You can’t teach anybody anything, only make them realize the answers are already inside them.
GALILEO GALILEIWe must say that there are as many squares as there are numbers.
More Galileo Galilei Quotes
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We cannot teach people anything; we can only help them discover it within themselves.
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I do not feel obliged to believe that the same God who has endowed us with senses, reason, and intellect has intended us to forego their use.
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If I were again beginning my studies, I would follow the advice of Plato and start with mathematics.
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Who would dare assert that we know all there is to be known?
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All truths are easy to understand once they are discovered; the point is to discover them.
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The vain presumption of understanding everything can have no other basis than never having understood anything.
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Nonetheless, it moves.
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The greatest wisdom is to get to know oneself.
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Being infinitely amazed, so do I give thanks to God, Who has been pleased to make me the first observer of marvelous things, unrevealed to bygone ages.
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We see only the simple motion of descent, since that other circular one common to the Earth, the tower, and ourselves remains imperceptible.
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The deeper I go in considering the vanities of popular reasoning, the lighter and more foolish I find them.
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Long experience has taught me this about the status of mankind with regard to matters requiring thought.
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Earth, turning upon itself, moves round the Sun.
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In the sciences, the authority of thousands of opinions is not worth as much as one tiny spark of reason in an individual man.
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Facts which at first seem improbable will, even on scant explanation, drop the cloak which has hidden them and stand forth in naked and simple beauty.
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That sculpture is more admirable than painting for the reason that it contains relief and painting does not is completely false.
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In the future, there will be opened a gateway and a road to a large and excellent science into which minds more piercing than mine shall penetrate to recesses still deeper.
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I do not know what to say in a case so surprising, so unlooked for and so novel.
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To be humane, we must ever be ready to pronounce that wise, ingenious and modest statement ‘I do not know’.
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Nature does not act by means of many things when it can do so by means of a few.
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Nature is relentless and unchangeable, and it is indifferent as to whether its hidden reasons and actions are understandable to man or not.
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You cannot teach a person something he does not already know, you can only bring what he does know to his awareness.
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There are those who reason well, but they are greatly outnumbered by those who reason badly.
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I entertain no doubts as to the truth of the transfinites, which I have recognized with God’s help.
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God is known by nature in his works, and by doctrine in his revealed word.
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What greater stupidity can be imagined than that of calling jewels, silver, and gold “precious,” and earth and soil “base”?
GALILEO GALILEI