The book of nature is written in the language of mathematics.
Nature is written in mathematical language.
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.
Mathematics is not just a language. Mathematics is a language plus reasoning.
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.
Mathematics is a language plus reasoning. It's like a language plus logic. Mathematics is a tool for reasoning.
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.
Equations are the devil's sentences.
Mathematics is a language. We want scientists to be able to read it, speak it, and write it. But we are are not training them to be grammarians.
All mathematics is is a language that is well tuned, finely honed, to describe patterns; be it patterns in a star, which has five points that are regularly arranged, be it patterns in numbers like 2, 4, 6, 8, 10 that follow very regular progression.
Mathemata mathematicis scribuntur Mathematics is written for mathematicians De Revolutionibus
It is hard to know what you are talking about in mathematics, yet no one questions the validity of what you say. There is no other realm of discourse half so queer.
When we talk mathematics, we may be discussing a secondary language built on the primary language of the nervous system.
Just as a poet often has license from the rules of grammar and pronunciation, we should like to ask for 'physicists' license from the rules of mathematics in order to express what we wish to say in as simple a manner as possible.
One main reason why the separate nature of the science of operations has been little felt, and in general little dwelt on, is the shifting meaning of many of the symbols used in mathematical notation. First, the symbols of operation are frequently also the symbols of the results of operations.
To speak algebraically, Mr. M. is execrable, but Mr. G. is (x + 1)- ecrable.
In mathematical analysis we call x the undetermined part of line a: the rest we don't call y, as we do in common life, but a-x. Hence mathematical language has great advantages over the common language.
So-called "natural language" is wonderful for the purposes it was created for, such as to be rude in, to tell jokes in, to cheat or to make love in (and Theorists of Literary Criticism can even be content-free in it), but it is hopelessly inadequate when we have to deal unambiguously with situations of great intricacy, situations which unavoidably arise in such activities as legislation, arbitration, mathematics or programming.
It is however pretty evident, on general principles, that in devising for mathematical truths a new form in which to record and throw themselves out for actual use, views are likely to be induced, which should again react on the more theoretical phase of the subject.
Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms.
I think the really cool and compelling thing about math and physics is that it opens up entry to all these hypotheticals - or at least, it gives you the language to talk about them. But at the same time, if a scenario is completely disconnected from reality, it's not all that interesting.
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.
Mathematics is only the art of saying the same thing in different words.
Now the denominator ... why don't they just call it the bottom number? The denominator ... that sounds like a Schwarzenegger movie doesn't it? [impersonating Arnold Schwarzenegger] I am the Denominator. I'll give your leg a compound fraction!
Geometry in every proposition speaks a language which experience never dares to utter; and indeed of which she but halfway comprehends the meaning.
