The paper reveals some mostly unnoticed and unexpected trends in reception of novel ideas in science. The author formulates certain principles of the reception of these ideas by scientific communities and justifies them by examples from modern mathematics and non-classical logic.

What is logical relevance? Anderson and Belnap say that the “modern classical tradition [,] stemming from Frege and Whitehead-Russell, gave no consideration whatsoever to the classical notion of relevance.” But just what is this classical notion? I argue that the relevance tradition is implicitly most deeply concerned with the containment of truth-grounds, less deeply with the containment of classes, and least of all with variable sharing in the Anderson–Belnap manner. Thus modern classical logicians such as Peirce, Frege, Russell, Wittgenstein, and (...) Quine are implicit relevantists on the deepest level. In showing this, I reunite two fields of logic which, strangely from the traditional point of view, have become basically separated from each other: relevance logic and diagram logic. I argue that there are two main concepts of relevance, intensional and extensional. The first is that of the relevantists, who overlook the presence of the second in modern classical logic. The second is the concept of truth-ground containment as following from in Wittgenstein’s Tractatus. I show that this second concept belongs to the diagram tradition of showing that the premisses contain the conclusion by the fact that the conclusion is diagrammed in the very act of diagramming the premisses. I argue that the extensional concept is primary, with at least five usable modern classical filters or constraints and indefinitely many secondary intensional filters or constraints. For the extensional concept is the genus of deductive relevance, and the filters define species. Also following the Tractatus, deductive relevance, or full truth-ground containment, is the limit of inductive relevance, or partial truth-ground containment. Purely extensional inductive or partial relevance has its filters or species too. Thus extensional relevance is more properly a universal concept of relevance or summum genus with modern classical deductive logic, relevantist deductive logic, and inductive logic as its three main domains. (shrink)

In 1928 Ivan Orlov published a remarkable paper which contains the first formulation of a relevant logic. The paper remained largely unknown to English-speakers until this discovery of relevant log...

During the last quarter of the twentieth century, Soviet Russian philosophy did away with ideology in the fields of Science; but until the mid-1980s, scientists could not escape intense ideological scrutiny. A great number of Soviet scientists did their best to avoid this ideological supervision, and pursued their research, remaining neutral toward Marxist ideology. Among these fields of research were so called “philosophical problems of natural sciences”. Some Soviet Russian philosophers put forward original conceptions of scientific development, the structural features (...) of science, and/or provided novel interpretations of certain scientific principles and ideas. These thinkers had deep roots in Marxism, though not orthodox Marxism. They, so to speak, overcame classical Marxism and proposed innovative ideas largely based upon epistemological considerations. The legacies of I. S. Alekseev and M. A. Rozov are especially worthy of attention for their original epistemological contributions to the philosophy of science. (shrink)