Perhaps you haven't given much thought to the edge cases then. For example what if someone is posting racist articles on the web, are they violent or not? Well that's pretty easy - even if they are not directly violent they may incite violence in others so they partly share the blame. But what if they explicitly say that they are categorically against violence and it will just abstractly be better if certain inferior races would not exist and back it up with a rational-sounding argument? Another example. Is peaceful protest violent or non-violent? Well it is peaceful, nobody touches anyone - it is right in the name. But the protesters will probably bring inconvenience to someone, otherwise they won't be noticed - e.g. a sit-in will obstruct the workings of the target establishment. Is it violence or not? Is public shaming violence or not? It is just words after all, but words that can ruin someone's life. Etc.

I have given it a lot of thought. As has many other thinkers in history. It's not that hard.

1. Posting racist articles is not violence. It's speech. If someone decides to be violent after reading it, it's their decision and their responsibility.

2. Peaceful protest is in general not violent. It might be trespassing and other property crimes. That would give the police or possibly the victims of those crimes the right to use violence against the protestors. But that doesn't make the protests violent.

I can't help thinking the reason the left is so keen on calling speech violence, is that they want an excuse to commit violence against the speakers. Subconsciously, of course. Motivated Reasoning and all that.

Karl Popper argued that we need to use violence to cull intolerant ideas even if they aren't violent. If you think that it is wrong to do that then you are on the pacifists side and not the "We shouldn't tolerate intolerance" side.

> Karl Popper argued that we need to use violence to cull intolerant ideas even if they aren't violent

Incorrect.

Stop spreading lies, exact quote: "as long as we can counter them by rational argument and keep them in check by public opinion, suppression would certainly be unwise. But we should claim the right to suppress them if necessary even by force; for it may easily turn out that they are not prepared to meet us on the level of rational argument, but begin by denouncing all argument"

Important part: "But we should claim the right to suppress them if necessary even by force"

And there was no mention that the group were violent, just that they refused to listen. He mentioned that the group might get violent in the future not that they are, so we must strike them down preemptively.