In March 1958, Broad along with fellow philosophers A. J. Ayer and Bertrand Russell, writer J.B. Priestley and 27 others sent a letter to The Times which urged the acceptance of the Wolfenden Report's recommendation that homosexual acts should "no longer be a criminal offence.

"[8] Broad argued that if research could demonstrate that psychic events occur, this would challenge philosophical theories of "basic limiting principles" in at least five ways:[9] In his 1949 paper, Broad examined the implications of research by British parapsychologist Samuel Soal, who claimed to have discovered a subject, Basil Shackleton, capable of guessing the identity of Zener cards with odds of 'billions to one'.

[9] However, the validity of these findings was later questioned by Betty Markwick, following testimony from a colleague suggesting that Soal had manipulated both data and experiment methods.

He described critical philosophy as analysing "unanalysed concepts in daily life and in science" and then "expos[ing] them to every objection that we can think of".

While speculative philosophy's role is to "take over all aspects of human experience, to reflect upon them, and to try to think out a view of Reality as a whole which shall do justice to all of them".

The extraordinary success of physics and chemistry within their own sphere tempts men to think that the world is simply a physico-chemical system".