I am on Windows 10, and I am using the default install paths and settings except that I disabled BOINC screensaver. Installation will not continue. Any help is appreciated.

Try using https://support.microsoft.com/en-us/help/17588/windows-fix-problems-that-block-programs-being-installed-or-removed first.

Make sure you're using an administrator account to install BOINC.

And if you're using a third party anti virus, try disabling that before installing BOINC or whitelist BOINC its installer.

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Thank you. I tried running the diagnostic tool from that link and it said the troubleshooter could not identify the problem. I chose Run as Administrator when opening the BOINC installer. No antivirus on it.

I chose Run as Administrator when opening the BOINC installer.

That is not what I meant. The account you use day to day to do things with in Windows, is that an administrator account? You have to install BOINC with that.

But, looking around on the error more specifically, it looks like you have conflicts in your registry.
So please type regedit in Search and hit Enter, acknowledge the warning.

Navigate to HKEY_CURRENT_USER\Software\Space Sciences Laboratory, U.C. Berkeley and delete this key.
Navigate to HKEY_LOCAL_MACHINE\SOFTWARE\Space Sciences Laboratory, U.C. Berkeley and delete this key.

Then try installing BOINC again.

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Deleting those keys worked perfectly; I am up and running again! Thank you very much!