# completely-ineffable

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completely-ineffable2 karma

Hi Prof. Grayling!

What is your opinion on groups like Atheism+, formed in response to a perception of sexism and other bigotry within the secular community. Do you think they are correct that such problems exist in the secular community? Are they going about addressing these problems in a productive way? If not, how should such issues be addressed?

completely-ineffable44 karma

Wittgenstein, in his 1939

Lectures on the Foundations of Mathematicsis critical of mathematics done to produce a "pleasant feeling of paradox":Now it's quite certainly false that Cantor's work on 'multiple infinities' was done with this sort of motive. His work has application to real, serious mathematics. (Indeed, in his 1874 paper where he introduced his famous theorem that the reals and the integers are not equipotent, he used this fact to prove a new proof of Liouville's theorem that every interval contains transcendental numbers.) However, what is true is that his work is often presented as having as its main interest this charm of a pleasant feeling of paradox. The incompleteness theorems are often subjected to a similar presentation.

In the short description of the Paradox and Infinity course on the edX page, it seems like it might be presenting these results in this way.

My question to Prof. Rayo is:Do you think that we should shy away from presenting work on the higher infinite and on incompleteness as a sort of mind-boggling thing, invoking a 'pleasant feeling of paradox'? If so, how do you aim to avoid students in the edX course getting that impression about these results?View HistoryShare Link