Certain characteristics of the subject are clear. To begin with, we do not in this subject deal with particular things or particular properties: we deal formally with what can be said about any thing or any property. We are prepared to say that one and one are two, but not that Socrates and Plato are two.
Interpretation
The quote emphasizes the distinction between abstract concepts and specific entities.
In this quote, Bertrand Russell highlights the difference between the formal properties we can attribute to abstract concepts and the particular characteristics of individual entities. He is pointing out that while we can make universal statements about quantities, such as one and one being two, we cannot define specific individuals like Socrates and Plato in the same abstract manner. This underscores the importance of understanding both the general and the specific in philosophical discussions, as well as in our perception of reality.
In practice
In a philosophy class discussing the nature of knowledge, this quote can illustrate the difference between abstract principles and specific examples.
St. Paul introduced an entirely novel view of marriage, that it existed primarily to prevent the sin of fornication. It is just as if one were to maintain that the sole reason for baking bread is to prevent people from stealing cake.
Freedom comes only to those who no longer ask of life that it shall yield them any of those personal goods that are subject to the mutations of time.
Of these austerer virtues the love of truth is the chief, and in mathematics, more than elsewhere, the love of truth may find encouragement for waning faith. Every great study is not only an end in itself, but also a means of creating and sustaining a lofty habit of mind; and this purpose should be kept always in view throughout the teaching and learning of mathematics.
At all times, except when a monarch could enforce his will, war has been facilitated by the fact that vigorous males, confident of victory, enjoyed it, while their females admired them for their prowess.
Moreover, the attitude that one ought to believe such and such a proposition, independently of the question whether there is evidence in its favor, is an attitude which produces hostility to evidence and causes us to close our minds to every fact that does not suit our prejudices.
Extreme hopes are born from extreme misery.
I only have 'yes' men around me. Who needs 'no' men?
That anyone who possesses power has a tendency to abuse it is an eternal truth. They tend to go as far as the barriers will allow.
Society is commonly too cheap. We meet at very short intervals, not having had time to acquire any new value for each other. We meet at meals three times a day, and give each other a new taste of that old musty cheese that we are.
Satan can make men dance upon the brink of hell as though they were on the verge of heaven.
The little word is has its tragedies: it marries and identifies different things with the greatest innocence; and yet no two are ever identical, and if therein lies the charm of wedding them and calling them one, therein too lies the danger.
All religions try to benefit people, with the same basic message of the need for love and compassion, for justice and honesty, for contentment.
Subscribe for the occasional hand-picked quote. No noise.