I want to install LinuxMint 17.1 on my machine what editor can I use to
check for errors in the /var/log/Xorg.0.log

The display server has been shut down about 6 time in the past 90 seconds waiting for 2 minutes before trying on display:0

You can use any text editor, though you may have to run it as root, depending on the permissions (I'm not near my Mint computer to check). In Mint, you can do that from the command line with sudo, even if it's a GUI editor.

Logs can be quite large; rather than a text editor, you may want to use tools such as tail, cat, and less in conjunction with grep. If you want to try them, a search will turn up many useful tutorials.

Here's a for instance, in which I use tail to search the end of the log and grep to filter out everything but lines including the string "config":

Granted, it takes a bit of practice to learn those tools and I'm still learning them, but, in the long run, the effort is well repaid.

If you are having trouble installing Mint because of this display issue, it might help to know what graphics card is in this machine. The odds are that the graphics card is part of the issue.

You open that file with 'less /var/log/Xorg.0.log'. You quit less by hitting 'q'. You search by hitting '/' and entering your search keyword and pressing 'Enter'.

If you want to search from begining hitting 'Home' and pressing 'n' each time.