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Propositional Logic: Semantics, Part 1

Published: 2015/06/04

Channel: David Agler

2.3 Semantics of Propositional Logic

Published: 2012/10/12

Channel: Daniel Junior

What Makes a Sentence True or False? Predicate Logic

Published: 2015/10/07

Channel: The Ling Space

The semantics of predicate logic

Published: 2015/04/14

Channel: G. Randolph Mayes

Predicate Logic Semantics - Models

Published: 2017/02/13

Channel: David Agler

"Language and semantics of classical logic" - UNIT 1: CLASSICAL PROPOSITIONAL LOGIC

Published: 2017/01/27

Channel: Cursos On-Line Masivos

Mod-01 Lec-37 Semantics of Predicate Logic

Published: 2015/03/18

Channel: nptelhrd

Propositional Logic: Semantics, Part 2

Published: 2015/06/03

Channel: David Agler

The Semantics of Standard Deontic Logic

Published: 2015/10/21

Channel: Carneades.org

An Introduction to Propositional Logic

Published: 2015/05/28

Channel: David Agler

Modal Semantics & Metaphysics

Published: 2013/05/19

Channel: Philosophy Overdose

The Semantics of Augmented Deontic Logic

Published: 2015/10/22

Channel: Carneades.org

2 - 3 - 2.3 Semantics of Propositional Logic-Introduction to Logic-Professor Mike Genesereth

Published: 2012/05/02

Channel: OpenCourseOnline

What is meaning? Semantics, semiotics, logic & the meaning of words -- Linguistics & Logic 101

Published: 2012/09/05

Channel: NativLang

Unit 7 - Module 1: Introduction to LTL

Published: 2015/08/20

Channel: Model Checking

Lecture 4: The semantics of propositional logic

Published: 2015/10/01

Channel: Logic for CS, Shai Ben-David, U Waterloo Fall 2015

SEM121 - Entailment

Published: 2013/05/16

Channel: The Virtual Linguistics Campus

What is Kripke Semantics? (Modal Logic)

Published: 2017/10/15

Channel: Carneades.org

Lecture: Unit 9 Predicate Logic Semantics Part I

Published: 2016/11/25

Channel: Alex Koo

Formal semantics (logic)

Published: 2016/01/22

Channel: WikiAudio

Propositional Logic: Syntax, Part 1

Published: 2015/05/28

Channel: David Agler

Mod-01 Lec-18 The Semantic of Predicate Logic

Published: 2012/09/03

Channel: nptelhrd

SEM122 - Predicate Logic II

Published: 2013/06/28

Channel: The Virtual Linguistics Campus

SEM122 - Predicate Logic I

Published: 2013/06/12

Channel: The Virtual Linguistics Campus

Modal Logic (Basics)

Published: 2014/04/18

Channel: Carneades.org

ICTAC2015 Conference - Oral Session on Logic and Semantics

Published: 2015/12/10

Channel: ICTAC2015

FOL (First Order Logic)

Published: 2015/07/20

Channel: Francisco Iacobelli

Mod-04 Lec-03 Syntax and Semantics of CTL

Published: 2013/02/15

Channel: nptelhrd

Vladimir Lifschitz "What answer set solvers tell us about the semantics of logic programs"

Published: 2012/11/21

Channel: Yegor Bryukhov

Epistemic Logic

Published: 2016/04/10

Channel: Artificial Intelligence

Ontology, semantics and logic

Published: 2010/12/02

Channel: AProudAtheist

Unit 7 - Module 2: Semantics of LTL

Published: 2015/08/20

Channel: Model Checking

MarkLogic Semantics: When RDF Alone is Not Enough

Published: 2015/04/28

Channel: MarkLogic

Semantics

Published: 2016/01/12

Channel: Artificial Intelligence

Philosophy 2020 (001): Basic Logic. Youtube Lecture 3 - Truth Functional Semantics

Published: 2011/10/25

Channel: Philosophy2020UWO

semantics for propositional logic

Published: 2013/02/13

Channel: Wheeler Ruml

Semantics of Reductionist Deontic Logic

Published: 2015/10/29

Channel: Carneades.org

SEM120 - Sentence Semantics

Published: 2013/04/05

Channel: The Virtual Linguistics Campus

[Mathematical Linguistics] Compositional Semantics with Predicate Logic

Published: 2016/06/03

Channel: TheTrevTutor

"K3 and LP: Language, semantics and logic" - UNIT 3: THE LIAR PARADOX

Published: 2017/01/27

Channel: Cursos On-Line Masivos

2.2 Syntax of Propositional Logic

Published: 2012/10/12

Channel: Daniel Junior

Deep Natural Language Semantics - Raymond Mooney

Published: 2014/11/26

Channel: Allen Institute for Artificial Intelligence (AI2)

Lecture: Unit 9 Predicate Logic Semantics Part II

Published: 2016/11/24

Channel: Alex Koo

Propositional Logic: Language, Semantics and Reasoning

Published: 2016/01/12

Channel: Artificial Intelligence

First Order Logic - Syntax and Semantics

Published: 2013/03/06

Channel: Jarrar Courses

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

Published: 2017/03/17

Channel: Well Academy

Saul Kripke's Theory of Truth (Semantic Type-Free)

Published: 2017/10/22

Channel: Carneades.org

Mod-01 Lec-02 Propositional Logic Syntax

Published: 2012/09/03

Channel: nptelhrd

1-3 Discrete Mathematics - Propositional Logic - The Semantics of Propositional Logic

Published: 2015/10/13

Channel: yoitsfrancis

Brandom on Incompatibility, Modal Semantics & Intrinsic Logic (with Jaroslav Peregrin)

Published: 2013/05/14

Channel: Philosophy Overdose

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In logic, the **semantics of logic** is the study of the semantics, or interpretations, of formal and (idealizations of) natural languages usually trying to capture the pre-theoretic notion of entailment.

The truth conditions of various sentences we may encounter in arguments will depend upon their meaning, and so logicians cannot completely avoid the need to provide some treatment of the meaning of these sentences. The semantics of logic refers to the approaches that logicians have introduced to understand and determine that part of meaning in which they are interested; the logician traditionally is not interested in the sentence as uttered but in the proposition, an idealised sentence suitable for logical manipulation.^{[citation needed]}

Until the advent of modern logic, Aristotle's *Organon*, especially *De Interpretatione*, provided the basis for understanding the significance of logic. The introduction of quantification, needed to solve the problem of multiple generality, rendered impossible the kind of subject-predicate analysis that governed Aristotle's account, although there is a renewed interest in term logic, attempting to find calculi in the spirit of Aristotle's syllogistic but with the generality of modern logics based on the quantifier.

The main modern approaches to semantics for formal languages are the following:

**Model-theoretic semantics**is the archetype of Alfred Tarski's semantic theory of truth, based on his T-schema, and is one of the founding concepts of model theory. This is the most widespread approach, and is based on the idea that the meaning of the various parts of the propositions are given by the possible ways we can give a recursively specified group of interpretation functions from them to some predefined mathematical domains: an interpretation of first-order predicate logic is given by a mapping from terms to a universe of individuals, and a mapping from propositions to the truth values "true" and "false". Model-theoretic semantics provides the foundations for an approach to the theory of meaning known as Truth-conditional semantics, which was pioneered by Donald Davidson. Kripke semantics introduces innovations, but is broadly in the Tarskian mold.**Proof-theoretic semantics**associates the meaning of propositions with the roles that they can play in inferences. Gerhard Gentzen, Dag Prawitz and Michael Dummett are generally seen as the founders of this approach; it is heavily influenced by Ludwig Wittgenstein's later philosophy, especially his aphorism "meaning is use".**Truth-value semantics**(also commonly referred to as*substitutional quantification*) was advocated by Ruth Barcan Marcus for modal logics in the early 1960s and later championed by Dunn, Belnap, and Leblanc for standard first-order logic. James Garson has given some results in the areas of adequacy for intensional logics outfitted with such a semantics. The truth conditions for quantified formulas are given purely in terms of truth with no appeal to domains whatsoever (and hence its name*truth-value semantics*).**Game-theoretical semantics**has made a resurgence lately mainly due to Jaakko Hintikka for logics of (finite) partially ordered quantification which were originally investigated by Leon Henkin, who studied Henkin quantifiers.**Probabilistic semantics**originated from H. Field and has been shown equivalent to and a natural generalization of truth-value semantics. Like truth-value semantics, it is also non-referential in nature.

- Jaakko Hintikka (2007),
*Socratic Epistemology: Explorations of Knowledge-Seeking by Questioning*, Cambridge: Cambridge University Press. - Ilkka Niiniluoto (1999),
*Critical Scientific Realism*, Oxford: Oxford University Press.

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