I deleted all my files, but can't re-download [Mac]

So I had some funk stuff going on with my Minecraft files, so I saved my save files and deleted them all. It turns out I forgot to paste all my save files first thought, and I took out the trash, woops

I have a recovery program running, but their are way too many files to look through, can someone tell me the path to the save folder?


The other problem is that once I re-downloaded Minecraft, I get this message every time I launch it:

You can't open the application Minecraft copy because it may be damaged or incomplete.

And then, I don't remember how, but once I managed to get in, but once I logged in it said I didn't have the game downloaded so it would let me play. Anyone know what I'm gonna have to redownload/delete?