Piaget's second stage of cognitive development is the preoperational stage, which occurs from ages 2 to 7. During this stage, children begin to use symbols to represent objects and events and engage in symbolic play. They can also think about objects that are not physically present. However, children in the preoperational stage are still egocentric and cannot see things from another's perspective. Their thinking is also illogical, as they lack concepts such as conservation, reversibility, multiple classification, and logical reasoning.