“In March 1879 Clifford died at Madeira; six years afterwards a posthumous work is for the first time placed before the public. …The original work as planned by Clifford was to have been entitled The First Principles of the Mathematical Sciences Explained to the Non-Mathematical, and to have contained six chapters, on Number, Space, Quantity, Position, Motion, and Mass respectively. Of the projected work Clifford in the year 1875 dictated the chapters on Number and Space completely, the first portion of the chapter on Quantity, and somewhat later nearly the entire chapter on Motion. The first two chapters were afterwards seen by him in proof, but never finally revised. Shortly before his death he expressed a wish that the book should only be published after very careful revision and that its title should be changed to The Common Sense of the Exact Sciences.”

Preface by Karl Pearson
The Common Sense of the Exact Sciences (1885)

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English mathematician and philosopher 1845–1879

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“Upon Clifford's death the labour of revision and completion was entrusted to Mr. R. C. Rowe, then Professor of Pure Mathematics at University College, London. …On the sad death of Professor Rowe, in October 1884, I was requested… to take up the task of editing… For the latter half of Chapter III. and for the whole of Chapter IV. …I am alone responsible. Yet whatever there is in them of value I owe to Clifford; whatever is feeble or obscure is my own. …With Chapter V. my task has been by no means light. …Without any notice of mass or force it seemed impossible to close a discussion on motion; something I felt must be added. I have accordingly introduced a few pages on the laws of motion. I have since found that Clifford intended to write a concluding chapter on mass. How to express the laws of motion in a form of which Clifford would have approved was indeed an insoluble riddle to me, because I was unaware of his having written anything on the subject. I have accordingly expressed, although with great hesitation, my own views on the subject; these may be concisely described as a strong desire to see the terms matter and force, together with the ideas associated with them, entirely removed from scientific terminology—to reduce, in fact, all dynamic to kinematic. I should hardly have ventured to put forward these views had I not recently discovered that they have (allowing for certain minor differences) the weighty authority of Professor Mach, of Prag. But since writing these pages I have also been referred to a discourse delivered by Clifford at the Royal Institution in 1873, some account of which appeared in Nature, June 10, 1880. Therein it is stated that 'no mathematician can give any meaning to the language about matter, force, inertia used in current text-books of mechanics.”

William Kingdon Clifford (1845–1879) English mathematician and philosopher

This fragmentary account of the discourse undoubtedly proves that Clifford held on the categories of matter and force as clear and original ideas as on all subjects of which he has treated; only, alas! they have not been preserved.
Preface by Karl Pearson
The Common Sense of the Exact Sciences (1885)

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“In 1922, Friedmann… broke new ground by investigating non-static solutions to Einstein's field equations, in which the radius of curvature of space varies with time. This Possibility had already been envisaged, in a general sense, by Clifford in the eighties.”

Gerald James Whitrow (1912–2000) British mathematician

The Structure of the Universe: An Introduction to Cosmology (1949)
Context: The models of Einstein and de Sitter are static solutions of Einstein's modified gravitational equations for a world-wide homogeneous system. They both involve a positive cosmological constant λ, determining the curvature of space. If this constant is zero, we obtain a third model in classical infinite Euclidean space. This model is empty, the space-time being that of Special Relativity.
It has been shown that these are the only possible static world models based on Einstein's theory. In 1922, Friedmann... broke new ground by investigating non-static solutions to Einstein's field equations, in which the radius of curvature of space varies with time. This Possibility had already been envisaged, in a general sense, by Clifford in the eighties.<!--p.82

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“It is not of the essence of mathematics to be conversant with the ideas of number and quantity.”

George Boole (1815–1864) English mathematician, philosopher and logician

Source: 1850s, An Investigation of the Laws of Thought (1854), p. 12; Cited in: Alexander Bain (1870) Logic, p. 191

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“In the beginning of his preaching he completed the number of the twelve Apostles, and instructed them all the first year”

Isaac Newton (1643–1727) British physicist and mathematician and founder of modern classical physics

Vol. I, Ch. 11: Of the Times of the Birth and Passion of Christ
Observations upon the Prophecies of Daniel, and the Apocalypse of St. John (1733)
Context: John therefore baptized two summers, and Christ preached three. The first summer John preached to make himself known, in order to give testimony to Christ. Then, after Christ came to his baptism and was made known to him, he baptized another summer, to make Christ known by his testimony; and Christ also baptized the same summer, to make himself the more known: and by reason of John's testimony there came more to Christ's baptism than to John's. The winter following John was imprisoned; and now his course being at an end, Christ entered upon his proper office of preaching in the cities. In the beginning of his preaching he completed the number of the twelve Apostles, and instructed them all the first year in order to send them abroad. Before the end of this year, his fame by his preaching and miracles was so far spread abroad, that the Jews at the Passover following consulted how to kill him. In the second year of his preaching, it being no longer safe for him to converse openly in Judea, he sent the twelve to preach in all their cities: and in the end of the year they returned to him, and told him all they had done. All the last year the twelve continued with him to be instructed more perfectly, in order to their preaching to all nations after his death. And upon the news of John's death, being afraid of Herod as well as of the Jews, he walked this year more secretly than before; frequenting deserts, and spending the last half of the year in Judea, without the dominions of Herod.

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“A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street.”

Eine mathematische Theorie ist nicht eher als vollkommen anzusehen, als bis du sie so klar gemacht hast, daß du sie dem ersten Manne erklären könntest, den du auf der Straße triffst.
Mathematical Problems (1900)
Context: An old French mathematician said: A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street. This clearness and ease of comprehension, here insisted on for a mathematical theory, I should still more demand for a mathematical problem if it is to be perfect; for what is clear and easily comprehended attracts, the complicated repels us.

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