“The best history of Greek mathematics which exists at present is undoubtedly that of Gino Loria under the title Le scienze esatte nell' antica Grecia (second edition 1914…) …the arrangement is chronological …they raise the question whether in a history of this kind it is best to follow chronological order or to arrange the material according to subjects…
I have adopted a new arrangement, mainly according to subjects…”

— Thomas Little Heath

A History of Greek Mathematics (1921) Vol. 1. From Thales to Euclid

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Thomas Little Heath 46

British civil servant and academic 1861–1940

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“The researches of the last thirty or forty years into the history of mathematics (I need only mention such names as those of [Carl Anton] Bretschneider, Hankel, Moritz Cantor, [Friedrich] Hultsch, Paul Tannery, Zeuthen, Loria, and Heiberg) have put the whole subject upon a different plane. I have endeavoured in this edition to take account of all the main results of these researches up to the present date. Thus, so far as the geometrical Books are concerned, my notes are intended to form a sort of dictionary of the history of elementary geometry, arranged according to subjects; while the notes on the arithmetical Books VII.-IX. and on Book X follow the same plan.”

Thomas Little Heath (1861–1940) British civil servant and academic

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“This chronology is infinitely absurd, and I do not believe that there is an intelligent, well-educated Christian in the world, having examined the subject, who will say that the Christian chronology is correct.”

Robert G. Ingersoll (1833–1899) Union United States Army officer

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“On the whole, a man who denies the existence of the effects arranged according to the causes in the question of arts, or whose wisdom cannot understand it, then he has no knowledge of the art of its Maker.”

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“When the basic structure of society is publicly known to satisfy its principles for an extended period of time, those subject to these arrangements tend to develop a desire to act in accordance with these principles and to do their part in institutions which exemplify them”

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“The classification of subject matter may be carried out for all sort of special purposes - to arrange books on shelves, to group inventions in patents, to classify the raw materials, intermediates and products of importance to a particular manufacturer, and so on. All such arrangements have their particular uses and their particular problems.”

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“As mineralogy constitutes a part of chemistry, it is clear that this arrangement [of minerals] must derive its principles from chemistry. The most perfect mode of arrangement would certainly be to allow bodies to follow each other according to the order of their electro-chemical properties, from the most electro-negative, oxygen, to the most electro-positive, potassium; and to place every compound body according to its most electro-positive ingredient.”

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“The education of the child must accord both in mode and arrangement with the education of mankind, considered historically.”

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Context: The education of the child must accord both in mode and arrangement with the education of mankind, considered historically. In other words, the genesis of knowledge in the individual, must follow the same course as the genesis of knowledge in the race. In strictness, this principle may be considered as already expressed by implication; since both being processes of evolution, must conform to those same general laws of evolution... and must therefore agree with each other. Nevertheless this particular parallelism is of value for the specific guidance it affords. To M. Comte we believe society owes the enunciation of it; and we may accept this item of his philosophy without at all committing ourselves to the rest.<!--p.75

“It is true that in recent years a number of attractive histories of mathematics have been published in England and America, but these have only dealt with Greek mathematics as part of the larger subject, and in consequence the writers have been precluded… from presenting the work of the Greeks in suflicient detail. The same remark applies to the German histories of mathematics, even to the great work of Moritz Cantor…”

Thomas Little Heath (1861–1940) British civil servant and academic

Preface p. vi
A History of Greek Mathematics (1921) Vol. 1. From Thales to Euclid

“Revolution is aimed at new arrangements; insurrection [Empörung] leads us no longer to let ourselves be arranged, but to arrange ourselves”

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S. Byington, trans. (1913), p. 421
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Context: Revolution is aimed at new arrangements; insurrection [Empörung] leads us no longer to let ourselves be arranged, but to arrange ourselves, and set no glittering hopes on “institutions.”

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Thomas Little Heath 46

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