I wonder if anybody can beat 1NaturalDisaster
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Do any of you people even know what mine is? Sheesh.
Euler's formula, very cool since it shows the link between e and i.

Do any of you people even know what mine is? Sheesh.
Euler's formula, very cool since it shows the link between e and i.
I know nothing (within five significant digits) of mathematics, but every time I see Euler's identity, it makes me feel like there's some underpinning to mathematics that it unites. Some sort of secret code that we just aren't seeing.
Or, maybe we've already found it, and my lack of mathematical knowledge is just so pitiful that I am utterly ignorant of it.

Do any of you people even know what mine is? Sheesh.
Euler's formula, very cool since it shows the link between e and i.
I know nothing (within five significant digits) of mathematics, but every time I see Euler's identity, it makes me feel like there's some underpinning to mathematics that it unites. Some sort of secret code that we just aren't seeing.
Or, maybe we've already found it, and my lack of mathematical knowledge is just so pitiful that I am utterly ignorant of it.
I know a some math, up to calculus, linear algebra, and a little bit of differential equations. But I think both your main points are correct.
One, that there is something mysterious that underpins (acts as a foundational substratum for) mathematics and physical reality, which explains the "unreasonable effectiveness or mathematics".
And two, that we only partially understand this connection. Actually I think reality at its innermost "core" is beyond conceptualization, so we will never fully understand it via the intellect alone.

it makes sense to me that e and pi and i would be connected this way...after all a circle is just defined by the square root of a constant minus x squared. what i always though was a near coincidence was that the additive (0) and mutiplicative (1) identities are also in there
Yes, very interesting that pi is in there too. I remember seeing somewhere that mathematicians voted Euler's Identity to be the most beautiful mathematical equation of all. Your understanding of math is way ahead of mine, but this topic definitely interests me enough to motivate me to continue learning (even though I long ago finished with formal schooling).
One specific aspect that I find especially intriguing is the frequent occurance of complex numbers in quantum mechanics. Now I understand there is nothing special about the label "imaginary" in "imaginary numbers" (it was an arbitrary choice to use that terminology), but why should i (square root of -1) be so common in the QM treatments of physical nature?
In First place once again it's. 1NaturalDisaster