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How to pronounce “infinite descent”
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Pronunciation guide for infinite descent
- Learning goal
- Practice the English pronunciation of infinite descent with real speech in context.
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- Definition summary
- (mathematics) 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.
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A Deep Dive Into “infinite descent”
Meaning
- [Noun]
- (mathematics) 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.
Practice Nearby Words
mathematical induction, proof by contradiction, induction, reductio ad absurdum, abscissio infiniti, diagonal argument, transfinite induction, infinite series, demonstration, galileo's paradox, divisibility sequence, infinite continued fraction, infinity, matiyasevich's theorem, method of indivisibles, base case, dickson's conjecture, proof, grandi's series, axiom of infinity, diagram chasing, generalization, contradiction, finitism, fermat's last theorem, gödel's incompleteness theorem, continued fraction, finite continued fraction, löwenheim-skolem theorem, euclidean division, sequent calculus, euclidean algorithm, richard's paradox, hindman's theorem, polignac's conjecture, euclid's lemma, alternating series, zeckendorf's theorem, porism, recursive function, goodstein's theorem, recursion theory, chinese remainder theorem, devil's staircase, exhaustion, lower limit, abundant number, double counting, trial division, diagram chase, indefinite integral, continuum hypothesis, corollary, banach-tarski paradox, logic, pseudointersection, divergent series, fundamental theorem of arithmetic, singmaster's conjecture, diophantine equation, untouchable number, bisection method, interminable, principle of explosion, transfinite number, coinduction, integers, infinitesimal analysis, elimination, integral, integer, recursion, ross-littlewood paradox, pregeometry, practical number, harmonic series, irredundance, hyperfactorial, primitive recursion, schinzel's hypothesis h, inversibility, pigeonhole principle, bijective numeration, löb's theorem, long division, constructive logic, rosser's trick, inverse, derivation, de bruijn-erdős theorem, intermediate value theorem, indivisible, turing degree, ax-kochen theorem, collatz conjecture, discrete math, transfinite, inverse limit, floor, progression
Similar Sounds
incandescent, infinitesimal, line of descent, condescent, unconditioned, unnoticing, undecent, amendement, symphonist, safe and sound