David Hume bridges a gap between classical and non-classical philosophy. Two major approaches in 20th century systematic philosophy - naturalism and relativism - have both basically been inspired by Hume and create the most controversy nowadays. The dethroning of the knowing agent and the spiritual substance from their privileged place opens way to "the death of God" (F. Nietzsche) or "the death of the Author" (R. Barthes). Hume's criticism of causality corresponds to the indeterminism of the quantum mechanics (B. Russell). K. Popper's falsificationism would hardly be possible without Hume's account of induction. L. Wittgenstein's considerations on rule following reveal similarities with Hume's idea of habit (S. Kripke) as well as with P. Bourdieu's concept of "habitus". D. Bloor likes "to think of Hume as Edinburgh's great sociologist of knowledge". The present collection is not a mere contribution to the history of philosophy, though it covers many problems of contemporary Humean scholarship and contains articles written by leading researchers in the field (B. Straud, R. Harre, J. Bricke, etc.). Its aim, rather, is to demonstrate the "vivacity" of Hume for contemporary philosophy. The authors' considerations range from the subtlest questions of the development of his thought and its impact on the contemporary, to the most recent and controversial topics in epistemology, philosophy of science, political theory and ethics.