Here at The Red Pill subreddit we often hear "A man thinks with reason, a woman with emotion" or some variant of it. This is true in lived experience, but it is at best a stereotype with a kernel of truth.

I want to sum up that kernel of truth here as concisely as I can in the hope you learn a thing or two from it.

When asked how they view the world: a theoretical physicists will answer "I see formula's wherever I walk", a biologist notices the length of the trees and the soil that does not match it, a pro-gamer sees game mechanics and strategies in even the most mundane of things.

You may think that is just the way they think that is different which is why they see things differently, but the gamer thinks just like the scientist, he tries to understand and master the game the same way a scientist tries to fully understand the world and master its mathematical formulas, so why do they see such radically different things. That is because their "domain of action" is different, it is the things they work with every day that causes them to recognize the patterns they do, because our brains are pattern recognition machines, we can see faces in a circle with 3 dots and just like how the scientist and the biologist see different things so do men and women.

When a baby boy and a baby girl are shown a picture of a face and a truck/boyish toy, the boy (or the one with the higher testosterone) tend to look longer at the object or toy, and the girl (higher estrogen) tend to look longer at the picture of a face, or in other words their attention (and by extension their domain of action) is more focused towards either the objective world or the social one depending on their hormone levels.

A man focuses on the objective world with all of its problems, and a woman on the social world. If we pay less attention to it we recognize less patterns. What we see is the world we live in, so you can also say "A man lives within the world of things, a woman lives within the world of people.".