2 - The globe is in a warming cycle and man is contributing to its warming
It was in a cooling cycle, progressing to the next ice age. (Milankovich cycle) The abrupt departure from that trend is correlated to sharply rising CO2 levels in the atmosphere. The elevated level of CO2 due to the use of stored carbon as an energy source is not conjecture.
It is only in a "warming cycle" due to elevated greenhouse gases that are directly a result of use of fossil fuels by man. There are other potential sources, and some that become multiplied by the warming. For example methane in the permafrost is released by CO2 warming, unleashing vast amounts of methane which is over 20 times more effective as a greenhouse gas than the originating CO2.
You are flat out wrong... the earth was NOT in a warming cycle until man started dumping vast amounts of greenhouse gases into the atmosphere. It was cooling at a known rate. Now it is a departure trend... nothing cyclical at all about adding more crap into the air and it causing increasing warming. Do you even understand what a cycle is?