Herbert Spencer and Mathematics

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From 'circumstances' to 'environment': Herbert Spencer and the origins of the idea of organism-environment interaction.

The word 'environment' has a history. Before the mid-nineteenth century, the idea of a singular, abstract entity--the organism--interacting with another singular, abstract entity--the environment--was virtually unknown. In this paper I trace how the idea of a plurality of external conditions or circumstances was replaced by the idea of a singular environment. The central figure behind this shif...

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Let X be a smooth, projective algebraic variety over an algebraically closed field k, and let H(X) denote a Weil cohomology theory. The existence of algebraic cycles on X×X inducing as correspondences the various Künneth projectors π : H(X) → H (X) is one of the standard conjectures of Grothendieck, [8], [9]. It is known in general only for the cases i = 0, 1, 2d − 1, 2d where d = dimX. The pur...

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Herbert Herbert: his corneal pits and scleral slits.

PURPOSE To evaluate the life and professional work of the English ophthalmologist Herbert Herbert (1865-1942). DESIGN Historical study. METHODS The main sources for this investigation are Herbert's approximately 65 published papers and 3 monographs. Other sources are contemporary publications by other ophthalmologists and secondary historical reviews of this period. Written communications w...

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The fall of tsarism in Russia in 1917 was the culmination of many factors. It is perhaps widely noted that Nicholas II was not suited to his role as Tsar, mainly due to his character and personality. Resentment of his wife and her involvement with the mystical Rasputin was also widespread and helped contribute to the collapse of the monarchy. Also the state of the country during World War One l...

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ژورنال

عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society

سال: 1906

ISSN: 0013-0915,1464-3839

DOI: 10.1017/s0013091500033629