There are two types of bijections between infinite sets: partial field bijection and full field bijections. The bijections used to compare the cardinalities of sets are partial field in nature, exemplified by the bijection between even numbers and natural numbers. Cantor failed to distinguish between these two different types of bijections, which led to logical fallacies and erroneous conclusions, such as |N| < |P(N)| and |R| = |P(N)|. This paper logically demonstrates Cantor's logical errors.
Qi Jin (Wed,) studied this question.