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 Übersetzung für 'proof by contradiction' von Englisch nach Deutsch
NOUN   proof by contradiction | -
math.
proof by contradiction
Widerspruchsbeweis {m}
math.
proof by contradiction [reductio ad absurdum]
Reductio ad absurdum {f}
Teiltreffer
relig.
proof by miracles
Wunderbeweis {m}
math.
proof by induction
Induktionsbeweis {m}
by way of proof {adv}als Nachweis
by way of proof {adv}als Beweis
contradictionAbleugnung {f}
18
philos.
contradiction
Falsum {n} [Kontradiktion]
contradictionGegensatz {m}
441
contradictionGegenrede {f}
22
contradictionWiderrede {f}
165
contradictionWiderspruch {m}
2892
philos.
contradiction
Kontradiktion {f}
17
contradictionUnvereinbarkeit {f}
100
without contradiction {adj} {adv}widerspruchslos
self-contradictionSelbstwiderspruch {m}
sociol.
basic contradiction
Grundwiderspruch {m}
to invite contradictionzum Widerspruch reizen
without contradiction {adj}widerspruchsfrei
contradiction [denial]Bestreitung {f}
19
sharp contradictionscharfe Gegenrede {f}
ungeprüft
law
legal contradiction
rechtlicher Widerspruch {m}
22 Übersetzungen
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Anwendungsbeispiele Englisch
  • Alhazen explored what is now known as the Euclidean parallel postulate, the fifth postulate in Euclid's "Elements", using a proof by contradiction, and in effect introducing the concept of motion into geometry.
  • Proclus claimed to prove the infinite divisibility of a line, based on a proof by contradiction in which he considered the cases of even and odd numbers of points constituting it.
  • The proof by contradiction shows that if it were possible to compute the Kolmogorov complexity, then it would also be possible to systematically generate paradoxes similar to this one, i.e.
  • To prove that claim, we will proceed with a proof by contradiction. If there were a shorter path, then there can be two cases, either the shortest path contains another unvisited node or not.
  • Zeno's arguments are perhaps the first examples of a method of proof called "reductio ad absurdum", also known as proof by contradiction.

  • In logic, proof by contradiction is a form of proof that establishes the truth or the validity of a proposition, by showing that assuming the proposition to be false leads to a contradiction.
  • Hilbert produced an innovative proof by contradiction using mathematical induction; his method does not give an algorithm to produce the finitely many basis polynomials for a given ideal: it only shows that they must exist.
  • In which case, if "P"1("S") is the set of one-element subsets of "S" and "f" is a proposed bijection from "P"1("S") to "P"("S"), one is able to use proof by contradiction to prove that |"P"1("S")| < |"P"("S")|.
  • The following proof by contradiction uses a simple Pascal-like language to denote programs; for sake of proof simplicity assume its description (i.e. an interpreter) to have a length of [...] bits.
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