Final answer:
The statement that historic archaeology only studies cultures after the advent of writing is false; archaeology studies both prehistoric and historic periods.
Step-by-step explanation:
Historic archaeology is false in its strict definition as the study of cultures that exclusively existed after the advent of writing/state society. While history as an academic discipline traditionally focuses on civilizations post-writing, archaeology is the study of past cultures through both written and non-written artifacts, including those dating to times before writing was invented.
Archaeology encompasses the study of artifacts, fossils, and a broad range of cultural and environmental evidence to understand human societies, their evolution, and social development, without limiting itself to post-literate societies.