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Unaudited Quarterly Financial Data (Details) (USD $)
In Thousands, except Per Share data, unless otherwise specified
3 Months Ended 12 Months Ended
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2012
Sep. 30, 2012
Jun. 30, 2012
Mar. 31, 2012
Dec. 31, 2013
Dec. 31, 2012
Dec. 31, 2011
Interim Reporting [Line Items]                      
Net premiums earned                 $ 6,309,521 $ 6,090,437 $ 5,690,130
Underwriting Profit Loss                 245,191 3,968 (619,038)
Net income (loss) attributable to ordinary shareholders 300,780 135,648 272,698 350,790 81,444 171,902 221,154 176,628      
Earnings (loss) per ordinary share and ordinary share equivalent - basic (in dollars per share) $ 1.07 $ 0.48 $ 0.94 $ 1.19 $ 0.27 $ 0.57 $ 0.71 $ 0.56 $ 3.68 $ 2.12 $ (1.52)
Earnings (loss) per ordinary share and ordinary share equivalent - diluted (in dollars per share) $ 1.05 $ 0.47 $ 0.93 $ 1.17 $ 0.27 $ 0.56 $ 0.71 $ 0.56 $ 3.63 $ 2.10 $ (1.52)
Property and casualty operations
                     
Interim Reporting [Line Items]                      
Net premiums earned 1,510,727 1,550,629 1,488,497 1,464,246 1,538,557 1,468,554 1,400,970 1,357,897 6,014,099 5,765,978 5,327,112
Underwriting Profit Loss 101,450 76,900 92,124 180,588 (90,681) 114,203 129,372 63,238 451,062 216,132 (397,353)
Life operations
                     
Interim Reporting [Line Items]                      
Net premiums earned $ 81,398 $ 74,683 $ 73,896 $ 65,445 $ 80,829 $ 79,487 $ 85,623 $ 78,520 $ 295,422 $ 324,459 $ 363,018