As for Carlsen, how can anyone say that he makes ‘one blunder per game’ ? How would anyone know about a blunder of the latter case, since that can only be spotted by significantly stronger engine, that may never be built? Until then, we cannot be sure he didn’t blunder on the first or second move...Only three people here understand this simple fact, for some reason...
We can't KNOW this, and I emphasised this. However, the analysis of games using very powerful engines is consistent with this.
In response to your likely retort "these engines are not perfect", note that chess is primarily NOT a matter of what was considered good being seen to be bad with deeper analysis and then being reversed again with even stronger analysis, but more a matter of reinforcing and making precise, with occasional refutations. The Ruy Lopez has been viewed as sound for several hundred years and AlphaZero has the same, entirely independent "opinion").
As I have pointed out before, improvements in chess quality are largely about giving the opponent the opportunity to blunder by accumulating practical advantage rather than by refuting established conclusions.
All of which have no idea what perfect looks like. And also, I REALLY doubt he averages choosing the engine move every move but one per game.
As for Carlsen, how can anyone say that he makes ‘one blunder per game’ ? How would anyone know about a blunder of the latter case, since that can only be spotted by significantly stronger engine, that may never be built? Until then, we cannot be sure he didn’t blunder on the first or second move...Only three people here understand this simple fact, for some reason...
We can't KNOW this, and I emphasised this. However, the analysis of games using very powerful engines is consistent with this.
In response to your likely retort "these engines are not perfect", note that chess is primarily NOT a matter of what was considered good being seen to be bad with deeper analysis and then being reversed again with even stronger analysis, but more a matter of reinforcing and making precise, with occasional refutations. The Ruy Lopez has been viewed as sound for several hundred years and AlphaZero has the same, entirely independent "opinion").
As I have pointed out before, improvements in chess quality are largely about giving the opponent the opportunity to blunder by accumulating practical advantage rather than by refuting established conclusions.