Non-invariants may be used for socially-relevant perceptual decisions

My critical review [1] elicited a welcome diversity of perspectives across the 12 commentaries now published [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13]. In total 28 co-authors were inspired to contribute. In addition to engaging with the critical perspectives of my review, several of the commentaries take the debates and discussions into insightful and potentially important supplementary domains that I highlight in what follows. I have extracted a number of major themes in which I detected overlaps in the foci of different commentaries, and I use these to organise my replies. I hope that our shared efforts will constitute some degree of ‘cultural evolution’ in our science, as suggested in the title of this reply to commentaries.