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Socrates

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And how is not this the most reprehensible ignorance, to think that one knows what one does not know? But I, O Athenians! in this, perhaps, differ from most men; and if I should say that I am in any thing wiser than another, it would be in this, that not having a competent knowledge of the things in Hades, I also think that I have not such knowledge.
--
29b [Alternate translation]

 
Socrates

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Consider in how many ways His knowledge is distinguished from ours according to all the teaching of every revealed religion. First, His knowledge is one, and yet embraces many different kinds of objects. Secondly, it is applied to things not in existence. Thirdly, it comprehends the infinite. Fourthly, it remains unchanged, though it comprises the knowledge of changeable things; whilst it seems that the knowledge of a thing that is to come into existence is different from the knowledge of the thing when it has come into existence; because there is the additional knowledge of its transition from a state of potentiality into that of reality. Fifthly, according to the teaching of our Law, God's knowledge of one of two eventualities does not determine it, however certain that knowledge may be concerning the future occurrence of the one eventuality.

 
Maimonides
 

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. For this, indeed, is the main source of our ignorance — the fact that our knowledge can be only finite, while our ignorance must necessarily be infinite.

 
Karl Popper
 

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.

 
Maurice Merleau-Ponty
 

O perpetual revolution of configured stars,
O perpetual recurrence of determined seasons,
O world of spring and autumn, birth and dying!
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
Brings us farther from God and nearer to the Dust.

 
Thomas Stearns (T. S.) Eliot
 

The most ignorant are the most conceited. Unless a man knows that there is something more to be known, his inference is, of course, that he knows every thing. Such a man always usurps the throne of universal knowledge, and assumes the right of deciding all possible questions. We all know that a conceited dunce will decide questions extemporaneous which would puzzle a college of philosophers, or a bench of judges. Ignorant and shallow-minded men do not see far enough to see the difficulty. But let a man know that there are things to be known, of which he is ignorant, and it is so much carved out of his domain of universal knowledge. And for all purposes of individual character, as well as of social usefulness, it is quite as important for a man to know the extent of his own ignorance as it is to know any thing else. To know how much there is that we do not know, is one of the most valuable parts of our attainments; for such knowledge becomes both a lesson of humility and a stimulus to exertion.

 
Horace Mann
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