If my preamp inverts and my amp is non inverted then there is no need to correct the phase is that correct?
No, that is wrong, and what Benie indicated has no basis as far as I am aware.
Whether the amp and preamp are individually phase inverting or not is of no significance; what matters is the overall system response.
The idea is that the polarity of the source material should be the polarity that is fed to the speakers.
Also, I must say that I am surprised that this thread has produced so much discussion of whether or not absolute phase/polarity makes an audible difference. Just make the system polarity correct, and whether or not polarity makes an audible difference on your system with your recordings then becomes irrelevant.
If it does make a difference, your system will then be optimized for best results on those recordings on which it is likeliest to make a difference (audiophile-caliber, simply mic'd, minimally processed recordings, particularly those containing sharp percussive sounds). If it doesn't make a difference, then nothing will be lost by connecting that way. It's as simple as that.
Regards,
-- Al