Thursday, March 10, 2011

A different universe in the mirror

I was completely stumped when I came across the following question:

Why does a mirror reflect left and right, but not up and down?

I thought about this question for about 3 hours. I searched the internet for explanations, and I should warn you that practically all of them are incorrect, or miss the point entirely. It is almost an embarrassing question to think about. If I had been asked this question in person, I would probably have shot off a self-assured "explanation" out of vanity, before returning to the privacy of my room to reconsider it.

Many things dawned upon me as I contemplated what it all meant. My conclusion is that there is a different universe on the other side of the mirror. It is a universe of a distinctly different quality from ours. By this, I mean that we cannot mimic that universe without using a mirror (or something similar) in the first place. There are, in quite a literal sense, two universes, and the mirror is the conceptual impassable border between the two. Maybe I am completely off, so please let me know if you have a satisfactory answer to this question.

Of course, your reflection on the other side is contemplating the exact same thing as you are.

2 comments:

  1. Eh I came across a basic math equation which sparked some debate, but I thought it's just inconsistency in use of function symbols.

    48÷2(9+3) = 2 or 288?

    I got 2 because I took 2(9+3) like I would work a "2x" expression. But if you take that part as a simple multiplication it would be the left to right rule, divide then multiply, giving 288. So which is it? Or is that equation just flawed.

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  2. Hello, didn't check my blog for a long time.

    '2' is what I would have calculated. '2' and '(9+3)' are not separated by ' + - x ÷ ', so it is customary to multiply them first. An unambiguous way to write the expression would be '48÷(2(9+3))', but you will start piling up the parentheses very quickly.

    And, if there's a debate, it would be on the conventions adopted for writing these.

    Remark: In the spirit of this blog entry, the "left-to-right" rule that we are taught in school is ambiguous (as always, try telling it to an alien). The problem is that division is not commutative: 4÷2 is not the same as 2÷4. A prudent practice is to use only the commutative operations: addition and multiplication. The equal sign also works in either direction. Subtraction and division are derived operations and introduced because we are lazy bums!

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