Not sure but was it Jon Levitt who gave the formula for the highest standard one could reach as (IQ*10)+1000? So to reach 2400 one would need an IQ of around 140.Justin Hadi wrote:"A non-IM player who works hard and is coached properly will eventually make IM."

OK. Take coaching by say Karpov, hard work from an early age and plenty of tournament practice, and an IQ of above 110 then I believe it's possible.

The gravitational pull of a player's inherent limitations prevent him from reaching the stars. The "law of diminishing returns" sets in. I'm roughly 1800 strength now. With a year's hard work of honing my openings and constant practice, I could probably raise it to 1900. The same effort over the second year will result in only a 50 point increase; over the third in a 25 point increase. Summing the infinite series: 100+50+25+12.5+6.25+... yields a 200 point increase. 2000 represents my "wall." This law holds for everyone, but with varying strengths. For Carlsen, it may be 100+90+81+...., which yields a 1000 point increase, so he can reach 2800.

The big mistake would be for me to linearly extrapolate the first year's increase and think: "Hmmm, at this rate, I should hit IM in five more years." Ain't gonna happen. I'm sure virtually every IM has entertained hopes of becoming a GM -- but most don't make it. The 100-point gap between IM and GM defeats them. I'm sure most GMs have entertained the hope of reaching 2600 strength -- but again, that 100-point gap defeats them. Each step up the ladder becomes disproportionately more difficult. As Botvinnik pointed out a long time ago.