RECENT ADVANCES IN SCIENCE 



MATHEMATICS. By Philip E. B. Jourdain, M.A., Cambridge. 



Various News and Educational Questions. — Giuseppe Veronese 

 of Padua died on July 17, 191 7, at the age of sixty-three. His 

 best known work is concerned with the foundations of geometry, 

 and, on the still somewhat obscure question as to the existence 

 or not of infinitesimals and his " infinite numbers," he had 

 controversies with Georg Cantor, Peano, and others. 



Until the war is over, the Circolo Matematico of Palermo 

 has suspended the publication of its Rendiconti. 



The De Morgan medal for 191 7 was awarded by the London 

 Mathematical Society to W. H. Young for his eminent work 

 in mathematics ; the Bordin prize of the Paris Academy of 

 Sciences for 191 7 was awarded to Gaston Julia for his memoir 

 on the arithmetical theory of non-quadratic forms ; and the 

 Alfred Ackermann-Teubner prize for progress in mathematics 

 was awarded in 191 6 by the University of Leipzig to Ernst 

 Zermelo of Zurich for his work (1904, 1907) on the theory of 

 aggregates . 



Some account of the Mittag-Leffler Institute is given else- 

 where in this number of Science Progress. 



The French Mathematical Society has decided to accept 

 articles written in English and Italian as well as those in 

 French (Amer. Math. Monthly, 191 7, 24, 444). 



In the Monist for October 191 7 (27, 618-39) is a large 

 collection of notes on recent work in the philosophy of science, 

 in which work on the philosophy and history of mathematics 

 has a large place. 



The number of the American Mathematical Monthly for 

 October 191 7 contains much of interest to teachers of mathe- 

 matics. In the first place, there is a full account of the second 

 summer meeting of the Mathematical Association of America 

 and the meeting of the Council, containing abstracts of papers 

 read (24, 353-62) ; and, in the second place, there are articles 

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