[l33t2328]

Yes! We’d like our cryptographic hash functions to be collision resistant and preimage resistant.

That is, we’d like it to be hard to generate 2 different messages m1 and m2 where the hash of m1 is equal to the hash of m2, and we’d also like for it to be hard to compute any function of the message m(except the hash of m) if you’re given only the hash of m.

Non cryptographic hash functions don’t require these properties, and in fact some hashing algorithms used for data mining are designed to, for example, map near inputs to near outputs.