Mathematics
Van der Graaf Generator Lyrics


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Here be numbers transcendental,
on an imaginary axis spun,
decimal places without limit
and zero and one.

Mathematics,
simply pure beyond belief.
e to the power of i times pi plus one is zero
e to the power of i times pi plus one is zero
e to the power of i times pi is minus one
e to the power of i times pi is minus one

A single function, exponential,
just one addition must be done...
multiplication in completion
of zero, of one.

Mathematics,
just so "wow" it brooks belief.





(You'd better believe, you'd better believe it.)

Overall Meaning

The song "Mathematics" by Van der Graaf Generator appears to be about the beauty and complexity of mathematics. The opening lines speak of "numbers transcendental" on an "imaginary axis," conveying the idea that mathematics contains concepts that go beyond our everyday understanding of reality. The mention of "decimal places without limit and zero and one" suggests the infinite nature of mathematics and its ability to represent and manipulate even the most abstract concepts.


The chorus declares that mathematics is "simply pure beyond belief" and "just so 'wow' it brooks belief." This seems to express the awe-inspiring quality that mathematics can possess for those who truly appreciate it.


The song goes on to reference a famous mathematical equation known as Euler's formula: "e to the power of i times pi plus one is zero / e to the power of i times pi is minus one." This equation relates three of the most important numbers in mathematics - the imaginary unit i, the constant e, and pi - in a way that is elegant and profound. The repeated chanting of this equation in the song emphasizes its power and importance, both within the field of mathematics and as a symbol of the beauty and complexity of the universe itself.


Line by Line Meaning

Here be numbers transcendental,
These are transcendental numbers here, which cannot be expressed as roots of any polynomial equation


on an imaginary axis spun,
They exist on the imaginary plane, represented purely by imaginary numbers on the coordinate plane


decimal places without limit
These numbers have an infinite amount of decimal places


and zero and one.
Also included in this set are the fundamental numbers zero and one


Mathematics,
The study of these numbers and their properties is Mathematics


simply pure beyond belief.
The beauty and simplicity of these concepts is hard to fathom


e to the power of i times pi plus one is zero
This equation, e^(i*pi) + 1 = 0, is considered one of the most elegant and beautiful in mathematics


e to the power of i times pi is minus one
This equation, e^(i*pi) = -1, connects three of the most important numbers in mathematics


A single function, exponential,
This set of numbers can be generated from a single function, the exponential function


just one addition must be done...
Adding one to the product of e^(i*pi) will produce the number zero


multiplication in completion
Multiplying by zero or one completes the set


Mathematics,
Once again, this is all Mathematics


just so "wow" it brooks belief.
The wonder and amazement of these mathematical concepts is hard to comprehend


(You'd better believe, you'd better believe it.)
This statement emphasizes the truth and importance of these mathematical concepts




Contributed by Alaina A. Suggest a correction in the comments below.
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