Means pretty much what it sounds like. At the service entrance you bond the service grounded conductor to earth via the grounding electrode conductor. Then from that point on the neutral and equipment grounding conductors are kept isolated from each other os required by code. If you bond them downstream to each other, you effectively turn the equipment grounding conductor into a neutral current carrying conductor because they are now in parallel.
Now with that said you may or may not have a problem especially in a large building. At the service transformer, the neutral is bonded to ground. From the service transformer, only the grounded circuit conductors carried to the service entrance, no ground conductors. At your service entrance you are required to bond the grounded service conduct to ground again. If you have fairly low earth impedance, load current will flow on the grounding electrode conductor.
For example if your service entrance grounded service conductor impedance is .1 Ohm's, and your grounding electrode is 10 Ohm's with 100 amps flowing on the service grounded conductor, you will have 1 amp flowing on the ground electrode conductor. No way around that.