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This seems very naive.

1) even if so, can I check my vote recorded at the district vote collection center is the same as the vote I meant to send?

More importantly, can I check the resulting numbers announced on TV/radio/online are the same as the sum of all legitimate votes, and not influenced by illegitimate votes, and not doctored?

This is all impossible, in any system of voting.

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It is very much possible with paper voting, or at least you can personally inspect every step of the way in the process for a small slice, and you can understand how others like you verify things in other slices.

Ultimately, you do need to rely on your co-citizens to help verify that the elections are valid (in a simple to verify system, i.e. paper voting), just like you need to rely on them to vote coherently and to abide by the results of the election.

I agree the believability is much better with paper trail. Paper creates hard-to-forge records that can be checked later, electronic communication is too complicated and hard to audit, especially origins of electronic records.

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