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Who said: “As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.”
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Home > Dictionary of Science Quotations > Scientist Names Index L > Carl E. Linderholm Quotes

Carl E. Linderholm
(4 Sep 1937 - 4 Dec 2002)

American mathematician and author who received his Ph.D. in mathematics from the University of Chicago (1963). He spent the main part of his career at Reading University, England, but later returned to the U.S. to teach at universities in Alabama.

Science Quotes by Carl E. Linderholm (3 quotes)

A diagram is worth a thousand proofs.
— Carl E. Linderholm
In Mathematics Made Difficult (1971). As quoted in Michael Stueben and ‎Diane Sandford, Twenty Years Before the Blackboard (1998), 131.
Science quotes on:  |  Diagram (20)  |  Proof (304)  |  Thousand (340)  |  Worth (172)

Mathematicians always strive to confuse their audiences; where there is no confusion, there is no prestige.
— Carl E. Linderholm
In Mathematics Made Difficult (1971). As quoted in Ian Stewart, Professor Stewart’s Hoard of Mathematical Treasures (2010), 155-156.
Science quotes on:  |  Audience (28)  |  Confuse (22)  |  Confusion (61)  |  Mathematician (407)  |  Prestige (16)  |  Strive (53)

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.
— Carl E. Linderholm
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)  |  Giuseppe Peano (3)  |  Piano (12)  |  Play (116)  |  Pretend (18)  |  Satisfy (29)  |  So-Called (71)  |  Soon (187)  |  Suppose (158)  |  System (545)

Carl Sagan Thumbnail In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
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