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Implicit knowledge refers to the unconscious, intuitive knowledge that learners develop through meaningful exposure and use of a language. In contrast, explicit knowledge involves conscious understanding of language rules, often acquired through formal instruction or study. [ 1 ]
Aparoksha (Sanskrit: अपरोक्ष), a Sanskrit adjective meaning not invisible or perceptible, [1] refers to direct intuitive knowledge which is one of the seven stages of knowledge or conditions of Chidabhasa, the first three being the sources of bondage and the rest four being the processes of liberation; and to the continuation of the deepening of conventional knowledge.
Also influenced by Platonic ideas, Ibn Sīnā (Avicenna) finds the ability to have intuition is a "prophetic capacity" and he describes intuition as knowledge obtained without intentionally acquiring it. He finds that regular knowledge is based on imitation while intuitive knowledge is based on intellectual certitude. [28]
Logical Intuition, or mathematical intuition or rational intuition, is a series of instinctive foresight, know-how, and savviness often associated with the ability to perceive logical or mathematical truth—and the ability to solve mathematical challenges efficiently. [1]
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Professor Michael Polanyi on a hike in England. Polanyi's paradox, named in honour of the British-Hungarian philosopher Michael Polanyi, is the theory that human knowledge of how the world functions and of our own capability are, to a large extent, beyond our explicit understanding.
Intuition is an assumed truth with an unknown, or possibly unexamined, source. It is a judgment that is not dependent on a rational examination of the facts. It is usually experienced as a sudden sensation and/or rush of thoughts that feel "right". Many persons experience intuitive epiphanies which later prove to be true.
In contrast, tacit knowledge is intuitive and unarticulated knowledge that cannot be communicated, understood or used without the 'knowing subject'. Unlike the transfer of explicit knowledge, the transfer of tacit knowledge requires close interaction and the buildup of shared understanding and trust among them.