Gerald James Whitrow quote: “He uses the phrase "fourth dimension" (4<sup>am</sup> dimensionem).”

“I believe it's what Abraham felt on the mountain and Einstein did when it turned out that E=mc2.
It's that moment, that brief epiphany when the universe opens up and shows us something, and in that instant we get just a sense of an order greater than Heaven and, as yet at least, beyond the grasp of Stephen Hawking. It doesn't require worship, but, I think, rewards intelligence, observation and enquiring minds.”

Terry Pratchett (1948–2015) English author

"I create gods all the time - now I think one might exist" (2008)
Context: So what shall I make of the voice that spoke to me recently as I was scuttling around getting ready for yet another spell on a chat-show sofa?
More accurately, it was a memory of a voice in my head, and it told me that everything was OK and things were happening as they should. For a moment, the world had felt at peace. Where did it come from?
Me, actually — the part of all of us that, in my case, caused me to stand in awe the first time I heard Thomas Tallis's Spem in alium, and the elation I felt on a walk one day last February, when the light of the setting sun turned a ploughed field into shocking pink; I believe it's what Abraham felt on the mountain and Einstein did when it turned out that E=mc2.
It's that moment, that brief epiphany when the universe opens up and shows us something, and in that instant we get just a sense of an order greater than Heaven and, as yet at least, beyond the grasp of Stephen Hawking. It doesn't require worship, but, I think, rewards intelligence, observation and enquiring minds.
I don't think I've found God, but I may have seen where gods come from.

“He saw that this process demanded a fourth dimension which he rejected”

Gerald James Whitrow (1912–2000) British mathematician

"Why Physical Space has Three Dimensions," British Journal for the Philosophy of Science, 6 #21 (May 1955)
Context: Perhaps the first to approach the fourth dimension from the side of physics, was the Frenchman, Nicole Oresme, of the fourteenth century. In a manuscript treatise, he sought a graphic representation of the Aristotelian forms, such as heat, velocity, sweetness, by laying down a line as a basis designated longitudo, and taking one of the forms to be represented by lines (straight or circular) perpendicular to this either as a latitudo or an altitudo. The form was thus represented graphically by a surface. Oresme extended this process by taking a surface as the basis which, together with the latitudo, formed a solid. Proceeding still further, he took a solid as a basis and upon each point of this solid he entered the increment. He saw that this process demanded a fourth dimension which he rejected; he overcame the difficulty by dividing the solid into numberless planes and treating each plane in the same manner as the plane above, thereby obtaining an infinite number of solids which reached over each other. He uses the phrase "fourth dimension" (4am dimensionem).

“In a mathematical sense, space is manifoldness, or combination of numbers. Physical space is known as the 3-dimension system. There is the 4-dimension system, there is the 10-dimension system.”

Charles Proteus Steinmetz (1865–1923) Mathematician and electrical engineer

New York Times interview (1911)

“Latin phrase meaning "It pleases to experiment", Ch. 4”
Placet experiri

Thomas Mann book The Magic Mountain

The Magic Mountain (1924)

“Cardan's originality in the matter seems to have been shown chiefly in four respects. First, he reduced the general equation to the type x^3 + bx = c; second, in a letter written August 4, 1539, he discussed the question of the irreducible case; third, he had the idea of the number of roots to be expected in the cubic; and, fourth, he made a beginning in the theory of symmetric functions. …With respect to the irreducible case… we have the cube root of a complex number, thus reaching an expression that is irreducible even though all three values of x turn out to be real. With respect to the number of roots to be expected in the cubic… before this time only two roots were ever found, negative roots being rejected. As to the question of symmetric functions, he stated that the sum of the roots is minus the coefficient of x2</sup”

David Eugene Smith (1860–1944) American mathematician

Source: History of Mathematics (1925) Vol.2, pp.461-464

“Perhaps the first to approach the fourth dimension from the side of physics, was the Frenchman, Nicole Oresme, of the fourteenth century.”

Gerald James Whitrow (1912–2000) British mathematician

"Why Physical Space has Three Dimensions," British Journal for the Philosophy of Science, 6 #21 (May 1955)
Context: Perhaps the first to approach the fourth dimension from the side of physics, was the Frenchman, Nicole Oresme, of the fourteenth century. In a manuscript treatise, he sought a graphic representation of the Aristotelian forms, such as heat, velocity, sweetness, by laying down a line as a basis designated longitudo, and taking one of the forms to be represented by lines (straight or circular) perpendicular to this either as a latitudo or an altitudo. The form was thus represented graphically by a surface. Oresme extended this process by taking a surface as the basis which, together with the latitudo, formed a solid. Proceeding still further, he took a solid as a basis and upon each point of this solid he entered the increment. He saw that this process demanded a fourth dimension which he rejected; he overcame the difficulty by dividing the solid into numberless planes and treating each plane in the same manner as the plane above, thereby obtaining an infinite number of solids which reached over each other. He uses the phrase "fourth dimension" (4am dimensionem).

“The Rule of Three, or Golden Rule of Arithmeticall whole Numbers. Be the three termes given 2 3 4. …To finde their fourth proporcionall Terme: that is to say, in such Reason to the third terme 4, as the second terme 3, is to the first terme 2 [Modern notation: \frac{x}{4} = \frac{3}{2}]. …Multiply the second terme 3, by the third terme 4, & giveth the product 12: which dividing by the first terme 2, giveth the Quotient 6: I say that 6 is the fourth proportional terme required.”

Simon Stevin (1548–1620) Flemish scientist, mathematician and military engineer

Disme: the Art of Tenths, Or, Decimall Arithmetike (1608)

“I despair not that, even here, in this region of Three Dimensions, your Lordship's art may make the Fourth Dimension visible to me; just as in the Land of Two Dimensions my Teacher's skill would fain have opened the eyes of his blind servant to the invisible presence of a Third Dimension, though I saw it not.”

Edwin Abbott Abbott book Flatland

Source: Flatland: A Romance of Many Dimensions (1884), PART II: OTHER WORLDS, Chapter 19. How, Though the Sphere Showed Me Other Mysteries of Spaceland, I Still Desired More; and What Came of It
Context: I despair not that, even here, in this region of Three Dimensions, your Lordship's art may make the Fourth Dimension visible to me; just as in the Land of Two Dimensions my Teacher's skill would fain have opened the eyes of his blind servant to the invisible presence of a Third Dimension, though I saw it not.Let me recall the past. Was I not taught below that when I saw a Line and inferred a Plane, I in reality saw a Third unrecognized Dimension, not the same as brightness, called "height"? And does it not now follow that, in this region, when I see a Plane and infer a Solid, I really see a Fourth unrecognized Dimension, not the same as colour, but existent, though infinitesimal and incapable of measurement?

“Rotation through a fourth dimension can’t affect a three-dimensional figure any more than you can shake letters off a printed page.”

Robert A. Heinlein (1907–1988) American science fiction author

And He Built a Crooked House (p. 33)
Short fiction, Off the Main Sequence (2005)

“However, Man as the appearance of utmost internality, of spirit, does not possess any point in front, at the side or the back, no fixed point at all towards which he could define a dimension. This explains why in expressing the spiritual, in making spirit an artifact, he will be forced to a moto-stereometric form of expression. This moto-stereometric form of expression represents the appearance of a 4-n dimensional world in a world of three dimensions.”

Theo van Doesburg (1883–1931) Dutch architect, painter, draughtsman and writer

quote by Van Doesburg, as cited in 'Great Masters of Art' in Eenheid no 392, 8 December 1917
1912 – 1919

“He uses the phrase "fourth dimension" (4am dimensionem).”

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