Linux Mint 14 requires a processor that support PAE
; see the system requirements in the release announcement
. A select few Pentium M models do not support PAE, and that is unfortunate if you have one of those. All other x86 and x86-64 processors introduced since 1995 do support PAE, but that fact doesn't help you now of course...
Linux Mint is based on Ubuntu, and Ubuntu has dropped non-PAE support from Ubuntu 12.10 onwards (on which Linux Mint 14 is based). That means that Ubuntu no longer builds or provides kernels that will work on your processor. There was no time available to work on a viable solution for this during the Linux Mint 14 development phase, and hence the team for now recommends you use Linux Mint 13 on non-PAE processors.
You can download Linux Mint 13 from here (pick a 32-bit one, 64-bit will also not work on your processor): http://www.linuxmint.com/release.php?id=18
. Linux Mint 13 is the long-term support release, and you can continue using that till April 2017.