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The application of algebra to geometry ... has immortalized the name of Descartes, and constitutes the greatest single step ever made in the progress of the exact sciences.
Persons of genius, it is true, are, and are always likely to be, a small minority; but in order to have them, it is necessary to preserve the soil in which they grow.
Solitude in the presence of natural beauty and grandeur is the cradle of thought and aspirations which are not only good for the individual, but which society can ill do without.
We have a right, also, in various ways, to act upon our unfavorable opinion of anyone, not to the oppression of his individuality, but in the exercise of ours.
Every man who says frankly and fully what he thinks is so far doing a public service. We should be grateful to him for attacking most unsparingly our most cherished opinions.
No one can be a great thinker who does not recognize that as a thinker it is his first duty to follow his intellect to whatever conclusions it may lead.
But society has now fairly got the better of individuality; and the danger which threatens human nature is not the excess, but the deficiency, of personal Impulses and preferences.
It would not be easy even for an unbeliever, to find a better translation of the rule of virtue from the abstract into the concrete, than to endeavor so to live that Christ would approve our life.
In the human mind, one-sidedness has always been the rule, and many-sidedness the exception. Hence, even in revolutions of opinion, one part of the truth usually sets while another rises.
To say that secular means irreligious implies that all the arts and sciences are irreligious, and is very like saying that all professions except that of the law are illegal.
Whatever crushes individuality is despotism, by whatever name it may be called and whether it professes to be enforcing the will of God or the injunctions of men.
To mistake money for wealth, is the same sort of error as to mistake the highway which may be the easiest way of getting to your house or lands, for the house and lands themselves.
All desirable things... are desirable either for the pleasure inherent in themselves, or as a means to the promotion of pleasure and the prevention of pain.
There is one plain rule of life. Try thyself unweariedly till thou findest the highest thing thou art capable of doing, faculties and outward circumstances being both duly considered, and then do it.
The strongest of all arguments against the interference of the public with purely personal conduct, is that when it does interfere, the odds are that it interferes wrongly, and in the wrong place.
The dictum that truth always triumphs over persecution is one of the pleasant falsehoods which men repeat after one another till they pass into commonplaces, but which all experience refutes.
As for charity, it is a matter in which the immediate effect on the persons directly concerned, and the ultimate consequence to the general good, are apt to be at complete war with one another.
The principle itself of dogmatic religion, dogmatic morality, dogmatic philosophy, is what requires to be booted out; not any particular manifestation of that principle.
The only power deserving the name is that of masses, and of governments while they make themselves the organ of the tendencies and instincts of masses.
A general State education is a mere contrivance for moulding people to be exactly like one another, and as the mould in which it casts them is that which pleases the dominant power in the government.