Factually false. The Openness personality trait, and creativity in general, is linked with mental issues like schizophrenia (see also Spent 2011), while the only investigation I currently am aware of for mathematicians does not find any noticeable increase for 48 prominent modern logicians (including Godel): http://blog.computationalcomplexity.org/2011/07/disproofing-myth-that-many-early.html
(I will note I am not surprised in the least that the quote comes from Chesterton.)
Is 48 a statistically significant sample? Seriously, I do not take this quotation as factually correct. I am intrigued by the idea of logic set against imagination as I don't view them as necessarily opposing attributes. I am also amused at the idea of dividing the world into (a) poets and other creative artists and (b) chess players, mathematicians and cashiers. When I am amused I like to share - and I thought that was the point of this particular thread.
Here's the new thread for posting quotes, with the usual rules: