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Your argument is the slippery slope fallacy. Nazis end game has been seen. They murder people. I don't hear Nazis saying we can coexist. You murder murderers. You silence people who want to permanently silence others. Idealistically silence them until they change their mind. Punching a Nazi might fix their brain damage at least make them think twice before they try to publicly express themselves

A slippery slope fallacy (SSF), in logic, critical thinking, political rhetoric, and caselaw, is a fallacious argument in which a party asserts that a relatively small first step leads to a chain of related events culminating in some significant (usually negative) effect.[1] The core of the slippery slope argument is that a specific decision under debate is likely to result in unintended consequences. The strength of such an argument depends on whether the small step really is likely to lead to the effect. This is quantified in terms of what is known as the warrant (in this case, a demonstration of the process that leads to the significant effect). This type of argument is sometimes used as a form of fearmongering in which the probable consequences of a given action are exaggerated in an attempt to scare the audience. Black and white cartoon of a tall woman in a dress reaching her knees and a shorter man holding a bouquet. Both are in front of a robed figure. Each of the marrying couples has a couple of their same-sex and similar attire behind.

The fallacious sense of "slippery slope" is often used synonymously with continuum fallacy, in that it ignores the possibility of middle ground and assumes a discrete transition from category A to category B. In this sense, it constitutes an informal fallacy. Other idioms for the slippery slope fallacy are the thin end/edge of the wedge, the camel's nose in the tent, or If You Give a Mouse a Cookie.

https://en.m.wikipedia.org/wiki/Slippery_slope