Philosophy Lexicon of Arguments

Truth, philosophy: a property of sentences, not a property of utterances because utterances are events. See also truth conditions, truth definition, truth functions, truth predicate, truth table, truth theory, truth value, correspondence theory, coherence theory.

Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.

Author Item Excerpt Meta data

Books on Amazon
P. Lorenzen Ein dialogisches Konstruktivitätskriterium (1959) in Karel Berka/L. Kreiser Logik Texte Berlin, 1983

Berka I 270
Truth/Dialogical Logic/Lorenzen: with the infinite inductive definitions, one can transform, e.g. the semantic concept of truth into a dialogically definite concept.
There are two sets, the
set T of the true formulas and the
set F of the wrong formulas.
I 271
If the formulas with the logical particles are constructed from decision-definite prime formulas, then T (true) and F (false) are defined infinitely inductively as follows:

A e T u B e T > A u B e T

A e F > A u B e F

B e F > A u B e F

(correcpondingly for v)

A e F > i A e T

A e T > i A e F

(n)A(n) e T > (x)A(x) e T

A(n) e F > (x)A(x) e F

(correspondingly for (Ex)).
Foundation/Lorenzen: for this definition one does not need ordinal numbers as step numbers, because the definition scheme is "sound". That is, one gets after a finite number of steps to a prime formula.

Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution.

Lorn I
P. Lorenzen
Constructive Philosophy Cambridge 1987

Brk I
K. Berka/L. Kreiser
Logik Texte Berlin 1983

> Counter arguments against Lorenzen
> Counter arguments in relation to Truth

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Ed. Martin Schulz, access date 2017-07-21