A Quote by Douglas Hofstadter

The nice thing about having a brain is that one can learn, that ignorance can be supplanted by knowledge, and that small bits of knowledge can gradually pile up into substantial heaps.
We have heard of a Society for the Diffusion of Useful Knowledge. It is said that knowledge is power, and the like. Methinks there is equal need of a Society for the Diffusion of Useful Ignorance, what we will call Beautiful Knowledge, a knowledge useful in a higher sense: for what is most of our boasted so-called knowledge but a conceit that we know something, which robs us of the advantage of our actual ignorance? What we call knowledge is often our positive ignorance; ignorance our negative knowledge.
Wonder is the foundation of all philosophy; research, the progress; ignorance, the end. There is, by heavens, a strong and generous kind of ignorance that yields nothing, for honour and courage, to knowledge: an ignorance to conceive which needs no less knowledge than to conceive knowledge.
The first thing the reasonable man must do is to be content with a very little knowledge and a very great deal of ignorance. The second thing he must do is to make the utmost possible use of the knowledge he has and not waste his energy crying for the moon. The third thing he must do is try and see clearly where his knowledge ends and his ignorance begins.
It is a common sentence that Knowledge is power; but who hath duly considered or set forth the power of Ignorance? Knowledge slowly builds up what Ignorance in an hour pulls down. Knowledge, through patient and frugal centuries, enlarges discovery and makes record of it; Ignorance, wanting its day's dinner, lights a fire with the record, and gives a flavour to its one roast with the burnt souls of many generations.
Most people in AI, particularly the younger ones, now believe that if you want a system that has a lot of knowledge in, like an amount of knowledge that would take millions of bits to quantify, the only way to get a good system with all that knowledge in it is to make it learn it. You are not going to be able to put it in by hand.
To begin with, our knowledge grows in spots. The spots may be large or small, but the knowledge ever grows all over... What you first gain from them is probably a small amount of new information, a few new definitions, or distinctions, or points of view. But while these special ideas are being added, the rest of your knowledge stands still, and only gradually will you 'line up' your previous opinions with the novelties I am trying to instil, and modify to some slight degree their mass.
It is a common sentence that knowledge is power; but who hath duly considered or set forth the power of ignorance? Knowledge slowly builds up what ignorance in an hour pulls down.
Ignorance is an enemy, even to its owner. Knowledge is a friend, even to its hater. Ignorance hates knowledge because it is too pure. Knowledge fears ignorance because it is too sure.
The endless cycle of idea and action, Endless invention, endless experiment, Brings knowledge of motion, but not of stillness; Knowledge of speech, but not of silence; Knowledge of words, and ignorance of the Word. All our knowledge brings us nearer to our ignorance, All our ignorance brings us nearer to death, But nearness to death no nearer to God. Where is the Life we have lost in living? Where is the wisdom we have lost in knowledge? Where is the knowledge we have lost in information? The cycles of Heaven in twenty centuries Bring us farther from God and nearer to the Dust.
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.
WISDOM IS dependent upon knowledge. Where there is complete ignorance there can be no wisdom, no knowledge of the right thing to do. Man’s knowledge is comparatively limited and so his wisdom must be small, unless he can connect his mind with a knowledge greater than his own and draw from it, by inspiration, the wisdom that his own limitations deny him. Only God knows all truth; therefore only God can have Real wisdom or know the right thing to do at all times, and man can receive wisdom from God. Wisdom is obtained by reading the mind of God.
It is the close observation of little things which is the secret of success in business, in art, in science, and in every pursuit in life. Human knowledge is but an accumulation of small facts made by successive generations of men--the little bits of knowledge and experience carefully treasured up by them growing at length into a mighty pyramid.
Deep knowledge is not knowledge of the thing itself, but knowledge of a thing like the thing. Then, you gain not one knowledge, but two knowledges. Of the thing. And of the original thing with is like the thing. Which is the barbarism of the privileged class.
I am convinced that it is impossible to expound the methods of induction in a sound manner, without resting them upon the theory of probability. Perfect knowledge alone can give certainty, and in nature perfect knowledge would be infinite knowledge, which is clearly beyond our capacities. We have, therefore, to content ourselves with partial knowledge - knowledge mingled with ignorance, producing doubt.
Even those who have desired to work out a completely positive philosophy have been philosophers only to the extent that, at the same time, they have refused the right to install themselves in absolute knowledge. They taught not this knowledge, but its becoming in us, not the absolute but, at most, our absolute relation to it, as Kierkegaard said. What makes a philosopher is the movement which leads back without ceasing from knowledge to ignorance, from ignorance to knowledge, and a kind of rest in this movement.
The more we learn about the world, and the deeper our learning, the more conscious, specific, and articulate will be our knowledge of what we do not know, our knowledge of our ignorance
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