For example, I just earned a second Revival badge. But the badges page only displays a checkmark, which means that there's no obvious way to see the frequencies.
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Easy. Click on your name, scroll to the bottom of the page, and you'll see the complete collection of badges you've earned. Here's that part of your profile from MSO:
If you're just interested in how many times you've received a particular badge, the information is at the bottom of your profile. For badges that can be earned multiple times, clicking the badge link on the profile page will show a page that lists which posts the badge was awarded for. For example, you can view the posts you revived.