VIDEOS 1 TO 50

What Makes a Sentence True or False? Predicate Logic

Published: 2015/10/07

Channel: The Ling Space

SEM121 - Propositions

Published: 2013/05/08

Channel: The Virtual Linguistics Campus

What is TRUTH CONDITION? What does TRUTH CONDITION mean? TRUTH CONDITION meaning & explanation

Published: 2016/11/15

Channel: The Audiopedia

Truth Table Tutorial - Discrete Mathematics Logic

Published: 2014/03/26

Channel: Emily Jane

Value Semantics: It aint about the syntax!

Published: 2014/09/24

Channel: BoostCon

How Do We Capture the Truth of Beliefs? Type Theory

Published: 2016/12/15

Channel: The Ling Space

Linguistic Micro-Lectures: Propositions

Published: 2014/09/08

Channel: The Virtual Linguistics Campus

What Is Meant By A Theory Of Semantics?

Published: 2017/09/09

Channel: Funny Question

Syntax vs Semantics (Philosophical Distinctions)

Published: 2015/09/20

Channel: Carneades.org

Jacque Fresco - Looking Backward, Truth, Learning, Semantics

Published: 2010/10/07

Channel: The Venus Project

What is SEMANTIC EXTERNALISM? What does SEMANTIC EXTERNALISM mean? SEMANTIC EXTERNALISM meaning

Published: 2016/10/10

Channel: The Audiopedia

Truth condition

Published: 2016/09/19

Channel: Wikivoicemedia

Can We Define "Must"? The Semantics of Modality

Published: 2017/06/29

Channel: The Ling Space

Truth trees for propositional logic 1

Published: 2013/01/19

Channel: Kane B

Propositional Logic: Semantics, Part 2

Published: 2015/06/03

Channel: David Agler

Ernest Sosa on Epistemology - The Nature & Value of Knowledge

Published: 2013/04/16

Channel: Philosophical Overdose

M2 Lec 2 - Propositional Logic: Syntax and Truth Values

Published: 2016/01/12

Channel: NOC16 Jan-May CS02

What is PRINCIPLE OF BIVALENCE? What does PRINCIPLE OF BIVALENCE mean?

Published: 2017/08/30

Channel: The Audiopedia

What Is The Definition Of Propositional?

Published: 2017/07/21

Channel: top sparky

Truth Table

Published: 2011/05/31

Channel: easymathk12

6.2 Truth Functions Part 1

Published: 2016/05/02

Channel: Melvin Sanchez

What is Vacuous Truth?

Published: 2015/10/25

Channel: Carneades.org

Hilary Putnam on Meaning & Externalism

Published: 2016/03/25

Channel: Philosophical Overdose

1.3 Formal Definition of Truth Tables

Published: 2016/05/13

Channel: Lassonde Student

Part 2: Symbolic Logic (WFFs & calculating truth functional statements)

Published: 2013/04/07

Channel: teachphilosophy

Simple Example Involving Truth Values

Published: 2012/11/05

Channel: lbowen11235

What Is A Proposition Examples?

Published: 2017/07/21

Channel: top sparky

Propositional Logic - Propositions, Assertions & Truth Values

Published: 2012/11/04

Channel: StudyYaar.com

NLP Values Elicitation: How To Discover Your Highest Values

Published: 2016/06/05

Channel: NLP Gym

What is PROOF-THEORETIC SEMANTICS? What does PROOF-THEORETIC SEMANTICS mean

Published: 2017/04/29

Channel: The Audiopedia

How Can One Greek Letter Help Us Understand Language? Lambda Calculus

Published: 2016/05/04

Channel: The Ling Space

4.1 Truth Tables for Entailment, Equivalence, Etc.

Published: 2012/11/10

Channel: jellologic

How Can Sentences Work Like Adjectives? The Syntax and Semantics of Relative Clauses

Published: 2017/06/01

Channel: The Ling Space

Presuppositions and two kinds of negation, Marie Duzi

Published: 2017/08/07

Channel: Copernicus Center for Interdisciplinary Studies

What is TRUTH-VALUE LINK? What does TRUTH-VALUE LINK mean? TRUTH-VALUE LINK meaning

Published: 2016/11/17

Channel: The Audiopedia

1.2 Many Valued Boolean Logic and Oppositional Semantics

Published: 2014/11/24

Channel: Semantic Qube

Introduction to Logic

Published: 2011/12/23

Channel: ProfessorSerna

What is PRINCIPLE OF COMPOSITIONALITY? What does PRINCIPLE OF COMPOSITIONALITY mean?

Published: 2017/04/27

Channel: The Audiopedia

What Does Entailment Mean In Logic?

Published: 2017/07/03

Channel: sparky marketips

Primary Value Principle

Published: 2015/12/10

Channel: Semantic Qube

Pragmatism, Beliefs & Propositions (Chris Hookway)

Published: 2013/07/11

Channel: Philosophical Overdose

Semantics - The Rise and Fall of Muammar al Gaddafi

Published: 2013/10/21

Channel: Critical Productions

What Is The Referential Theory Of Meaning?

Published: 2017/09/09

Channel: Funny Question

FREGE RELOADED (1 to 5) Frege and truth-values as references

Published: 2016/12/15

Channel: Claudio Costa

Linguistic Micro-Lectures: Conjunction (Logic)

Published: 2014/09/08

Channel: The Virtual Linguistics Campus

What Is A Proposition In Philosophy?

Published: 2017/07/21

Channel: top sparky

THE HUGHES MATRIX-SEMANTICS'S, KEY TO DECEPTION.

Published: 2017/05/25

Channel: Flat Earth Nation-Dei Aurea Praeterita

Valuation Meaning

Published: 2015/04/18

Channel: SDictionary

A Pragmatist Perspective on Wittgenstein

Published: 2013/03/17

Channel: Philosophical Overdose

Linguistic Micro-Lectures: Implication (Logic)

Published: 2014/09/10

Channel: The Virtual Linguistics Campus

In formal semantics, **truth-value semantics** is an alternative to Tarskian semantics. It has been primarily championed by Ruth Barcan Marcus,^{[1]} H. Leblanc, and M. Dunn and N. Belnap.^{[2]} It is also called the *substitution interpretation* (of the quantifiers) or substitutional quantification.

The idea of these semantics is that universal (existential) quantifier may be read as a conjunction (disjunction) of formulas in which constants replace the variables in the scope of the quantifier. E.g. ∀xPx may be read (Pa & Pb & Pc &...) where a,b,c are individual constants replacing all occurrences of x in Px.

The main difference between truth-value semantics and the standard semantics for predicate logic is that there are no domains for truth-value semantics. Only the truth clauses for atomic and for quantificational formulas differ from those of the standard semantics. Whereas in standard semantics atomic formulas like Pb or Rca are true if and only if (the referent of) b is a member of the extension of the predicate P, respectively, if and only if the pair (c,a) is a member of the extension of R, in truth-value semantics the truth-values of atomic formulas are basic. A universal (existential) formula is true if and only if all (some) substitution instances of it are true. Compare this with the standard semantics, which says that a universal (existential) formula is true if and only if for all (some) members of the domain, the formula holds for all (some) of them; e.g. ∀xA is true (under an interpretation) if and only if for all k in the domain D, A(k/x) is true (where A(k/x) is the result of substituting k for all occurrences of x in A). (Here we are assuming that constants are names for themselves—i.e. they are also members of the domain.)

Truth-value semantics is not without its problems. First, the strong completeness theorem and compactness fail. To see this consider the set {F(1), F(2),...}. Clearly the formula ∀xF(x) is a logical consequence of the set, but it is not a consequence of any finite subset of it (and hence it is not deducible from it). It follows immediately that both compactness and the strong completeness theorem fail for truth-value semantics. This is rectified by a modified definition of logical consequence as given in Dunn and Belnap 1968.^{[2]}

Another problem occurs in free logic. Consider a language with one individual constant c that is nondesignating and a predicate F standing for 'does not exist'. Then ∃xFx is false even though a substitution instance (in fact **every** such instance under this interpretation) of it is true. To solve this problem we simply add the proviso that an existentially quantified statement is true under an interpretation for at least one substitution instance in which the constant designates something that exists.

- Quasi-quotation
- Game semantics
- Kripke semantics
- Model-theoretic semantics
- Proof-theoretic semantics
- Truth-conditional semantics

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