Ok, so the quick way to find given directory is just to use SystemOpen @ dir. E.g.
SystemOpen @ $UserBaseDirectory
I go there all the time so I added a menu to the main menu in order to not write this each time. Here's the procedure:
(*aux function*) dir = FileNameJoin[{ #, "SystemFiles", "FrontEnd", "TextResources", $OperatingSystem /. "MacOSX" -> "Macintosh"}] &; (*we are going to play inside $UserBaseDirectory to not break installation*) (*not everything from $ID is present in $USB so let's create that directory and file if that's necessary*) If[Not @ DirectoryQ @ #, CreateDirectory[#, CreateIntermediateDirectories -> True] ] & @ dir @ $UserBaseDirectory; CopyFile[ FileNameJoin[{dir@$InstallationDirectory, "MenuSetup.tr"}], FileNameJoin[{dir@$UserBaseDirectory, "MenuSetup.tr"}] ]; SystemOpen @ FileNameJoin[{dir@$UserBaseDirectory, "MenuSetup.tr"}]
Now you have to add the menu anywhere you find it handy:
Menu["Locations", { MenuItem["$UserBaseDirectory", KernelExecute[ SystemOpen[ $UserBaseDirectory] ], MenuEvaluator -> "System" ], MenuItem["$InstallationDirectory", KernelExecute[ SystemOpen[ $InstallationDirectory] ], MenuEvaluator -> "System" ], MenuItem["$TemporaryDirectory", KernelExecute[ SystemOpen[ $TemporaryDirectory] ], MenuEvaluator -> "System" ], MenuItem["NotebookDirectory[]", KernelExecute[ If[ ReplaceAll["FileName", NotebookInformation[SelectedNotebook[]]] =!= "FileName", SystemOpen[ NotebookDirectory[ SelectedNotebook[] ] ] ]], MenuEvaluator -> "System" ] }],
Don't miss any comma etc. Save, restart MMA and be happy:

SystemOpen @ $UserBaseDirectory? $\endgroup$defaults write com.apple.finder AppleShowAllFiles YESand then relaunch the Finder. You can also use Mathematica'sSystemOpencommand to access them, as @Kuba suggested. $\endgroup$$UserBaseDirectoryand$BaseDirectoryOS X. Did you do some kind of custom install? For instance,$BaseDirectoryis usually/Library/Mathematicaand this directory is not hidden in Yosemite. (I have not upgraded to El Capitan. $\endgroup$SystemOpen[$BaseDirectory]returns$Failed: i'm using Mathematica 12.0 and macOS 10.15.4 $\endgroup$