The paper aims to expose the induction – deduction relation within W. Whewell’s treatise «Novum Organon Renovatum». Since Aristotle’s time. induction and deduction have been interpreted as independent and even «opposite» inferences (ways of connecting premises and conclusions), but this intuition is violated in W. Whewell’s works. Based on contemporary practice of some specific natural sciences W. Whewell quite reasonably concludes that “Aristotle overlooks a step which is of far more importance to our knowledge, namely, the invention of the second (...) extreme term” and that “induction moves upward, and deduction downwards the same stair”. Ultimately, assessing the contribution of W. Whewell to the development and consolidation of the classical image of science, it can be noted that his thesis that “deduction justifies induction” is much more in line with the instrumentalism of E. Mach and A. Poincaré than J. Mill’s inductivism. (shrink)