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You're denying that changes in the situation result in changes to the odds. I mean look: since he eliminated one door, at LEAST you'd have to concede that your odds improved from 1 in 3 to 1 in 2, right? Since the door with the goat is now out of play, there are really two doors to pick between?
The timing of the scenario makes that not an accurate description of the odds, though, because the switch gets done AFTER your selection.
When you picked your door, your odds of that door winning are 1/3 and the odds of EITHER of the other two doors being the winner is 2/3. When the goat door is eliminated, that doesn't change--either the closed door you didn't pick, or the door with the goat is the winner, 2/3 of the time. Since we know the goat door isn't the winner, that means the closed door you're being offered carries that whole 2/3.
This isn't a matter for opinion. If you play it out, you'll see that switching, counter-intuitive though it seems, is the winner 2/3 of the time.
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