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Pro Sometimes simple is best
For short scripts, a heavyweight IDE just gets in the way. It's also easier for beginners to understand.
Pro Written in pure Python/tkinter
You can dig in and change how it works.
Pro Included in standard Python distributions
You probably already have it.
It has one.
Con No Tabbing for Files or Shell instances
Idle's Interactive Python Shell and the Python Text Editor are separate window applications. Many would expect them to be unified together within a single window. To create a python program file, or module, the user first opens Idle (It's Interactive Shell), then the user goes to [File] and [New File] to open the Idle Text Editor. Plus, every time a new python file is opened, a new instance of Idle runs separately. So, there are no tabbed modules. That's clumsy approach that adds the complexity of juggling around many Idle instances.