Source: The Nature of the Physical World (1928), Ch. 13 Reality
Context: The mind-stuff is not spread in space and time. But we must presume that in some other way or aspect it can be differentiated into parts. Only here and there does it arise to the level of consciousness, but from such islands proceeds all knowledge. The latter includes our knowledge of the physical world. <!-- p. 277
“Probability fractions arise from our knowledge and from our ignorance.”
Source: The Emergence Of Probability, 1975, Chapter 14, Equipossibility, p. 132.
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Ian Hacking 16
Canadian philosopher 1936Related quotes
Source: Fooled by Randomness: The Hidden Role of Chance in Life and in the Markets
“The science of probability gives mathematical expression to our ignorance, not to our wisdom.”
Time Considered as a Helix of Semi-Precious Stones (1968)
Context: If everything, everything were known, statistical estimates would be unnecessary. The science of probability gives mathematical expression to our ignorance, not to our wisdom.
“The greater our knowledge increases the greater our ignorance unfolds.”
1962, Rice University speech
Source: In Praise of Philosophy (1963), p. 5
Context: 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 Word of God and the Word of Man (1928), p. 72
“The doorstep to the temple of wisdom is a knowledge of our own ignorance.”
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.
Conjectures and Refutations: The Growth of Scientific Knowledge (1963)
Context: 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.
“From ignorance our comfort flows.
The only wretched are the wise.”
To the Honorable Charles Montague (1692).