El Pensador Mexicano es el seudónimo de Bernal Díaz del Castillo. Cierto o falso

False

Explanation:

The name mentioned in the option, Bernal Díaz del Castillo, actually refers to the Spanish conqueror and chronicler, who wrote an account of the Spanish conquest of Mexico led by Hernán Cortés, with whom he served.

On the other hand, Joaquín Fernández de Lizardi also known as El Pensador Mexicano, was a mexican novelist writer.

His work was, at the same time, political, literary, periodical, psychological, historiographical and linguistic.