Silver Dialogues Essay
Anyone who has thought about the nature of mathematics has probably been puzzled over the status of its objects. Are the objects with which mathematics deals - numbers, sets, functions and the like - created or are they discovered? Should we think of them in the manner of the stars and the planets, whose character and existence is entirely independent of our investigations and activities? Or should we think of them in the manner of the objects of fiction, whose existence and character is entirely dependent upon what their authors make of them? Read More...