Could Inhalation Of Porcelain Dust Particles Be Harmful?

Hello

I broke today day a porcelain plate in my hall , and it crumbled into tiny pieces , i tried to clean as much as i can , but i fear that my mother or little sister breath it in , because they sleep in hall on ground .
My mom does not listen to me , i fear they breath some tiny pieces , is it very dangerous ?????? plz help .