LAr

Analogous notions of Tarskian logical consequence and logical truth can be defined for other languages using the same method we have followed with LAr, just making the obvious changes.

Alfred Tarski Gómez-Torrente, Mario 2006

But they will always be either true or false with respect to interpretations of LAr; or, as Tarski says, they will be satisfied or not by interpretations of LAr.

Alfred Tarski Gómez-Torrente, Mario 2006

Consider a language LAr+ which is like LAr but has besides another individual constant, "2", and another dyadic predicate, "Pd", whose desired interpretations are the number 2 and the relation of being the immediate predecessor of, respectively.

Alfred Tarski Gómez-Torrente, Mario 2006

In the 1936 paper Tarski seems to be thinking paradigmatically of languages in which (as in LAr) there is a predicate ( "N" in the case of LAr) that applies exactly to the individuals in the domain of the intended interpretation of the language.

Alfred Tarski Gómez-Torrente, Mario 2006

Say that an interpretation of LAr satisfies the formula function X with respect to a sequence f

Alfred Tarski Gómez-Torrente, Mario 2006

In our example, an interpretation of LAr is a sequence that assigns appropriate objects to the non-logical constants of LAr: a set of individuals A to "N", an individual a to "0" and a binary relation among individuals R to "M".

Alfred Tarski Gómez-Torrente, Mario 2006

The sentential functions of sentences of LAr will not in general be sentences, and so will not always be either true or false by themselves.

Alfred Tarski Gómez-Torrente, Mario 2006

R&D includes readout systems and electronics, safety, HV systems, LAr purification.

A Quantum Diaries Survivor 2009

(that assigns values from A to the original variables of LAr) if and only if:

Alfred Tarski Gómez-Torrente, Mario 2006

(c) interpretation of LAr: The range of the variables is the set of all natural numbers.

Alfred Tarski Gómez-Torrente, Mario 2006