As known, Russell symbolise the statement , "The present King of France is bald", with a definite description in first order logic,"∃x(Px & ∀y(Py → x = y)&Bx)".

Why not "∃x(Px & Bx)"?

Is it just because that the present King is unique? If so, can I symbolise the statement ,"one of the leaders is bald" with "∃x(Lx & Bx)"


Yes, it means the present king is unique.

∃x(Px & ∀y(Py → x = y)&Bx)

"There exists an x, such that x is a present king of France, and there are no present kings of France different from x, and x is bald."

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.