Greenhouse Effect
The greenhouse effect is the warming of Earth's surface caused by atmospheric gases that absorb and re-emit infrared radiation from the ground.
Definition
The greenhouse effect is the natural warming of Earth's surface caused by gases in the atmosphere, chiefly water vapor, carbon dioxide, methane, nitrous oxide, and ozone, that let sunlight through but absorb the infrared heat the warmed ground gives off, then re-emit part of that energy back downward. This raises Earth's average surface temperature from about $-18^\circ C$ to about $15^\circ C$, and it happens because these gases have molecular vibrations that change their dipole moment, unlike symmetric nitrogen and oxygen, which make up $99\%$ of the air but do essentially none of the heat trapping. Radiative balance requires outgoing longwave radiation to match absorbed sunlight, about $240\ \text{W/m}^2$, so adding more greenhouse gases raises the effective emission height into colder air and forces the surface to warm further to restore that balance, an effect of roughly $3.7\ \text{W/m}^2$ for a doubling of $CO_2$.
Example
A car parked in the sun heats up inside because its windows let sunlight in but trap the resulting heat, much like the atmosphere does for the whole planet, and Venus shows the extreme version of this with a thick $CO_2$ atmosphere and a runaway greenhouse effect that keeps its surface near $460^\circ C$, hotter than Mercury despite being farther from the Sun. Atmospheric $CO_2$ has risen from about $280$ parts per million before industrialization to over $420$ ppm today, measured continuously at Mauna Loa since 1958.
Key Insight
The greenhouse effect is natural and necessary. Without it Earth would be a frozen ball well below freezing, and the effect only becomes a problem when extra greenhouse gases are added faster than natural processes remove them. The name is actually a historical accident, since a real greenhouse works mainly by blocking convection rather than trapping radiation, but the atmospheric version is genuinely radiative, and its physics was worked out by Fourier, Tyndall, and Arrhenius in the 1800s, long before anyone had measured the warming it predicted.