Fermions, in our lives, are electrons, and in fact electrons are the most influential particles concerning the everyday configuration of matter that we see.
As Dirac said of his equation of motion for electrons, “This explains all of chemistry and most of physics.”
Funny story about Dirac: he was somewhat odd in his social interactions; the first time he met Richard Feynman, he is said to have attempted to open the conversation by saying "I have an equation, do you have one too?" By which he was referring to the "Dirac Equation,"