And Scott Johnson's players will aim to regroup ahead of their trip to Italy on 22 February.
"(Talk of the Wooden Spoon) is frustrating," Hogg told BBC Scotland. "It's all about us proving that's not the case."
“An Englishman asked me about the Wooden Spoon and that really hurt me”
Stuart HoggScotland full-back
Scotland's error-strewn 20-0 defeat at Murrayfield left Hogg frustrated and eager to make amends against the Italians in Rome.
"There was a few factors in our game that were disappointing," he said. "Our set piece didn't work and ultimately that's where the game starts.
"If we don't get our first jobs right then it's going to be very tricky from there. The conditions, pitch and weather weren't ideal: a ploughed field is the only way I can describe that pitch.
"It was the same for both teams, though, and England played in the right areas.
"We didn't play in the right areas and England disrupted every breakdown possible, played in the right areas and hence why the came away with the win.
"We'd talked all week about Scotland v England and it being the biggest game possible. And to have them on our own pitch was a great opportunity for us to put one over on them. It's really frustrating as we've come away with a loss.
"Zero from two now in the Six Nations and it's an uphill battle from here."
Hogg believes the players have the capability to arrest their losing run and get points on the board to move off the foot of the table.
"It's about parking this and then getting on with the Italians away in a couple of weeks' time," he added.
Highlights: Scotland 0-20 England
"An Englishman asked me about the Wooden Spoon and that really hurt me. It's not what we're after and not what we need.
"Losing to the English is bad enough but when an Englishman asks you about (the Wooden Spoon), it's like a knife in the back. It's all about us proving that's not the case.
"It's all about getting on the horse again and fighting back, showing that we're capable of winning a game or two."
Former Scotland lock Doddie Weir admits that Johnson has "a lot to think about" following the latest defeat.
"There was a lot of hope from the Scottish supporters and I had a little bit of hope before the game because there's a lot of exciting players in the team," Weir told BBC Scotland.
"The likes of Stuart Hogg and David Denton have to be utilised.
"There are a number of players playing well but need help from the rest of the team.
"The England match was disappointing and the result was not clever for the Scottish public. There's things needing to be done, I think Scott Johnson's got a lot to think about in a number of areas."
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