In the base ten system, 10 is ten.
In the base two system (binary), 10 is two.
In the hexadecimal (base 16) system, 10 is 16.
In fact, in every base b system, 10 is b.
In the base pi system, 10 is pi. Note that 10 is an integer with respect to the base pi system.
So what makes an irrational number irrational?
I feel like I'm in a dark room with a few candles, one of which is math. I have selected to focus on that candle but have so far found only very disturbing things by investigating this candle which I used to think illuminated the whole room; sadly, I don't think it does. It is just another tool with its own set of applicability and limits.
If you're trying to understand reality in whole or in part, would you want to know "the truth" if it is so disturbing that it makes a significant percentage of people who "know" that "truth" have mental breakdowns? In essence (though I loathe these terms) would you trade all of your sanity in order to learn this truth? You might be set free by truth and maybe not but if you're insane (whatever the hell that means)but know the truth is that worth it?
Perhaps the process of becoming free, in mind at least, involves, or can involve, what some might call insanity.
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