Dictionary Definition :
Definition[1]
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The two ways of entering the truth:— 理入 by conviction intellectually, 行入 by (proving it in) practice.
Source
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A Dictionary of Chinese Buddhist Terms, William Edward Soothill and Lewis Hodous
Definition[2]
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二入 [py] èrrù [wg] erh-ju [ko] 이입 iip [ja] ニニュウ ninyū ||| The two entrances to enlightenment as found in the teachings of Bodhidharma and in the Vajrasamādhi-sutra 金剛三昧經. These are the 'entry by principle' (liru 理入) and 'entry by practice' (xingru 行入)', which includes four practices. See T vol. 9, p. 369c.
Page
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[Dictionary References] Naka1049d [Credit] cmuller(entry) cwittern(py)
Definition[3]
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理入和行入。理入是由理性著手,覓求真本,入佛知見;行入是由實踐著手,實踐修心,磨鍊意志。
Source
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陳義孝編, 竺摩法師鑑定, 《佛學常見辭彙》
Definition[4]
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(名數)一理入,眾生深信本具之理性,於理無所疑,謂之理入。二行入,依理起行,依行入理,謂之行入也。金剛三昧經上曰:達摩所說有理行二入。夫入道多途,要不出二種:一理入,二行入。理入者,謂藉教悟宗,深信含生同一真性,俱為客塵妄想所覆,不能顯了。若捨妄歸真,則聖凡等一,與理冥符而無分別,寂然無為,名曰理入。行入則有四者:一、報冤行,凡修道之人,若受冤苦之時,當念我往昔劫中,捨本逐末,流浪諸有,多起冤憎,違害無限,今雖無犯,是我宿殃惡業之果熟,甘心忍受,都無冤訴。此心生時,與理相應,是體冤進道,故名報冤行。二、隨緣行,眾生無我,皆緣業轉,苦樂齊受,若受勝報榮譽之事,皆是過去宿因之所感,緣盡還無,何喜之有?得失隨緣,心不增減,八風不動,冥順於道,謂之隨緣行。三、無所求行,世人長迷,處處貪求,名之為求,智者悟真,安心無為,萬有皆空,無所希求,是真無求,順道而行,故謂之無所求行。四、稱法行,性淨之理名之為法,法體無慳貪,順之而行檀,乃至法體明朗而無痴闇,順之而行般若,如是稱法而行六度,名為稱法行。見少室六門第三門二種入。
Source
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丁福保《佛學大辭典》