“The bottom line for mathematicians is that the architecture has to be right. In all the mathematics that I did, the essential point was to find the right architecture. It's like building a bridge. Once the main lines of the structure are right, then the details miraculously fit. The problem is the overall design.”

— Freeman Dyson

"Freeman Dyson: Mathematician, Physicist, and Writer". Interview with Donald J. Albers, The College Mathematics Journal, vol 25, no. 1, (January 1994)

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Freeman Dyson90

theoretical physicist and mathematician 1923

Proclus (412–485) Greek philosopher

Book III. Concerning Petitions and Axioms.
The Philosophical and Mathematical Commentaries of Proclus on the First Book of Euclid's Elements Vol. 2 (1789)

“I think that if you use long lines, they become – what could they be? The only thing they could be is either highways or architecture or bridges.”

Franz Kline (1910–1962) American painter

n.p.
1960's, Living Art, 1963

“The term architecture is used here to describe the attributes of a system as seen by the programmer, i. e., the conceptual structure and functional behavior, as distinct from the organization of the data flow and controls, the logical design, and the physical implementation. i. Additional details concerning the architecture”

Gene Amdahl (1922–2015) American physicist

Gene Amdahl, Gerrit Blaauw, and Fred Brooks (1964) " Architecture of the IBM System http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.72.7974&rep=rep1&type=pdf." in: IBM Journal of Research and Development Vol 8 (2) p. 87-101

Fred Brooks (1931) American computer scientist

Gene Amdahl, Gerrit Blaauw, and Fred Brooks (1964) "Architecture of the IBM System." in: IBM Journal of Research and Development Vol 8 (2) p. 87-101.

“The rules of logic are to mathematics what those of structure are to architecture.”

Bertrand Russell (1872–1970) logician, one of the first analytic philosophers and political activist

1900s, "The Study of Mathematics" (November 1907)

“There always is an architecture, whether it is defined in advance - as with modern computers - or found out after the fact - as with many older computers. For architecture is determined by behavior, not by words. Therefore, the term architecture, which rightly implies the notion of the arch, or prime structure, should not be understood as the vague overall idea. Rather, the product of the computer architecture, the principle of operations manual, should contain all detail which the user can know, and sooner or later is bound to know.”

Gerrit Blaauw (1924–2018) Dutch computer scientist

Source: Computer architecture (1972), p. 155

“I deliberately disregarded the right angle and rationalist architecture designed with ruler and square to boldly enter the world of curves and straight lines offered by reinforced concrete.… This deliberate protest arose from the environment in which I lived, with its white beaches, its huge mountains, its old baroque churches, and the beautiful suntanned women.”

Oscar Niemeyer (1907–2012) Brazilian architect

The Curves of Time: The Memoirs of Oscar Niemeyer (2000), p. 62.

“I must study politics and war, that our sons may have liberty to study mathematics and philosophy. Our sons ought to study mathematics and philosophy, geography, natural history and naval architecture, navigation, commerce and agriculture in order to give their children a right to study painting, poetry, music, architecture, statuary, tapestry and porcelain.”

John Quincy Adams (1767–1848) American politician, 6th president of the United States (in office from 1825 to 1829)

“I was planning to go into architecture. But when I arrived [to sign up for courses], architecture was filled up. Acting was right next to it. So I signed up for acting instead.”

Tom Selleck (1945) American actor

Televised interview broadcast the day before Laguna Heat was shown on cable TV.

“To a given right line to apply a parallelogram equal to a given triangle in an angle which is equal to a given right lined angle.
According to the Familiars of Eudemus, the inventions respecting the application, excess, and defect of spaces, is ancient and belongs to the Pythagoric muse. But junior mathematicians receiving names from these, transferred them to the lines which are called conic, because one of these they denominate a parabola, but the other an hyperbola, and the third an ellipsis; since, indeed these ancient and divine men, in the plane description of spaces on a terminated right line, regarded the things indicated by these appellations. For when a right line being proposed, you adapt a given space to the whole right line, then that space is said to be applied, but when you make the longitude of the space greater than that of the right line, then the space is said to exceed; but when less, so that some part of the right line is external to the described space, then the space is said to be deficient.”

Proclus (412–485) Greek philosopher

And after this manner, Euclid, in the sixth book, mentions both excess and defect. But in the present problem he requires application...
The Philosophical and Mathematical Commentaries of Proclus on the First Book of Euclid's Elements Vol. 2 (1789)

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