Thurston's geometrization conjecture claimed that in three dimensions there are only eight possible geometries, although a three-dimensional manifold may be made up of several regions, each with a different geometry.
On the other hand, it is also crucial that conjecture and claim do not become truth overnight.
It seems reasonable to see Goldbach's Conjecture, the claim that every even number greater than 4 is the sum of two primes, as supported to a high degree by the non-deductive evidence currently available for it.
Two weeks after Khashoggi was last seen in public, the case has splintered into an array of conjecture and claims.
During the seventeenth century it came also to mark conjectured theoretical claims.
This conjecture is the claim about how well any two irrational numbers, x and y, can be simultaneously approximated by rational numbers of the form p/n and q/n.
We show that by encoding the problem into Boolean satisfiability and applying the state of the art SAT solvers, one can obtain a discrepancy 2 sequence of length 1160 and a proof of the Erdős discrepancy conjecture for C= 2, claiming that no discrepancy 2 sequence of length 1161, or more, exists.
Bayes' document contains elements of conjecture; for instance, his claim that Turpin was married to a Miss Palmer (and not Elizabeth Millington) is almost certainly incorrect, and the date of Turpin's marriage, for which no documentary evidence has been found, appears to be based solely on Bayes' claim that in 1739 Turpin had married 11 or 12 years earlier.
One remark has continued to elude proof and remains one of the greatest conjectures in mathematics: the claim that the nonreal zeros of the zeta function are complex numbers whose real part is always equal to 1/2.
The study reported on here informs the question of how teachers could draw on the classroom accountability system in order to exchange students' work on conjecturing tasks for claims that they have learned some bit of the geometry curriculum.
