Mathematics is the key and door to the sciences.

 

Mathematics is the key and door to the sciences.
--
As quoted in Building Fluency Through Practice and Performance (2008) by Timothy Rasinski and Lorraine Griffith, p. 64

 

Galileo Galilei

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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

 

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

 

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

 

One reason why mathematics enjoys special esteem, above all other sciences, is that its laws are absolutely certain and indisputable, while those of other sciences are to some extent debatable and in constant danger of being overthrown by newly discovered facts.

 

Albert Einstein

 

Mathematics is the queen of the sciences.

 

Carl Friedrich Gauss