A Quote by Mahlon Hoagland
Simplicity is indeed often the sign of truth and a criterion of beauty.
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Human relationships are about communicating. Business jargon should be banished in favor of simple English. Simplicity is a sign of truth and a criterion of beauty. Complexity can be a way of hiding the truth.
One thing that makes the adventure of working in our field particularly rewarding, especially in attempting to improve the theory, is that... a chief criterion for the selection of a correct hypothesis... seems to be the criterion of beauty, simplicity, or elegance.
Truth indeed is sacred; but, as Pilate said, "What is truth?" Show us the undoubted infallible criterion of absolute truth, and we will hold it as a sacred inviolable thing. But in the absence of that infallible criterion, we have all an equal right to grope about in our search of it, and no body and no school nor clique must be allowed to set up a standard of orthodoxy which shall bar the freedom of scientific inquiry.
The research worker, in his efforts to express the fundamental laws of Nature in mathematical form, should strive mainly for mathematical beauty. He should take simplicity into consideration in a subordinate way to beauty ... It often happens that the requirements of simplicity and beauty are the same, but where they clash, the latter must take precedence.
You may object that by speaking of simplicity and beauty I am introducing aesthetic criteria of truth, and I frankly admit that I am strongly attracted by the simplicity and beauty of mathematical schemes which nature presents us. You must have felt this too: the almost frightening simplicity and wholeness of the relationship, which nature suddenly spreads out before us.
Contradiction itself, far from always being a criterion of error, is sometimes a sign of truth.
You can always recognize truth by its beauty and simplicity.
Outward beauty is a true sign of inner goodness. This loveliness, indeed, is impressed upon the body in varying degrees as a token by which the soul can be recognized for what it is, just as with trees the beauty of the blossom testifies to the goodness of the fruit.
The teleology of the Universe is directed to the production of Beauty... The type of Truth required for the final stretch of Beauty is a discovery and not a recapitulation... Apart from Beauty, Truth is neither good, nor bad... Truth matters because of beauty.
Beauty of style and harmony and grace and good rhythm depend on simplicity - I mean the true simplicity of a rightly and nobly ordered mind and character, not that other simplicity which is only a euphemism for folly.
I now want to tell three stories about advances in twentieth-century physics. A curious fact emerges in these tales: time and again physicists have been guided by their sense of beauty not only in developing new theories but even in judging the validity of physical theories once they are developed. Simplicity is part of what I mean by beauty, but it is a simplicity of ideas, not simplicity of a mechanical sort that can be measured by counting equations or symbols.
We used to have just one criterion and that was profit, and then another criterion was added - social welfare. Now we have to add the third important criterion, and that is nature and the environment.
The criterion of simplicity requires that the minimum number of assumptions be postulated.
Simplicity and beauty are the signs not of truth but of a well-constructed approximate model of a limited domain of phenomena.
The most natural beauty in the world is honesty and moral truth. For all beauty is truth. True features make the beauty of the face; true proportions, the beauty of architecture; true measures, the beauty of harmony and music.
Grandeur and beauty are so very opposite, that you often diminish the one as you increase the other. Variety is most akin to the latter, simplicity to the former.
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