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QuoteRef: poinH_1908

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ThesaHelp:
references p-r
Group:
philosophy of science
Topic:
skepticism about knowledge
Topic:
metaphysics and epistemology
Topic:
handling complexity
Topic:
science as mathematics
Topic:
people better than computers
Topic:
what is truth
Topic:
problem solving
Topic:
mathematical proof
Topic:
facts as relationships between entities
Topic:
special relativity
Topic:
science as measurement
Topic:
general relativity
Group:
philosophy of mathematics
Topic:
existence
Topic:
analytic truth
Topic:
limitations of formalism
Topic:
limitations of artificial intelligence and cognitive science
Topic:
problem of classifying information
Topic:
Liar's paradox and Russell's paradox

Reference

Poincare, H., Science et methode, 1908. Google

Other Reference

page numbers from "Science and method," p. 357-546 in Poincare, Foundations of Science translated by G.B. Halsted, New York: The Science Press 1913.

Published before 1923

Quotations
363 ;;Quote: the most interesting facts occur frequently
363+;;Quote: suppose there were 60 billion chemical elements uniformly distributed; there would be no science and perhaps no thought and life; every pebble would be new
363+;;Quote: if all facts were complex, they would not repeat; a chance occurrence of a thousand circumstances
373 ;;Quote: neither calculations nor machines can replace the mathematician. They can find order but not unexpected order
373+;;Quote: the soul of a fact is its unexpected order
389 ;;Quote: mathematical invention often occurs after a long period of unconscious work following and followed by conscious work
413 ;;Quote: whoever speaks of absolute space uses a meaningless phrase; space is relative to other objects, e.g., place du Pantheon
414 ;;Quote: the distance between two points is meaningless by itself; it depends on how distance is measured
415 ;;Quote: we can measure distance with light only if we suppose that the velocity of light is constant for all observers
415+;;Quote: Lorentz explained the Michelson experiments by supposing the velocity of light was constant while lengths depended on direction
417 ;;Quote: space is in reality amorphous and the things which are therein alone give it a form
454 ;;Quote: mathematics is independent of the existence of material objects; mathematical existence means free from contradiction
483 ;;Quote: a demonstration in analytic logic leads to an immense tautology. Logic is sterile unless made fruitful by intuition
484 ;;Quote: the antinomies of formal logic arise because classifications must be modified for unforeseen objects


Related Topics up

ThesaHelp: references p-r (245 items)
Group: philosophy of science   (10 topics, 406 quotes)
Topic: skepticism about knowledge (34 items)
Topic: metaphysics and epistemology (99 items)
Topic: handling complexity (60 items)
Topic: science as mathematics (26 items)
Topic: people better than computers (35 items)
Topic: what is truth (67 items)
Topic: problem solving (32 items)
Topic: mathematical proof (23 items)
Topic: facts as relationships between entities (22 items)
Topic: special relativity (73 items)
Topic: science as measurement (36 items)
Topic: general relativity (47 items)
Group: philosophy of mathematics   (11 topics, 330 quotes)
Topic: existence (29 items)
Topic: analytic truth (51 items)
Topic: limitations of formalism (93 items)
Topic: limitations of artificial intelligence and cognitive science (64 items)
Topic: problem of classifying information (42 items)
Topic: Liar's paradox and Russell's paradox (25 items)

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