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No one is telling you that can't say "Tolerance is a social contract." But when you frame that as being in opposition to Poppler's statement, rather than literally being a summation of his ultimate conclusion, all you're doing is spreading misinformation. There are people in this very thread who think that you're outright disagreeing with Poppler's conclusions.

The paradox is necessary, because without it you haven't built out the philosophical underpinnings to support your version of the statement. That doesn't mean that you have to start with the philosophical underpinnings - in many cases, you may not even need to elaborate on them at all - but you do need to understand them in order to defend yourself against common criticisms.

The problem with "Tolerance is a social contract", in absentia of Poppler's groundwork, is that someone will inevitably say "But you are violating the social contract by being intolerant of me. Surely I now have a right to be intolerant of you. Where does it end?" This is more commonly framed as, for example, "We have to allow Nazis on Twitter, because if we start censoring some political speech then we would have to censor all political speech. Otherwise how are we to judge which political speech is acceptable and which isn't?"

This sounds reasonable enough that most people will nod and say "That's a good point actually." But Poppler's framing cuts through those objections. It lays out, with absolute clarity that it is not not only good and necessary to silence intolerance, but that it is, in fact, impossible to create a tolerant space if you do not.

It's not meant to be a teaching tool. It was never originally framed as such. It's a proof; Poppler is showing his work.