So the America I loved still exists, if not in the White House or the Supreme Court or the Senate or the House of Representatives or the media. The America I love still exists at the front desks of our public libraries.
Kurt VonnegutRead
This attitude [the abstract method in mathematics] can be encapsulated in the following slogan: a mathematical object is what it does.
Interpretation
This quote emphasizes the functional nature of mathematical objects, suggesting that their identity comes from their utility and actions.
Timothy Gowers highlights a perspective in mathematics where the definition of a mathematical object is rooted in its function or role in operations, rather than merely its physical or abstract representation. This viewpoint encourages a pragmatic approach to understanding mathematics, focusing on what these objects can accomplish in various contexts rather than solely their theoretical properties.
In practice
A lecturer may use this quote to illustrate the importance of understanding mathematical functions in a classroom.
So the America I loved still exists, if not in the White House or the Supreme Court or the Senate or the House of Representatives or the media. The America I love still exists at the front desks of our public libraries.
So you cannot, as a Christian, walk away from Africa.
Maybe we ought to consider a Golden Rule in foreign policy: Don't do to other nations what we don't want happening to us. We endlessly bomb these countries and then we wonder why they get upset with us?
The deceitfulness of the heart of man appears in no one thing so much as this of spiritual pride and self-righteousness. The subtlety of Satan appears in its height, in his managing persons with respect to this sin. And perhaps one reason may be that here he has most experience; he knows the way of its coming in; he is acquainted with the secret springs of it: it was his own sin. Experience gives vast advantage in leading souls, either in good or evil.
But the present world is also designed for something which has not yet happened. It is like a violin waiting to be played: beautiful to look at, graceful to hold - and yet if you'd never heard one in the hands of a musician, you wouldn't believe the new dimensions of beauty yet to be revealed.
We do not merely perceive objects and hold thoughts in our minds: all our perceptions and thought processes are felt. All have a distinctive component that announces an unequivocal link between images and the existence of life in our organism.
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