Visible crew/equipment: When Carrie tells Big that there's no-one she'd like to be except Aidan, two lighting screens get reflected on his glass.
Continuity mistake: When Aidan reaches to Carrie to help her get up, her arm is quite clean. Half a second later it's covered in mud.
Continuity mistake: The second time Carrie falls while trying to lift the log both parts of her buttocks get covered in mud. The next time she falls the right side has magically cleaned itself.
Continuity mistake: When Carrie is about to carry the log, Aidan's left arm is lowered, but a shot later it rests against the log.
Continuity mistake: During breakfast, after Charlotte says she's taking golf lessons Sam raises her right arm and puts it under her cheek. The arm alternates between lowered or raised for the rest of the scene depending on the shot.
Continuity mistake: During breakfast, when Carrie talks about Paris, Sam drinks her coffee raising her fingers. When the shot changes half a second later, the grip is totally different.
Continuity mistake: During breakfast, when Carrie says she's a hostage Miranda is drinking coffee, but a second later her mug is gone and she has a fork in his hand. Then shot changes and she is pinching food but, but a shot later her hands are still.
Continuity mistake: Charlotte holds the fertility exercises book with both hands in one shot, but just with one in the close-up.
Continuity mistake: When Steve says he's in stage 1 cancer his hands alternate between crossed and uncrossed between shots.
Continuity mistake: When Carrie and Aidan are in bed together, he hands her the second picture and she holds it with two hands. A shot later she is holding it with one. A couple seconds later she finally grabs it with both.
Continuity mistake: When Carrie leaves the bar, Shayna extends her arm towards the peanuts, but half a second later they're crossed.
Continuity mistake: When Miranda lies on the rug, the phone is next to the upper part of the rug. When the shot changes, it lies on the middle part, away from the rug.
Continuity mistake: When Sam runs towards the cab, the passers by are not continuous between shots.
Revealing mistake: When breakfast is served, Samantha mimics eating and chewing, but her fork is very obviously empty.
Continuity mistake: When Charlotte says she wants to quit her job, her hands are on the table. A shot later they are lowered. (00:02:45)
Continuity mistake: When the waitress brings Charlotte's breakfast, a shot later the waitress is magically gone, Charlotte's hand is on the mug and, last but not least, the blue napkin disappears.
Continuity mistake: When Miranda says "that's a big maybe" Sam is drinking coffee, but a shot later her arm is lowered. (00:02:12)
Continuity mistake: During breakfast, when Carrie says she "worked harder than her SATs" Sam's mug is close to Charlotte's bowl, but a shot later Sam is holding her mug, This swaps back and forth.
Continuity mistake: During breakfast, when Sam says "Honey, he's a keeper", lighting screens are reflected on her sunglasses.
Continuity mistake: When Miranda talks about her date licking her butt, the food on her fork disappears between shots.
Answer: I'm a long-time fan of the show, having re-watched it many times, and I definitely remember slightly different dialogue at the end of that episode than what's on my DVD. I'm afraid I have no idea why this change might have been made or any other info, but you're not insane.
Purple_Girl