Abstract
It is a great honour for me to have been invited to give this third Pfizer Colloquium, and I am very grateful for the extremely kind words of welcome that I have been allowed to listen to. I am happy to have had this opportunity to come back to the University of Connecticut, from which I have such pleasant memories. I now propose to give some personal recollections from the development of two important scientific fields: the purely mathematical theory of probability and the methodology of statistical inference. Although intimately and necessarily related, these fields have sometimes developed more or less independently, sometimes in close connection. Examples of both these types of work can be found in course of the intense development that took place during the 20 years between the two world wars, which led to a complete transformation of both these scientific fields.
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