Why we have both:
True airspeed tells you how fast you'll get there, wind considerations not withstanding. TAS was mostly a navigation tool, and is useful for bragging rights as to which plane really is faster.
The plane flies, and all the numbers like stall speed, never exceed speed, flap extension speeds, etc. are based on INDICATED air speed, since that is a better measure of the forces on the airframe. It is affected slightly by temperature, and mostly by air density and humidity.
We don't have Corrected (or calibrated) Air Speed, which is a measure of the accuracy of the Indicated Air Speed at a particular speed reading. That is mostly affected by the angle of attack for a plane flying straight and level at a particular airspeed.