# Truth-value semantics

**substitutional quantification**

In formal semantics, truth-value semantics is an alternative to Tarskian semantics.wikipedia

19 Related Articles

### Semantics of logic

**formal semanticssemanticslogical semantics**

In formal semantics, truth-value semantics is an alternative to Tarskian semantics.

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).

### Quasi-quotation

**Oxford bracketsquasiquote**

Quasi-quotation

For example, one can use quasi-quotation to illustrate an instance of substitutional quantification, like the following:

### Semantic theory of truth

**Convention Tsemantic theoryTarski's theory of truth**

In formal semantics, truth-value semantics is an alternative to Tarskian semantics.

### Ruth Barcan Marcus

**tag theory of namesMarcus**

It has been primarily championed by Ruth Barcan Marcus, H. Leblanc, and M. Dunn and N. Belnap.

### Universal quantification

**universal quantifieruniversally quantifieduniversal**

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.

### Quantifier (logic)

**quantifierquantifiersquantification**

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.

### First-order logic

**predicate logicfirst-orderpredicate calculus**

The main difference between truth-value semantics and the standard semantics for predicate logic is that there are no domains for truth-value semantics.

### Atomic formula

**atomatomicatomic expressions**

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.

### Completeness (logic)

**completecompletenessincompleteness**

First, the strong completeness theorem and compactness fail.

### Compactness theorem

**compactnesscompact(countable) compactness property**

First, the strong completeness theorem and compactness fail.

### Logical consequence

**entailsentailmentfollows from**

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).

### Free logic

**inclusive logic**

Another problem occurs in free logic.

### Game semantics

**game semantics for first-order logicgame theoretic semanticsGame-theoretical semantics**

Game semantics

### Kripke semantics

**Kripke modelsrelational semanticsframe semantics**

Kripke semantics

### Proof-theoretic semantics

**Proof-theoretic**

Proof-theoretic semantics

### Truth-conditional semantics

**truthtruth conditioningtruth-conditional theory of meaning**

Truth-conditional semantics

### Index of philosophy articles (R–Z)

Substitutional quantification

### Substitution (logic)

**substitutionsubstitution instanceground instance**

Truth-value semantics

### Truth value

**truth-valuelogical valuetruth values**

Truth-value semantics