Question: Answer number 5. Computability ns in any language must be at most countably infinite. What do 2) Argue that for a given programming language, most

Answer number 5.

Computability ns 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 1 and ProgrammingLanguage 2, they could, taken together, compute all real numbers? Why 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 umbers to the natural numbers that are uncomputable or why not. help us compute more things if it were? by any computer program. What do you need to show in order to prove this

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