There are mainly three different approaches to the Grue paradox, i.e. the Linguistic Approach, the Bayesian Approach, and the Falsificationistic Approach. Professor Chen Xiaoping proposes a different strategy, that is, the Eliminative Strategy, to solve the Grue paradox. According to this strategy, in the corresponding argument one premise concerning evidence statements is not true. We make two criticisms to this strategy. Our conclusion is that the Eliminative Strategy does not constitute a satisfactory solution to the Grue paradox.