Galileo Gambit is a strategy that takes its name from an argument known as Galileo’s Ship, which was created by the Italian scientist Galileo Galilei in the 1600s. The Galileo Gambit takes this argument and applies it to a different situation: arguing with someone who doesn't accept an idea based on facts and logic. The goal of the Galileo Gambit is to make someone realize that the facts and logic presented to them are valid and must be considered.
In Galileo's original argument, he argued that a boat at sea would feel much smoother and calmer than that of one on land. He argued that because the boat was in the water, there was less friction and movement, so it felt smoother and calmer. He also argued that on land, the boat may feel bumpier and more chaotic due to the mountains, hills, and other terrain that it was traveling through.
In the Galileo Gambit, the same idea is applied. The argument goes that the person who is denying the idea is just like the boat on land, while the person presenting the idea is like the boat at sea. The person presenting the idea is arguing with logic and facts, while the person denying it is arguing with emotion and skepticism. By comparing the two boats, the goal of the Galileo Gambit is to make someone realize that the facts and logic presented to them are valid and must be considered.