Here are some useful facts: 1) The set of all languages (over some nonempty alphabet) is uncountable. 2) The union of two countable sets is always countable, 3) The set of Turing machines is countable and 4) Every deciable language is decided by some TM. You now have everything you need to do the following problems quickly and easily Required:
Show that the class of decidable languages is countable.

2b2t

explanation:

2b2t

there is no universally accepted definition of art. although commonly used to describe something of beauty, or a skill which produces an aesthetic result, there is no clear line in principle between (say) a unique piece of handmade sculpture, and a mass-produced but visually attractive item. we might say that art requires thought - some kind of creative impulse - but this raises more questions: for example, how much thought is required? if someone flings paint at a canvas, hoping by this action to create a work of art, does the result automatically constitute art?

what is inputmismatchexception?