VIDEOS 1 TO 50

Propositional Logic: Syntax, Part 1

Published: 2015/05/28

Channel: David Agler

[Mathematical Linguistics] Predicate Logic Syntax

Published: 2016/05/30

Channel: TheTrevTutor

syntax and logic errors : definitions and causes

Published: 2015/09/17

Channel: Lord Logic's Computer Science channel

PGC Lectures: Programming Errors & Types, Syntax Error, Runtime Error, Logical Error

Published: 2017/01/09

Channel: Online Learners

FOL (First Order Logic)

Published: 2015/07/20

Channel: Francisco Iacobelli

Syntax vs Semantics (Philosophical Distinctions)

Published: 2015/09/20

Channel: Carneades.org

First Order Logic - Syntax and Semantics

Published: 2013/03/06

Channel: Jarrar Courses

1-2 Discrete Mathematics - Propositional Logic - The Syntax of Propositional Logic

Published: 2015/10/13

Channel: yoitsfrancis

[Natural Deductive Logic] Basic Syntax of PL || Lecture 2

Published: 2014/10/21

Channel: TheTrevTutor

Programming Logic & Syntax: The Programming Toolbox

Published: 2018/01/17

Channel: Banchory Academy Computing Science

5 - 2 - 6.2 Syntax-Introduction to Logic-Professor Mike Genesereth

Published: 2012/05/20

Channel: OpenCourseOnline

Syntax, Logic, Runtime Errors in Java

Published: 2016/06/26

Channel: Brandan Jones

Java Programming Tutorial 06 Syntax Errors and Logical Errors

Published: 2011/02/09

Channel: Gaute Michel Ferstad

2.2 Syntax of Propositional Logic

Published: 2012/10/12

Channel: Daniel Junior

Predicate Logic: Basic Syntax

Published: 2017/02/07

Channel: David Agler

Python vs Visual Logic Syntax

Published: 2017/07/18

Channel: Jason Wertz

Syntax Vs Semantics - Programming Languages

Published: 2012/06/03

Channel: Udacity

15) Errors -- Syntax, Runtime & Logic

Published: 2014/07/09

Channel: Joseph Bolen

Vlogic: Syntax Trees

Published: 2014/01/30

Channel: Vlogic

Mod-01 Lec-02 Propositional Logic Syntax

Published: 2012/09/03

Channel: nptelhrd

2 2 2 2 Syntax of Propositional Logic 7 min

Published: 2012/12/07

Channel: Osiris Salazar

syntax runtime and logical Errors in c#

Published: 2016/01/31

Channel: Umar Tech

Steve Awodey: Mac Lane and Carnap's Logical Syntax of Language

Published: 2014/04/12

Channel: Logic and Foundations of Mathematics

2 - 2 - 2.2 Syntax of Propositional Logic -Introduction to Logic-Professor Mike Genesereth

Published: 2012/05/02

Channel: OpenCourseOnline

Artificial intelligence 23 Syntax For Preposition Logic in Ai

Published: 2017/01/25

Channel: Sanjay Pathak

First order Logic in Artificial Intelligence | first order logic in ai | FOL | (Eng-Hindi) | #3

Published: 2017/03/18

Channel: Well Academy

Programming In Prolog Part 1 - Facts, Rules and Queries

Published: 2014/11/30

Channel: The Simple Engineer

Subjects and predicates | Syntax | Khan Academy

Published: 2016/08/23

Channel: Khan Academy

Propositional Logic: Syntax and Truth Values

Published: 2016/01/12

Channel: Artificial Intelligence

Propositional Logic: Syntax, Part 2

Published: 2015/05/30

Channel: David Agler

Propositional Logic: Syntax, Part 3

Published: 2015/05/30

Channel: David Agler

DM-18-First Order logic -Learn To write statements

Published: 2016/04/25

Channel: GATEBOOK Video Lectures

Unit 7 - Module 1: Introduction to LTL

Published: 2015/08/20

Channel: Model Checking

Mod-01 Lec-16 Syntax of Propositional Logic

Published: 2015/03/18

Channel: nptelhrd

Mod-04 Lec-03 Syntax and Semantics of CTL

Published: 2013/02/15

Channel: nptelhrd

Symbolic Logic Syntax, Semantics, and Proof

Published: 2016/04/09

Channel: Jeffrey Hill

Excel 2007 VBA Macro Development - Understanding Logic Errors and Syntax Errors

Published: 2017/04/05

Channel: Free Books Online

15 Debugging logic and syntax errors

Published: 2018/01/22

Channel: ForLearners

Mod-01 Lec-02 Lecture-02-Syntax of Propositional Logic

Published: 2012/07/23

Channel: nptelhrd

types of errors (syntax,linkage,logical and run time errors)

Published: 2017/05/01

Channel: panduranga thota

Java Errors: Little logic and syntax errors

Published: 2017/02/07

Channel: Josiah L

Lesson 6 0 1 Syntax for Propositional Logic Part I

Published: 2016/09/19

Channel: Michael Gavin

GCSE 2.3 How to identify syntax and logic errors

Published: 2018/01/14

Channel: craigndave

Java Tutorial For Beginners 9 - Logical Operators in Java

Published: 2014/12/21

Channel: ProgrammingKnowledge

016 Debugging logic and syntax errors

Published: 2017/11/21

Channel: About Programming

Books of Modal Logic An Introduction to its Syntax and Semantics

Published: 2015/10/21

Channel: Debra Elliott

What Is The Difference Between A Syntax Error And A Logical Error

Published: 2017/11/28

Channel: Bridget Kaufman

Program Development Process, Pseudocode, Syntax Error, Runtime Error, Logic Error

Published: 2017/05/20

Channel: Christian Hur

6 Debugging logic and syntax errors

Published: 2017/03/16

Channel: hans kurniawan

Syntax (logic)

Published: 2016/01/22

Channel: WikiAudio

In logic, **syntax** is anything having to do with formal languages or formal systems without regard to any interpretation or meaning given to them. Syntax is concerned with the rules used for constructing, or transforming the symbols and words of a language, as contrasted with the semantics of a language which is concerned with its meaning.

The symbols, formulas, systems, theorems, proofs, and interpretations expressed in formal languages are syntactic entities whose properties may be studied without regard to any meaning they may be given, and, in fact, need not be given any.

Syntax is usually associated with the rules (or grammar) governing the composition of texts in a formal language that constitute the well-formed formulas of a formal system.

In computer science, the term *syntax* refers to the rules governing the composition of well-formed expressions in a programming language. As in mathematical logic, it is independent of semantics and interpretation.

A symbol is an idea, abstraction or concept, tokens of which may be marks or a configuration of marks which form a particular pattern. Symbols of a formal language need not be symbols of anything. For instance there are logical constants which do not refer to any idea, but rather serve as a form of punctuation in the language (e.g. parentheses). A symbol or string of symbols may comprise a well-formed formula if the formulation is consistent with the formation rules of the language. Symbols of a formal language must be capable of being specified without any reference to any interpretation of them.

A *formal language* is a syntactic entity which consists of a set of finite strings of symbols which are its words (usually called its well-formed formulas). Which strings of symbols are words is determined by fiat by the creator of the language, usually by specifying a set of formation rules. Such a language can be defined without reference to any meanings of any of its expressions; it can exist before any interpretation is assigned to it – that is, before it has any meaning.

*Formation rules* are a precise description of which strings of symbols are the well-formed formulas of a formal language. It is synonymous with the set of strings over the alphabet of the formal language which constitute well formed formulas. However, it does not describe their semantics (i.e. what they mean).

A **proposition** is a sentence expressing something true or false. A proposition is identified ontologically as an idea, concept or abstraction whose token instances are patterns of symbols, marks, sounds, or strings of words.^{[2]} Propositions are considered to be syntactic entities and also truthbearers.

A **formal theory** is a set of sentences in a formal language.

A *formal system* (also called a *logical calculus*, or a *logical system*) consists of a formal language together with a deductive apparatus (also called a *deductive system*). The deductive apparatus may consist of a set of transformation rules (also called *inference rules*) or a set of axioms, or have both. A formal system is used to derive one expression from one or more other expressions. Formal systems, like other syntactic entities may be defined without any interpretation given to it (as being, for instance, a system of arithmetic).

A formula A is a **syntactic consequence**^{[3]}^{[4]}^{[5]}^{[6]} within some formal system of a set Г of formulas if there is a derivation in formal system of A from the set Г.

Syntactic consequence does not depend on any interpretation of the formal system.^{[7]}

A formal system is *syntactically complete*^{[8]}^{[9]}^{[10]}^{[11]} (also *deductively complete*, *maximally complete*, *negation complete* or simply *complete*) iff for each formula A of the language of the system either A or ¬A is a theorem of . In another sense, a formal system is syntactically complete iff no unprovable axiom can be added to it as an axiom without introducing an inconsistency. Truth-functional propositional logic and first-order predicate logic are semantically complete, but not syntactically complete (for example the propositional logic statement consisting of a single variable "a" is not a theorem, and neither is its negation, but these are not tautologies). Gödel's incompleteness theorem shows that no recursive system that is sufficiently powerful, such as the Peano axioms, can be both consistent and complete.

An *interpretation* of a formal system is the assignment of meanings to the symbols, and truth values to the sentences of a formal system. The study of interpretations is called formal semantics. *Giving an interpretation* is synonymous with *constructing a model*. An interpretation is expressed in a metalanguage, which may itself be a formal language, and as such itself is a syntactic entity.

- Symbol (formal)
- Formation rule
- Formal grammar
- Syntax (linguistics)
- Syntax (programming languages)
- Mathematical logic
- Well-formed formula

**^**Dictionary Definition**^**Metalogic, Geoffrey Hunter**^**Dummett, M. (1981).*Frege: Philosophy of Language*. Harvard University Press. p. 82. ISBN 9780674319318. Retrieved 2014-10-15.**^**Lear, J. (1986).*Aristotle and Logical Theory*. Cambridge University Press. p. 1. ISBN 9780521311786. Retrieved 2014-10-15.**^**Creath, R.; Friedman, M. (2007).*The Cambridge Companion to Carnap*. Cambridge University Press. p. 189. ISBN 9780521840156. Retrieved 2014-10-15.**^**"syntactic consequence from FOLDOC". swif.uniba.it. Retrieved 2014-10-15.**^**Hunter, Geoffrey, Metalogic: An Introduction to the Metatheory of Standard First-Order Logic, University of California Pres, 1971, p. 75.**^**"A Note on Interaction and Incompleteness" (PDF). Retrieved 2014-10-15.**^**"Normal forms and syntactic completeness proofs for functional independencies". portal.acm.org. Retrieved 2014-10-15.**^**Barwise, J. (1982).*Handbook of Mathematical Logic*. Elsevier Science. p. 236. ISBN 9780080933641. Retrieved 2014-10-15.**^**"syntactic completeness from FOLDOC". swif.uniba.it. Retrieved 2014-10-15.

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