"Some self-identified incels... have developed an elaborate sociopolitical explanation for their sexual failures, one that centers on the idea that women are shallow, vicious, and only attracted to hyper-muscular men."

"They see this as a profound injustice against men like them, who suffer an inherent genetic disadvantage through no fault of their own. A small radical fringe believes that violence, especially against women, is an appropriate response — that an 'Incel Rebellion' or 'Beta [Male] Uprising' will eventually overturn the sexual status quo.... These incels post obsessively about so-called 'Chads,' meaning sexually successful and attractive men, and 'Stacys,' attractive, promiscuous women who sleep with the Chads. Both are positioned as unattainable: The Chad is the masculine ideal, one incel men cannot emulate for reasons of poor genetics, while the Stacy is whom every incel man wants to sleep with but cannot because they aren’t a Chad. It’s this embrace of helplessness, of their certainty of their own sexual doom, that makes the more extreme incel communities so dangerous... They see the world through the lens of entitlement: They are owed sex but cannot have it because women are shallow. This manifests in a deep and profound hatred for women as a group.... They see themselves as a class, oppressed by a social system that’s rigged in favor of other men. One post on an incel subreddit compared their worldview to Marxism, with incels playing the part of the proletariat and Chad the bourgeoisie...."

From "Incel, the misogynist ideology that inspired the deadly Toronto attack, explained" (Vox).