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Here's what the VIP pundits said.
Chris Sutton
"The midfield is really vulnerable, but it's not just in the midfield.
"The goalkeeping situation is a mess. Sam Johnstone doesn't really excite and inspire me, and I think he's going to be safe.
"You've got Liam Scales dribbling out from the back thinking he's Baresi - he's not. The lack in midfield athletically and physically.
"Then you sign two strikers, but you can't play them together. Why not? Because you can't play 4-4-2 because the midfielders aren't athletic enough to do that and he doesn't want to play a back three.
"Martin needs to be forthright in how he wants to play and stick to one thing. It's a lottery waiting for the Celtic team, who knows what team Martin is going to pick?"
Kris Boyd
"Overall if you look a Celtic right now, where are they going? If you're operating as a top football club, you should already have a list of who your next managers are.
"Celtic haven't a clue what they're doing... the hierarchy will say, 'we're still successful, we're still winning', but eventually it catches up with you if you don't have a plan in place."
"Celtic have got a team that if they're all functioning - as we saw against Hearts - they can still cause problems for every team in the league. But they're not functioning properly.
"There are other managers under severe pressure. There has to be serious questions asked about Martin [O'Neill] now. Last season is over now... and right now, for Celtic to have lost six in the last ten in all competitions still isn't good enough. They're miles off it."
Pat Bonner
"It was a terrific display from Falkirk defensively. They had much more penetration than Celtic, who just go from side to side. Scott Bain was unbelievable. Absolutely unbelievable. I counted eight saves he made.
"Falkirk deserve it. They've got a terrific young team. John McGlynn has done a great job with them. But there are big question marks over whether or not these players are good enough for Celtic."