There is no certainty in sciences where one of the mathematical sciences cannot be applied, or which are not in relation with these mathematics.
Leonardo da Vinci
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Those who assert that the mathematical sciences say nothing of the beautiful or the good are in error. For these sciences say and prove a great deal about them; if they do not expressly mention them, but prove attributes which are their results or definitions, it is not true that they tell us nothing about them. The chief forms of beauty are order and symmetry and definiteness, which the mathematical sciences demonstrate in a special degree.
Aristotle
Mathematics is the gate and key of the sciences... Neglect of mathematics works injury to all knowledge, since he who is ignorant of it cannot know the other sciences or the things of this world. And what is worse, men who are thus Ignorant are unable to perceive their own ignorance and so do not seek a remedy.
Roger Bacon
In the natural sciences, language (mathematics) is a useful tool: like the microscope or telescope, it enables us to see what is otherwise invisible. In the social sciences, language (literalized metaphor) is an impediment: like a distorting mirror, it prevents us from seeing the obvious.
That is why in the natural sciences, knowledge can be gained only with the mastery of their special languages; whereas in human affairs, knowledge can be gained only by rejecting the pretentious jargons of the social sciences.Thomas Szasz
Mechanics is the paradise of the mathematical sciences because by means of it one comes to the fruits of mathematics.
Leonardo da Vinci
If in other sciences we should arrive at certainty without doubt and truth without error, it behooves us to place the foundations of knowledge in mathematics...
Roger Bacon
Vinci, Leonardo da
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