Could be a corrupted file. Try uninstalling InDesign and reinstall.
Indesign simply refuses to open. Icon bounces in the dock and then boom Problem report.
Upload the contents of the crash report to pastebin.com and paste a link here and we can give oyu some insight.
Also, you can open Terminal.app and run InDesign from there and see if it produces any diagnostics on the command line.
Just paste in: "/Applications/Adobe InDesign CS4/Adobe InDesign CS4.app/Contents/MacOS/Adobe InDesign CS4"
Note that you must include the quotes (which is unusual).