Science says: All the indicators show that global warming is still happening.
When looking for evidence of global warming, there are many different indicators that we should look for. While it's natural to start with air temperature, a more thorough examination should be as inclusive as possible: snow cover, ice melt, air temperature over land and sea, even the sea temperature itself. A 2010 study included 10 key indicators, and as shown above, every one of them is moving in the direction expected of a warming globe.
The question of global warming stopping is often raised in the when weather events that we don't typically associate with global warming happen—a big winter storm or drought-relieving rain. Global warming is entirely compatible with these events; after all, they are just weather. In climate change, it is the long-term trends that are important; measured over decades or more, and the long term trends show that the globe is still warming.
Science says: Empirical measurements of the Earth's heat content show the planet is still accumulating heat and global warming is still happening. Surface temperatures can show short-term cooling when heat is exchanged between the atmosphere and the ocean, which has a much greater heat capacity than the air.
To say we're currently experiencing global cooling overlooks one simple physical reality - the land and atmosphere are only one small fraction of the Earth's climate (albeit the part we inhabit). Global warming is by definition global. The entire planet is accumulating heat due to an energy imbalance. The atmosphere is warming. Oceans are accumulating energy. Land absorbs energy and ice absorbs heat to melt. To get the full picture on global warming, you need to view the Earth's entire heat content.
Church et al 2011 extends the analysis of Murphy 2009 which calculated the Earth's total heat content through to 2003. This new research combines measurements of ocean heat, land and atmosphere warming and ice melting to find that our climate system continued to accumulate heat through to 2008.
A look at the Earth's total heat content clearly shows global warming has continued past 1998. So why do surface temperature records show 1998 as the hottest year on record? Figure 1 shows the heat capacity of the land and atmosphere are small compared to the ocean (the tiny brown sliver of "land + atmosphere" also includes the heat absorbed to melt ice). Hence, relatively small exchanges of heat between the atmosphere and ocean can cause significant changes in surface temperature.
In 1998, an abnormally strong El Nino caused heat transfer from the Pacific Ocean to the atmosphere. Consequently, we experienced above-average surface temperatures. Conversely, the last few years have seen moderate La Nina conditions which had a cooling effect on global temperatures. And the last few months have swung back to warmer El Nino conditions. This has coincided with the warmest June-August sea surface temperatures on record. This internal variation where heat is shuffled around our climate is the reason why surface temperature is such a noisy signal.
Figure 1 also underscores just how much global warming the planet is experiencing. Since 1970, the Earth's heat content has been rising at a rate of 6 x 1021 Joules per year. In more meaningful terms, the planet has been accumulating energy at a rate of 190,260 gigawatts. Considering a typical nuclear power plant has an output of 1 gigawatt, imagine 190,000 nuclear power plants pouring their energy output directly into our oceans. Our climate is still accumulating heat. Global warming is still happening.
Moreover, even if we focus exclusively on surface and lower atmosphere temperatures, the warming continues. Foster and Rahmstorf (2011) used multiple linear regression to filter out the effects of the El Nio Southern Oscillation (ENSO), and solar and volcanic activity (Figure 2), and found that the undelying global surface and lower atmosphere warming trends have remained very steady in recent years (Figure 3).
Figure 2. Temperature data (with a 12-month running average) before and after the exogeneous factor removal. Click for larger image.
Figure 3. Average of all five data sets (GISS, NCDC, HadCRU, UAH, and RSS) with the effects of ENSO, solar irradiance, and volcanic emissions removed (Foster and Rahmstorf 2011)

