In each  represent the common form of each argument using letters to stand for component sentences, and fill in the blanks so that the argument in part (b) has the same logical form as the argument in part (a). a. If all computer programs contain errors, then this program contains an error.This program does not contain an error.Therefore, it is not the case that all computer programs contain errors.b. If _______________, then _____________.2 is not odd.Therefore, it is not the case that all prime numbers are odd.

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Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.