A Quote by James Joseph Sylvester
[Mathematics] unceasingly calls forth the faculties of observation and comparison; one of its principal weapons is induction: it has frequent recourse to trial and verification; and it affords a boundless scope for the exercise of the highest efforts of imagination and invention.
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To have frequent recourse to narrative betrays great want of imagination.
As an exercise of the reasoning faculties, pure mathematics is an admirable exercise, because it consists of reasoning alone and does not encumber the student with any exercise of judgment.
It is the merest truism, evident at once to unsophisticated observation, that mathematics is a human invention.
I swear by swadeshi as it affords occasion for ample exercise of all our faculties and it tests every one of the millions of men and women, young and old.
It is here [in mathematics] that the artist has the fullest scope of his imagination.
As the prerogative of Natural Science is to cultivate a taste for observation, so that of Mathematics is, almost from the starting point, to stimulate the faculty of invention.
If science were nothing more than the best means of teaching the love of the simple fact, the indispensable need of verification, of careful and accurate observation and statement, its value would be of the highest order.
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A man's happiness consists in the free exercise of his highest faculties.
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"Fair, kind, and true" is all my argument,
"Fair, kind, and true" varying to other words;
And in this change is my invention spent,
Three themes in one, which wondrous scope affords.
The general mental qualification necessary for scientific advancement is that which is usually denominated "common sense," though added to this, imagination, induction, and trained logic, either of common language or of mathematics, are important adjuncts.
I have often been surprised that Mathematics, the quintessence of Truth, should have found admirers so few and so languid. Frequent consideration and minute scrutiny have at length unravelled the cause: viz . that though Reason is feasted, Imagination is starved; whilst Reason is luxuriating in its proper Paradise, Imagination is wearily travelling on a dreary desert.
But I do not admit the comparison between your slaves and even the lowest class of European free labourers, for the former are allowed the exercise of no faculties but those which they enjoy in common with the brutes that perish.
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Continuing a Lenten series on prayer: Prayer is co-operation with God. It is the purest exercise of the faculties God has given us - an exercise that links these faculties with the Maker to work out the intentions He had in mind in their creation.
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