A Quote by Galileo Galilei
The laws of Nature are written in the language of mathematics...the symbols are triangles, circles and other geometrical figures, without whose help it is impossible to comprehend a single word.
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Philosophy [nature] is written in that great book which ever is before our eyes -- I mean the universe -- but we cannot understand it if we do not first learn the language and grasp the symbols in which it is written. The book is written in mathematical language, and the symbols are triangles, circles and other geometrical figures, without whose help it is impossible to comprehend a single word of it; without which one wanders in vain through a dark labyrinth.
Galileo wrote that 'the book of nature is written in the language of mathematics; without its help it is impossible to comprehend a single word of it.'
The arithmetical symbols are written diagrams and the geometrical figures are graphic formulas.
The laws of nature are written by the hand of God in the language of mathematics.
We can... treat only the geometrical aspects of mathematics and shall be satisfied in having shown that there is no problem of the truth of geometrical axioms and that no special geometrical visualization exists in mathematics.
The Universe is a grand book which cannot be read until one first learns to comprehend the language and become familiar with the characters in which it is composed. It is written in the language of mathematics.
A planar geometrical figure with more than three vertices can be decomposed into a set of triangles, and it can be reconstructed from a set of triangles.
... it is impossible to explain honestly the beauties of the laws of nature in a way that people can feel, without their having some deep understanding of mathematics. I am sorry, but this seems to be the case.
One can understand nature only when one has learned the language and the signs in which it speaks to us; but this language is mathematics and these signs are methematical figures.
With the exception of the geometrical series, there does not exist in all of mathematics a single infinite series the sum of which has been rigorously determined. In other words, the things which are the most important in mathematics are also those which have the least foundation.
One cannot understand... the universality of laws of nature, the relationship of things, without an understanding of mathematics. There is no other way to do it.
The book of nature is written in the language of mathematics.
One cannot inquire into the foundations and nature of mathematics without delving into the question of the operations by which the mathematical activity of the mind is conducted. If one failed to take that into account, then one would be left studying only the language in which mathematics is represented rather than the essence of mathematics.
Tree of Liberty: A tree set up by the people, hung with flags and devices, and crowned with a cap of liberty. The Americans of the United States planted poplars and other trees during the war of independence, "as symbols of growing freedom." The Jacobins in Paris planted their first tree of liberty in 1790. The symbols used in France to decorate their trees of liberty were tricoloured ribbons, circles to indicate unity, triangles to signify equality, and a cap of liberty. Trees of liberty were planted by the Italians in the revolution of 1848.
I think that there are non-physical laws all right: genuine (if not strict) laws written in the language of biology, economics, and so on. But I don't regard that as a contentious issue. Even reductionists about chemistry will think that there are special chemical laws whose formulation makes essential use of chemical terminology.
If they would, for Example, praise the Beauty of a Woman, or any other Animal, they describe it by Rhombs, Circles, Parallelograms, Ellipses, and other geometrical terms.
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