Chaos and distress leave us with no choice but to think, dream and wonder about certainty and order. It is in these times of clattering questions we mostly dear for enlightenment and the warmth of such trivial intuitions. It is also in these times that we ironically create ideas of boundless measures, for chaos is anything but borders.
For most of us intellectually deprived of the fundamental roots of logic and mathematics, that has been there for ages, we believe that this world is in order or at least be organized when such glorious day comes. I do not know if it is the master plan of somebody all so powerful, like what we want to believe in, or it is just our own hypocritic understanding of such virtues that we fall into chaos.
Paradox as it may seem that order and chaos are related by such subtle boundaries of logic, we still strive for certainty. Hence we fall for the traps of the 20th century's urge for clarity on to the matters clearly logically proven as not. Mathematics has proven that logic and itself are bound by the foundations it created. As much as what Kurt Gödel's and Georg Cantor's experiences screamingly want to tell us that we are mere victims of the very foundations that we are humans, we still long for certainty.
Yet we have intuition. As abstract as the logic that it is not, it is inherently not the certainty that we were looking for. Either it is innately trivial and recursively as it is or we just fall along with the stubbornness the like of Hitler's. We just don't quit. Certainty is nothing but incomplete. But since we still believe that certainty is the asymptote of Moore's Law, it proves our inability to cope with the continuity and infinity of life and creation implied.
Though we know that not all problems are solved by the algorithms of our finite minds, as what Turing popularly synthesized, we still try. Why? Because we want to. We know we can. And though intuition itself is contradictory provable, we still cling to what we call God.
Either intuition created God or God created intuition to fill the gaps of our incomplete logic. Nobody would really know.
Note: I know I used "certainty" way too much. But that is exactly the point.
For most of us intellectually deprived of the fundamental roots of logic and mathematics, that has been there for ages, we believe that this world is in order or at least be organized when such glorious day comes. I do not know if it is the master plan of somebody all so powerful, like what we want to believe in, or it is just our own hypocritic understanding of such virtues that we fall into chaos.
Paradox as it may seem that order and chaos are related by such subtle boundaries of logic, we still strive for certainty. Hence we fall for the traps of the 20th century's urge for clarity on to the matters clearly logically proven as not. Mathematics has proven that logic and itself are bound by the foundations it created. As much as what Kurt Gödel's and Georg Cantor's experiences screamingly want to tell us that we are mere victims of the very foundations that we are humans, we still long for certainty.
Yet we have intuition. As abstract as the logic that it is not, it is inherently not the certainty that we were looking for. Either it is innately trivial and recursively as it is or we just fall along with the stubbornness the like of Hitler's. We just don't quit. Certainty is nothing but incomplete. But since we still believe that certainty is the asymptote of Moore's Law, it proves our inability to cope with the continuity and infinity of life and creation implied.
Though we know that not all problems are solved by the algorithms of our finite minds, as what Turing popularly synthesized, we still try. Why? Because we want to. We know we can. And though intuition itself is contradictory provable, we still cling to what we call God.
Either intuition created God or God created intuition to fill the gaps of our incomplete logic. Nobody would really know.
Note: I know I used "certainty" way too much. But that is exactly the point.
BBC's Dangerous Knowledge
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