They explicitly disavow the classical philosophies of formalism, logicism, Platonism, intuitionism, and social constructivism. |
Platonism is the intellectual understanding of the ontological status of the good. |
But to other philosophers and mathematicians Platonism seems extravagant, for reasons that are at least partly epistemological. |
Some later commentators claim that by making this skeptical turn, Arcesilaus abandoned Platonism. |
Finsler develops his approach to the paradoxes, his attitude towards formalised theories and his defence of Platonism in mathematics. |
I find his insouciance about the difficulty of figuring out ethics disconcerting, though he's right that Nietzsche collapses into Platonism. |