I Believe The Universe Is Purely Mathematical

Here's a crude proof that math existed before the universe began. I love proofs :D They're pretty smexy :P

Lemma 1: Particles are purely mathematical.

Proposition A: Everything can be broken down into a single or a class of elementary particles.

In this situation, the tiniest particle cannot have any physical property, else it could be broken down further. Its properties can only be mathematically described in terms of its resonant frequency and spin. There are no physical properties at this level; everything is just a modeled interaction between said particles with given formulaic patterns.

Proposition B: Everything is made up of infinitely tiny particles or particles that can be broken down an infinite number of times.

In this situation, there is no tiniest particle. Due to the nature of infinity, the supposed "tiniest" particle doesn't exist and the resulting structure has no physical property; again, only a purely mathematical one that defines the interactions between particle structures within itself and between others, its spin, and resonant frequency.

Because these are the only two possible outcomes, being Boolean in nature, and because both have been proven to be purely mathematical, I have now proven that the fundamental particles are purely mathematical.

Corollary: Using the proof of Lemma 1, I introduce a syllogism.

Because the fundamental particles are purely mathematical, and the universe is made up of and only of these fundamental particles, the universe is also purely mathematical in nature.

Lemma 2: Fundamental particles and forces came after math.

Fundamental particles and forces have their basis in math. Fundamental particles and forces couldn't have been created without the prior existence of math, because there wouldn't be any way to define their properties, as proposed in Lemma 1. Thus math had to exist prior to the existence of fundamental particles and forces for them to exist, else they couldn't possibly defined.

Conclusion:

Because everything is made up of fundamental particles and forces, which are in turn purely mathematical, everything is purely mathematical. Because mathematics define these forces and not the other way around, mathematics had to exist first. Because these particles and forces had to be created somehow during the Big Bang, math had to be there to create them initially to define the singularity.

THUS math existed before the creation of the universe :D

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freeed

I humbly take issue with your "proof". To begin with, one does not begin with lemmas, one begins with axioms. From axioms, which are PRESUMED true, one proves theorems. From these theorems, which have been proved true within a context, one derives other theorems which can then be used to prove a conclusion.
http://mathworld.wolfram.com/Lemma.html gives the definition of lemma as
"A short theorem used in proving a larger theorem."
http://www.merriam-webster.com/dictionary/lemma has
"Definition of LEMMA
1: an auxiliary proposition used in the demonstration of another proposition ".

Unfortunately these definitions are at odds, one calling a lemma an unproved proposition, which we have here, the other describing it as already proved. In any case, your 1st lemma is neither auxiliary nor proved true and I do not accept it.

To continue, I know of no one else who accepts your Proposition B. Classical subatomic particles are fundamental in that they CANNOT be further reduced. They can be described by, but are however not, mathematical points. Even the latest formulation - String Theory - is based on tiny, tiny, tiny vibrating "strings" having the resonances you describe. These strings already are one dimensional (have extension in space) and are not reducible. This is so crucial it bears reiteration. These strings already are one dimensional (have extension in space) and are not reducible. Further, mathematical points are not reducible. You claim , then, there is such a thing as half a point. Euclid must be spinning in his grave (get the pun?) as a point has no parts. "A point is an exact position or location on a plane surface. It is important to understand that a point is not a thing, but a place." (http://www.mathopenref.com/point.html)
Moreover, your Lemma 2 IS your conclusion. It cannot be used as proof of itself!
Finally, math is man made (this position is endorsed by Max Tegmark in "Our Mathematical Universe" which you have yet to read as have I. :P)
Ergo math came only after man, who appeared after fundamental particles (of which he is made) which formed after the universe began.

QED

X,D