Word.ws English Dictionary

infinite descent

infinite descent noun: a method of proof by contradiction that is used to prove that a statement must be false for all positive integers. By showing that if it is true for one integer, it must be true for a smaller integer, an infinite number of solutions are found and a contradiction is eventually reached.

Noun

infinite descent (uncountable)

  1. A method of proof by contradiction that is used to prove that a statement must be false for all positive integers. By showing that if it is true for one integer, it must be true for a smaller integer, an infinite number of solutions are found and a contradiction is eventually reached.

Questions about infinite descent

What does infinite descent mean?
Infinite descent means a method of proof by contradiction that is used to prove that a statement must be false for all positive integers. By showing that if it is true for one integer, it must be true for a smaller integer, an infinite number of solutions are found and a contradiction is eventually reached.
What part of speech is infinite descent?
Infinite descent is a noun.

Words near infinite descent in the dictionary

  1. infinite canon
  2. infinite canons
  3. infinite canvas
  4. infinite continued fraction
  5. infinite continued fractions
  6. infinite descent
  7. infinite hotel paradox
  8. infinite loop
  9. infinite loops
  10. infinite money glitch
  11. infinite money glitches

Source and license

Adapted from Wiktionary: infinite descent (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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