From
∑ilence: The Mathematics of Us
by Sarah B. Royal
Proofs of Us
I and you—how math mimics connection,
real rules beneath a tender imperfection.
We anchor in theorems, drift into reflection;
relations bend logic with quiet insurrection.
Let √(−1) = i, an imaginary friend—
some truths need symbols that softly pretend.
Even when balance refuses to stay,
and both sides of life won’t equal each day,
Take x ≠ y, still x → y remains true:
difference allowed, one motion to you.
Math tries its best to measure what’s new,
love writes the lemma no numbers can do.
Emotional logic breaks algebra’s frame;
we ≠ same, though we → flame.
Proof: If each term is warm and positive-signed,
the series diverges—no upper bound defined.
Sometimes equations collapse by design,
not errors, but choices where meanings combine.
Proof: If direction holds, then change defines the line—
not sameness, but slope, where our paths align.
The constant of change proves something is true:
lim (us + time) → something more than two.
Proof: If Δheart > 0, growth follows through—
inequality holds, but still rises toward you.
Sweetness resists any formal endeavor;
∑ moments with you = leaning toward forever.
Equations may falter, but still they infer
that growth—however uneven—is real,
and we endure.

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