diff --git a/book/source/03-cryptography.md b/book/source/03-cryptography.md
index bf4de3d..459e25d 100644
--- a/book/source/03-cryptography.md
+++ b/book/source/03-cryptography.md
@@ -111,20 +111,20 @@ So in OpenPGP, the pair of terms "public/secret key" is sometimes used instead o
 
 ### Cryptographic digital signatures
 
-[Digital signatures](https://en.wikipedia.org/wiki/Digital_signature) are a mechanism that is based on asymmetric cryptography. With this mechanism, one actor can make a signature over a digital message, and another actor can check the validity of that signature.
+[Digital signatures](https://en.wikipedia.org/wiki/Digital_signature) are a fundamental mechanism of asymmetric cryptography, providing secure, mathematical means to validate the authenticity, integrity, and origin of digital messages and documents. 
 
-The signer uses digital signatures to make statements about the message. Third parties can then inspect these statements.
+In OpenPGP, digital signatures have diverse applications, extending beyond mere validation of a message's origin. They can signify various intents, including certification, consent, acknowledgment, or even revocation by the signer. The multifaceted nature of "statements" conveyed through digital signatures in cryptographic protocols is wide-ranging but crucial, allowing third parties to inspect/evaluate these statements for authenticity and intended purpose.
 
 ```{admonition} VISUAL
 :class: warning
 
-- add visualization showing: message + private key + sign = signature -> message + signature + public key + verify = ok?
+- add visualization showing: message + private key (signing) = signature -> message + signature + public key (verification) = validation confirmed?
 ```
 
-In OpenPGP, digital signatures are used in two different contexts:
+Digital signatures in OpenPGP are used in two primary contexts:
 
 - [Certification statements](certifications_chapter)
-- [Signatures over data](signing_data)
+- [Data signatures](signing_data)
 
 (hybrid_cryptosystems)=
 ## Hybrid cryptosystems