Question

As we know from our study of computability, programs can be translated into Turing machines. If we check off these Turing machines (those which are transformed programs), we find that there are still some left over in our standard enumeration. Does this mean that there are more Turing machines than programs? Comment.

Answer 1

Answer)
A Turing machine is a model using mathematics using which we can define an abstract machine which can lead to performing a set of rules. The Turing machines are capable of simulation of the computer algorithm logics which can be constructed. The Turing machine uses an infinite memory tape to operate.

The Turing machines concept is that the programs which can be programmed on the computer can be converted to the Turing machines however complex and thus when the limitations which exist int he programs will also reflect on the Turing machines. Thus there are no Turing machines which cannot be converted to programs, and thus the set of all possible programs are the same as the set of the identical possible Turing machines. Thus, there are the same Turing machines as programs.