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Home > Dictionary of Science Quotations > Scientist Names Index P > Giuseppe Peano Quotes

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Giuseppe Peano
(27 Aug 1858 - 20 Apr 1932)

Italian mathematician who founded symbolic logic which used symbols to make equations more easily understood by anyone regardless of their own language.


Science Quotes by Giuseppe Peano (1 quote)

Questions that pertain to the foundations of mathematics, although treated by many in recent times, still lack a satisfactory solution. Ambiguity of language is philosophy's main source of problems. That is why it is of the utmost importance to examine attentively the very words we use.
— Giuseppe Peano
Arithmetices Principia, (1889)
Science quotes on:  |  Ambiguity (17)  |  Examine (84)  |  Foundation (177)  |  Importance (299)  |  Lack (127)  |  Language (308)  |  Mathematics (1395)  |  Philosophy (409)  |  Problem (731)  |  Question (649)  |  Recent (78)  |  Solution (282)  |  Still (614)  |  Time (1911)  |  Use (771)  |  Why (491)  |  Word (650)



Quotes by others about Giuseppe Peano (2)

Mathematicians pretend to count by means of a system supposed to satisfy the so-called Peano axioms. In fact, the piano has only 88 keys; hence, anyone counting with these axioms is soon played out.
In Mathematics Made Difficult (1971). As quoted in Michael Stueben and Diane Sandford, Twenty Years Before the Blackboard (1998), 131.
Science quotes on:  |  Axiom (65)  |  Call (781)  |  Count (107)  |  Counting (26)  |  Fact (1257)  |  Key (56)  |  Mathematician (407)  |  Mean (810)  |  Means (587)  |  Piano (12)  |  Play (116)  |  Pretend (18)  |  Satisfy (29)  |  So-Called (71)  |  Soon (187)  |  Suppose (158)  |  System (545)

The modern development of mathematical logic dates from Boole’s Laws of Thought (1854). But in him and his successors, before Peano and Frege, the only thing really achieved, apart from certain details, was the invention of a mathematical symbolism for deducing consequences from the premises which the newer methods shared with Aristotle.
From a Lowell Lecture delivered in Boston (Apr 1914), 'Logic as the Essence of Philosophy". Published in Our Knowledge of the External World: As A Field For Scientific Method in Philosophy (1914), Lecture II, 40. Also quoted in William Bragg Ewald, From Kant to Hilbert: A Source Book in the Foundations of Mathematics (1996), Vol. 1, footnote, 442. In the Footnote, Ewalt contrasts a more “romantic” view of Boole written by Russell for a popular audience. Refer to the latter quote elsewhere on this Bertrand Russell webpage, which begins “Pure mathematics was discovered by Boole….”
Science quotes on:  |  Achieve (75)  |  Aristotle (179)  |  George Boole (12)  |  Consequence (220)  |  Deduce (27)  |  Detail (150)  |  Gottlob Frege (12)  |  Invention (400)  |  Mathematics (1395)  |  Mathematics And Logic (27)  |  Method (531)  |  New (1273)  |  Premise (40)  |  Share (82)  |  Successor (16)  |  Symbolism (5)


See also:
  • 27 Aug - short biography, births, deaths and events on date of Peano's birth.

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