Pascal's principle states that pressure in a fluid is distributed evenly, which is crucial for understanding hydraulic lifts. The discussion revolves around the confusion regarding how a smaller force on one piston can result in a larger force on another piston due to the fluid's properties. It is clarified that when a force is applied to a smaller piston, the pressure created is transmitted through the fluid, allowing the larger piston to experience a proportionately greater force. The relationship between force and distance traveled by the pistons is also emphasized, highlighting the conservation of energy and the equation of continuity. Ultimately, understanding these principles helps clarify the mechanics of hydraulic systems and their reliance on fluid dynamics rather than rigid connections.