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)
“It has often been argued that absolute scepticism is self-contradictory; but this is a mistake: and even if it were not so, it would be no argument against the absolute sceptic, inasmuch as he does not admit that no contradictory propositions are true. Indeed, it would be impossible to move such a man, for his scepticism consists in considering every argument and never deciding upon its validity; he would, therefore, act in this way in reference to the arguments brought against him.”
—Charles Sanders Peirce (1839–1914)