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a09000000@gmail.com Cheap prices, fast receiving, your choosed card brand, payment via PayPal. By the way : This is educational video. If you get any idea how to educate from it, than go n` educate yourself. Ha haa. You understood. corresponding mathematical rule will yield the very Gödel number that represents the next step of the derivation. Thus Gödel discovered a heretofore undiscovered level of meaning in the formal system. But where is the paradox? Gödel showed how this process of "Gödelization" can be used to construct the following paradoxical statement in terms of the formal system. This theorem cannot be proved in this system. Now if the concerned system of formal math is REALLY complete (ie able to provide logical proofs to all its theorems) then a proof for the above statement will automatically prove the system's inconsistency (as the system now proves a contradictory statement). On the other hand, the inability to prove the statement (indeed that is the case) is evidence of the INCOMPLETENESS of mathematical logic! Herein lurks another paradoxical self-reference -- a Strange Loop!. Essential incompleteness and Recursion Paradoxical statements like these defy the neat categorization of 'truth' and 'false'. In fact, truth and falsehood seem to be constantly leading to each other in a continuous fashion. This is the strangeness of the loop and it involves a process of recursion. Recursion is a procedure which entails repeating its own steps indefinitely. The ...

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