"When does a man who's losing his hair officially become bald?
What hour, or minute, or second does one become middle-aged?
When does the number of grains of sand become a heap?
These questions are all linked to a set of paradoxes, known as Sorites paradoxes, from the Greek word soros, meaning heap.
They occur because many concepts, like heap, are vague. Timothy Williams, a professor at Oxford University, and a leading expert on the subject, discusses his book Vagueness...
listen to interview