Unlike mathematics, in which the notion of truth might be abstract, inphysics, the emphasis must be placed on algorithmic procedures for obtainingnumerical results subject to the experimental verifiability. For, a physicalscience is exactly that: algorithmic procedures (built on a certainmathematical formalism) for obtaining verifiable conclusions from a set ofbasic hypotheses. By admitting non-constructivist statements a physical theoryloses its concrete applicability and thus verifiability of its predictions.Accordingly, the requirement of constructivism must be indispensable to anyphysical theory. Nevertheless, in at least some physical theories, andespecially in quantum mechanics, one can find examples of non-constructivestatements. The present paper demonstrates a couple of such examples dealingwith macroscopic quantum states (i.e., with the applicability of the standardquantum formalism to macroscopic systems). As it is shown, in these examplesthe proofs of the existence of macroscopic quantum states are based on logicalprinciples allowing one to decide the truth of predicates over an infinitenumber of things.
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