The Crank and Abstract Truth
The term crank is often applied to persons who contradict rigorously proven mathematical theorems, such as the impossibility of squaring the circle by ruler and compass, or who deny extremely well established physical theories, such as the special theory of relativity, conservation of mass-energy, or a spheroid earth (See Flat Earth Society). More engineer-minded cranks may claim to have invented a magic compression algorithm or a perpetual motion / free energy machine.
However this doesn't apply to mathematics, which is not subject to such retractions of established results, notwithstanding nineteenth and early twentieth century discoveries in mathematical logic which may be popularly misunderstood as having overthrown prior mathematics. Rather, it is correct to say that mathematicians have gradually developed more encompassing abstractions which do not invalidate earlier mathematics but do often reinterpret them in new and expanded contexts. That is, previous mathematical knowledge has been enriched, not overthrown, by such discoveries as non-Euclidean geometry or Gödel's incompleteness theorems.
The mathematical cases provide a baseline for application of the epithet, since the nature of mainstream or for that matter learned, scientific opinion can change over time; however, irrationally rejecting established mathematical truth is archetypical crankery. Typically a crank is impervious to contrary evidence. Those who have studied the phenomenon of crankery agree that this is the essential defining characteristic of the crank: being impervious to facts, evidence, and rational inference.
Read more about this topic: Crank (person)
Famous quotes containing the words abstract truth, crank, abstract and/or truth:
““If our minds could get hold of one abstract truth, they would be immortal so far as that truth is concerned. My trouble is to find out how we can get hold of the truth at all.””
—Henry Brooks Adams (1838–1918)
“The man with a new idea is a crank until the idea succeeds.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)
“Just as a chemist “isolates” a substance from contaminations that distort his view of its nature and effects, so the work of art purifies significant appearance. It presents abstract themes in their generality, but not reduced to diagrams.”
—Rudolf Arnheim (b. 1904)
“I am sometimes told that “Women aint fit to vote. Why, don’t you know that a woman had seven devils in her: and do you suppose a woman is fit to rule the nation?” Seven devils aint no account; a man had a legion in him.”
—Sojourner Truth (c. 1797–1883)