Submit your work, meet writers and drop the ads. Become a member
 
363 · Mar 2021
Abstract algebra (notes)
Michael T Chase Mar 2021
The difficulty of visualization comes from 3-ness which gives rise, as Lao Tzu said, to everything-ness.

More depth of understanding of math could come from breadth of sources.
Autodidactic
360 · Feb 2021
Empty
Michael T Chase Feb 2021
Business, it takes the love out of everything, but gives so much spirit.
353 · Apr 2021
Differentiable Manifolds
Michael T Chase Apr 2021
If it doesn't matter spacially whether there is a 1st or 2nd, etc., connection, then this matter shouldn't matter within reason.
As long as a connection is made or not made, that is all that will stand out.  
The kind of connection made cannot be spacially signified except via overlap or by tangency, so therefore, within reason the kind of connection made should not stand out either.
Therefore, this subject of topology is really a matter of 'connect the dots'.
autodidactic
337 · Mar 2021
Self-math
Michael T Chase Mar 2021
The idea is to learn math without losing ingenuity, curiosity, questions, and doubt.
Autodidactic
334 · May 2021
4 am Ascension
Michael T Chase May 2021
All mathematical equations
from differential equations
to quantum field theory
to string theory,
have a backdrop,
i.e. can be read as,
a series of fractions
with differing numerators
and denominators.
Self-study

This works, of course, along with set theory.
331 · Apr 2021
Circles
Michael T Chase Apr 2021
My math proofs are just as circular as my belief in God.
Autodidactic
Michael T Chase Mar 2021
Truth is a limit that is approached from any direction.
The only 3D limit would be a mirrored limit where every direction I would turn would be the mirrored limit.
This can only be found in belief, for belief always tends to the belief unless another belief is mirrored.
Therefore, the diversity of belief is more about keeping a limit than keeping the expansive idea (belief) that sets the limit.
Or else everything is truth?
326 · Apr 2021
Found out i wasn't dumb
Michael T Chase Apr 2021
I just use constructive proofs, which creates or gives a method of creating an object.
I use intuitionistic logic by not using the law of the excluded middle where either the proposition of its negation is true.
I use the law of non-contradition and law of identity.
Or, maybe I just use a lot of fuzzy logic, which utilizes data that is vague or imprecise.

I found a reason to continue.
autodidactic
301 · Nov 2022
Dark
Michael T Chase Nov 2022
Walking through the house
putting my coat on
smoking on the porch alone
297 · May 2021
Another chunk
Michael T Chase May 2021
The soul is Calabi-Yau
every quality of topological string theory
correlates to the workings of my consciousness.

String theory,
I used to refuse,
but from topological soul,
to spacetime soul,
finally to what is here expressed.
Auto-Learn
293 · Jul 2021
Still house
Michael T Chase Jul 2021
My brain capacity
dwindling to
3  hours of study
per day.

What do I do with
the time off?

Do I sift the internet
for diamonds?
autodidactic
288 · Mar 2021
Math fun
Michael T Chase Mar 2021
Differential manifolds are like levels of a video game where the character levels up their weapon upon arriving on each new level.
Autodidactic
284 · Mar 2021
Sparks
Michael T Chase Mar 2021
So much is dependent on personal initiative.
Truth goes unread because it has to do with someone else's answer and not mine.
What has consensus done to the world but created a unified vision?
Consensus is really only reached through personal knowledge and awareness of the aspects of the vision of the world.
So if I see another reaching for an answer, it might be beneficial if I reached for it too.
Realizing my need to search
281 · Mar 2021
Keep on keeping on
Michael T Chase Mar 2021
Even if math isn't making much sense, I still must find a path of sense through it.
Trudge, trudge.
Trudging means lifting my feet out of the mud every time I take a step.
The mud can get thick, taking more time between studies to approach with a fresh perspective.
278 · Mar 2021
Bayan
Michael T Chase Mar 2021
What the Bab said there are endless insights in every book, he also meant math books.
Seeing the layers is knowing the infinite.
278 · Apr 2021
Alan Turing
Michael T Chase Apr 2021
Every day in math I face the halting problem:
whether I can finish a proof,
or whether I will go on trying to prove forever.
At any given point
all problems become an undecidable problem.
Time for a break.
auto-learn
276 · May 2021
Whoever said...
Michael T Chase May 2021
that I have to do math problems to understand it,
doesn't realize that doing unsolvable problems still leaves me confused.
And I'm back to where I was before I did the problems (okay not really),
but there is nothing wrong with note taking, watching, listening, and reading math without problems.
THere is nothing wrong with reading, writing, listening, and watching math without problems.
"There's a point where you know just enough to be dangerous, but not enough to fully understand."
273 · Apr 2021
Language of the Birds
Michael T Chase Apr 2021
The sparrows' tweets attune to my very soul.
The crows' attune to my very quest.
Muhammad, pbuh, said that crows repeat the first Surah of the Quran when they squawk.
(smoking on the porch)
271 · Jul 2021
Anguish of mortality
Michael T Chase Jul 2021
"Only a temporary awareness can know something finite."
~Robert Spira
271 · Mar 2021
Mystery
Michael T Chase Mar 2021
In theory reductionsim,
I would say that what is central to contemplation is mystery.
Does it have to be called zen if I never officially learned it?
254 · Mar 2021
Undone
Michael T Chase Mar 2021
The road to expertise first means that only one concept must be right to prove a solution.
Like leading a child on its way.
Autodidactic
252 · Apr 2021
Why the fog? I know:
Michael T Chase Apr 2021
The fog of math is boggling.
Like zero multiplication
or zero addition
if next to another element.
On the one hand, duh, multiplication.
But I'm made to ask:
what are the implications of addition.
The fog always, always castes the fundamental and more basic aside.
autodidactic
252 · Apr 2021
Secrets of Magic
Michael T Chase Apr 2021
Math is a kind of "Chaos magic" - look it up.
How symbols are used, determines the effects from doing it.
D- or F material for a school, but sublime sunshine autodidactic style.
248 · Mar 2021
Oh, yeah
Michael T Chase Mar 2021
Solutions in differential topology simply must include one or two definitions which are building blocks to the given solution.
In other words, they don't have to reinvent the wheel of mathematics.
Note to self: I was doing it "right" all along.
Autodidactic
242 · Mar 2021
Tanka #1
Michael T Chase Mar 2021
Daughter's presence flows.
All between love and sorrow.
Mind lived so simple.

Will she be caught in the tide?
Dear, ponder your reflection.
231 · Apr 2021
Autodidactic
Michael T Chase Apr 2021
My understanding is three chapters behind in my hind brain, and three chapters ahead in my forebrain.
So much for linear thinking.
229 · Apr 2021
English
Michael T Chase Apr 2021
knowing is a verb
to know is present tense
known is past tense
219 · Mar 2021
Multilinear algebra
Michael T Chase Mar 2021
Multilinearinear algebra is like the guy with the three cups and the ball.
I have to pay attention to where the ball goes except I have to base it on logic not perception.
Autodidactic
219 · Mar 2021
Hello Poetry
Michael T Chase Mar 2021
Post your poem so I can share my thoughts, she says.
That child that gets to share at show and tell in kindergarten.
I get to talk to everyone about me, that little boy says.
All proud of himself.
Is it a hidden world where I am a star?
When will it be the other kids' turn for show and tell?
When I'm interested, he maintains.
This world is about me when I focus on me, and about them when I focus on them.
Is there a place not to share?
Does this mean I listen to others by not sharing?
Well, it certainly sets the ears to others than myself.
217 · Mar 2021
Thank you
Michael T Chase Mar 2021
The object of meditation is to attain a why-less insightful personality.
Like everything is "its own cause".
Life has become disenchanting by the common awareness of my real familiarity with it.
My thinking of "what is the need of this or that" is truly a mark of low intelligence, or a common sign of age.
Thanks to "The Little Book of Atheist Spirituality"
Michael T Chase Mar 2021
Math is appropriating the qualities of form so as to make generalizations about their interactions.
Like saying W=wisdom, l=love, and s=speech, then I could say W(l,s)=Wl+Ws.
Here wisdom acts as a qualitative change of l and s together.
Or, W(l,s)=Wl*Ws.
In this way wisdom act as a multiplier, but it could get trickier if wisdom acted as both a multiplier and a qualitative change.
So I could ask how I could represent that.

The difference is that wisdom has no physical representative.
Whereas stating V, a smooth vector space, has elements (e1,...,en) automatically gives a representation.
Functions onto this space would be characterized both by its definition and representation, much like the term "running".
What seems difficult is adding more and more verbs together to form other verbs, where these verbs have a whole list of what is included.
Also, why would two different symbols, like walk and run, have similar qualities?
Or, why would two similar definitions, like escort and escrow, have different meanings?
Thus, although math is said to be a universal language, it still is a nuanced language, and the number of years and hours spent learning it is directly related to its familiarity.
autodidactic
214 · Mar 2021
Good
Michael T Chase Mar 2021
I knew my love could not be true, so I gave you a ring to declare immortal friendship.
I have put away my desire.
Now I am empty.
212 · Mar 2021
Confused
Michael T Chase Mar 2021
Math, from addition to tangent bundles, is more like every principle is of the same level of complexity.
It is only adding to others that makes them confusing.
Autodidactic
210 · Mar 2021
Math notes
Michael T Chase Mar 2021
Problem solving is about mental checklists:
1. Getting the "groceries";
2. Not getting munchies.

In divine revelation, two explanations go together if they are on the same subject.
If not, they usually are counters of each other in my heart, unifying only in wisdom.
Or, they can never morph their qualities into different ones.
Same for linear algebra.

In Plato's pedagogy of music, philosophy, then physics, math progresses from simple sound differences, to logic, to matter and space, because these mirror denser aspects of reflection requiring greater precision.
210 · May 2021
Yep, yep, and yep
Michael T Chase May 2021
Whatever is most left out of a class is what the equilibrium of ignorance will revert back to.
So choose what to leave out.
auto-learn
210 · May 2021
Chunk
Michael T Chase May 2021
Wow, understanding the concepts of half a differential equations course online
completely integrated five years of physics concepts
along with all my self-study of calculus and manifolds.
Yet still I march on.
auto-learn

"increase my wonder at Thee"
209 · Mar 2021
Micro
Michael T Chase Mar 2021
Math is common sense spatial reasoning put into a shifting and reshifting of the "five":
Commutative
Distributive
Identity
Inverse
Associative laws.
Sands of time gets sandier.
Autodidactic
208 · Mar 2021
Read between the lines
Michael T Chase Mar 2021
Math notations are complexified simply to add more words to the math language.
Autodidactic
202 · Mar 2021
I'm on a plane
Michael T Chase Mar 2021
Sometimes the clarity of a geometry is only appreciated by learning symbology which skates around such form.
Autodidactic
201 · Mar 2021
Reading mathematics
Michael T Chase Mar 2021
Some lights don't come on until a few more knobs are twisted.
Autodidactic
196 · Mar 2021
Maths creator
Michael T Chase Mar 2021
The creator of math must be seen as logic and not inspiration or God.
When these three are confused there is no solution.
Autodidactic
182 · Mar 2021
Play the notes
Michael T Chase Mar 2021
Math is the most complex musical instrument.
(Fumble)
Autodidactic
181 · Mar 2021
Learning communication
Michael T Chase Mar 2021
Getting help with an answer can often remove any need to think.
Except the need to think about how I could remember how to solve it the next time.
Often I've unknowingly believed that there is a disjunction between common sense and reasoning because I've believed that my common sense was no help.
In reality it was just a lack of communication between common sense and reason.
Learning helps the brain communicate within itself.
It is not merely learning more, but the ability not just to see connections, but communicate them.
Autodidactic
177 · Feb 2021
Life Story
Michael T Chase Feb 2021
How do I put away words when they can spread maturity?
How can I exercise deeds when wisdom doesn't call for them?
How can thoughts ever have effect if they are not cognised into words or deeds?
How can objects of the macro level ever be justified if they are not used at the macro level?
How can minutia ever be justified if they are not employed in technology?
A quantum computer on every phone or in every home by the time I die!
How can prayer ever be worthwhile it doesn't inspire these things?
Who will be an exponent of knowledge in a field of ignorance where each person must criticize another knowledge to build up there's?
The school of life is full of naysayers.
It is also full of special interests who wish to keep me questioning the dignity of dignified politics.

The world needs unity, our President has propounded.
Yet who am I to set forth ideas for laws?
I am a vessel for love, for idealism.
How do I spread idealism, when my deeds say "moderation"?
Smoking cigarettes, non-alcoholic beer, **** art, *******, and God forbid: coffee!
On the other side: vitamins, vegetarianism, exercise, meditation, martial arts, math, and science.
For some reason I have a picture that idealism equals fundamentalism.
When in reality idealism is love and unity.

When spoken of as love for God shared with others, love can be a foreign word.
If God can never, ever be fully seen or known, wouldn't the only love of God be love of humanity?
Also, when knowledge is the main focus of life, love loses meaning and love is love of knowledge, while any other love than this is petty.
There is also love of excellence.

From a child it was the admiration of a kind one, an athlete, a musician, and artist.
It soon turned into a love of companionship, both friendship and romantic.
Yet due to my diverse nature, I found no one to share a moderate life with.
So I turned to companionship centered on alcohol and drugs.
Then I finally realised it was really just love of drugs that kept us together, and that without them I was as nothing to them.
So friendship ext became a sort of intuition.
The institution of religion.
Where even the proximity of a religious person was as dear friendship to me.
And any differences between us were joys of freedom of belief.

Next, without school or work I was as an outcast, because religious friends are interested in my work for humanity or too often an outer institution of knowledge.
With no compass for even writing down my thoughts to give me confidence, I did the only thing I could: I copied an Isaac Asimov introductory physics book word for word.
Physics my senior year created such a love for physics that my only dear expression was in copying that book.

Then, one night I realised I could copy Holy Scripture to strengthen my virtue.
And with one copy of a verse, my world came caving in.
My newfound spiritual power found the only avenue for my ignorance in violence toward my father.
I was hospitalized for mental health at 19.
First I argued with the staff thinking I didn't need medication.
Then I realised that cooperation was the only road out of the hospital.
I became docile and sedate.
My first day out my father recommended that I start his style of meditation.
Previously I had wanted to do my own style of meditation, but when I shared my insights with him, I was met with: "That's not what so and so teaches".

Now I found myself docile enough to begin his meditation.
After three months I felt focused and one-pointed.
After 18 months I had my first enlightenment experience.
Then, after I continued, The meditation started to make my strong and capable virtues waste away.
I was, unknown or rather known to me, a prisoner of my meditation.
My fields of study changed form music to philosophy and religion.
I moved away from home.
I worked unrelated jobs.
Then, due to my interest in spirituality, I entered an unaccredited spiritual school.

They challenged me to practice different techniques of inspiration, meditation, concentration, journaling, and diet.
I felt it was time to change my meditation practice which I by then had fully assimilated form my father.
But now I differentiated form him.
I used my own eyes like they had never been used before.
I finished a higher college degree.
I got married.
Then I was tested harder than I ever had been, and still never was.
I battled for normalcy by going off my medication ending up estranged in jail, only to come out with a wife who filed for divorce.
With her unforgiving and weak heart, never wanting to see a husband go through such tests again, the marriage ended.

I at once felt cut off from the world and became depressed.
Now on two meds I once again managed my life on my own.
I worked while going back to school to study electronics.
Afterwards, my interest in physics grew and grew.
I devoured all I could in my free time away from my job.
Then work was taking me too far away from my studies, so weirdly enough I had a back/hernia problem at work, which caused me to quit.
That same week my roommate, a best friend, had moved out of state, my cat who was catching mice for another fiend wasn't allowed back into my apartment by management, and my grandad had died not too long before.
I was weak, exhausted, felt displaced, and companionless.
I immediately took a 90-mile Uber trip to my dad's.

He let me study without a job for three months until I felt my life wasn't progressing without a job.
Two jobs later I find myself as a dishwasher/deliver/food prep worker at an upscale restaurant.
With blue collar humor mixed with female energy, it is quite exciting on busy nights.

Almost 21 years since I finished my first physics class, with an electronics degree, and over six years of self-study, I have little to show the world of my love for this knowledge of math and physics.
With Grassmannian geometry, momentum event horizons, and galaxies moving in all directions at all accelerations, with the inconceivability of witnessing a graviton, and the cover up of the US government reverse engineering extra-terrestrial technology.
With local laws helping free us from the grid being squashed by state governments, and thousands of secret patents, and inventors killed.
I can hardly make any ethical movement in technology and science without first coming to terms with the Native American, Black, and Hispanic brothers ans sister being systematically devalued, while women don't have equal pay with men.
So my mind wishes to grapple with science while in reality that path can hardly be entertained, or entertained only as an outlet for curiosity.

Meanwhile, seeing with my own spiritual eyes, my meditations have developed into a kind of zen, although I have no formal teaching in it.
169 · Mar 2021
Multiinear algebra #2
Michael T Chase Mar 2021
...is like accounting.
Is more abstracting of the brain than calculus.
What's missing from it are the visualizations of what is being mentioned.
Like working with a space in the mind that can only make one or two changes at a time - giving logic but not seeing the big picture.
Unless the big picture is really only those one or two changes in the symbology and equalities.
But these only tell relations of 1-2 changes connecting and spreading like a web.
159 · Mar 2021
Problem solving
Michael T Chase Mar 2021
Like reading among other things, problem solving starts from a child, so not until every small problem is solved on the way to the big one, will there be a real answer.
That's why some children keep asking "why?"
157 · Mar 2021
Deep but so basic
Michael T Chase Mar 2021
If I can make a logical pattern with the elements of a problem which is better than what I had before attempting it, then I've "solved" it.
At least for now.
Autodidactic
150 · May 2021
Just F*** off Bruce
Michael T Chase May 2021
Liberal arts will always seem to carry forward messages which are unpalatable to a mathematician, except rules of language and the enactment of equal rights.

I probably did drugs and injured my brain so that I could love liberal arts and get the full breadth of life.
Now I find once again its inexactness revolting.
All their words are dependent on the right feeling, at the right time, in the right place.

It is so true that I write my own narrative, and it won't be until my last breath that my highest ideal is vindicated.
Yet now this very poem on this very website makes these implications hypocritical.
140 · Oct 2021
Unclothed heart
Michael T Chase Oct 2021
The Greatest Holy Leaf
wears me out.

My body sits by
the door of your soul.

A countenance with
no sore.

A woman that
keeps me a boy.

A woman in
sackcloth.

How can I know
the Greatest Holy
Leaf's sorrows?

She was old
at my age.

She lived with
a dry mouth.

And ears burning
by the out-door
winds.

She is tethered
to a glass.

Her eisegesis hidden
from anyone's
ear.

She was queen
of heaven and
earth.

Her face talks
of cool waters.

She is a master
of the heart.

She was eaten
by the raven
of envy.

Her true supernal
eyes betrayed
by a thousand
rulers.

A hundred thousand
scholars reduced
her soul to nothingness.

A myriad sages
clouded her
mind.

Her sword of
wisdom sheathed.
Baha'i
136 · May 2021
16.66% quiz
Michael T Chase May 2021
There is a difference between the language of math and the calculating of math.
Calculations prove knowledge of lower levels.
Language of math proves knowledge of higher levels.
It is the difference between reading topology and being able to reduce it.
It is the difference of reading a differential equation and solving one.
Reading is connected to concepts while calculations are based on pushing buttons.
"Stop teaching calculating.  Start teaching math." ~Conrad Wolfram
He says I should think about posing questions in the real world (or the holographic one).
University still hasn't become up to date.
I'm through with CouseEra.  Just non-tested reading and non-tested videos for me.
Next page