Intellectuals Must Craft Their Minds Through Study
君子曰:學不可以已。青、取之於藍,而青於藍;冰、水為之,而寒於水。木直中繩,輮以為輪,其曲中規,雖有槁暴,不復挺者,輮使之然也。故木受繩則直,金就礪則利,君子博學而日參省乎己,則知明而行無過矣。[Translated] The noble person says: Learning must never cease. Blue comes from the indigo plant, yet it is bluer than indigo. Ice is made from water, yet it is colder than water. Wood as straight as a plumb line may be bent into a wheel that is as round as if it were drawn with a compass, and, even after the wood has dried, it will not straighten out again because this is the way it has been bent. Thus wood marked by the plumb line will become straight, and metal that is put to the whetstone will become sharp. The noble person who studies widely and examines himself each day will become clear in his knowing and faultless in his conduct.
The Mental Benefits of Studying Mathematics
These Disciplines [mathematics] serve to inure and corroborate the Mind to a constant Diligence in Study; to undergo the Trouble of an attentive Meditation, and cheerfully contend with such Difficulties as lie in the Way. They wholly deliver us from a credulous Simplicity, most strongly fortify us against the Vanity of Scepticism, effectually restrain from a rash Presumption, most easily incline us to a due Assent, perfectly subject us to the Government of right Reason, and inspire us with Re...Understanding, meditation, abstraction, harmony, peace of mind... the list goes on and on.