Classical World Chess Championship 1995
| Defending champion | Challenger |
 |
 |
 Garry Kasparov (RUS)
|
 Viswanathan Anand (IND)
|
| 10½ | 7½ |
| Born 13 April 1963 32 years old |
Born 11 December 1969 25 years old |
| Winner of the 1993 PCA World Chess Championship | Winner of the 1994-95 Candidates Tournament |
| Rating: 2805 (Ranked #1) | Rating: 2715 (Ranked #4) |
The Classical World Chess Championship 1995, known at the time as the PCA World Chess Championship 1995, was held from September 10, 1995, to October 16, 1995, on the 107th floor of the World Trade Center in New York City. Garry Kasparov, the defending champion, played Viswanathan Anand, the challenger, in a twenty-game match. Kasparov won the match after eighteen games with four wins, one loss, and thirteen draws.
In 1993, the reigning FIDE World Chess Champion, Garry Kasparov decided to split from FIDE because he felt the organisation was corrupt, and formed a rival organisation, the PCA (Professional Chess Association). In response, FIDE stripped Kasparov of his status and organised an event to determine a new champion — this event was won by Anatoly Karpov.
Kasparov claimed that, as he had not been defeated by a challenger to his title in a match, and in fact had defeated the rightful challenger (Nigel Short in 1993), that he was still the reigning world champion.
Thus, for the first time since the inaugural World Championship in 1886, there were two rival World Chess Championships.
The PCA ran a world championship cycle similar in format to that in use by FIDE at the time. It was to be the only full championship cycle run under the auspices of the PCA.
The PCA held a qualifying tournament and Candidates matches in 1993–1995. A number of leading players did not participate, most notably FIDE World Champion Anatoly Karpov. The events were held at a similar time as the FIDE World Chess Championship 1996, with many of the same players playing in both.
The Qualifying tournament in Groningen in December 1993 had 54 players participating in an 11-round Swiss system tournament, with the top seven qualifying for the Candidates Tournament.
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