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Re this 32 or 64 bit mode selector, Am I reading it wrong?

"If your intel based Mac has a 32 bit processor the Snow leopard will run as a 32 bit-system.

The intel Core 2 Duo processors are 64-bit processors.

If your intel-based Mac has a 64-bit processor then Snow Leopard will run as a 64-bit system" (Verbatim)

My imac is 3 months old and according to the above, it should run as a 64-bit system.
Not that it will bother me if it doesn't, it's just that the above seems to be contradiction.

jaybass