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Dr Faustus of Modern Physics - Department of Speech, Music and ...

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204 CHAPTER 46. MATHEMATICS AS MAGICS<br />

• The bird is an instrument functioning according to mathematical laws,<br />

<strong>and</strong> man has the power to reproduce an instrument like this with all its<br />

movements. (da Vinci)<br />

• Yes, we have to divide up our time like that, between our politics <strong>and</strong><br />

our equations. But to me our equations are far more important, for<br />

politics are only a matter <strong>of</strong> present concern. A mathematical equation<br />

st<strong>and</strong>s forever. (Einstein)<br />

• Mathematics allows for no hypocrisy <strong>and</strong> no vagueness. (Stendhal)<br />

• But the creative principle resides in mathematics. In a certain sense,<br />

therefore, I hold true that pure thought can grasp reality, as the ancients<br />

dreamed...Do not worry about your difficulties in mathematics, I assure<br />

you that mine are greater. (Einstein)<br />

• The underst<strong>and</strong>ing <strong>of</strong> mathematics is necessary for a sound grasp <strong>of</strong><br />

ethics. (Socrates)<br />

• Let no one ignorant <strong>of</strong> geometry enter here. (Inscription above Plato’s<br />

Academy)<br />

But there are other viewpoints:<br />

• I have hardly ever known a mathematician who was capable <strong>of</strong> reasoning.<br />

(Plato)<br />

• Mathematicians are like Frenchmen: whatever you say to them they<br />

translate into their own language <strong>and</strong> forthwith it is something entirely<br />

different. (Goethe)<br />

• As far as the laws <strong>of</strong> mathematics refer to reality, they are not certain;<br />

<strong>and</strong> as far as they are certain, they do not refer to reality. (Einstein)<br />

• Mathematicians, who are only mathematicians, have exact minds, provided<br />

all things are explained to them by means <strong>of</strong> definitions <strong>and</strong> axioms;<br />

otherwise they are inaccurate <strong>and</strong> insufferable, for they are only<br />

right when the principles are quite clear. (Pascal)

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