Everything's behavior traces back to atoms in constant motion, attracting and repelling
Feynman opens by identifying what he considers the single most important scientific idea worth preserving if all other knowledge were lost: that all matter is composed of atoms, tiny particles in perpetual motion, that attract each other when slightly separated but repel when compressed too closely together. He argues an enormous range of everyday phenomena — why solids feel solid, why heating something makes it expand, why gases fill any container they're given — becomes explicable once this single picture is taken seriously.
What makes his explanation compelling isn't just the claim itself but his insistence on walking through concrete implications: why ice, water, and steam are the same substance in different arrangements of atomic motion, or why pressure in a gas results from countless tiny atomic collisions against container walls. He treats the atomic hypothesis as the conceptual bedrock from which most of chemistry and much of physics can be qualitatively derived.
Takeaway: nearly every physical phenomenon you encounter is, underneath, a story about atoms attracting, repelling, and colliding.