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Probability fractions arise from our knowledge and from our ignorance.
--
Chapter 14, Equipossibility, p. 132

 

Ian Hacking

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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.

 

Karl Popper

 

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

 

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

 

Knowledge leads to unity, but Ignorance to diversity.
So long as God seems to be outside and far away, there is ignorance. But when God is realised within, that is true knowledge.

 

Ramakrishna