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G. Spencer-Brown

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...to teach pride in knowledge is to put up an effective barrier against any advance upon what is already known, since it makes one ashamed to look beyond the bounds imposed by one's own ignorance.
--
Laws of Form, Appendix 1.

 
G. Spencer-Brown

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If man puts his honor first in relying upon himself, knowing himself and applying himself, this in self-reliance, self-assertion, and freedom, he then strives to rid himself of the ignorance which makes a strange impenetrable object a barrier and a hindrance to his self-knowledge.

 
Max Stirner
 

Ever since the beginning of modern science, the best minds have recognized that "the range of acknowledged ignorance will grow with the advance of science." "In science the more we know, the more extensive the contact with nescience." Unfortunately, the popular effect of this scientific advance has been a belief, seemingly shared by many scientists, that the range of our ignorance is steadily diminishing and that we can therefore aim at more comprehensive and deliberate control of all human activities. It is for this reason that those intoxicated by the advance of knowledge so often become the enemies of freedom … The more men know, the smaller the share of all that knowledge becomes that any one mind can absorb. The more civilized we become, the more relatively ignorant must each individual be of the facts on which the working of his civilization depends.

 
Friedrich Hayek
 

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
 

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
 

The case for individual freedom rests chiefly on the recognition of the inevitable and universal ignorance of all of us concerning a great many of the factors on which the achievement of our ends and welfare depend. It is because every individual knows so little and, in particular, because we rarely know which of us knows best that we trust the independent and competitive efforts of many to induce the emergence of what we shall want when we see it.
Humiliating to human pride as it may be, we must recognize that the advance and even the preservation of civilization are dependent upon a maximum of opportunity for accidents to happen. These accidents occur in the combination of knowledge and attitudes, skills and habits, acquired by individual men and also when qualified men are confronted with the particular circumstances which they are equipped to deal with. Our necessary ignorance of so much means that we have to deal largely with probabilities and chances.
Of course, it is true of social as of individual life that favorable accidents usually do not just happen. We must prepare for them.

 
Friedrich Hayek
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