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Well, since paradoxes are at hand, let us see how it might be demonstrated that in a finite continuous extension it is not impossible for infinitely many voids to be found.
Galileo Galilei
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Galileo Galilei
Age: 77 †
Born: 1564
Born: February 15
Died: 1642
Died: January 8
Astrologer
Astronomer
Engineer
Inventor
Mathematician
Philosopher
Physicist
Polymath
Scientist
University Teacher
Galileo
G. Galilei
Hands
Infinitely
Wells
Finite
Might
Paradox
Voids
Well
Void
Paradoxes
Many
Impossible
Demonstrated
Hand
Extension
Since
Extensions
Found
Continuous
More quotes by Galileo Galilei
But some, besides allegiance to their original error, possess I know not what fanciful interest in remaining hostile not so much toward the things in question as toward their discoverer.
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The book of nature is written in the language of mathematics.
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I think that in the discussion of natural problems we ought to begin not with the Scriptures, but with experiments, and demonstrations.
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To excite in us tastes, odors, and sounds I believe that nothing is required in external bodies except shapes, numbers, and slow or rapid movements. ... if ears, tongues, and noses were removed, shapes and numbers and motions would remain, but not odors or tastes or sounds.
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Nothing physical which sense-experience sets before our eyes, or which necessary demonstrations prove to us, ought to be called in question (much less condemned) upon the testimony of biblical passages...
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But, because my private lectures and domestic pupils are a great hinderance and intteruption of my studies, I wish to live entirely exempt from the former, and in great measure from the latter. ... in short, I should wish to gain my bread from my writings.
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Philosophy itself cannot but benefit from our disputes, for if our conceptions prove true, new achievements will be made if false, their refutation will further confirm the original doctrines.
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When the moon is ninety degrees away from the sun it sees but half the earth illuminated (the western half). For the other (the eastern half) is enveloped in night. Hence the moon itself is illuminated less brightly from the earth, and as a result its secondary light appears fainter to us.
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Mathematics is the language with which God has written the universe.
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You can't teach anybody anything, only make them realize the answers are already inside them.
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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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Long experience has taught me this about the status of mankind with regard to matters requiring thought: the less people know and understand about them, the more positively they attempt to argue concerning them, while on the other hand to know and understand a multitude of things renders men cautious in passing judgment upon anything new.
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I would beg the wise and learned fathers [of the church] to consider with all diligence the difference which exists between matters of mere opinion and matters of demonstration.
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It is surely harmful to souls to make it a heresy to believe what is proved.
Galileo Galilei
In time you may discover everything that can be discovered, and still your progress will only be progress away from humanity. The distance between you and them can one day become so great that your joyous cry over some new gain could be answered by an universal shriek of horror.
Galileo Galilei
The vain presumption of understanding everything can have no other basis than never having understood anything. For anyone who had ever experienced just once the perfect understanding of one single thing, and had truly tasted how knowledge is accomplished, would recognize that of the infinity of other truths he understands nothing.
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It is very pious to say and prudent to affirm that the holy Bible can never speak untruth -- whenever its true meaning is understood. But I believe nobody will deny that it is often very abstruse, and may say things which are quite different from wha.
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[Copernicus] did not ignore the Bible, but he knew very well that if his doctrine were proved, then it could not contradict the Scriptures when they were rightly understood.
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The Milky Way is nothing else but a mass of innumerable stars planted together in clusters.
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Surely, God could have caused birds to fly with their bones made of solid gold, with their veins full of quicksilver, with their flesh heavier than lead, and with their wings exceedingly small. He did not, and that ought to show something. It is only in order to shield your ignorance that you put the Lord at every turn to the refuge of a miracle.
Galileo Galilei