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The Principle of Unattainability rules out the attainment of absolute zerotemperature by any finite physical means, no matter how idealised they couldbe. Nevertheless, we clarify that the Third Law of Thermodynamics, as definedby Nernst's heat theorem statement, is distinct from the Principle ofUnattainability in the sense that the Third Law is mathematically equivalentonly to the unattainability of absolute zero temperature by {\em quasi-staticadiabatic} processes. This, on the one hand, leaves open the possibility ofattainability of absolute zero by non-adiabatic means, without violating theThird Law. On the other hand, we point out some apparent incompatibilitybetween the Postulate of Projective Measurement in quantum mechanics and thePrinciple of Unattainability in that projective measurements of energy couldresult in zero temperature.

Principle of Unattainability of Absolute Zero Temperature, the Third Law of Thermodynamics, and Projective Quantum Measurements