 However, Shear and Fitelson (2018) also have some good news for fans of AGM and the Lockean thesis. Two quantities are in the golden ratio \(\phi\) if their ratio is the same as the ratio of their sum to the larger of the two quantities, i.e. for \(a&gt;b&gt;0\), if \(\frac{a+b}{a} = \frac{a}{b}\) then \(\frac{a}{b} = \phi\). The golden ratio is an irrational number approximately equal to \(1.618.\) Its inverse \(\phi^{-1}\) is approximately \(.618.\) Shear and Fitelson prove the following intriguing result. 