Dialectical tensor logic

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Ilija Barukčić

Abstract

Classical logic is more or less free of uncertainty and deals about the values either 0 or 1. Classical logic as such has a strong capacity to exploit structure and is in this sense at the end familiar with general relativity. Contrary to Classical Logic, Probability theory is known to be powerful enough to handle uncertainty and is in this sense at the end very familiar with quantum mechanics. The world of probability theory is always located between 0 and 1, probability is a number between 0 and 1. An impossible event is known to have a probability of exactly 0, a certain event has a probability of 1. In so far, it appears to be difficult to find a connection between classical logic and probability theory, it appears impossible to unify general relativity and quantum mechanics into one theory using the same language. The one appears to be the complementary of the other, the opposite of the other, the one seems to exclude the other out of itself and vice versa. Consequently, where logic governs, there is no probability and vice versa. Where probability governs, there is no logic. On the first sight, it appears to be impossible to unite both. Is there logic in probability, is there probability in logic, is there something like a probabilistic logic (Nilsson, 1986)? Is there relativity in quantum mechanics? Is there uncertainty in general relativity? This paper provides



a contribution to unify classical logic and probability theory.

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How to Cite
Barukčić, I. (2007). Dialectical tensor logic. Causation, 2(3), 5–59. Retrieved from https://causation.eu/index.php/causation/article/view/34
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