Well, I think there are a few key points I'd make ...
1. Many people argue that global warming is possibly due to 'natural factors' or is part of some 'natural cycle'. Then they leave it at that, as if that is an explanation. It isn't. Natural factors or processes, by definition, can be identified, measured, quantified, and analysed. The planet can't just warm or cool. There has to a physical reason for that.
2. The Little Ice Age was caused, we think, by a drop in solar output but there are still questions about how it happened. For example, there are still arguments over whether it was localized in the Northern hemisphere or whether the entire planet experienced cooling. The role of ocean currents is still being discussed. However, the general theory is that a combination of the solar output and ash and dust from some large volcanic eruptions played a role. The reason the planet started to warm after the LIA was because solar output increased and volcanic activity settled back.
3. We know that this warming continued into the 20th century. But we also know it stopped being the dominant mechanism. How? What we saw was the planet starting to cool slightly. There was no significant change in solar output and some large volcanic eruptions along with an increase in the 1940s onwards of sulphur dioxide and aerosol production from industry. As we cleaned up our emissions by the 1970s, we started to see increasingly rapid warming. This warming, over the past 50 years, did not follow solar output - when output dropped, temperatures still rose.
4. This rise in temperature since the 1970s has entirely different characteristics to what we would expect if the dominant mechanisms were the same as those bringing us out of the LIA. It occurs mostly at night, which is hard to explain on the basis of changes in solar output or volcanos. We see warming of the troposphere and cooling of the stratosphere. Both are consistent with greenhouse gas increases. So although it is easy to argue that the same processes are at work now as brought us out of the LIA, that is no longer consistent with what we observe. It is not the primary reason our planet has warmed since 1970 and was a diminishing factor in the 20th century leading to that point.
5. Finally, I'm always concerned when people try to explain observations using every possible mechanism *except* the one they disagree with. It smacks of bias ... we've had all manner of 'explanations' including solar variation, orbital variations, changes in galactic cosmic rays, changes in albedo due to human activities, changes in the siting of weather stations, urban heat island effects, the adjustment methods used by scientists to combine datasets, and so on. We've had people argue that the warming is a continuation of the same factors that brought us out of the LIA, yet then argue the temperature paused. So is it, or isn't it warming the planet? And I could go on ... but the point is made.