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Karl Popper

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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.
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Variant translation: The more we learn about the world, and the deeper our learning, the more conscious, clear, and well-defined will be our knowledge of what we do not know, our knowledge of our ignorance. The main source of our ignorance lies in the fact that our knowledge can only be finite, while our ignorance must necessarily be infinite.

 
Karl Popper

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Montaigne speak of an “Abecedarian” ignorance that precedes knowledge, and a doctoral ignorance that comes after it. The first is the ignorance of those who, not knowing their A-B-C’s, cannot read at all. The second is the ignorance of those who have misread many books.

 
Michel de Montaigne
 

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
 

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
 

Montaigne speak of an “Abecedarian” ignorance that precedes knowledge, and a doctoral ignorance that comes after it. The first is the ignorance of those who, not knowing their A-B-C’s, cannot read at all. The second is the ignorance of those who have misread many books. They are, as Alexander Pope rightly calls them, “bookful blockheads, ignorantly read.” There have always been literate ignoramuses, who have read too widely, and not well. The Greeks had a name for such a mixture of learning and folly which might be applied to the bookish but poorly read of all ages. They are all “sophomores.”

 
Mortimer Adler
 

The Socratic maxim that the recognition of our ignorance is the beginning of wisdom has profound significance for our understanding of society. Most of the advantages of social life, especially in the more advanced forms that we call 'civilization' rest on the fact that the individual benefits from more knowledge than he is aware of. It might be said that civilization begins when the individual in the pursuit of his ends can make use of more knowledge than he has himself acquired and when he can transcend the boundaries of his ignorance by profiting from knowledge he does not himself possess.

 
Friedrich Hayek
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