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.
Interpretation
The quote emphasizes the importance of truth in mathematics and how it sustains intellectual rigor and motivation in learning.
Bertrand Russell highlights that among the essential virtues, the love of truth stands out, particularly in mathematics. He suggests that this discipline not only serves as an academic pursuit but also fosters the habit of seeking truth, which is crucial for nurturing a profound and lasting understanding in learners. Therefore, the essence of teaching and learning mathematics should focus on maintaining this perspective of truthfulness to enhance one's intellectual engagement.
In practice
During a math lecture to inspire students about the purpose of their studies.
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.
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.
Find more pleasure in intelligent dissent than in passive agreement, for, if you value intelligence as you should, the former implies a deeper agreement than the latter.
In order to dream so far, is it enough to read? Isn't it necessary to write? Write as in our schoolboy past, in those days when, as Bonnoure says, the letters wrote themselves one by one, either in their gibbosity or else in their pretentious elegance? In those days, spelling was a drama, our drama of culture at work in the interior of a word.
Therefore only through education does one come to be dissatisfied with his own knowledge, and only through teaching others does one come to realize the uncomfortable inadequacy of his knowledge. Being dissatisfied with his own knowledge, one then realizes that the trouble lies with himself, and realizing the uncomfortable inadequacy of his knowledger.
September 11 We thought we'd outdistanced history Told our children it was nowhere near; Even when history struck Columbine, It didn't happen here. We took down the maps in the classroom, And when they were safely furled, We told the young what they wanted to hear, That they were immune from a menacing world. But history isn't a folded-up map, Or an unread textbook tome; Now we know history's a fireman's child Waiting at home alone.
If you want me to give you a two-hour presentation, I am ready today. If you want only a five-minute speech, it will take me two weeks to prepare.
I don't know where to start," one [writing student] will wail. Start with your childhood, I tell them. Plug your nose and jump in, and write down all your memories as truthfully as you can. Flannery O' Connor said that anyone who has survived childhood has enough material to write for the rest of his or her life. Maybe your childhood was grim and horrible, but grim and horrible is Okay if it is well done. Don't worry about doing it well yet, though. Just get it down.
In school, many of us procrastinate and then successfully cram for tests. We get the grades and degrees we need to get the jobs we want, even if we fail to get a good general education.
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