deductive system
31Inquiry — For other uses, see Public inquiry and Enquiry character. An inquiry is any process that has the aim of augmenting knowledge, resolving doubt, or solving a problem. A theory of inquiry is an account of the various types of inquiry and a treatment …
32Models of scientific inquiry — In the philosophy of science, models of scientific inquiry have two functions: first, to provide a descriptive account of how scientific inquiry is carried out in practice, and second, to provide an explanatory account of why scientific inquiry… …
33Formal proof — See also: mathematical proof, proof theory, and axiomatic system A formal proof or derivation is a finite sequence of sentences (called well formed formulas in the case of a formal language) each of which is an axiom or follows from the… …
34Fichte and Schilling: the Jena period — Daniel Breazeale FROM KANT TO FICHTE An observer of the German philosophical landscape of the 1790s would have surveyed a complex and confusing scene, in which individuals tended to align themselves with particular factions or “schools,”… …
35Theorem — The Pythagorean theorem has at least 370 known proofs[1] In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements …
36Entailment — For other uses, see Entail (disambiguation). In logic, entailment is a relation between a set of sentences (e.g.,[1] meaningfully declarative sentences or truthbearers) and a sentence. Let Γ be a set of one or more sentences; let S1 be the… …
37Empiricism — John Locke, a leading philosopher of British empiricism This article is about the field of philosophy. For the album by Borknagar, see Empiricism (album). Empiricism is a theory of knowledge that asserts that knowledge comes only or primarily via …
38Gödel's incompleteness theorems — In mathematical logic, Gödel s incompleteness theorems, proved by Kurt Gödel in 1931, are two theorems stating inherent limitations of all but the most trivial formal systems for arithmetic of mathematical interest. The theorems are of… …
39History of logic — Philosophy ( …
40logic, history of — Introduction the history of the discipline from its origins among the ancient Greeks to the present time. Origins of logic in the West Precursors of ancient logic There was a medieval tradition according to which the Greek philosopher …
