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## QuoteRef: poinH_1902

topics > all references > ThesaHelp: references p-r

ThesaHelp:
references p-r
Topic:
limitations of formalism
Topic:
mathematical proof
Group:
philosophy of mathematics
Topic:
abstraction
Topic:
infinity and infinitesimal
Topic:
facts as relationships between entities
Topic:
infinite sequences
Topic:
kinds of numbers
Topic:
what is a number
Topic:
real numbers and floating point numbers
Topic:
continuum in mathematics
Topic:
elements
Topic:
general relativity
Topic:
geometry
Topic:
science as measurement
Topic:
special relativity
Topic:
Newtonian physics
Topic:
time
Topic:
event time
Topic:
law of nature
Topic:
science as experiment
Topic:
science as mathematics
Group:
philosophy of science
Topic:
light
Topic:
scientific method
Topic:
handling complexity

#### Reference

Poincare, H., La science et l'hypothese , 1902. Google

#### Other Reference

page numbers from Science and Hypothesis, translation by W.J. Greenstreet, London 1905, reprinted New York: Dover Publications, 1952.

Published before 1923

Quotations
 4 ;;Quote: proof verification is analytical and leads to nothing but the premises translated into another language 4+;;Quote: a real proof is fruitful, its conclusion is in a sense more general than its premises 4+;;Quote: there is no science but the science of the general 9 ;;Quote: proof by induction allows us to generalize, to pass from the finite to the infinite 20 ;;Quote: mathematicians study the relations between objects, not the objects themselves; i.e., they study form; matter does not engage their attention 21 ;;Quote: the square root of 2 is the cut between numbers whose square is less than and greater than 2; Kronecker 21+;;Quote: every rational and irrational number is symbol for a cut that divides the real numbers into two 22 ;;Quote: a physical continuum is not transitive (e.g., A=B, B=C, A

Related Topics

ThesaHelp: references p-r (245 items)
Topic: limitations of formalism (93 items)
Topic: mathematical proof (23 items)
Group: philosophy of mathematics   (11 topics, 330 quotes)
Topic: abstraction (62 items)
Topic: infinity and infinitesimal (37 items)
Topic: facts as relationships between entities (22 items)
Topic: infinite sequences (7 items)
Topic: kinds of numbers (24 items)
Topic: what is a number (55 items)
Topic: real numbers and floating point numbers (37 items)
Topic: continuum in mathematics (7 items)
Topic: elements (22 items)
Topic: general relativity (47 items)
Topic: geometry (33 items)
Topic: science as measurement (36 items)
Topic: special relativity (73 items)
Topic: Newtonian physics (79 items)
Topic: time (49 items)
Topic: event time (45 items)
Topic: law of nature (28 items)
Topic: science as experiment (38 items)
Topic: science as mathematics (26 items)
Group: philosophy of science   (10 topics, 406 quotes)
Topic: light (46 items)
Topic: scientific method (42 items)
Topic: handling complexity (60 items)

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