Please see this Knowledge Base article for tips in installing the Intel Compilers for Ubuntu and Debian:
I agree. This installer is a case-study in overdesign and consequent band-aid workarounds.
Under Debian, I'm finding that these prerequisites are deemed fatally missing unless the Debian release version is known to the installer. (This happens even though the 32-bit libraries are actually all present).
If the installer gets an OS version match, it seems to switch into the more permissive warning mode.
Grepping through the installer binary, "5.0" is the latest debian release number it knows about.
DEBIAN_50OS_DEBIAN_50Debian 5.0/etc/debian_version/etc/issue5.0Debian GUN/Linux 5.0IA32;IA64;INTEL6401
The key therefore is to change /etc/debian_version away from whatever it is ("squeeze/sid" in my case) to "5.0", and perhaps also to change the version number in /etc/issue to make it "Debian GUN/Linux 5.0".
The latter typo is so pathetically incompetent that I assume it can't possibly really be matched exactly - it seemed that changing /etc/debian_version alone might be enough.