The author correctly rejects the rampant (and false) Platonism in modern mathematics but (implicitly?) accepts the Kantian version of the same error via the Ana

The author correctly rejects the rampant (and false) Platonism in modern mathematics but (implicitly?) accepts the Kantian version of the same error via the Analytic/Synthetic dichotomy. This is as far as he'll get unless he defines his own theory of concepts.