Just watched the video. It wasn't a debate, at all. Just dancing around the questions that couldn't be answered by "science".
The discussion was regarding documentation (I'll avoid using the word prove here) about the ASSERTION that evidence of climate change is the rate at which the climate is changing. Nye went on to quote documentation of events that appear to document climate change. I don't think anyone would really deny that the global climate is changing. The key question in this discussion is what is the cause. If one points to the rate in which climate change is progressing as evidence that humans are the cause, but yet cannot answer the questions let alone document facts to support that ASSERTION, it's just a belief.
Ok, devil's advocate. Carlson's question about what would the climate be like if there are no humans to me isn't a "fair" one. Sort of like the Back to the Future deal where events of the past change the future. I don't think anyone can say with the level of certainty that would be required to prove something to assert that if humans never started burning coal that the sea levels wouldn't be rising at the rate they are today. That Nye points out the "fact" that wine producers are having to grow their crops further north than every before is perhaps an interesting tid-bit of information, but hardly proves that the global climate would be where it was in 1750 (or whatever the year he said).
If one is to cite data to prove something, one has to take into overall context of that data. Nye starts by saying that the last ice age was 10,000 years ago and then goes on to say something about effects are apparent over millions of years. Rate of change is measureable change over time. Nye couldn't answer either, at least to me. It wasn't a debate. It was someone spewing their stubbornly held beliefs and stating phenomenon that they believe as linked to that phenomenon. When the "debate" strays to appealing to Carlson's emotions about caring for his children is when I tend to roll my eyes.
To me, it all goes back to what is the main issue. In my mind, the main issue here is the money that is being allocated to solving the "climate change problem" and that money is coming from all of us. If I am going to pay for something, you better be able to convince me that it's worth it. Not just a "trust me, I'm a scientist and know better than anyone" view point. Yes, I may ultimately pay for the "climate change problem", which to me, at least right now seems to be a solution searching for a problem in that it has yet to be proven what causes climate change.
Ok. People would get sick. Say a local juju-man noticed that after a sick person sneezed in the presence of another and that the other would then get sick, the juju-man blamed it on the "rush of bad juju coming from the sick person and bad spirits causing transfer of bad juju". Well, what was really happening is the sick person was spreading microscopic germs (bacteria, virus, etc) that caused the illness. However, at that time, there wasn't any technology to prove that was happening, so the local juju-man's explanation was accepted as truth, which was really for the lack of better understanding. Hell, it's common sense right. Sick man sneezes, another gets sick, sneeze caused sickness. Well, yeah, the sneeze is that contributed to the transfer of the germs, but as it turns out, wasn't the root cause. In this case, maybe man's actions are the root cause, but it is up to those who assert that that is the case to prove their point, not for the skeptics to prove otherwise.