If you keep removing single grains of sand from a heap when is it no longer aheap? From discussions of the heap paradox in classical Greece to modernformal appr... » 

If you keep removing single grains of sand from a heap when is it no longer aheap? From discussions of the heap paradox in classical Greece to modernformal approaches like fuzzy logic Timothy Williamson traces the history ofthe problem of vagueness. He argues that standard logic and formal semanticsapply even to vague languages and defends the controversial realist view thatvagueness is a form of ignorance there really is a grain of sand whoseremoval turns a heap into a nonheap but we can never know exactly which oneit is. «