If a equals a (A=A) and a equals b (A=B), how come A=A ≠ A=B. What informs A through B which A doesn't inform itself?

Picked from: Conversations with History - John Perry on YouTube. (Link button does not work)

http://www.youtube.com/watch?v=61-Txd9dFv0&feature=relmfu

Tags: conundrum

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"The field of Archaeoastronomy and Stonehenge disagrees:"

Not really. It was astrology. Just as science arose out of philosophy, so astronomy arose out of astrology. I don't know what stonehenge was used for, but I'm pretty sure if it is a lunar calendar, or a solstice calculator or some such, the druids (or whoever it was who put it there), did not do it for a love of science, they wanted to figure out what their gods were telling them

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