The fact that all Mathematics is Symbolic Logic is one of the greatest discoveries of our age; and when this fact has been established, the remainder of the principles of mathematics consists of the analysis of Symbolic Logic itself.
Interpretation
Mathematics is fundamentally rooted in symbolic logic, highlighting its logical structure and principles.
In this quote, Bertrand Russell emphasizes the profound interconnection between mathematics and logic. He asserts that recognizing mathematics as an extension of symbolic logic is a pivotal achievement, suggesting that the essence of mathematical principles lies in their logical analysis and formulation, rather than in arbitrary rules or procedures.
In practice
This quote can be used in a mathematics lecture to inspire students to appreciate the underlying logic in math.
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.
In the original introduction to the word meme in the last chapter of 'The Selfish Gene,' I did actually use the metaphor of a 'virus.' So when anybody talks about something going viral on the Internet, that is exactly what a meme is, and it looks as though the word has been appropriated for a subset of that.
I cannot stress often enough that what science is all about is not proving things to be true but proving them to be false.
If what the science tells us about climate change is correct, then unabated it will result in catastrophic consequences for our world.
Hubble touches people. When you're looking that far out, you're giving people their place in the universe, it touches people. Science is often visual, so it doesn't need translation. It's like poetry, it touches you.
The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a physical law. They reveal the kinship between other facts, long known, but wrongly believed to be strangers to one another.
I have seen firsthand that agricultural science has enormous potential to increase the yields of small farmers and lift them out of hunger and poverty.
Subscribe for the occasional hand-picked quote. No noise.