Conjecture

A conjecture is a proposition that is unproven. Karl Popper pioneered the use of the term "conjecture" in scientific philosophy. Conjecture is contrasted by hypothesis (hence theory, axiom, principle), which is a testable statement based on accepted grounds. In mathematics, a conjecture is an unproven proposition that appears correct.

Read more about Conjecture:  Famous Conjectures, Counterexamples, Use of Conjectures in Conditional Proofs, Undecidable Conjectures

Other articles related to "conjecture":

Additive Number Theory
... Two classical problems of this type are the Goldbach conjecture (which is the conjecture that 2P contains all even numbers greater than two, where P is the set of primes) and Waring's problem (which asks how large ... This is the content of the Erdős–Turán conjecture on additive bases ...
Undecidable Conjectures
... Not every conjecture ends up being proven true or false ... The continuum hypothesis, which tries to ascertain the relative cardinality of certain infinite sets, was eventually shown to be undecidable (or independent) from the generally accepted set of axioms of set theory ...
Manifold Destiny - Controversy
... around its emphasis on Yau's alleged stake in the Poincaré conjecture, its view that Yau was unfairly taking credit away from Perelman, and its depiction of Yau's ... of the Ricci flow approach to the Poincaré conjecture, saying he was very disturbed by the unfair manner in which Yau had been portrayed in The New Yorker article ... Science Magazine honored Perelman's proof of the Poincaré Conjecture as the scientific "Breakthrough of the Year", the first time this had been bestowed in the area of mathematics ...
Sharp Six Exponentials Theorem
... theorem as well, although it as yet unproven so is known as the sharp five exponentials conjecture ... This conjecture implies both the sharp six exponentials theorem and the five exponentials theorem, and is stated as follows ... A consequence of this conjecture that isn't currently known would be the transcendence of eπ², by setting x1 = y1 = β11 = 1, x2 = y2 = iπ, and all the other values in the statement to be zero ...
Lonely Runner Conjecture
... of diophantine approximation, the lonely runner conjecture is a conjecture originally due to J ... Applications of the conjecture are widespread in mathematics they include view obstruction problems and calculating the chromatic number of distance graphs and circulant graphs ... The conjecture was given its picturesque name by L ...

Famous quotes containing the word conjecture:

    What these perplexities of my uncle Toby were,—’tis impossible for you to guess;Mif you could,—I should blush ... as an author; inasmuch as I set no small store by myself upon this very account, that my reader has never yet been able to guess at any thing. And ... if I thought you was able to form the least ... conjecture to yourself, of what was to come in the next page,—I would tear it out of my book.
    Laurence Sterne (1713–1768)

    There is something fascinating about science. One gets such wholesale returns of conjecture out of such a trifling investment of fact.
    Mark Twain [Samuel Langhorne Clemens] (1835–1910)