If he wasn't severely outnumbered he would never have applied the cowboy tactics that he did.
Ancient writers may exaggerate, but they didn't just make stuff up (most at least).
Either Darius' army was close to the reported numbers, or Alexanders army was smaller.
I'm not willing to discard the legacy of the greatest general ever just because modern notions claim 'it couldn't be done'. We know next to nothing about the inner workings of the Persian Empire.
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