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Why do we need a "trusted third party" between a client and a receiver when sending a message with a digital signature?

I mean what are the consequences if we don't do that?
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A digital signature is generated electronically and is only based on a person's public and private keys whereas in case of a digital certificate, it serves as an identity on internet just like your ID card. This requires a 3rd party organisation to verify you, similar to the case where you can't generate your own college ID and walk into any college you like (legally).

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