In Mountain Lion with Messages and an iMessage account you can send an iMessages to either your Apple ID or the iPhone Number (if that is a "Receiving Alias" on the Mac version)
I tend to find it is easier to send to the iPhone via it;s Number from the Mac version and send to the Apple ID when going from iPhone to Mac.
You can only do this in the iMessage account. (it is no longer possible in the AIM Accounts since iChat 2 Jabber has never done it in iChat or Messages)
You may get "two " versions as it syncs Send and Receive across IDs and Numbers.
Please, if posting Logs, do not post any Log info after the line "Binary Images for iChat"
iMac 2.5Ghz 5i 2011 (Mountain Lion 10.8.2)
G4/1GhzDual MDD (Leopard 10.5.8)
MacBookPro 2Gb (Snow Leopard 10.6.8)
Mac OS X (10.6.8),
Couple of iPhones and an iPad
"Limit the Logs to the Bits above Binary Images." No, Seriously