Monday, April 8, 2019

The Principle Of Explosion And The Paradox Of Creation

The principle of explosion is a rule of classical logic, which asserts that if a contradiction is true, then anything is true. This can be demonstrated in the following manner:

P1: P is true.
P2: P is false.
C1: Either P or Q is true (P1).
C2: Q is true (P2, C1).

The first two premises (P1 and P2) set out the contradiction, where "P" can be any statement, found to be both true and false. In the first conclusion (C1), we simply conclude from P1 that if P is true, then either P or Q is true. Thus if the sun is shining, it is also true that the sun is shining or that unicorns are real. However, we have also shown in P2 that P is false, and therefore Q must be true. Hence, unicorns must be real (or whatever else you want to put in the place of Q).

Perhaps this seems like mere sophistry to some, but I find the metaphysical implications to be rather interesting. It reminds me of the Rig-Vedic assertion that at some point there was neither existence nor non-existence, nothing was then that can be fathomed. From the initial paradox of being/non-being, everything simply is - though perhaps not unicorns.

1. THEN was not non-existent nor existent: there was no realm of air, no sky beyond it.
     What covered in, and where? and what gave shelter? Was water there, unfathomed depth of water?
2. Death was not then, nor was there aught immortal: no sign was there, the day's and night's divider.
     That One Thing, breathless, breathed by its own nature: apart from it was nothing whatsoever.
3. Darkness there was: at first concealed in darkness this All was indiscriminate chaos.
     All that existed then was void and formless: by the great power of Warmth was born that Unit.
4. Thereafter rose Desire in the beginning, Desire, the primal seed and germ of Spirit.
     Sages who searched with their heart's thought discovered the existent's kinship in the non-existent.
5. Transversely was their severing line extended: what was above it then, and what below it?
     There were begetters, there were mighty forces, free action here and energy up yonder
6. Who verily knows and who can here declare it, whence it was born and whence comes this creation?
     The Gods are later than this world's production. Who knows then whence it first came into being?
7. He, the first origin of this creation, whether he formed it all or did not form it,
     Whose eye controls this world in highest heaven, he verily knows it, or perhaps he knows not.
https://en.wikisource.org/wiki/The_Rig_Veda/Mandala_10/Hymn_129


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