Dictionary Definition :
Definition[1]
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乃佛陀慈悲之喻。謂一人有七子,於患病之子慈心最深。「七子」之說法不一,一說係六道眾生六者與有罪之人,或謂六住之菩薩與十信之外凡,或四果、緣覺、聲聞與外凡人。大般涅槃經(北本)卷二十(大一二‧四八一上):「譬如一人而有七子,是七子中一子遇病,父母之心非不平等,然於病子心則偏多。大王!如來亦爾,於諸眾生非不平等,然於罪者,心則偏重。」
Source
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佛光電子大辭典
Page
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p91
Definition[2]
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The parable in the Nirvāna Sutra of the sick son whose parents, though they love all their sons equally, devote themselves to him. So does the Buddha specially care for sinners. The seven sons are likened to mankind, devas, sravakas, pratyeka-buddhas, and the three kinds of bodhisattvas of the 藏, 通 and 別教.
Source
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A Dictionary of Chinese Buddhist Terms, William Edward Soothill and Lewis Hodous
Definition[3]
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(名數)父母有七子,於病子慈心最深。七子譬人,天,二乘,藏通別三教之菩薩也。涅槃經二十曰:「譬如一人而有七子,是七子中一子遇病,父母之心非不平等,然於病子心則偏多。大王!如來亦爾,於諸眾生非不平等,然於罪者心則偏重。」章安疏曰:「或以七方便根性為七子,謂人天二乘三乘菩薩,是七子中有起過者,心則偏重。」
Source
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丁福保《佛學大辭典》