"The kind of knowledge which is supported only……" — Leonhard Euler
"The kind of knowledge which is supported only by observations and is not yet proved must be carefully distinguished from the truth; it is gained by induction, as we usually say. Yet we have seen cases in which mere induction led to error. Therefore, we should take great care not to accept as true such properties of the numbers which we have discovered by observation and which are supported by induction alone. Indeed, we should use such a discovery as an opportunity to investigate more exactly the properties discovered and to prove or disprove them; in both cases we may learn something useful."
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Leonhard Euler
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14 Quotes by Leonhard Euler
Leonhard Euler has 14 quotes on this site.
A few more worth reading:
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If a nonnegative quantity was so small that it is smaller than any given one, then it certainly could not…
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Although to penetrate into the intimate mysteries of nature and thence to learn the true causes of phenomena is not…
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Logic is the foundation of the certainty of all the knowledge we acquire.
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Nothing takes place in the world whose meaning is not that of some maximum or minimum.
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Madam, I have come from a country where people are hanged if they talk.
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For the sake of brevity, we will always represent this number 2.718281828459... by the letter e.
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Now I will have less distraction.
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After exponential quantities the circular functions, sine and cosine, should be considered because they arise when imaginary quantities are involved…
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... I soon found an opportunity to be introduced to a famous professor Johann Bernoulli. ... True, he was very…
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Notable enough, however, are the controversies over the series 1 - 1 + 1 - 1 + 1 - ...…
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Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we…
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For since the fabric of the universe is most perfect and the work of a most wise Creator, nothing at…
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More Accept Quotes
This quote is filed under Accept Quotes,
one of 4,888 quotes in that category. Here are a few more:
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Today we often think that before we start living a religious life we have first to accept the creedal doctrines…
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Choice of attention - to pay attention to this and ignore that - is to the inner life what choice…
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If two friends ask you to judge a dispute, don't accept, because you will lose one friend; on the other…
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The power of the white world is threatened whenever a black man refuses to accept the white world's definitions.
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Sometimes I have wrinkles, in the morning. It depends on what kind of night that I had. I accept myself…
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I tell you the solemn truth, that the doctrine of the Trinity is not so difficult to accept for a…
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But the leaders of the OIC could not even accept Mahathir's proposal, yet they talk about respect and honour.
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Any man who does not accept the conditions of life sells his soul.
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During the campaign for re-election, Barack Obama at least made vague references to a willingness to accept $3 trillion of…
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I am incapable of conceiving infinity, and yet I do not accept finity.
— Simone de Beauvoir
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