What is the logic behind not needing an ID to vote?

Everyone has an ID. Poor people have ID, you literally need one for a bank account, tobacco/alcohol purchases, and basically every single government function.

Minorities are insulted by ignorance of those who think they're so poor and stupid they have no access to transportation or the Internet and live without an ID of any kind.

Why would you not need to prove you are who you are to vote in the USA when most other countries mandate it?

There should be voter ID
There's no need for voter ID
Select gender and age to cast your vote:
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Yes I know not literally every single last individual has an ID. I was speaking generally, the far majority of US citizens have an ID (I can't imagine the scholarly academics with no ID care to vote but that's not the point).
What is the logic behind not needing an ID to vote?
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