What does the term "differential" in "differential privacy" mean? I'm new in Differential Privacy (DP) and I have two questions:


Why do we have the term differential in differential privacy?
Are The local and global differential privacy and global and local sensitivity referring to different concepts?
The term "differential" was proposed by Mike Schroeder, to characterize the guarantee as being a relationship between distributions with and without any input record. At the time most papers simply defined "(x,y,z)-privacy as ..." and the work felt of a sufficiently different character (both weaker and stronger than prior work) to call out the distinction.

Other adjectives that were discarded were "incremental privacy" and "marginal privacy", for retrospectively obvious reasons.

The name stuck in part due to the analogy to differential cryptanalysis.
Yes, per Ted's answer, which is exactly correct.