...which was precisely my point as well. Well to be precise, that we have no basis for asserting this modern warming is somehow unique.
We don't need to assert that it's unique. The possibility that a similar sudden increase in global temperatures may or may not have happened before doesn't discount what's happening now. This summary may help you to understand the linkage between CO2 and climate change.
1. We know the temperature is increasing and we know the approximate rate of increase.
2. We understand what caused those earlier cyclic increases you've mentioned.
3. With the info from 2 we can discount these cyclic causes as causes of the current warming
4. We have been aware since 1859 that small amounts of CO2 cause a greenhouse effect
5. We have, through 150 years of fossil fuel consumption, increased the amount of CO2 released into the atmosphere.
6. Through isotope measurements we have confirmed that increased atmospheric CO2 is from human sources
7. Through measurement we have confirmed that there is a correlation between atmospheric CO2 concentrations and temperature increase
8. Alternative causes of warming like sunspots, clouds, volcanic activity, forest clearance, aerosols, methane release etc. have either been discounted or assessed as relatively minor factors.
9. Modelling has predicted a relationship between atmospheric CO2 and global warming.
10. Comparing model predictions to actual results indicates that modelling is accurate for a given concentration of CO2
Uniqueness is not the issue.
OB