Mathematical Beauty Quotes

1. "Those who assert that the mathematical sciences say nothing of the beautiful or the good are in error. For these sciences say and prove a great deal about them; if they do not expressly mention them, but prove attributes which are their results or definitions, it is not true that they tell us nothing about them. The chief forms of beauty are order and symmetry and definiteness, which the mathematical sciences demonstrate in a special degree."
Author: Aristotle

2. "As for everything else, so for a mathematical theory: beauty can be perceived but not explained."
Author: Arthur Cayley

3. "No salvation comes from exhumed gods; we must penetrate deeper into substance. If I take a fossil, say, a trilobite, in my hand (marvelously preserved specimens are found in the quarries at the foot of the Casbah), I am transfixed by the impact of mathematical harmony. Purpose and beauty, as fresh as on the first day, are still seamlessly united in a medal engraved by a master's hand. The bios must have discovered the secret of tripartition in this primordial crab. Tripartition then frequently recurs, even without any natural kinship; figures, in transversal symmetry, dwell in the triptych.How many millions of years ago might this creature have animated an ocean that no longer exists? I hold its impression, a seal of imperishable beauty, in my hand. Some day, this seal, too, will decay or else burn out in cosmic conflagrations of the future. The matrix that formed it remains concealed in and operative from the law, untouched by death or fire."
Author: Ernst Jünger

4. "The genius of Laplace was a perfect sledge hammer in bursting purely mathematical obstacles; but, like that useful instrument, it gave neither finish nor beauty to the results. In truth, in truism if the reader please, Laplace was neither Lagrange nor Euler, as every student is made to feel. The second is power and symmetry, the third power and simplicity; the first is power without either symmetry or simplicity. But, nevertheless, Laplace never attempted investigation of a subject without leaving upon it the marks of difficulties conquered: sometimes clumsily, sometimes indirectly, always without minuteness of design or arrangement of detail; but still, his end is obtained and the difficulty is conquered."
Author: Laplace

5. "No doubt there are some who, when confronted with a line of mathematical symbols, however simply presented, can only see the face of a stern parent or teacher who tried to force into them a non-comprehending parrot-like apparent competence--a duty and a duty alone--and no hint of magic or beauty of the subject might be allowed to come through."
Author: Roger Penrose

6. "If nature leads us to mathematical forms of great simplicity and beauty—by forms, I am referring to coherent systems of hypotheses, axioms, etc.—to forms that no one has previously encountered, we cannot help thinking that they are "true," that they reveal a genuine feature of nature…. You must have felt this too: the almost frightening simplicity and wholeness of the relationships which nature suddenly spreads out before us and for which none of us was in the least prepared."
Author: Werner Heisenberg

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