Scientific knowledge relies heavily on models, shaped by simplifying assumptions, with common categories being abstraction and idealization. This article aims to expose conceptual challenges inherent in conventional interpretations of these concepts, particularly in their practical application to scientific modeling. The primary hurdle emerges in applying these categories to real­world instances of scientific modeling, which we illustrate with examples of non­causal explanations. Key issues revolve around (i) the ambiguous distinction between abstraction and idealization and (ii) the application of the simplifying assumption (...) of abstraction. Our hypothesis posits that non­causal explanations face unintelligibility due to an unclear understanding of the role of simplifying assumptions in them. To test this, we analyze selected examples, ranging from (toy­)examples to real­world instances, scrutinizing the alignment with the standard notions of abstraction and idealization. Throughout, we investigate the influence of simplifying assumptions on these explanations, assessing their adherence or deviation from conventional concepts. (shrink)

The paper discusses some of the poorly explored links between the conceptual systems of logic in Kurt Gödel, the theory of automata in Alan Turing, and the theory of self-reproducing automata in John von Neumann. Traditional controversies are left aside (especially the opposition of Gödel and Turing in the view of mind) and attention is focused on the similarities between all three authors. In individual chapters, the text deals with: the form of differentiation of syntax and semantics in formal system (...) in Gödel, Turing and von Neumann; von Neumann’s variant of Gödel’s theorem and von Neumann’s and Gödel’s conception of Turing machine; and finally the same basis of the view of the relation between mind and automaton in all three authors. (shrink)

Linguistic theories often suffer from the dilemma that their explanatory power is based on extra-linguistic assumptions. The book delineates the essence of linguistic theory and linguistic explanation and, in doing so, proposes a solution to the dilemma. Simultaneously, the book is one of the first attempts to profile the philosophy of linguistics as a distinct sub-discipline of the contemporary philosophy of science.