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The Psychophysical Paradox is a historic paradox, but as yet unresolved problem, pertaining to the study of philosophy as well as sciences such as biology and physics.
Overview The problem emanates from the failure of these multiple disciplines, to explain the very existence of a concious 'self', or 'psych', which is capable of cognition and perception (particularly human cognition and perception). It follows, obviously, that these disciplines fail to neither explain nor even address the relationship of this 'psychic' cognitive perception to the real-world as conceived in science and philosophy, essentially through this 'amorphic', scientifically undefined human perception and cognition-capable concious 'self', or 'psych'. This failure constitutes a violation (and a paradox) on the parts of science and philosophy, of the prerequisites that they must meet, which are the existence, recognition, understanding and formulation, within them, of this human perception and cognition-capable concious 'self', or 'psych', upon which, they (science and philosophy) fundamentally rely.
The Problem Caused by the Psychophysical Paradox There is a major problem for science in this paradox. Basically, whenever science refers to the real-world, it assumes at the outset the role of human 'psychic' recognition and perception in it, particularly the role (and existence) of a concious 'self', as the unique and only channel available to science, through which to refer to the real-world. However, the question of the existence of a concious 'self' is subject to a plethora of debate, but there is as yet no satisfactory explanation in science (such as physics) for it. Therefore, science seems to take the effect for granted, without neither addressing nor explaining the cause, as expected of it. The absence of a 'proper' scientific model, and formulation of this elusive, 'amorphic' concious 'self', may give rise to religious and spiritual claims that science is limited, or worse - is nonsense.
The Challenge It remains a challenge to various disciplines of science to achieve a 'proper' scientific model, and formulation of the as yet elusive and 'amorphic' entities of concious 'self', 'psych', cognition and perception, as well as the relation between them and the real-world. It seems that some of the difficulty to achieve this stems from the multidisciplinary nature of this major problem, and the very question of which disciplines are (or should be) actually involved in addressing it.
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