 A light ray starts at the origin of the stationary frame K and reaches the location X at time T. During this time the origin of the moving frame advances a distance vT, leaving the distance X-vT for the light to travel to reach X. The light postulate says that the light travels at speed c in both frames, so X=cT, and X-vT=ct. Combining these equations leads to t=T-vX/c0. This is exactly the approximation of the Lorentz transform for v/c<<0. This analysis did not make any use of the clocks of the moving frame. My conclusion is that the time of the moving frame is determined (assigned ) by the light postulate, and is independent of any'everyday' time the moving clocks might have.  I hadnt intended a philosopical discussion. But rather an attempt to understand Einsteins relativity. 