VIDEOS 1 TO 50

Propositional Logic: Syntax, Part 1

Published: 2015/05/28

Channel: David Agler

Predicate Logic: Basic Syntax

Published: 2017/02/07

Channel: David Agler

syntax and logic errors : definitions and causes

Published: 2015/09/17

Channel: Lord Logic's Computer Science channel

Mod-01 Lec-02 Propositional Logic Syntax

Published: 2012/09/03

Channel: nptelhrd

Syntax vs Semantics (Philosophical Distinctions)

Published: 2015/09/20

Channel: Carneades.org

Syntax (logic)

Published: 2016/01/22

Channel: WikiAudio

Python vs Visual Logic Syntax

Published: 2017/07/18

Channel: Jason Wertz

Propositional Logic: Syntax, Part 3

Published: 2015/05/30

Channel: David Agler

Being, Univocity, & Logical Syntax

Published: 2017/07/18

Channel: Philosophical Overdose

Predicate Logic Symbolization Summary

Published: 2007/04/17

Channel: jellologic

First Order Logic - Syntax and Semantics

Published: 2013/03/06

Channel: Jarrar Courses

Propositional Logic: Syntax, Part 2

Published: 2015/05/30

Channel: David Agler

Java: Syntax, Runtime, and Logic Errors

Published: 2013/01/31

Channel: Cameron Christensen

[Mathematical Linguistics] Predicate Logic Syntax

Published: 2016/05/30

Channel: TheTrevTutor

Vlogic: Syntax Trees

Published: 2014/01/30

Channel: Vlogic

Syntax, Logic, Runtime Errors in Java

Published: 2016/06/26

Channel: Brandan Jones

15) Errors -- Syntax, Runtime & Logic

Published: 2014/07/09

Channel: Joseph Bolen

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

Published: 2016/04/25

Channel: GATE CS LECTURES BY GATE BOOK

Java Programming Tutorial 06 Syntax Errors and Logical Errors

Published: 2011/02/09

Channel: Gaute Michel Ferstad

SEM122 - Predicate Logic II

Published: 2013/06/28

Channel: The Virtual Linguistics Campus

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

Published: 2017/01/09

Channel: Online Learners

Mod-01 Lec-16 Syntax of Propositional Logic

Published: 2015/03/18

Channel: nptelhrd

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

Published: 2014/10/21

Channel: TheTrevTutor

FOL (First Order Logic)

Published: 2015/07/20

Channel: Francisco Iacobelli

Artificial intelligence 23 Syntax For Preposition Logic in Ai

Published: 2017/01/25

Channel: Sanjay Pathak

Mod-04 Lec-03 Syntax and Semantics of CTL

Published: 2013/02/15

Channel: nptelhrd

syntax runtime and logical Errors in c#

Published: 2016/01/31

Channel: Umar Tech

Propositional Logic in Artificial Intelligence | PL | (Eng-Hindi) | #2

Published: 2017/03/17

Channel: Well Academy

Subjects and predicates | Syntax | Khan Academy

Published: 2016/08/23

Channel: Khan Academy

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

Published: 2014/04/12

Channel: Logic and Foundations of Mathematics

Mod-01 Lec-22 Lecture-22-Syntax of First order Logic (FL)

Published: 2012/07/23

Channel: nptelhrd

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

Published: 2012/05/20

Channel: OpenCourseOnline

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

Published: 2012/07/23

Channel: nptelhrd

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

Published: 2012/05/02

Channel: OpenCourseOnline

2.2 Syntax of Propositional Logic

Published: 2012/10/12

Channel: Daniel Junior

Lecture - 9 First Order Logic

Published: 2008/04/30

Channel: nptelhrd

Lesson 6 0 1 Syntax for Propositional Logic Part I

Published: 2016/09/19

Channel: Michael Gavin

Symbolic Logic Syntax, Semantics, and Proof

Published: 2016/04/09

Channel: Jeffrey Hill

1-8: Syntax and Run-time Errors

Published: 2012/02/01

Channel: Kent D. Lee

Mac Lane and Carnap’s Logical Syntax of Language 2005 10 11 awodey

Published: 2017/07/20

Channel: kujif

M2 Lec 2 - Propositional Logic: Syntax and Truth Values

Published: 2016/01/12

Channel: NOC16 Jan-May CS02

Java Errors: Little logic and syntax errors

Published: 2017/02/07

Channel: Josiah L

Symbolic Logic Syntax, Semantics, and Proof

Published: 2017/02/24

Channel: Rilo Kiley

Python Basics - 21 - Errors syntax, infinite, logical

Published: 2016/10/08

Channel: HYPED247

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

Published: 2017/05/20

Channel: Christian Hur

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

Published: 2015/10/13

Channel: yoitsfrancis

Error types Syntax,Run time and logical with Java [updated]

Published: 2015/05/20

Channel: Mohamed Khamis

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

Published: 2017/04/05

Channel: Free Books Online

Excel Logic Functions - IF, AND, and OR

Published: 2010/10/01

Channel: Ralph Phillips

Truth trees for propositional logic 1

Published: 2013/01/19

Channel: Kane B

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.

**^**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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