THEOREM: √2 is not a rational number

ASSUME: √2 is a rational number
i.e. √2 = X/Y where X, Y are integers with no common factors    (1)
      (cos by definition that what it means to be a rational number)

==> (√2)^2 = (X/Y)^2    (2)  (by squaring (^) each side)
==> 2 = X^2/Y^2    (3)  (by multiplying everything out)
==> 2Y^2 = X^2    (4)  (by multiplying both sides by Y^2)
==> X^2 = 2Y^2    (5)  (by reversing the equation)
==> X^2 is even    (6)  (cos 2 times anything is even)
==> X is even    (7)  (cos if X it were odd, X^2 would be odd)
==> X = 2P where P is some other positive integer     (8)
       (cos by definition that’s what it means for X to be even)
(4) and (8) ==> 2Y^2 = (2P)^2    (9)  (by substituting for X)
==> 2Y^2 = 4P^2    (10)  (by multiplying everything out)
==> Y^2 = 2P^2    (11)  (by dividing both sides by 2)
==> Y^2 is even    (12)  (cos 2 times anything is even)
==> Y is even    (13)  (cos if Y it were odd, Y^2 would be odd)
==> Y = 2Q where Q is some other positive integer     (14)
       (cos by definition that’s what it means for Y to be even)
(1), (8) and (14) ==> X/Y = 2P/2Q  (17)  (by substituting for X and Y)
==> X and Y have a common factor of 2  (18)  (cos we can see the 2’s)
==> The assumption at (1) is false  (19)
       (cos it says: “X, Y are integers with no common factors”)
==> √2 is NOT rational 
Q.E.D


POETRY!

I'm sorry, really.
I hadn't meant to bother you by
Messaging you everyday for a week,
Each following one more frantic than the last,
Because you wouldn't respond.

I was scared.
Really, really scared.
Scared that you had done something to yourself...

Scared that, maybe, you
Stayed in bed too long
Cut too deep
Went too many days without eating
Too many days skipping your meds-
Or maybe, took all your skipped pills all at once---

It's irrational, I know.
I'm sorry.

...

I remember, I've done this before,
I was... 10, it was 2020.
I remember, my best friend, Kaydence, wouldn't respond to my texts
for a month.
We had fought,
It was some stupid Minecraft game.
And then, she just
Stopped texting
Back.

I was lonely, it was quarantine after all, and I didn't have no one else to talk to.
I texted her every single day
Cried every single day.
I was being dramatic, obviously,
I'm always so **** dramatic.

When she came back, she acted like nothing had happened.
Her mom had just taken away her phone, or something.
I didn't have to worry.

...I think that month I spent, alone,
Thats when it had started to get bad.

...

When you did respond,
you told me that you were sorry.
That you were
alive.
I think you understood where my worry came from.

I asked you where you had been,
and you said that you were just doing school and sleeping.
It was another depressive episode.

Oh, well.

I feel bad to feel relieved,
But
It could've been worse.
You could've
Cut too deep
Or stayed in bed
Or skipped your meds
Or taken too many...

You could've
Left me.

I said sorry for being such a bother,
Said that "I hope you feel better."
And even though thats not quite right thing to say,
But I think that's the closest I could've gotten.

I'm sorry, really.
I hadn't meant to bother you by
Messaging you everyday for a week,
Each following one more frantic than the last,
Because you wouldn't respond.

I was scared.
Really, really scared.
Scared that you had done something to yourself...

Scared that, maybe, you
Stayed in bed too long
Cut to deep
Went too many days without eating
Too many days skipping your meds-
Or maybe, took all your skipped pills all at once---

It's irrational, I know.
I'm sorry.

Brush painting his features
Irregular
Heart aches
Skin itches
Irreparable
There's still war outside
Irrelevant
Feels likes I'm lost in him
Irresponsible
Soft touches
Steady steps
Irremovable
His smile, his smell, his secrets
Irresistible
Intertwining our lives and bodies
Irrevocable
Strong presence, whispers, support
Irreplaceable
All of this is so ethereal

Irrational

A human jumps over the other side of the wall
the pi was on the way, abyss of decimal ocean
kept expanding deep and wide but the formula
was handy on her hand she could nail it down.
Perfectly squares the circle, the ocean in a drop
and peeps up over the irrational chasm for good
scaling at the highest high Fathima moons!
.
Deduces straw by straw the maestros' dream ascension
potion-polished taking Ma pauses in liminal crescendo
between past and future, here and hereafter, circle duo.
Limning out chiaroscuro in light and shadow
oh, nothing is like it in plain sight or the world in toto!

Raw Fathima moves on the shadow nature follows
clustering atoms ever spin in the space in between the two
impossible to fathom, couldn't do in Makkah and Medina,
remained untouched, uncharted while there she was living
in encrypted fashion wholly secured yet full functioning! 
The intelligent design, blueprint is in her elements
and the breakthrough exponent is in her eyes
she is the original can show the way.

Truly the only one feminine zoom passes the irrational pi,
the most complex chasm yet mathematically goldmine.
Beyond the mass eyes and their painting canvases
in the daylight that get lost though at the twilight but us
are victorious; since a human being bears the moonlight!

The night at the twilight may take the sun into its veil,
as a little mole into its star-vanishing fathomless trails.
The rainbows are already shaded into Fathima’s black hair
bolder than the dark matter that has the cosmos
glinting off it’s edge, the story goes on for the mass
‘Paint in bold black before the sunrise’ Fathima matters.

Yesterday was a grilled cheese
Cheesy, hot, delicious, and simple

Today is boring
A chicken cutlet on a hero
With nothing on it

The next day is not what I ordered
I taste ketchup and mayonnaise
In my turkey, egg, and cheese on a roll
I could’ve changed it,
But threw it away instead

The day after that
A tuna on whole wheat sliced bread
I got it on a hero instead
Since I wasn’t that hungry,
I shared half of my sandwich
With a homeless person
Not like I had anyone else
To eat with

After that day
Was a PB n J
Only I tasted no jelly
Not sweet. Not a big deal either.
Peanut butter and bread
Was good enough to carry on

It’s the least of my worries
Taxing my car
Or saving up for a house
Or remembering that thing
I was supposed to remember
Or anything really
Or passing that test
Getting into that school
Acing that interview
Getting that job
That pays enough
That allows me to progress
Progress?

I hadn’t even thought about that.
I hadn’t thought about any of it.

I think
about one thing
I obsess
I compulse
Or do I?
Is what I do when I
Think about that thing
I always think about
A compulsion?
Because if it’s not then
Can it be called
OCD?
And if it’s not
That means it’s me
And the thing I always think
About
is true

I know it’s irrational
But what if it’s not?
Maybe it just makes me feel better
To think that it is

See, who has time for rational worries
When you’re so full up with
Irrational one’s?