SEVERAL ESSAYS WRITTEN BY RUSSELL IN THE 1940s
Bertrand Arthur William Russell (1872-1970) was an influential British philosopher, logician, mathematician, and political activist. In 1950, he was awarded the Nobel Prize in Literature, in recognition of his many books.
The Publisher’s Preface states, “The essays in this little volume, published here for the first time in book form, were written by Bertrand Russell during the second World War. In those years the author was teaching philosophy at American universities, exercising a growing influence on America’s student population. The essays assembled here are fundamentally concerned with the ‘art of reckoning’ in the fields of mathematics, logic and philosophy.”
He says in the first essay, “The would-be philosopher will ask himself what kinds of knowledge seem least open to question, and why. He may… reasonably assume that the most certain kinds of knowledge are those about which there is least dispute. He will soon find that these are not the kinds of knowledge, or supposed knowledge, that are asserted with the most vehemence. Everyone is agreed about the multiplication table, but no one goes about proclaiming it as Sacred Truth. If anyone were to deny its truth, he would not be burned at the stake or imprisoned as a fifth columnist. A sensible man, if he fell among mathematical heretics, and were asked to recant his belief in the multiplication table, would do so, conscious that his recantation could do the multiplication table no harm. These are the characteristics of a belief about which there is no reasonable doubt.” (Pg. 6-7)
He continues, “The Jesuit Acosta, who lived in South America, was puzzled by the animals only to be found there, though all must have come from Mount Ararat. This was especially puzzling in the case of the sloth, which is so dilatory in its motions that it could hardly have reached South America in the time since the flood. Sailors might, of course, have brought the various queer beasts from the old world, but the worthy Father thinks this unlikely, especially in the case of the filthy Acacias, of which the smell is unendurable.” (Pg. 16)
He suggests, “In the early stages, all teaching of mathematics should start from practical problems… When I was young… the problems were such as no one could possibly WISH to solve. For instance: A, B, and C are travelling from X to Y. A on foot, B on a horse, and C on a bicycle. A is always going to sleep at odd moments, B’s horse goes lame, and C has a puncture… Even the most ardent pupil is put off by this sort of thing.” (Pg. 79)
In the final essay, he says, “It this appears that we do not really know what we mean by ordinary every-day words such as ‘cat’ and ‘dog’…. Two dogs and two dogs are certainly four dogs, but cases may arise in which you are doubtful whether two of them are dogs. ‘Well, at any rate there are four animals,’ you may say. But there are microorganisms concerning which it is doubtful whether they are animals or plants… there are things of which it is doubtful whether they are living organisms or not. ‘Two entities and two entities are four entities.’ When you have told me what you mean by ‘entity,’ we will resume the argument.” (Pg. 113-114)
These essays contain Russell’s characteristic wit and intellectual acumen.