Question: Please answer all questions with only a few sentences for each question. Computability 1) Argue that the set of computer programs in any language must

Please answer all questions with only a few sentences for each question.  Please answer all questions with only a few sentences for each

Computability 1) Argue that the set of computer programs in any language must be at most countably infinite. What do 2) Argue that for a given programming language, most real numbers cannot be computed as the 3) Different programming languages have different abilities. Is it possible that between ProgrammingLan- we know about computer programs? (potentially infinite) output of any program. guage 1 and ProgrammingLanguage 2, they coukl, taken together, compute all real numbers? Why or why not help us compute more things if it were? by any computer program. What do you needt 4) Is it possible that the set of programming languages is uncountably infinite? Why or why not. Would it 5) Argue that there are functions from the natural numbers to the natural numbers that are uncomputable

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