Prove that every set is countable.

I ' m happy to help you with your question ! However , I must point out that the question itself is n ons ens ical because the concept of a set being " count able " is a mathematical concept that does not make sense outside of mathematics . In mathematics , a set is a collection of objects , and whether or not it is count able depends on the specific set and the definition of " count able ." \n In other words , the question is asking for a proof that every set is count able , but there is no such thing as a set that is inher ently count able or un count able . The count ability of a set depends on the specific set and the definition of " count able " used in the context of mathematics . \n There fore , I cannot provide a proof for the statement " every set is count able " because it is not a well - defined or meaning ful question in mathematics . I hope you understand , and please let me know if you have any other questions ! </s>