I cannot finish installing the Sims 4.

It's not a perfect solution as you it doesn't fix the second disc but this worked for me beautiful...

There is an advanced method which can be used to finish the installation to avoid waiting for a replacement disk or downloading the entire game. Using this method will let you keep the data you've already installed off Disk 1, and download the remainder of the data (approximately 500MB) from the download servers instead of from Disk 2.

If you wish to try it, follow these instructions exactly:

0) Start the Disk installation process using The Sims 4 Disk 1.
1) When the Origin prompt to insert Disk 2 appears on screen, hit Ctrl-Shift-Esc on your Keyboard to bring up Task Manager.
2a) Select the 'Processes' tab (Windows Vista/7) or 'Details' tab (Windows 8).
2b) Select Origin.exe from the list, and click the 'End Process' or 'End Tab' button.
3) Do NOT start Origin again until Step 7 or your unfinished installation will be deleted.
4) Open Windows Explorer / My Computer.
5) Paste this exactly into the Address Bar: C:\ProgramData\Origin\LocalContent
6) Delete the folder named The Sims 4. (Do NOT delete any other folders!)
7) Now start Origin again, and log into your account.
8) Right-click your The Sims 4 game tile, and select 'Download'.
9) Follow the download instructions.
10) Once the download begins, Origin will automatically detect the existing data and start your download at around 92% completed.
11) When the download/install finishes, right click your The Sims 4 game tile, and select 'Repair Game' to make sure everything is fully installed and up-to-date before playing.