|Decidability: a question, for example, whether a property applies to an object or not, is decidable if a result can be achieved within a finite time. For this decision process, an algorithm is chosen as a basis. See also halting problem, algorithms, procedures, decision theory.|
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|P. Lorenzen Ein dialogisches Konstruktivitätskriterium (1959) in Karel Berka/L. Kreiser Logik Texte Berlin, 1983
Berka I 267
Decision problem/recursion/recursiveness/dialogical logic/Lorenzen: if R(x, y) is a decision-definite statement form, (Ex) R(x,y) no longer needs to be decision-definite.
Nevertheless, on the other hand, the assertion of such statements as
(1) (Ex) R(x,n)
does not need to trigger a senseless dispute!
It is obvious, then, to agree that the person who claims (1) is also obliged to give a number m, so that (2) R (m, n) is true. If he cannot do this, he has "lost" his claim.
Constructive Philosophy Cambridge 1987
K. Berka/L. Kreiser
Logik Texte Berlin 1983