I can now rejoice even in the falsification of a cherished theory, because even this is a scientific success. - John Eccles

Induction was shown to be untenable as a scientific method by Popper in The Logic of Scientific Discovery (1959). Instead, advances in scientific understanding come ideally from hypothetico-deductivism: firstly, development of a hypothesis in relation to a problem situation, and secondly, its testing in relation to all relevant knowledge and furthermore by its great explanatory power.

In order that a "self" may exist there must be some continuity of mental experiences and, particularly, continuity bridging gaps of unconsciousness. For example, the continuity of our "self" is resumed after sleep, anaesthesia, and the temporary amnesias of concussion and convulsions.

I believe that there is a fundamental mystery in my existence, transcending any biological account of the development of my body (including my brain) with its genetic inheritance and its evolutionary origin. … I cannot believe that this wonderful gift of a conscious existence has no further future, no possibility of another existence under some other unimaginable conditions.