Science and the Unseen World (1929)
Context: It remains a real world if there is a background to the symbols—an unknown quantity which the mathematical symbol x stands for. We think we are not wholly cut off from this background. It is to this background that our own personality and consciousness belong, and those spiritual aspects of our nature not to be described by any symbolism... to which mathematical physics has hitherto restricted itself.<!--III, p.37-38
“Our experience hitherto justifies us in trusting that nature is the realization of the simplest that is mathematically conceivable.”
from On the Method of Theoretical Physics, p. 183. The Herbert Spencer Lecture, delivered at Oxford (10 June 1933). Quoted in Einstein's Philosophy of Science http://plato.stanford.edu/entries/einstein-philscience/
1930s
Context: Our experience hitherto justifies us in trusting that nature is the realization of the simplest that is mathematically conceivable. I am convinced that purely mathematical construction enables us to find those concepts and those lawlike connections between them that provide the key to the understanding of natural phenomena. Useful mathematical concepts may well be suggested by experience, but in no way can they be derived from it. Experience naturally remains the sole criterion of the usefulness of a mathematical construction for physics. But the actual creative principle lies in mathematics. Thus, in a certain sense, I take it to be true that pure thought can grasp the real, as the ancients had dreamed.
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Albert Einstein 702
German-born physicist and founder of the theory of relativi… 1879–1955Related quotes
Source: 20th century, Popular Scientific Lectures, (Chicago, 1910), p. 205; On the space of experience.
The Ethics of Belief (1877), The Limits Of Inference
Context: A little reflection will show us that every belief, even the simplest and most fundamental, goes beyond experience when regarded as a guide to our actions. … Even the fundamental "I am," which cannot be doubted, is no guide to action until it takes to itself "I shall be," which goes beyond experience. The question is not, therefore, "May we believe what goes beyond experience?" for this is involved in the very nature of belief; but "How far and in what manner may we add to our experience in forming our beliefs?"
“Nature always uses the simplest means to accomplish its effects.”
Formulation of the principle of least action, as stated in Mémoires de l'académie royale des sciences (Accord between different laws of Nature that seemed incompatible), 1748, 417-426 (15 April 1744).
Source: Dictionary of Burning Words of Brilliant Writers (1895), P. 190.
Source: The Fabric of the Cosmos: Space, Time, and the Texture of Reality
Source: Against a Scientific Justification of Animal Experiments, p. 340
“My conviction was justified: art, that which lasts, is based on mathematics.”
Cubism was born