Some of the history of the proposed liquid‐liquid transitions Tll and T′ll that have been reported to exist above the glass transition temperature Tg and the role played by the torsional braid analyzer are outlined. Confusion has been created by the failure to clearly distinguish such kinetic phenomena as viscoelastic and dielectric loss processes from thermodynamic transitions. It is shown quantitatively how the log decrement of an oscillating system can exhibit one more peak than is found in the loss tangent–temperature curve of a viscoelastic liquid.