Theron Pummer has written about this precise thing in his paper on Spectrum Arguments, where he touches on this argument for “transitivity=>comparability” (here notably used as an argument against transitivity rather than an argument for comparability) and its relation to ‘Sorites arguments’ such as the one about sand heaps.
Personally I think the spectrum arguments are fairly convincing for making me believe in comparability, but I think there’s a wide range of possible positions here and it’s not entirely obvious which are actually inconsistent. Pummer even seemed to think rejecting transitivity and comparability could be a plausible position and that the math could work out in nice ways still.
Theron Pummer has written about this precise thing in his paper on Spectrum Arguments, where he touches on this argument for “transitivity=>comparability” (here notably used as an argument against transitivity rather than an argument for comparability) and its relation to ‘Sorites arguments’ such as the one about sand heaps.
Personally I think the spectrum arguments are fairly convincing for making me believe in comparability, but I think there’s a wide range of possible positions here and it’s not entirely obvious which are actually inconsistent. Pummer even seemed to think rejecting transitivity and comparability could be a plausible position and that the math could work out in nice ways still.