My internal "Machintosh HD" is not detected by my MacBook Air
Try and format the disk by using Disk Utility built into the installer (Utility > Disk Utility) then try and reinstall.

This should work since 'Macintosh HD' is only a volume and not the actual SSD. I used this method to fix the b-node tree error or whatever it is where I couldn't write to it.

This worked