Solid state light sources based on LEDs mounted on or within thermally conductive luminescent elements provide both convective and radiative cooling. Low cost self-cooling solid state light sources can integrate the electrical interconnect of the LEDs and other semiconductor devices. The thermally conductive luminescent element can completely or partially eliminate the need for any additional heatsinking means by efficiently transferring and spreading out the heat generated in LED and luminescent element itself over an area sufficiently large enough such that convective and radiative means can be used to cool the device.