“My work is based on a tradition quite distinct from the Eckersberg tradition, a Nordic line of development that had never been clearly and consistently defined in the literature on art. This line is not a straight one; it has the strangest and most fascinating twists and curves, and includes such artists as Edvard Munch, Ernest Josephson, Hill, Hansen Jacobsen, Johannes Holbek, Jens Lund, and Emile Nolde. Not all of them equally well known.”

— Asger Jorn

Statement in the late 1960s, as quoted in Fortaelleren Asger Jorn (1984) by Gunnar Jespersen, p. 121
1959 - 1973, Various sources

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Asger Jorn 48

Danish artist 1914–1973

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“But if some mind very different from ours were to look upon some property of some curved line as we do on the evenness of a straight line, he would not recognize as such the evenness of a straight line; nor would he arrange the elements of his geometry according to that very different system, and would investigate quite other relationships as I have suggested in my notes.
We fashion our geometry on the properties of a straight line because that seems to us to be the simplest of all. But really all lines that are continuous and of a uniform nature are just as simple as one another. Another kind of mind which might form an equally clear mental perception of some property of any one of these curves, as we do of the congruence of a straight line, might believe these curves to be the simplest of all, and from that property of these curves build up the elements of a very different geometry, referring all other curves to that one, just as we compare them to a straight line. Indeed, these minds, if they noticed and formed an extremely clear perception of some property of, say, the parabola, would not seek, as our geometers do, to rectify the parabola, they would endeavor, if one may coin the expression, to parabolify the straight line.”

Roger Joseph Boscovich (1711–1787) Croat-Italian physicist

"Boscovich's mathematics", an article by J. F. Scott, in the book Roger Joseph Boscovich (1961) edited by Lancelot Law Whyte.
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“It is said that my art has some typically Nordic features: the curving lines, the convolutions, the magical masks and staring eyes that appear in myths and folk art. This may be. My interest in the dynamics of Jugend style probably also comes into it.”

Asger Jorn (1914–1973) Danish artist

Quote of Jorn, from: Tecken för liv, tecken till liv [Signs of life, the characters to life], interview by Marita Lindgren-Fridell, in Konstrevy (1963)
1959 - 1973, Various sources

“Every artist works within a tradition. I am a native of Russia. My Russian soul has always been close to the art of old Russia, the Russian icons, Byzantine art, the mosaics in Ravenna, Venice, Rome, and to Romanesque art. All these artworks produced a religious vibration in my soul, as I sensed in them a deep spiritual language. This art was my tradition.”

Alexej von Jawlensky (1864–1941) Russian painter

quote from his letter to the National Socialist State Cultural administration, 1939; Jawlensky asked permission to exhibit his painting art, which was turned down by the Nazi regime
Source: 1936 - 1941, Life Memories' (1938), p. 24

“In the field of non-Euclidean geometry, Riemann… began by calling attention to a distinction that seems obvious once it is pointed out: the distinction between an unbounded straight line and an infinite line. The distinction between unboundedness and infiniteness is readily illustrated. A circle is an unbounded figure in that it never comes to an end, and yet it is of finite length. On the other hand, the usual Euclidean concept of a straight line is also unbounded in that it never reaches an end but is of infinite length.
…he proposed to replace the infiniteness of the Euclidean straight line by the condition that it is merely unbounded. He also proposed to adopt a new parallel axiom… In brief, there are no parallel lines. This … had been tried… in conjunction with the infiniteness of the straight line and had led to contradictions. However… Riemann found that he could construct another consistent non-Euclidean geometry.”

Morris Kline (1908–1992) American mathematician

Source: Mathematical Thought from Ancient to Modern Times (1972), p. 454

“The straight line belongs to Man. The curved line belongs to God.”

Antoni Gaudí (1852–1926) Catalan architect

The real author seems to be Pierre Albert-Birot https://books.google.com/books?id=3Ul51CwjUOcC&pg=PA290&dq=%22the+curved+line+that+belongs+let%27s+say+to+God+and+the+straight+line+that+belongs+to+man%22&hl=de&sa=X&redir_esc=y#v=onepage&q=%22the%20curved%20line%20that%20belongs%20let%27s%20say%20to%20God%20and%20the%20straight%20line%20that%20belongs%20to%20man%22&f=false.
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