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We show that (SCI) can be characterized probabilistically by using the predictable part $\\zeta^p$ of the life time $\\zeta$ of the symmetric Markov process $X=({\\bf P}_x,X_t)$ generated by $(\\cE,\\cF)$, that is, (SCI) is equivalent to $\\bfP_x(\\zeta=\\zeta^p<\\infty)=0$. We define a concept, {\\it explosion by killing} (EK), by $\\bfP_x(\\zeta=\\zeta^i<\\infty)=1$. Here $\\zeta^i$ is the totally inaccessible part of $\\zeta$. 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We show that (SCI) can be characterized probabilistically by using the predictable part $\\zeta^p$ of the life time $\\zeta$ of the symmetric Markov process $X=({\\bf P}_x,X_t)$ generated by $(\\cE,\\cF)$, that is, (SCI) is equivalent to $\\bfP_x(\\zeta=\\zeta^p<\\infty)=0$. We define a concept, {\\it explosion by killing} (EK), by $\\bfP_x(\\zeta=\\zeta^i<\\infty)=1$. Here $\\zeta^i$ is the totally inaccessible part of $\\zeta$. 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