A pushforward measure is a type of mathematical object. It is a way of taking a certain set of measurements and 'pushing' them forward in a certain way. You can think of a push forward measure like a machine that takes in a set of measurements (like the sizes of some shapes) and then 'pushes' them out again in a different way (like the areas of those shapes). Pushforward measures are often used to help us understand and calculate things like probabilities and other types of measurements.