Supporting Arguments
Although the conjecture has not been proven, most mathematicians who have looked into the problem think the conjecture is true because experimental evidence and heuristic arguments support it.
Read more about this topic: Collatz Conjecture
Famous quotes containing the words supporting and/or arguments:
“It is handsomer to remain in the establishment better than the establishment, and conduct that in the best manner, than to make a sally against evil by some single improvement, without supporting it by a total regeneration.”
—Ralph Waldo Emerson (1803–1882)
“The conclusion suggested by these arguments might be called the paradox of theorizing. It asserts that if the terms and the general principles of a scientific theory serve their purpose, i. e., if they establish the definite connections among observable phenomena, then they can be dispensed with since any chain of laws and interpretive statements establishing such a connection should then be replaceable by a law which directly links observational antecedents to observational consequents.”
—C.G. (Carl Gustav)