Title: On a Surprising Oversight by John S. Bell in the Proof of his Famous Theorem,
Abstract: Bell inequalities are usually derived by assuming locality and realism, and
therefore experimental violations of Bell inequalities are usually taken to
imply violations of either locality or realism, or both. But, after reviewing
an oversight by Bell, here we derive the Bell-CHSH inequality by assuming only
that Bob can measure along the directions b and b' simultaneously while Alice
measures along either a or a', and likewise Alice can measure along the
directions a and a' simultaneously while Bob measures along either b or b',
without assuming locality. The observed violations of the Bell-CHSH inequality
therefore simply verify the manifest impossibility of measuring along the
directions b and b' (or along the directions a and a') simultaneously, in any
realizable EPR-Bohm type experiment.