“Sweet and gentle and sensitive man
With an obsessive nature and deep fascination
For numbers
And a complete infatuation with the calculation
Of π.”

— Kate Bush

Song lyrics, Aerial (2005), A Sea of Honey (Disc 1)

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Kate Bush 319

British recording artist; singer, songwriter, musician and … 1958

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“The second period, which commenced in the middle of the seventeenth century, and lasted for about a century, was characterized by the application of the powerful analytical methods provided by the new Analysis to the determination of analytical expressions for the number π in the form of convergent series, products, and continued fractions. The older geometrical forms of investigation gave way to analytical processes in which the functional relationship as applied to the trigonometrical functions became prominent. The new methods of systematic representation gave rise to a race of calculators of π, who, in their consciousness of the vastly enhance means of calculation placed in their hands by the new Analysis, proceeded to apply the formulae to obtain numerical approximations to π to ever larger numbers of places of decimals, although their efforts were quite useless for the purpose of throwing light upon the true nature of that number. At the end of this period no knowledge had been obtained as regards the number π of the kind likely to throw light upon the possibility or impossibility of the old historical problem of the ideal construction; it was not even definitely known whether the number is rational or irrational. However, one great discovery, destined to furnish the clue to the solution of the problem, was made at this time; that of the relation between the two numbers π and e, as a particular case of those exponential expressions for the trigonometrical functions which form one of the most fundamentally important of the analytical weapons forged during this period.”

E. W. Hobson (1856–1933) British mathematician

Source: Squaring the Circle (1913), pp. 11-12

“In the third period, which lasted from the middle of the eighteenth century until late in the nineteenth century, attention was turned to critical investigations of the true nature of the number π itself, considered independently of mere analytical representations. The number was first studied in respect of its rationality or irrationality, and it was shown to be really irrational. When the discovery was made of the fundamental distinction between algebraic and transcendental numbers, i. e. between those numbers which can be, and those numbers which cannot be, roots of an algebraical equation with rational coefficients, the question arose to which of these categories the number π belongs. It was finally established by a method which involved the use of some of the most modern of analytical investigation that the number π was transcendental. When this result was combined with the results of a critical investigation of the possibilities of a Euclidean determination, the inferences could be made that the number π, being transcendental, does not admit of a construction either by a Euclidean determination, or even by a determination in which the use of other algebraic curves besides the straight line and the circle are permitted. The answer to the original question thus obtained is of a conclusive negative character; but it is one in which a clear account is given of the fundamental reasons upon which that negative answer rests.”

E. W. Hobson (1856–1933) British mathematician

Source: Squaring the Circle (1913), p. 12

“Sweet Stay-at-Home, sweet Well-content,
Thou knowest of no strange continent;
Thou hast not felt thy bosom keep
A gentle motion with the deep;
Thou hast not sailed in Indian seas,
Where scent comes forth in every breeze.”

William Henry Davies (1871–1940) British poet

Sweet Stay-at-Home.

“You can calculate the worth of a man by the number of his enemies, and the importance of a work of art by the harm that is spoken of it.”

Gustave Flaubert (1821–1880) French writer (1821–1880)

14 June 1853
Correspondence, Letters to Madame Louise Colet

“Underneath his sweetness and gentleness was the heat of a volcano. He was a man of excitable and fiery nature; but through high self-discipline he had converted the fire into a central glow and motive power of life, instead of permitting it to waste itself in useless passion.”

John Tyndall (1820–1893) British scientist

"Points of Character", p. 37.
Faraday as a Discoverer (1868)
Context: A point highly illustrative of the character of Faraday now comes into view. He gave an account of his discovery of Magneto-electricity in a letter to his friend M. Hachette, of Paris, who communicated the letter to the Academy of Sciences. The letter was translated and published; and immediately afterwards two distinguished Italian philosophers took up the subject, made numerous experiments, and published their results before the complete memoirs of Faraday had met the public eye. This evidently irritated him. He reprinted the paper of the learned Italians in the Philosophical Magazine accompanied by sharp critical notes from himself. He also wrote a letter dated Dec. 1,1832, to Gay Lussac, who was then one of the editors of the Annales de Chimie in which he analysed the results of the Italian philosophers, pointing out their errors, and' defending himself from what he regarded as imputations on his character. The style of this letter is unexceptionable, for Faraday could not write otherwise than as a gentleman; but the letter shows that had he willed it he could have hit hard. We have heard much of Faraday's gentleness and sweetness and tenderness. It is all true, but it is very incomplete. You cannot resolve a powerful nature into these elements, and Faraday's character would have been less admirable than it was had it not embraced forces and tendencies to which the silky adjectives "gentle" and "tender" would by no means apply. Underneath his sweetness and gentleness was the heat of a volcano. He was a man of excitable and fiery nature; but through high self-discipline he had converted the fire into a central glow and motive power of life, instead of permitting it to waste itself in useless passion. "He that is slow to anger" saith the sage, "is greater than the mighty, and he that ruleth his own spirit than he that taketh a city." Faraday was not slow to anger, but he completely ruled his own spirit, and thus, though he took no cities, he captivated all hearts.

“So that's it. You have now reached infatuation's fial destination - the complete and merciless devaluation of self.”

Elizabeth Gilbert book Eat, Pray, Love

Variant: You have now reached infatuation’s final destination—the complete and merciless
devaluation of self.
Source: Eat, Pray, Love

“The very nature of intelligence is sensitivity, and this sensitivity is love.”

Jiddu Krishnamurti (1895–1986) Indian spiritual philosopher

Vol. I, p. 113 
1980s, Letters to the Schools (1981, 1985)
Context: The very nature of intelligence is sensitivity, and this sensitivity is love. Without this intelligence there can be no compassion. Compassion is not the doing of charitable acts or social reform; it is free from sentiment, romanticism and emotional enthusiasm. It is as strong as death. It is like a great rock, immovable in the midst of confusion, misery and anxiety. Without this compassion no new culture or society can come into being. Compassion and intelligence walk together; they are not separate. Compassion acts through intelligence. It can never act through the intellect. Compassion is the essence of the wholeness of life.