Has science anything to say for or against the possibility or the probability of a person's mind in some sense surviving the death of his body? I will begin by remarking that, in my opinion, it is almost a sine qua non of any religious view of the world that some men at least should survive bodily death. I take it that one minimal demand of religion is that what we count to be the highest spiritual values shall not be merely ephemeral by-products of complicated material conditions which are fulfilled only occasionally in odd holes and corners of the universe, and are unstable and transitory when fulfilled. Another minimal demand is that there shall be at least rough justice, e.g. that evil deeds shall in the long run bring evil consequences on the doer of them, and not wholly or mainly on others. I do not see how either of these demands could be even approximately met if no man survives the death of his body. For, if this be so, not only does all the value which depends on the character and dispositions and the personal relationships of an individual vanish at his death; but also human society must eventually come to an end, and with it must perish all the values stored up in social institutions, works of art, and scientific treatises. Moreover, it is a commonplace that wicked men often die before they have brought on themselves either bodily suffering or remorse, or the disintegration of their characters or intellects, whilst wise and good men are often stricken down at the height of their powers, or survive into an old age of disease and dotage. Therefore, if science does make human survival impossible or very improbable, it does, in my opinion, deliver a fatal blow to all religion.
Now, with the doubtful exception of psychical research, none of the sciences tells us anything which lends the least probability to human survival. On the contrary, all that biology teaches of the detailed affinity of ourselves with the other animals, and all that physiology and anatomy tell us of the intimate connection between lesions of the brain and nervous system and aberrations or obliterations of consciousness, produce an overwhelming impression of the one-sided dependence of mental life on certain very specialized and delicate material structures and processes.
(C. D. Broad, "The Present Relations of Science and Religion," Philosophy 14 [April 1939]: 131-54, at 145-6 [italics in original])