Scientific theories and methods developed within the framework of quantum and relativistic physics are the most representative paradigmatic instantiations of non-classical science. The profile of non-classical science is exposed through the analysis of a set of epistemic ideals and methodological principles. The adoption of the principle of operational relativity of phenomenal descriptions showed that a reference to the means of observation had become an intrinsic part of scientific description strategies. The transformation of the concept of objectivity can be seen in a specific combination of operationalism with interactional phenomenalism and constructivism. The introduction of the principle of complementarity marked the deviation from the standards of a monologic and linear description of the objects under study. This principle provides the operational basis for the integration of different parts of our knowledge with regard to non-trivial cognitive situations featured by the indeterminacy relations. Another prominent methodological trend is the reconsideration of the value of strict deterministic explanation strategies in favour of probabilistically oriented approaches. Scientists have encountered a new class of regularities that are typically analysed in terms of various types of statistical and non-causal determination. Nevertheless, it would be wrong to assume that any probabilistic account of natural phenomena implies indeterminism.