I agree that global temperature reconstructions are bullshit and that coming up with a single temperature for the planet is fraught with potential error. The best way to know what the planet is doing is
not from global temperature reconstructions but from ice core data from the northern hemisphere polar region and from understanding the temperature ranges of previous interglacial glacial periods.
You might ask why polar regions? Or why northern hemisphere? Which are excellent questions because until one understands how the planet's unique landmass distribution is driving the planet's climate then questions like is the planet warming or should the planet be warming are meaningless because they have no proper context of what is normal.
But to directly answer your question....
Much of the last 10.000 years has been as warm or warmer than today so in that regard today's global average temperature is not out of range.
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Greenland Ice Core ^
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The current warming trend began ~400 years ago at the end of the little ice age which was 200 to 250 years before the industrial revolution began.
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If we look at past interglacial periods we see that the present interglacial period is 2C cooler than previous interglacials and that is with 120 ppm more atmospheric CO2. So the present interglacial is still in its normal range. And in fact, from an empirical perspective one must ask why it wouldn't continue to warm naturally until the next glacial period began. After all this is the trend of the past 3 million years.
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