That said, I'm no mathematician, or even actually very good at mathematics, but I strongly feel that their interpretation and reception in mainstream society has come to be considerably skewed. As Emily noted, "Despite my skeptical nature, I never questioned math and science. I really believed (and I still do, so far) that math had always existed; it was simply discovered by humans- not created." This may in some form be true--the nature of the world almost entirely adheres to a uniform collection of Physics and Mathematical properties that we can easily quantify, measure, or sometimes, exploit. The laws of physics are absolute, never wavering from their linearity. They have existed long before our ability to perceive them, and probably always shall.
However, I believe that although these properties certainly defy and outlast human existence indefinitely, I also firmly take the stance that we as intelligent creatures impose our own essence upon them--we measure and manipulate an endless spectrum of variables into a simplified, comprehensible language. (That is colloquially known as 'Mathematics.') While many elements of this language are entirely sensible, I view others... simpler components, even--to be quite arbitrary. Why, for example, did early Mathematicians dictate that 1,2,3(etc.) were the intervals in which we were to measure? Why is 1.4883289 not its own (whole) number, maintaining its own equal and effectively highlighted significance as more common integers do? As it exists between two conceptual amounts, when taken to a real-world setting, does it even truly exist? It depends on the context.
My ability to articulate is likely hindered by my extremely limited Mathematical knowledge, but I suppose the core of my assertion suggests that Math is, as we know it, a language. It is a language that measures quantitative reasoning in the same sense that English is a language that dictates linguistics in the sounds of our speech. (I do not believe Math to actually be the physical/logistical laws we utilize, any more than English as the literal ability of human beings to communicate--that is essentially the reason there are hundreds of thousands of languages we can never begin to fathom.) Neither is more arbitrary than the other, they are simply separate concepts.
“As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.”
Albert Einstein
--Aaron

I see what you are saying about Math being a language...but really, we are just assigning words to something that already exists. The English language is arbitrary, to me. The rules of grammar don't have any relevance to the world, whereas I feel that math does. The rules of math are logical. The rules of grammar are (to me, at least) completely illogical.
ReplyDeleteI agree that some lower level math is extremely logical, though as soon as you breach Calculus and the concept of infinity, I withdraw that conclusion.
ReplyDeletegrammar also is logical even more so you might say some may seem arbitrary others petty but the rules of grammar exist so that communication is better facilitated if you have trouble following my logic or understanding what say I mean than you my proof may be pointed out at to