One of the chief triumphs of modern mathematics consists in having discovered what mathematics really is.
Interpretation
Mathematics has unveiled its true essence through modern advancements.
Bertrand Russell emphasizes that a significant achievement in contemporary mathematics is the understanding of its fundamental nature. This insight reflects the evolution of mathematical thought and its implications for understanding reality.
In practice
In a lecture on the foundations of mathematics, this quote can highlight the importance of understanding core concepts.
St. Paul introduced an entirely novel view of marriage, that it existed primarily to prevent the sin of fornication. It is just as if one were to maintain that the sole reason for baking bread is to prevent people from stealing cake.
Freedom comes only to those who no longer ask of life that it shall yield them any of those personal goods that are subject to the mutations of time.
Of these austerer virtues the love of truth is the chief, and in mathematics, more than elsewhere, the love of truth may find encouragement for waning faith. Every great study is not only an end in itself, but also a means of creating and sustaining a lofty habit of mind; and this purpose should be kept always in view throughout the teaching and learning of mathematics.
At all times, except when a monarch could enforce his will, war has been facilitated by the fact that vigorous males, confident of victory, enjoyed it, while their females admired them for their prowess.
Moreover, the attitude that one ought to believe such and such a proposition, independently of the question whether there is evidence in its favor, is an attitude which produces hostility to evidence and causes us to close our minds to every fact that does not suit our prejudices.
Extreme hopes are born from extreme misery.
When you read the Bible, you must think that here and now, God is speaking with me
Cherish your solitude. Take trains by yourself to places you have never been. Sleep out alone under the stars. Learn how to drive a stick shift. Go so far away that you stop being afraid of not coming back. Say no when you donβt want to do something. Say yes if your instincts are strong, even if everyone around you disagrees. Decide whether you want to be liked or admired. Decide if fitting in is more important than finding out what youβre doing here. Believe in kissing.
Information is not knowledge, and knowledge is not wisdom. Reading - even browsing - an old book can yield sustenance denied by a database search. Patience is a virtue, gluttony a sin.
O, You who are ever giving life to all life, moving all creatures, root of all things, washing them clean, wiping out their mistakes, healing their wounds, You are our true life, luminous, wonderful, awakening the heart from its ancient sleep.
Health, wealth, beauty, and genius are not created; they are only manifested by the arrangement of your mind-that is, by your concept of yourself, and your concept of yourself is all that you accept and consent to as true.
There's no reason to be the richest man in the cemetery. You can't do any business from there.
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