14-02-1849-1 (Penguin)

1981 ◽  
Vol 65 (433) ◽  
pp. 236-238
Author(s):  
M.L. Cornelius

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