Abstract: Laws of computer science are prescriptive in nature but can have descriptive analogs in the physical sciences. Here, we describe a law of conservation of information in network programming, and various laws of computational motion (invariants) for programming in general, along with their pedagogical utility. Invariants specify constraints on objects in abstract computational worlds, so we describe language and data abstraction employed by software developers and compare them to Floridi's concept of levels of abstraction. We also consider Floridi's structural (...) account of reality and its fit for describing abstract computational worlds. Being abstract, such worlds are products of programmers' creative imaginations, so any "laws" in these worlds are easily broken. The worlds of computational objects need laws in the form of self-prescribed invariants, but the suspension of these laws might be creative acts. Bending the rules of abstract reality facilitates algorithm design, as we demonstrate through the example of search trees. (shrink)

The response given to C.G. Hempel’s well-known challenge by Arthur Danto in his Analytical Philosophy of History of 1965 – that deductive-nomological and narrative explanations are logically compatible yet employ incommensurable schemata – is here investigated from a historical perspective. It is shown that the developmental trajectory that emerges from an analysis of Danto’s previous writings – including not only a forgotten paper of 1958 but also his PhD dissertation of 1952 – contains distinctive step-changes with publications of 1953 and (...) 1956 still prior to that of 1958–59 which enabled his subsequent discovery of narrative sentences. It is also argued that Danto’s developmental trajectory runs contrary to that presumed by some prominent commentators. Analytical History of Philosophy was not the midpoint of his ascent from mainstream philosopher of science to high priest of postmodern aesthetics, but represents a reasoned retreat from his early historical idealism. (shrink)