Surely,
it takes more than a week to understand new concepts in university. It was a
gruesome week to go through, trying to renew myself to think and act like a
mathematician. Quicker than expected, the consequences due to the lack of
background in proofs and theoretic math caught up to me. Arithmetic is
definitely different from the computing math from calculus from high school.
The first half of the week was acceptable as I quickly grasp the understanding
of conjunction and disjunction; conjunction is the combination of two
statements that has to be true whereas disjunction is the combination of two
statements that at least one is true. However, understanding gets chaotic soon
after negation. Entering into the realm of logic, I stumble upon the different laws
of arithmetic. The complex tautology for each law makes it hard to understand
and imagine each situation. Therefore, instead of staring blank at the
different tautology, I tried to draw out Venn diagrams that help shape and
display the different probability. In addition, I used truth table to
understand thoroughly the relationships between the different laws and
tautology. It is quite astounding to find that a statement that is written
completely different from another is equal to it; the art of arithmetic is
beautiful. Despite the fact that it is hammering me, I am still very interested
in uncovering more of the logical world.
I also have the experience of taking more than a week to understand new concepts, but I found out that reading course notes sometimes is helpful.
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