You need to completely remove all previous installations (and failed installations) of Java before installing the latest version. Please follow the instructions here for complete removal of Java:
Hope this helps. Let me know if you have any questions.
I do not any java installations on my computer.
You do not see the Java program in the Add and Remove Programs list, or you do not see it in the Windows Installer Cleanup utility window? (also please confirm that you have installed and run the Windows Installer Cleanup utility).
Ok, a few questions in light of your comment about the last step.:
1- Are you able to download other programs, or is it just the Java application?
2- What is the exact error message that you are getting, and at what point are you getting the error message (during download, after download, during installation, etc).
3- Are you trying to download Java from this site http://www.Java.com/en/ ? If not I suggest that you try it now
4- Approximately when did this problem start?
Then that is probably caused by Limewire which requires you to compromise on many of your privacy and security features.
I would suggest in this case to run System Restore which will roll back your system to the time before this problem started (i.e. before you downloaded Limewire).
To start the system restore wizard, close all programs, click Start > All Programs > Accessories > System Tools > System Restore. When the wizard dialog comes up check the Restore option. Then from the calendar page select the date you'd like the restore to go back to (select earliest possible date before you started noticing the problem). Next follow the prompts until computer reboots. Note: System Restore will not make you lose your personal files especially those which are stored in the My Documents folder. Also, if you do not like the result you can 'undo' the System Restore.
Ok I still need to know the exact error message and the action or website that triggers this error.