A Quote by Plato

Arithmetic is a kind of knowledge in which the best natures should be trained, and which must not be given up. — © Plato
Arithmetic is a kind of knowledge in which the best natures should be trained, and which must not be given up.
The mathematical is that evident aspect of things within which we are always already moving and according to which we experience them as things at all, and as such things. The mathematical is this fundamental position we take toward things by which we take up things as already given to us, and as they must and should be given. Therefore, the mathematical is the fundamental presupposition of the knowledge of things.
Every man's powers have relation to some kind of work; and whenever he finds that kind of work which he can do best--that to which his powers are best adapted--he finds that which will give him the best development, and that by which he can best build up, or make, his manhood.
I heartily accept the motto, "That government is best which governs least"; and I should like to see it acted up to more rapidly and systematically. Carried out, it finally amounts to this, which also I believe — "That government is best which governs not at all"; and when men are prepared for it, that will be the kind of government which they will have. Government is at best but an expedient; but most governments are usually, and all governments are sometimes, inexpedient.
One of the two is almost always a prevailing tendency of every author: either not to say some things which certainly should be said, or to say many things which did not need to be said. The first is the original sin of synthetic natures, the latter of analytical natures.
The kind of knowledge which is supported only by observations and is not yet proved must be carefully distinguished from the truth; it is gained by induction, as we usually say. Yet we have seen cases in which mere induction led to error. Therefore, we should take great care not to accept as true such properties of the numbers which we have discovered by observation and which are supported by induction alone. Indeed, we should use such a discovery as an opportunity to investigate more exactly the properties discovered and to prove or disprove them; in both cases we may learn something useful.
Actors are given songs that suit their voice and skill. At the same time, those songs which have a complicated tune and need expertise to perform should be given to trained singers.
We must observe that the knowledge of God which we are invited to cultivate is not that which, resting satisfied with empty speculation, only flutters in the brain, but a knowledge which will prove substantial and fruitful whenever it is duly perceived and rooted in the heart.
God had given men reason, by which they could find out things for themselves, but He had given animals knowledge which did not depend on reason, and which was much more prompt and perfect in its way, and by which they had often saved the lives of men.
That the great majority of those who leave school should have some idea of the kind of evidence required to substantiate given types of belief does not seem unreasonable. Nor is it absurd to expect that they should go forth with a lively interest in the ways in which knowledge is improved and a marked distaste for all conclusions reached in disharmony with the methods of scientific inquiry.
I do not know why there is this difference, but I am sure that God keeps no one waiting unless He sees that it is good for him to wait. When you do enter your room, you will find that the long wait has done you some kind of good which you would not have had otherwise. But you must regard it as waiting, not as camping. You must keep on praying for light: and of course, even in the hall, you must begin trying to obey the rules which are common to the whole house. And above all you must be asking which door is the true one; not which pleases you best by its paint and paneling.
The higher arithmetic presents us with an inexhaustible store of interesting truths - of truths, too, which are not isolated, but stand in a close internal connection, and between which, as our knowledge increases, we are continually discovering new and sometimes wholly unexpected ties.
There are roads which must not be followed, armies which must not be attacked, towns which must not be besieged, positions which must not be contested, commands of the sovereign which must not be obeyed.
We are spirits. That bodies should be lent us while they afford us pleasure, assist us in acquiring knowledge or in doing good to our fellow-creatures, is a kind of benevolent act of God. When they become unfit for these purposes and afford us pain instead of pleasure, instead of an aid become an encumbrance and answer none of these intentions for which they were given, it is equally kind and benevolent that a way is provided by which we get rid of them. Death is that way.
Each member of society can have only a small fraction of the knowledge possessed by all, and...each is therefore ignorant of most of the facts on which the working of society rests...civilization rests on the fact that we all benefit from knowledge which we do not possess. And one of the ways in which civilization helps us to overcome that limitation on the extent of individual knowledge is by conquering intelligence, not by the acquisition of more knowledge, but by the utilization of knowledge which is and which remains widely dispersed among individuals.
It is inadmissible that systems of ideas like religions, which have held so considerable a place in history, and to which, in all times, men have come to receive the energy which they must have to live, should be made up of a tissue of illusions.
It [knowledge] is clearly related to information, which we can now measure; and an economist especially is tempted to regard knowledge as a kind of capital structure, corresponding to information as an income flow. Knowledge, that is to say, is some kind of improbable structure or stock made up essentially of patterns - that is, improbable arrangements, and the more improbable the arrangements, we might suppose, the more knowledge there is.
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