scholarly journals PERSPECTIVES OF FUTURE TEACHERS OF EARLY YEARS FROM TWO PORTUGUESE INSTITUTIONS ON THE HISTORY OF MATHEMATICS

2021 ◽  
Author(s):  
Cecilia Costa ◽  
Luís Menezes ◽  
António Ribeiro ◽  
Helder Pinto ◽  
Ana Patrícia Martins ◽  
...  
2015 ◽  
Vol 9 (1) ◽  
pp. 59-87 ◽  
Author(s):  
Martin Calamari

In recent years, the ideas of the mathematician Bernhard Riemann (1826–66) have come to the fore as one of Deleuze's principal sources of inspiration in regard to his engagements with mathematics, and the history of mathematics. Nevertheless, some relevant aspects and implications of Deleuze's philosophical reception and appropriation of Riemann's thought remain unexplored. In the first part of the paper I will begin by reconsidering the first explicit mention of Riemann in Deleuze's work, namely, in the second chapter of Bergsonism (1966). In this context, as I intend to show first, Deleuze's synthesis of some key features of the Riemannian theory of multiplicities (manifolds) is entirely dependent, both textually and conceptually, on his reading of another prominent figure in the history of mathematics: Hermann Weyl (1885–1955). This aspect has been largely underestimated, if not entirely neglected. However, as I attempt to bring out in the second part of the paper, reframing the understanding of Deleuze's philosophical engagement with Riemann's mathematics through the Riemann–Weyl conjunction can allow us to disclose some unexplored aspects of Deleuze's further elaboration of his theory of multiplicities (rhizomatic multiplicities, smooth spaces) and profound confrontation with contemporary science (fibre bundle topology and gauge field theory). This finally permits delineation of a correlation between Deleuze's plane of immanence and the contemporary physico-mathematical space of fundamental interactions.


Author(s):  
Jed Z. Buchwald ◽  
Mordechai Feingold

Isaac Newton’s Chronology of Ancient Kingdoms Amended, published in 1728, one year after the great man’s death, unleashed a storm of controversy. And for good reason. The book presents a drastically revised timeline for ancient civilizations, contracting Greek history by five hundred years and Egypt’s by a millennium. This book tells the story of how one of the most celebrated figures in the history of mathematics, optics, and mechanics came to apply his unique ways of thinking to problems of history, theology, and mythology, and of how his radical ideas produced an uproar that reverberated in Europe’s learned circles throughout the eighteenth century and beyond. The book reveals the manner in which Newton strove for nearly half a century to rectify universal history by reading ancient texts through the lens of astronomy, and to create a tight theoretical system for interpreting the evolution of civilization on the basis of population dynamics. It was during Newton’s earliest years at Cambridge that he developed the core of his singular method for generating and working with trustworthy knowledge, which he applied to his study of the past with the same rigor he brought to his work in physics and mathematics. Drawing extensively on Newton’s unpublished papers and a host of other primary sources, the book reconciles Isaac Newton the rational scientist with Newton the natural philosopher, alchemist, theologian, and chronologist of ancient history.


Author(s):  
R.V. Vaidyanatha Ayyar

The chapter is a prologue to the main narrative of the book. It offers an evaluation of Macaulay’s minute which paved the way for introduction of modern education in India, the idea of National System Of Education which dominated Indian thinking on education for over sixty years from the Partition of Bengal (1905) to the Kothari Commission (1964), and the division of responsibility between the Central and Provincial Governments for educational development during British Raj. It offers a succinct account of the key recommendations of the landmark Sarjent Committee on Post-War Educational Development, the Radhakrishnan Commission on University Development, and the Mudaliar Commission on Secondary Education, of the drafting history of the provisions relating to education in the Constitution, the spectacular expansion of access after Independence, the evolution of regulatory policies and institutions like the University Grants Commission (UGC), and of the delicate compromise over language policy.


Aschkenas ◽  
2019 ◽  
Vol 29 (2) ◽  
pp. 313-349
Author(s):  
Matthias Springborn

Abstract This biographical essay is designed to give a survey of Constantin Brunnerʼs early years, from his childhood and youth until the end of his student days, based on the available letters, manuscripts and published writings. A major focus is on Brunnerʼs intellectual development from protected child, spiritually shaped by Jewish orthodoxy, to aspiring religious scholar and finally to the secular philosopher known today. The article is therefore a contribution to a range of research topics: to the field of German-Jewish biography during the period of the German Empire; but also to the history of ideas, particularly in relation to the secularization of religious minorities. It also touches upon developments inside the Jewish community: the way different intellectual and religious currents are related to each other, the informal networks between Jewish intellectuals and how national (German or Jewish) identity is related to the Jewish self-image.


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