reperiendi

Theocosmology

Posted in Theocosmology by reperiendi on 2009 July 31

A little article considering the implications of the assertion that spirit is matter.

Ankylodoxy

Posted in Theocosmology by reperiendi on 2008 June 17

I started a blog to record my Gospel Doctrine lessons.  It’s called ankylodoxy, as opposed to orthodoxy.

Uto-Aztecan links with Hebrew

Posted in Fun links, History, Theocosmology by reperiendi on 2008 March 8

http://farms.byu.edu/display.php?table=jbms&id=112

Some excerpts:

“Also worth noting is the relative strength of comparative linguistic evidence. The nature of comparative linguistic evidence provides large bodies of data—several thousand words per language—that is nonforgeable. Ruins and buildings yield some facts, though who built them is not always one of the facts revealed. Words of a translation can be debated endlessly, and written records can feasibly be forged, but no one can fabricate a language family of several Native American tribes speaking a variety of related languages…

“In addition to numerous lexical similarities, some features of Northwest Semitic morphology are still productive in UA, i.e., are still functionally active, such as the masculine plural suffix and niqtal prefix, while much more is fossilized, i.e., nonfunctional “frozen” patterns are detectable such as the feminine plural, qittel forms, hiqtîl and huqtal forms, etc. With that in mind, consider a few of some 1,000 identified similarities between Hebrew and Uto-Aztecan…

“Among Latter-day Saint scholars are a few Semitists, to whom queries regarding the validity of the Semitic data can be directed. As for Latter-day Saint Uto-Aztecanists, I know of no others besides myself. Therefore, because it may be difficult for nonspecialists to assess the merit of proposed linguistic connections, it may be well to mention that I have privately shared this material with five Uto-Aztecanists (linguists who have studied and published in UA linguistics) and four of the five were quite overwhelmed at the quantity and quality of the evidence—two spoke very highly of it; two, in surprise, could hardly speak at all after seeing it; and the fifth did not like the proposal generally, but offered no substantive refutations.”

Theocosmology

Posted in Theocosmology by reperiendi on 2007 July 26

The brain is an amazing thing; hypnosis can block pain. There are plenty of hypnosis weight-loss clinics for helping people to lose weight and to quit smoking. As we get more detailed knowledge of the brain, it will become a trivial thing to improve one’s willpower. Instead of procrastinating, we’ll be able to tell ourselves to do something and become compulsive about doing it. No more late homework!

NPR’s science Friday has several programs on memory; in one recent one (that I can’t find), they explained that memories are recreated every time we remember them, with an accompanying degradation of the memory. Details we don’t think are important are discarded and filled with plausible reconstructions; the sudden recall of something you haven’t thought of for twenty years is far closer to the actual event than a memory that you think about all the time. It’s also easy to introduce fake memories, because the brain fills in plausible details in exactly the same way.

They know this because of recent experiments using drugs that interfere with the formation of memory: rather than have the patients try to learn something, and watch how they forget it, they had them try to remember something, which they proceeded to forget even after the drug wore off. Humans now have the abillity to selectively erase conscious memories.

There’s another form of memory that’s subconscious, of habits and feelings acquired through repetition. This seems to be a deeper, more protected form of memory. Clive Wearing, who was once a musicologist, contracted encephalitis, which damaged his hippocampus. He has a seven-second memory. He’s constantly feeling as if he’s just awoken from a dream, having no idea where he is or what has happened to him for the past twenty years. But he can still direct his choir perfectly and fills with joy every time he sees his wife.

It’s probable that we’ll be able to erase or modify those memories in the near future, too.

We admire people who do things despite pain. Words like courage, tenacity, and kindness all apply to enduring in the presence of pain. The atonement is the prototype here: love overcoming pain.

The whole concept of mortality in scripture is predicated on the idea that pain is necessary for progression; it separates souls like a chromatograph separates particle sizes. People who are physically strong become so by exercising and enduring pain. Smart people typically work hard to become so. Barbie was right: math is hard–but at the moment there’s no other way to become so.

If we can remove the memory of pain and decide to remove the pain that stands between us and some desired end, will there be any virtue in the accomplishment? Skousen’s argument for the purpose of the pain in the atonement was to work on the compassion of intelligences. Where does compassion go when we can forget the hurt at will?

Theocosmology

Posted in Theocosmology by reperiendi on 2007 July 23

The View from the Center of the Universe says we’re the first generation that can tell stories about the creation that might actually be true. We should take the mythological imagery we have around us and reinterpret it so that it corresponds to something real instead of something imagined, thus giving people a sence of place in the universe.

Their stories, by most accounts, weren’t very good. But I believe they’re on the right track: stories are how humans understand the world. It’s part of why I like John Baez’ teaching style so much: he tells stories. A search on his site for the word “story” turns up hundreds of occurrences!

Gödel, Escher, Bach talks about string rewrite rules and theorem proving, trying to illustrate the difference between syntax (structure) and semantics (meaning). He states some rules like

xpyqz => sxpyqsz

and then suggests that “sx” is the “successor” of “x”, and thus one interpretation of “p” and “q” is “plus” and “equals,” respectively. But it could just as easily be “equals” and “taken from.” How do we know what a structure “really means?” Does that question even make sense?

Universal algebra is a language for describing simple structures like sets, monoids, groups, rings, and modules (but not fields). Lawvere showed that every algebraic theory corresponds to a cartesian category, and that a functor from the cartesian category to Set gives a model of the theory. The Yoneda lemma says that there’s a one-to-one correspondence between the set of models of a theory and the set of functors out of the theory. So any model has to arise as a functor out of the theory.

This lets us separate syntax from semantics, structure from meaning. The theory is a Platonic ideal that has models in the “real world” of sets and functions. Of course, now that the “real world” has been revealed to be quantum, we should consider functors into other categories, too: a functor into Hilb assigns quantum meaning to the structure. This is how Feynman diagrams are used for quantum field theory: every line represents a Hilbert space of states instead of a set, and each vertex represents a linear operator instead of a function.

Usually, what a structure “means” can only really be answered by considering all of the possible meanings together and looking at the relationships among them. But that’s a very hard task in most cases. It’s easier to have a single, typical instance in mind: what do you think of when I say “undirected graph?” It’s probably an image of a not-so-special graph, not the mathematical definition.

Choosing some example is essential to the way we learn. Adam and Christ, the “last Adam,” are the prototypes used by the Gospel. But there are a lot of details left out.

I’m trying, in these Theocosmology posts, to build up a backstory for my existence, which is the story I’m most interested in; I’m choosing details that may or may not be true, but are as true-to-life, as typical as I know how to make them.

Theocosmology

Posted in Theocosmology by reperiendi on 2007 July 13

Joy, glory, and knowledge

Here’s the passage that refers to element and spirit:

D&C 93:33-34 For man is spirit. The elements are eternal, and spirit and element, inseparably connected, receive a fulness of joy; and when separated, man cannot receive a fulness of joy.

In the Book of Mormon, joy is used almost interchangeably with glory. Nephi says

2 Ne 33:6 I glory in plainness; I glory in truth; I glory in my Jesus, for he hath redeemed my soul from hell.

C.S. Lewis’ sermon The Weight of Glory discussed an apparent paradox:

I turn next to the idea of glory. There is no getting away from the fact that this idea is very prominent in the New Testament and in early Christian writings. Salvation is constantly associated with palms, crowns, white robes, thrones, and splendour like the sun and stars. All this makes no immediate appeal to me at all, and in that respect I fancy I am a typical modern. Glory suggests two ideas to me, of which one seems wicked and the other ridiculous. Either glory means to me fame, or it means luminosity. As for the first, since to be famous means to be better known than other people, the desire for fame appears to me as a competitive passion and therefore of hell rather than heaven. As for the second, who wishes to become a kind of living electric light bulb? (ibid., p. 5)

He concludes that it is the joy of a child in finding favor with his father, being “famous with God.” Being known of God as opposed to the opposite:

In some sense, as dark to the intellect as it is unendurable to the feelings, we can be both banished from the presence of Him who is present everywhere and erased from the knowledge of Him who knows all. We can be left utterly and absolutely outside—repelled, exiled, estranged, finally and unspeakably ignored. (ibid., p. 7)

Spencer W. Kimball said, “Real intelligence is the creative use of knowledge” (CR, Oct. 1968, p. 130. Emphasis mine.)

Hofstadter examined creativity in his book Metamagical Themas (http://tinyurl.com/29v7fq). He talks about Knuth’s Metafont package: in that program, a font has lots of different properties that can be adjusted. There’s an enormous space of letters that can be expressed by these parameters, but they are nowhere close to encapsulating all the forms we recognize as, say, the letter ‘A.’ Coming up with a new parameter, for Hofstadter, is creativity–and yet, ironically, such creation must arise exclusively as the result of some deterministic process. He implies he could not have written any other book than the one he did–but within the book, a few pages away from this claim, he talks about how we continually conceive of worlds slightly different than our own, such as one where the state line between Illinois and Indiana is a few miles to the west of where it is here.

In the section on parquet deformations, he mentions the “flickering” effect of looking at a Necker cube. My brother Doug suggests that agency and qualia are part of the same mystery. We have no idea how perception of shape or color arises in the mind, nor how independent action arises: but we can choose to see the cube with its top toward us or away from us.

In Moses, God says that

Moses 1:39 …This is my work and my glory—to bring to pass the immortality and eternal life of man.

In other words, what God prefers to spend his time on is creating more gods. Even Richard Dawkins couldn’t take offense at that doctrine. God is an adult of the species, a father in the literal sense. What can we guess about producing minds that last forever?

Greg Egan has treated artificial minds and immortality in several of his stories. In Orphanogenesis, artificial minds are run on a computer, and when they become self-aware, the computer revokes all authority for the mind to be modified from the outside; the consequence is that some minds descend into eternal madness. A rejection of truth is a rejection of reality. My guess is that a faulty view of the universe leads to eternal madness–outer darkness–if left unchecked, so in mercy, God checks it.

Was there ever a time or a place where an atonement couldn’t reach? Where all the minds were destroyed? Nephi writes about how we’d share Satan’s fate if not for the atonement in 2 Ne 9. There was clearly fear among the premortal spirits contemplating mortality (Rev. 5:3).

Theocosmology

Posted in Math, Theocosmology by reperiendi on 2007 June 18

David H. Bailey is an LDS mathematician, perhaps best known for his work on the “spigot algorithm” for pi. He has written rather extensively on the relationship between science and LDS theology.

Theocosmology

Posted in Theocosmology by reperiendi on 2007 June 15

Agency and intelligence

So much of LDS theology is focused on agency:

  1. the premortal war in heaven over agency in mortality
  2. the purpose of earth life, a probationary state in which we are “free to choose”
  3. the promise of exaltation, being completely free and empowered to do anything

Lehi, during his sermon on opposition to Jacob, spoke of agents:

2 Ne 2:13,16 … There could have been no creation of things, neither to act nor to be acted upon… Wherefore, the Lord God gave unto man that he should act for himself. Wherefore, man could not act for himself save it should be that he was enticed by the one or the other.

as does section 93:

D&C 93:29-30 Man was also in the beginning with God. Intelligence, or the light of truth, was not created or made, neither indeed can be. All truth is independent in that sphere in which God has placed it, to act for itself, as all intelligence also; otherwise there is no existence.

Elder Nelson treated these verses in the October 1998 General Conference. He follows B. H. Roberts in interpreting the phrase “intelligence… was not created” to imply some portion of our being that God did not create and is the part responsible for our actions; the argument being that if God created the whole of us, then He would be responsible for all the wickedness in the world.

Webster on intelligence:

intelligence \In*tel”li*gence\, n. [F. intelligence, L. intelligentia, intellegentia. See Intelligent.]1. The act or state of knowing; the exercise of the understanding.

2. The capacity to know or understand; readiness of comprehension; the intellect, as a gift or an endowment.
And dimmed with darkness their intelligence.
–Spenser.

3. Information communicated; news; notice; advice.
Intelligence is given where you are hid.
–Shak.

4. Acquaintance; intercourse; familiarity. [Obs.]
He lived rather in a fair intelligence than any friendship with the favorites. –Clarendon.

5. Knowledge imparted or acquired, whether by study, research, or experience; general information.
I write as he that none intelligence Of meters hath, ne flowers of sentence. –Court of Love.

6. An intelligent being or spirit; — generally applied to pure spirits; as, a created intelligence. –Milton.
The great Intelligences fair That range above our mortal state, In circle round the blessed gate, Received and gave him welcome there. — Tennyson.

Intelligence office, an office where information may be obtained, particularly respecting servants to be hired.

Syn: Understanding; intellect; instruction; advice; notice; notification; news; information; report.

Source: Webster’s Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc.

With respect to God, then, intelligence is the act or state of knowing God; the capacity to know or understand Him; an endowment; information communicated from God, prophecy (advance notice) and advice; acquaintance, intercourse, and familiarity with God; knowledge imparted to man by God or obtained from Him, whether by study, research, experience, or direct revelation; and finally, an intelligent being or spirit.

The phrase “otherwise there is no existence” is intriguing: what does “existence” mean? My brother Doug takes a stab at it here, but in math there don’t seem to be “things to act,” only “things to be acted upon.” Even Penrose never dares to suggest that our actions aren’t deterministic.

I’m guessing that agents are the root of existence: agents constrained by physical law but free to choose within those constraints is what “existence” actually means. I’m inclined to follow Skousen to a certain extent in allowing intelligences to govern something like an electron. (See also this thread for some related references.)

Bounce a photon off a semisilvered mirror and place a detector on only one of the two paths. If the detector clicks, murder someone. At the judgement day, is your soul in a superposition of heaven and hell? The elegance and simplicity of the many worlds theory is very compelling, but it seems to conflict with what we’d expect here.

Theocosmology

Posted in Theocosmology by reperiendi on 2007 June 14

Light and truth

The “element” physics of light and truth are interesting. Light (energy) and truth (information) are both conserved quantities (though Hawking had his doubts, he’s recanted). In special relativity, the speed of light is the maximum speed at which information can travel. Rolf Landauer showed in 1961 that forcing a bit to a particular state requires kT ln(2) Joules of energy.

If Maxwell’s demon (James Clerk’s, not Neil A.’s) acquires his information about the particles in the box by looking at them, then something has to be providing the photons; eventually he’ll run out of them and won’t be able to see the balls any more. I think it was Szilard that pointed out that if the demon knew the initial positions and velocities of the particles, he wouldn’t need to observe them, but merely compute when they would pass through the door. As with Landauer’s principle, information can be exchanged for energy.

Algorithmic information theory studies what is computable. The halting probability ΩU of a universal Turing machine U is composed entirely of pure information: any program computing the first m bits of the probability is at least m-c bits long. So except for c bits at the start, every bit of information is a complete surprise, a new bit of truth that can’t be computed from what’s already known. It’s called “algorithmic randomness” because it’s entirely unpredictable, though there’s nothing random in the way the bits are defined. Pure information ahs some nice properties from a religious point of view: it’s not something you can compute from prior information, so it has to be revealed if you’re to know it at all, and there’s no way to prove that they’re right to anyone else once you’ve got them. Truth can be exchanged for light, as explained above. Roger Penrose has famously suggested that the collapse of the wave function is uncomputable (though not necessarily algorithmically random) and is related both to quantum gravity and to human agency. That’s still deterministic, which is a big problem for moral accountability, but has some good properties: behaviors based on uncomputable quantities are self-extant: there’s no prior reason why they should behave that way, if you say a reason is some series of rules applied to previously known axioms (or choices).

Note that uncomputable quantities, by definition, don’t arise through some physical process in time. Perhaps there’s some orthogonal time where infinite computations can run and become instantly available–for example, in Penrose’s toy model, the process of tiling the plane with a given set of tiles has to finish instantly to tell the wavefunction which way to collapse. This sounds rather like Cramer’s transactional model of wave function collapse; I’ll have to look at that more closely.

Doug recently had a post on Chalmer’s argument of perfections:

Consider whether statements (1) and (2) are true: (1) If X is true, then I believe X. If one does not accept this, then one accepts the opposite: one would be willing to state “X is true and I do not believe X.” But that is clearly a contradiction for any particular X. Therefore, we must accept that (1) is true for all X.
(2) If I believe X, then X is true. The negation of this would be saying “I believe X and X is false.” Again, this is impossible to state consistently for any X. So statement (2) is also true for all X.
But (1) means I am omniscient, and (2) means I am omnipotent.

I responded,

Yes, classical logic assumes an omniscient, omnipotent “I”. Small wonder that there are those who feel it’s not as useful as some other flavors of logic!If your definition of truth includes the possibility that something may be “true” without you knowing it, then you’re working in intuitionistic logic. There, they define truth to be “known truth.” Then the only true things are those that you have a proof for and the law of the excluded middle doesn’t hold: if something is not provable, that doesn’t imply that it’s false. In this context, omniscient means “I know all proven things,” which is hardly surprising.

Statement 2 translates as “If I believe X, then I have a proof for X,” which implies omnipotence, as before. Its negation is “It is not the case that (I do not believe X or I have a proof for X).” For example, I could believe X when X is unproven.

Here’s a verse that defines truth as knowledge:

D&C 93:24 And truth is knowledge of things as they are, and as they were, and as they are to come.

This could apply equally well to an omniscient God or to an intuitionistic mortal; we know we’ll be judged on our actions given our knowledge at the time.

President McKay taught, speaking of the symbol of the compass, that “all truth may be circumscribed into one great whole.” All points in the Mandelbrot set lie within the circle of radius 2, but the converse is not true; in fact, it’s unknown whether the set of points is even computable. The complement of the set is computably enumerable. Similarly, it’s easy to come up with sets that include all true statements and a lot of false ones, and the true statements are computably enumerable (just list all proofs in order of length).

Given an oracle to the halting probability of a universal Turing machine, one can compute the truth of any particular statement in a finite axiomatic system. Is this related to the white stone?

D&C 130:10-11 Then the white stone mentioned in Revelation 2:17, will become a Urim and Thummim to each individual who receives one, whereby things pertaining to a higher order of kingdoms will be made known; and a white stone is given to each of those who come into the celestial kingdom, whereon is a new name written, which no man knoweth save he that receiveth it. The new name is the key word.

Theocosmology

Posted in Theocosmology by reperiendi on 2007 June 14

This is the first in a series of posts on my interpretations of various scriptures relating to the nature of existence.

Spirit and Element

First, we’re materialists:

D&C 131:7-8
There is no such thing as immaterial matter. All spirit is matter, but it is
more fine or pure, and can only be discerned by purer eyes. We cannot see it;
but when our bodies are purified we shall see that it is all matter.

Spirit matter is real stuff, interacting via some physical law with the stuff we see. D&C 93 refers to these two domains as “element” and “spirit.”

D&C 93:33-34 For man is spirit. The elements are eternal, and spirit and element, inseparably connected, receive a fulness of joy; and when separated, man cannot receive a fulness of joy.

That implies there’s some kind of physics governing spirit. I think this verse is relevant:

D&C 29:34 Wherefore, verily I say unto you that all things unto me are spiritual, and not at any time have I given unto you a law which was temporal.

Also, in Satan’s statement,

“Yes, a new world, patterned after the old one where we used to live,”

the phrase “patterned after” suggests the laws of element are homomorphic to the laws of spirit.

In future posts I’ll be examining concepts that appear in both domains.

The Atonement, by Cleon Skousen

Posted in Theocosmology by reperiendi on 2007 June 11

I don’t agree with a lot of this, but it’s a fairly well-known talk and doesn’t seem to be anywhere else on the internet. It’s an honest attempt to examine the idea of whether God can be held responsible for his creations’ actions, and what the purpose of suffering is, both for mortals and as part of the atonement.

(more…)

A critical analysis of Vernor Vinge’s Singularity

Posted in Fun links, Theocosmology by reperiendi on 2006 October 4