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In 'Impossibility', John D. Barrow - one of our most elegant and accomplished science writers - argues convincingly that there are limits to human discovery, that there are things that are ultimately unknowable, undoable, or unreachable. Barrow first examines the limits of the human mind: our brain evolved to meet the demands of our immediate environment, and much that lies outside this small circle may also lie outside our understanding. He investigates practical impossibilities, such as those imposed by complexity, uncomputability, or the finiteness of time, space, and resources. Is the universe finite or infinite? Can information be transmitted faster than the speed of light? The book also examines deeper theoretical restrictions on our ability to know, including Gödel's theorem, which proved that there were things that could not be proved.

Science --- Limit (Logic) --- Gödel's theorem. --- Gèodel's theorem --- Sciences - General --- Physical Sciences & Mathematics --- Normal science --- Philosophy of science --- Logic --- Gödel's incompleteness theorem --- Undecidable theories --- Arithmetic --- Completeness theorem --- Incompleteness theorems --- Logic, Symbolic and mathematical --- Number theory --- Decidability (Mathematical logic) --- Philosophy. --- Philosophy --- Foundations --- Go ̈del's theorem. --- Limit (Logic). --- Science. --- Science - Philosophy --- Godel's theorem --- Gödel's theorem.