Can someone check my math on this?
Anything without records is only speculation. With core samples of ice, trees, whatever you can only speculate as to the temperature based on that evidence. The only way that we can know it for certain is if someone writes it down. I don't know how long people have been keeping track of temperature, but let's just assume it was immediately after the first writing system was invented which I believe is circa 5500 BC.
Let's go with the earth being the 4.54 billions of years old that science claims.
Now let's put this information onto a somewhat to scale timeline. We'll let the center of the Golden Gate Bridge be 0 or the beginning of the earth. The east end of the Williamsburg Bridge in New York would be the approximate location of right now on the timeline. That's a pretty long timeline. To find out where the first writing system began on the timeline you would need to turn around and walk approximately 26'.
If you were going to make a journey from New York to San Fransisco would you plan the entire trip based on the first 26 feet of travel?
The first,
sort of accurate, system for measuring temperature,
using a standardized scale was invented less than 300 years ago.
A network of weather stations numerous and sufficiently widespread to be called a
global network, has been around for, possibly, a century, and has gaps due to events like World War 1 and World War 2.
Indirect means of "measuring" temperatures before the invention of standardized thermometers are based on assumptions that may or may not be correct.
Warmistas talk in terms of tenths and hundredths of a degree Celsius, but instruments of that degree of accuracy are far more recent than Gabriel Fahrenheit.
The first means of somewhat accurate measuring the extent of ice in the Arctic, Antarctica, Greenland and various glaciers were satellites placed into orbit in 1979.
Putting this all together, mankind's
ability to take the measurements to observe Earth's climate only does back about three centuries.
High accuracy instruments are much more recent. Having the global network in place to use the term "global" meaningfully only goes back about a century (possibly much less), with gaps. Ice cap measuring capability is less than 40 years old.
IOW, Warmistas do not have the data necessary to be making the claims they are making. They are like little boys playing with themselves in the bath and excreting from the wrong body orifice.