How is it possible every nation in the Antarctic treaty has held up their end of the deal? No oil exploration? Nothing? Seriously? Why does John Kerry keep going there? He may be a Globalist climate radical, but seriously? He's not a scientist! Why is every thing these people have done exactly like Nazis? Even down to medical experimentation?Where did those 43,000 german women who were shipped to Antarctica at the end of WWII go? Is it possible we are actually dealing with the 4th Reich? Did Nazis really escape to Antarctica? Why can't a plane traverse it? Why are all plane paths set to completely avoid it? Environmental reasons? For real? If you believe that, I've got a bridge to sell you! What is our reality? WHO or WHAT is in Antarctica?
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We can think of numbers as being points on a continuous number line (or plane, if we want to include lateral/imaginary numbers like “i”). There are so many of them that we can’t possibly think of all of them individually at once, or have a unique symbol for each and every one of them. So we choose a few numbers (0, 1, and the natural numbers all the way up to but not including the chosen base), and some symbols to show relationships, and now we have the tools to describe every number we can possibly think of. But we only have finitely many symbols. The continuum of real numbers is infinite, so there are always going to be some numbers (that do exist) that require an infinite number of symbols to represent.
Decimals are one such system that can technically describe any number with a finite selection of symbols used infinitely many times. If you think about what decimals and the place value system really mean, it’s the sum of an infinite power series that converges to the number we want to represent. The complexity of numbers in general is one of the things that makes mathematics beautiful, in my opinion.
Those are good analogies. I still think math can be perfect (maybe not literally) but our systems in math to be imperfect. That said, is there a perfect system or more perfect system?
Edit: before anyone asks, perfect literally means finished.
Depends what you mean by perfect. If your problem with decimals is that some of them need an infinite number of digits to be perfectly precise, then that’s unavoidable unless you want to write infinity many unique symbols down.
Interesting.
My herb-based brain has a theory… math is a way to approximate ‘perfection’ hence Math in itself is not complete/absolute.
My odd reasoning is around description. If one can describe ‘perfection’ or completeness, then the language is ‘sound / perfect’. The issue is we as a species, currently, do not have the tools or language to describe this at this time…. Math is close, and Math is ‘universal’ in the sense that we all agree on the symbols and bases used. We could very well come up with an alternate for of mathematical descriptions/language.