Who cares about the philosophical implications of the theorems? Philosophers! The linked article is about how the theorems destroyed Whitehead et al's aspirations to find One Algebra To Rule Them All.
The literature on Gödel and philosophy is gargantuan, for some reason. Wasn't it summed up well by Wittgenstein? Paraphrasing: "Who cares about your contradictions?" Well said. Also not the topic Wolchover's article.
Math people can make the same move: "Who cares about your philosophizing?"
The literature on Gödel and philosophy is gargantuan, for some reason. Wasn't it summed up well by Wittgenstein? Paraphrasing: "Who cares about your contradictions?" Well said. Also not the topic Wolchover's article.
Math people can make the same move: "Who cares about your philosophizing?"