The first thing one should understand about Binaryism is just how prevalent binary concepts are in the universe. Most of the things we think of as having “opposites” have binary counterparts, and the “opposite” is often not an opposite at all, but rather the binary counterpart. Hot and cold is a prime example. We have a tendency to think of them as opposites, but heat is just thermal energy, and cold is merely the absence of that thermal energy. It’s such a good example that even the theoretical complete absence of any heat whatsoever is called Absolute Zero. We can only ever approach Absolute Zero, but never actually reach it, as particles must always, to some extent, be moving. Zero is the limit of the function.
Such is the case with most of our Zeroes, as we shall see.
So hot is quantifiable, and cold is the absence of that quantity. What other common, quantifiable concepts share this binary relationship?
Quantitative Binary Relationships
1
Hot
Fast
Big
Hard
Opaque
White
0
Cold
Slow
Small
Soft
Transparent
Black
Et cetera. Pretty simple. It can get trickier, however, when two concepts cannot be quantified, but may still be qualified as the 1 or 0 in a binary relationship.
Qualitative Binary Relationships
1
Male
Linearity
Falsity
Ugliness
Creation
Wholeness
0
Female
Circuity
Truth
Beauty
Destruction
Emptiness
Et cetera.
You may have noticed that, up until just now, Binaryism seems to share much in common with the premises of Boolean Algebra. It will continue to show strong similarities. However, whereas Boolean Algebra designates 1 as “true” and 0 as “false” (as anyone who has made the most basic attempt at programming should know), Binaryism flips it around.
Why?
In Binaryism, 0 is always the ideal, the natural state, before corruption. With theoretical states such as Truth and Beauty, it is the goal we strive toward but can never reach with 100% completion. With real states such as male and female, in addition to the general shape of our primary sexual characteristics, it is also true that a fertilized creature-in-development’s default state is female, and it is not unless androgens are introduced that it will develop into a male. Likewise, this will not occur unless the Y chromosome is paired to the X. As with Boolean Algebraic disjunctions, 0∨0 (or XX) = 0 (female), and 0∨1 (or XY) = 1 (male). 1 is the corruptor…
…but it is also the creator, as we shall see.
The Fatalist Marksman 
At first you seem to be trying to say that this proposed concept of binary counterparts carries more significance than simply talking about ‘opposites’. But when you use heat and cold to illustrate that concept, you end up saying “…heat is just thermal energy, and cold is merely the opposite of that thermal energy.” This sentence seems be indicating that the binary counterparts are the same thing as opposites. So which is it? Are they the same concept?
Also, it’s not clear to me why ‘white’ is on the Zero side. If discussing quantifiable concepts, and assigning the absence of such a quantity to the Zero side (as you did with heat and cold), then I would think that ‘white’ is a quantifiable characteristic of an amount of light, whereas ‘black’ is the absence of light.
Finally, following your list of qualitative relationships, you say that 0 is the idea, what we strive for. I am therefore surprised to see ‘destruction’ in that list. It certainly carries a negative connotation in my mind, and I’m wondering if you are thinking of destruction in a different sense then I am. Of course, your final statement about 1 being the creator indicates further discussion on this topic, so I will wait and see.
This is a typo; thank you for catching it! Should say that cold is the absence of thermal energy, not the opposite. Updated.
You’re also right about white and black; they should be switched. Updated. This is why I shouldn’t post after midnight.
And yes… regarding the creation/destruction designations: we shall see!
Thanks for your comments!
THIS is what makes the Internet so great — discussions involving Boolean Algebra.
Well, that and videos of cats.
Ah, yes. Which binary designation shall we give to videos of cats on the internet? Interestingly, “lol” is a zero in between two ones. Perhaps this deserves in-depth exploration.