syntactic consistency
11HEBREW LANGUAGE — This entry is arranged according to the following scheme: pre biblical biblical the dead sea scrolls mishnaic medieval modern period A detailed table of contents precedes each section. PRE BIBLICAL nature of the evidence the sources phonology… …
12First-order logic — is a formal logical system used in mathematics, philosophy, linguistics, and computer science. It goes by many names, including: first order predicate calculus, the lower predicate calculus, quantification theory, and predicate logic (a less… …
13Mathematical logic — (also known as symbolic logic) is a subfield of mathematics with close connections to foundations of mathematics, theoretical computer science and philosophical logic.[1] The field includes both the mathematical study of logic and the… …
14Brouwer-Hilbert controversy — A foundational controversy in twentieth century history of mathematics opposed L. E. J. Brouwer, a supporter of intuitionism, and David Hilbert, the founder of formalism.BackgroundThe background for the controversy was set with David Hilbert s… …
15language, philosophy of — Philosophical study of the nature and use of natural languages and the relations between language, language users, and the world. It encompasses the philosophical study of linguistic meaning (see semantics), the philosophical study of language… …
16Entailment — 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… …
17Model theory — This article is about the mathematical discipline. For the informal notion in other parts of mathematics and science, see Mathematical model. In mathematics, model theory is the study of (classes of) mathematical structures (e.g. groups, fields,… …
18Natural deduction — In logic and proof theory, natural deduction is a kind of proof calculus in which logical reasoning is expressed by inference rules closely related to the natural way of reasoning. This contrasts with the axiomatic systems which instead use… …
19mathematics, foundations of — Scientific inquiry into the nature of mathematical theories and the scope of mathematical methods. It began with Euclid s Elements as an inquiry into the logical and philosophical basis of mathematics in essence, whether the axioms of any system… …
20MASORAH — This article is arranged according to the following outline: 1. THE TRANSMISSION OF THE BIBLE 1.1. THE SOFERIM 1.2. WRITTEN TRANSMISSION 1.2.1. Methods of Writing 1.2.1.1. THE ORDER OF THE BOOKS 1.2.1.2. SEDARIM AND PARASHIYYOT …
