Obviously...
Obviously, we haven't see any catastrophic warming in the last hundreds years, nor is likely we will see any catastrophic warming in the future.
If you were standing near the edge of a steep cliff, and inching slowly closer to it, would your logic apply?
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What if you were blindfolded and didn't KNOW there was a cliff there?
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What if someone TOLD you there was a cliff?
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The issue of "catastrophic" warming is a difficult one. How do you define "catastrophe", for instance. FOr the Larsen ice shelf, quite evidently, catastrophic warming has already occurred. FOr human civilisation, it has not.
Will it happen at some time in the future? Honestly, I don't know.
What I do know is that we haven't got the proverbial snowball's chance of STOPPING the emission of CO2 at present-day rates, or even higher, as the rest of the world industrialises. We can't store that CO2 underground, so we're stuck with it and will just have to get used to whatever happens next, whether it's catastrophic, or merely a little inconvenient. Inevitably, the pain will not be evenly distributed...