Maths, Category Theory and The Bio-Catalog

What is Category Theory?

Before we get to our key question, what makes #Mathematics an Apologetic?

https://www.hup.harvard.edu/books/9780674009707

 

What is Category Theory? (INTRO):

https://youtu.be/eXBwU9ieLL0

Can you say “morphism”?

You can use #Rings #Halos or #Slanted_Loops to transform a circle into a donut (torus).  Circle → Torus (@ 6:00 mark):

https://youtu.be/eXBwU9ieLL0

 

Category Theory with #Stick_Figures 🕺 

https://youtu.be/FQYOpD7tv30

A #Category consists of a group of objects (e.g. topological spaces), morphisms (maps or arrows) and composition s.t. the Associative Property [(fg)h=f(gh)] and Identity Property (Ia=aI=a) hold.  If you take your #Hyundai_Palisade and drive it thru the #Car_Wash it does not turn it into a Mercedes (which are popular w/ ladies in their 80’s). ☺  The same goes if you driver ur car backwards through the car wash!

Here are some examples of Categories and their morphisms: groups* → homomorphisms, vector spaces → linear transformations, Posets → Orderish Functions and “DJ Smooth Man’s” → smooth maps. ☺→🕺

A #Poset is a Partially Ordered Set.  For example, the Real Numbers along with the relation “less than or equal to” ≤ #LTE

https://math.libretexts.org/Courses/SUNY_Schenectady_County_Community_College/Discrete_Structures/12%3A_Boolean_Algebra/12.01%3A_Posets_Revisited

 

Here are two examples in lattice form …

Categories have common structures, hence #Category_Theory

Inventor (Discoverer ♫) credits go to Eilenberg & Mac Lane (1945) and their paper “General Theory of Natural Equivalences.”  The key idea was natural transformation.  “Functor” comes  from Carnap and “category” from the philosophy of Aristotle, Kant, and C.S. Peirce (see below), but redefining it mathematically.

https://plato.stanford.edu/entries/category-theory/

Speaking of Aristotle, what about his #Biology ?

Let’s switch gears to #Natural_Transformations Categories of Life, The Biological Catalog and #TrueTruth

This is Aristotle's Biology - limited variation within Essential Types of Life (ETL's) - horses, hydras and humans, for example.

Here is my paper on Academia:

https://www.academia.edu/40897603/Biological_Essentialism_A_Minority_Report_Jay_Hall_

I've written a whole book on the topic that came out two years before Devitt's work (Oxford Univ. Press):

www.barnesandnoble.com/w/biological-essentialism-jay-hall/1140135320

If your Father was a turtle and your Mother was a turtle, then you are a turtle.  In addition, all your children will be turtles.  The entire group is of the same Natural Kind (ETL).  Some scholars are #Brave enough to stand up against #Big_Science and oppose evolution.  Nathan Jeanson (Ph.D. Cell Biology – Harvard) for example:

https://answersingenesis.org/store/product/replacing-darwin/

Mathematician David Berlinski also opposes the standard narrative on origins.  An example closer to Darwin's time is Charles Sanders Peirce (d. 1914), who was a pioneer of symbolic logic, set theory, probability theory, semantics, and semiotics.  He rejected #Darwinism and contrasted the “Gospel of Greed” (Survival of the Fittest) with the “Gospel of Love”:  

 

The movement of love is circular, at one and the same impulse projecting creations into independency and drawing them into harmony.  This seems complicated when stated so; but it is fully summed up in the simple formula we call the Golden Rule. … [It is not] Act for the greatest good of the greatest number.  Love is not directed to abstractions but to persons; not to persons we do not know, nor to numbers of people, but to our own dear ones, our family and neighbors.  "Our neighbor," we remember, is one whom we live near, not locally perhaps but in life and feeling.

https://www.academia.edu/21766227/On_Peirces_Theory_of_Evolutionary_Love

 

FYI: Physics vs. MetaPhysics …

https://www.magiscenter.com/blog/difference-between-metaphysics-physics-limits

 

*But Math never applies to the #Real_World ?? …

Lie Groups & Quarks: 

https://www.ckoerber.com/media/professional/Koerber-SU3-Physics.pdf

 

my site: https://totalyouth.us/

 

Note: The last chapter of my book Biological Essentialism makes the case that bio-essentialism naturally leads to the #Young_Earth view.

www.barnesandnoble.com/w/biological-essentialism-jay-hall/1140135320

 

** kudos – graphic sources:

https://chatgpt.com/c/6a79534b-8554-83ea-96bb-8a35bf054ff7

https://avatars.mds.yandex.net/i?id=41e11153a2142a69e6b9f1333f83540fd3984a2f-5285349-images-thumbs&n=13

https://www.shutterstock.com/shutterstock/photos/793083208/display_1500/stock-photo-detail-view-on-car-wash-car-wash-foam-water-automatic-car-wash-in-action-793083208.jpg

https://people.math.osu.edu/cogdell.1/6112-Eilenberg&MacLane-www.pdf

https://calcworkshop.com/relations/lattices/

https://tse3.mm.bing.net/th/id/OIP.rCNQ9NLeKyZH_J6FHCVtXQHaFn?r=0&rs=1&pid=ImgDetMain&o=7&rm=3

https://en.wikipedia.org/wiki/Category_theory

 

#Category #Categories #Category_Theory #Maths #Math #MathZ #Mathematics #Tour_ofthe_Calculus #Hyundai #Palisade #Car_Wash ♫ #TrueTruth #Schaeffer #Total_Youth “for Total truth, support earth’s Youth” #TotalYouth_US #USA #Free_Math ! #Get_Reals ## #FISH 🐟 #natural_kinds #Putnam_n_Kripke #Gospel #JN316 ╬ #Heaven ↑ Sinner→Saint #Physics #Metaphysics #Aristotle #Philo #Philosophy #think #nachdenken #CS_Peirce #SymboliX ELSE (A→B)∧(¬A→C) #evolution #Darwin #Darwinism #Genesis #species #Biological_Essentialism #Bio_Ess #jay_l_hall #identity 0*0 = #Her0 ☺ #MATHIS #fun (& furniture) #F_U_R_N_I_T_U_R_E ☺☺ #Golden_Rule #God #Jesus #Bible #BB6640 ╬ #Day6 🕺 #lattice ♦ #morphism #objects #ObjekT #ini RU feelin’ #IRAY ?? “Wow ima Tree!” #Geometry #TOP #MAN #Top_Man #Mark_Steiner #Apologetic #Apologetics #ApologetiX ♪ #Mighty_Morphin_Power_Rangers #MMPR #Angel_Grove #Zordon #NodroZ #Rita_Repulsa #ZED #Z #zz #Mt26_36to46 c + @ = #CAT #Got_CATs ?? #Berlinski #Eric_Metaxas #Socrates #So_CrateZ #essentialism M/F #cuántos_baños #Crevo #Creationista #GEN1to11 #GIII #Fuzzy_Wuzzy hair→nohair bear→bear (not alligator!) #DEVO ↓ #Eilenberg #MacLane #Year1945 #WWII #Operation_Mincemeat #Sicily → #Sardinia = #EQ #Young_Earth_Science #YES #Geology #geochronology #radiometric ♫

Biological Essentialism - It's What's for Dinner

What is the opposite of evolution?  It's biological essentialism - this is the view that crabs have always been crabby and frogs have always been froggy and that they do not have a common ancestor.  That is, Essential Types of Life (ETL's) vary within limits.  A mutation in myostatin causes some cattle to have uncontrolled muscle growth.  BYG = Buffalo, Yaks and Gayal.  Thus, we see a wide variety in cattle, but they all compose just one ETL.  Is Big Science wrong on origins?   

 

Have you ever dreamt that you evolved into a more advanced creature than a human?  That's the only place where you might see evolution in the sense of "mega-evolution" (e.g. reptile-to-bird) ... in your dreams.  Can monkeys run the circus?

 

David Gelernter (b. 1955), Computer Science Prof at Yale, is brave enough to question Darwin:

 

Darwinian evolution is a brilliant and beautiful scientific theory. Once it was a daring guess. Today it is basic to the credo that defines the modern worldview. Accepting the theory as settled truth - no more subject to debate than the earth being round or the sky blue or force being mass times acceleration - certifies that you are devoutly orthodox in your scientific views; which in turn is an essential first step towards being taken seriously in any part of modern intellectual life.  But what if Darwin was wrong?

Peter Robinson (UncommonKnowledge) interviewed Gelernter.  David Berlinski, who supports biological essentialism, was also part of the discussion.  Berlinski's pro-ETL stance is clearly seen in his latest book HumanNature.

Now, biological essentialism naturally leads to Young Earth Theory Intelligence (YETI).  That is, there never was an "age of fishes" or "age of dinos" since all basic forms of life existed at the beginning.  This implies that most of the rock deposits were part of a single cataclysmic event which in turn requires a massively condensed timescale. 

 

Have mainstream journals published research that favors a youthful world?  YES! ... check out my blog from October 2020.  In addition, the Philosophical Society of Great Britain (Victoria Institute) published a paper by Dudley Joseph Whitney providing evidence for a young earth in 1933.  Interestingly, in one episode of Doctor Who, Queen Victoria starts an institute (Torchwood).  

      

What are the fruits of Darwinism?  Lenin, the Third Reich and Mao’s Great Leap Forward (~40M deaths) among other tragedies.  Ideas have consequences.  In contrast, Lord Kelvin, who rejected Darwin, said this: "The more thoroughly I conduct scientific research, the more I believe science excludes atheism.  If you think strongly enough you will be forced by science to the belief in God, which is the foundation of all religion"

 

#QueenVictoria #Torchwood #DoctorWho #YoungEarth #YETI #BiologicalEssentialism #ETL #Gelernter #Berlinski #UncommonKnowledge  #HumanNature #Whitney #Big Science