Ok I think I understand now. The diagrams were very helpful. The voltage from the collector in an emitter follower is 180 out of phase with the input. The RC network flips it 180 back into phase and results in oscillation when fed back with the input. Is that correct?
The 180 degree phase-shift from the emitter-follower amplifier stage is here due to using the emitter as ground potential and ground as "signal". That makes the amplifier an inverting amp, you simply switch + and - potentials to invert the signal to the feedback loop. This you can do for any circuit that carries a sine wave. By measuring the signal between + and - using - as ground you see the "in-phase" signal. By measuring the signal between + and - using + as ground you see the same signal, but inverted (out of phase by 180).
After this "trick", the rest is generic RC phase-shift oscillator theory, which you can find using the links that Antonis kindly provided. Without the diodes connected, there is absolutely nothing special in this circuit. It is a plain old RC phase shift oscillator and all the general theories related to it hold also in this circuit.