No human investigation can be called real science if it cannot be demonstrated mathematically.
Therefore, O students, study mathematics and do not build without foundations.
Mechanics is the paradise of the mathematical sciences because by means of it one comes to the fruits of mathematics.
Now do you not see that the eye embraces the beauty of the whole world? It counsels and corrects all the arts of mankind... it is the prince of mathematics, and the sciences founded on it are absolutely certain. It has measured the distances and sizes of the stars it has discovered the elements and their location... it has given birth to architecture and to perspective and to the divine art of painting.
Whoever despises the high wisdom of mathematics nourishes himself on delusion and will never still the sophistic sciences whose only product is an eternal uproar.
Those who condemn the supreme certainty of mathematics feed on confusion, and can never silence the contradictions of the sophistical sciences which lead to eternal quackery.
He who loves practice without theory is like the sailor who boards ship without a rudder and compass and never knows where he may cast.
Inequality is the cause of all local movements.
Perspective is a most subtle discovery in mathematical studies, for by means of lines it causes to appear distant that which is near, and large that which is small.
The merit of painting lies in the exactness of reproduction. Painting is a science and all sciences are based on mathematics. No human inquiry can be a science unless it pursues its path through mathematical exposition and demonstration.
He who does not understand the supreme certainty of mathematics is wallowing in confusion.
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