Hi Levi,

On Tue, Sep 22, 2026 at 7:14 PM Matt Mahoney <[email protected]>
wrote:

> Note: I cut back the CC list to people I think are still following this
> thread.
>

Thanks!

>
> On Tue, Sep 22, 2026, 8:08 AM Levi Dubrovin <[email protected]> wrote:
>
>> My second philosophical question: what is faith? And what is hope?
>>
>
> When you hear a statement 3 times, it is truth. When you hear it 100
> times, it is faith.
>
> Hope is when you believe what you wish to be true instead of what the
> evidence says is true. As animals, we fear death because that behavior
> increases reproductive fitness. So when your priest or rabbi or imam says
> that your immortal soul will go to heaven if you follow his teachings, that
> is hope.
>

This is the conventional psychological answer, masquerading as being
evolutionarily supported.

What I'm trying to do here is to decompose base experience as arising from
a collection algebraic expressions that describe agency, and describe
ingress (using Micheal Levin's (Daniel Dennet's) definition of ingress
(more or less)) If this program is to be successful, then a  description of
faith and hope would have to follow (as a (mathematical) theorem or lemma)
from more basic, primitive algebraic structures. For example, some
maximization of free energy or entropy or mutual information in some
setting, e.g some manifold (e.g. symplectic, where classical mechanics
lives) or ultra-high-dimensional space (where LLM's live) or perhaps very
high dimensional complex projective space (where QM lives) or perhaps a
natural filtration (where stochastic processes live). I'm listing plausible
candidates for where this mechanics could play out.

Can we build faith and hope out of something more primitive? Perhaps, and
we can even use conventional psychology and common-sense intuition to
provide hints for how to do this.

So what is more primitive? I want to focus on two: love and death.

Death is associated with having your atoms scattered to the four winds. In
classical mechanics, this means that your atoms end up on the "unstable
submanifold" (see wikipedia) of a decomposition of a symplectic manifold
into stable, center and unstable manifolds. For an agent to anticipate it's
own death, it would need to have a sensory organ to perceive this.

This "sensory organ" could be reasoning, common sense, gut intuition, some
deterministic algorithm fed by actuarial tables, whatever. I am calling it
a "sensory organ" in order to emphasize the agential model, which has a
boundary between the physical universe, and the platonic realm of
possibilities. When things cross over from the possible into the
actually-existing, this is the (Levin) ingress. Since there is a boundary
between possible and actual, the things that cross pass through a channel
or filter. It should be called "sensory" because the inside is using the
channel to sense what is outside.

Sensory organs not only bring stuff in from the exterior, but the stuff
(information?) that is brought in typically updates the world-model that
the agent holds within itself. That is, the information or prediction
revises the model that the agent maintains for "what's out there".

An anticipated death lies in the future, and therefore in the platonic
realm. The sensory organ perceives some very limited portion of what's
possible.

How might this feel, subjectively? We have two possibilities: the agent is
a philosophical zombie, and feels nothing. The other is that it has a
subjective inner life. In humans, we fear death. Or we become
existentialists, or stoics, or whatever framework that culture has given us
for this very primal sensation. Personal tragedy lies ahead.

But if amoeba and paramecium are also agents, and have a subjective inner
life, how might they sense this? Presumably as pain. Perhaps the water is
too saline, too acidic, too hot, perhaps its drying out. Some sort of
chemotaxis will drive the cell towards a more hospitable environment. You
are free to argue that eukaryotes are philosophical zombies, and have no
conscious inner life. But if they do, it would be sensed as pain.

I'm calling it "pain" because a eukaryote will not have a strong sense of
"self", of knowing that it exists, and thus could not manifest fear of
dying. But it would have a weak sense, where everything sensed is with
respect to self: everything that happens, happens to self. Pain is an
example of a sensation that does not require a strong sense of self.

Is there any kind of sensation that is even more primitive than pain? I
cannot think of one, off the top of my head. Primal pain is anticipation of
harm or death, it's ingress, and it seems that biological agents would feel
it.

I don't know if you like the above, but that's what I got.

How about love? From what I can tell, this stems from a "desire to
communicate". Here, communication is very general. Some examples: atoms in
a molecule communicate by exchanging photons. Bacteria communicate by
emitting and sensing small polypeptides. Slime mold, too. Neurons
communicate by exchanging neurotransmitters in junctions (neurotransmitters
are "small polypeptides", the same thing that bacteria use, but now they
get a fancy new specialized name) Insects communicate, animals communicate,
computer chips communicate...

What's the physical basis for communication? From what I can tell (and this
is pure hand-waving), a pair of communicating systems has greater entropy
than if they are not communicating. In this case, the "desire to
communicate" would follow from the 2nd law of thermodynamics. I call this
"hand-waving" because I do not yet have a mathematical framework for agents
and communication that would allow this "desire to communicate" to be
derived in some statistical-mechanics framework. But, from what I can tell,
*everything* in the physical universe loves to communicate.  It's just very
basic.

How might a subjective agent perceive the desire to communicate?
Presumably, as pleasure. It would exert a force or desire that would cause
the agent to communicate. To "make it want to communicate", the fulfillment
of wants resulting in pleasure. The anticipation of fulfilled desires being
a "want" that can drive action in the present, and influence decisions made
in the present.

Notice that this is ingress, again: the anticipation of a positive valence
outcome is a perception into the future (i.e. into the platonic realm),
using some "sensory organ" (logic, reasoning, intuition or something else)
that "perceives" that if action X is taken, reward Y will follow.  That is
to say, earlier, the statement that "if action X is taken, reward Y will
follow" did not yet exist in the physical universe. Somewhere along the
way, the organism *does* manifest this line of reasoning. Now that this
line of reasoning actually exists in the physical world, as a part of the
organism's world model, it can employ this reasoning chain in making
decisions about future actions.

My apologies for making this sound so very complex. My goal here is to be
very careful to split up between things that do not yet exist (or have not
yet happened), and actions that are taking place "here and now", and how
possibilites turn into actualities.  This precision will be needed, in
order to get the algebra, the axioms to work out correctly.

At any rate, anticipation of future positive valence states should be
subjectively felt as "pleasure". (or desire, as the case may be.)

Can we get to faith and hope from here? Both of these seem to be "fixed
points" in a system of anticipated future positive valence states.  I am
using the phrase "fixed point" in the strict mathematical sense.  For
example, if x is such that x=f(x), then x = f(f(x)) = f(f(f(x))) = ...
repeating the action won't change x.

A "pathway to fulfillment" has the form of "if action X is taken, reward Y
will follow"

"Hope" would "the pathway to fulfilment is not currently known, but it is
reasonable to believe that it exists"

"Faith" would be "the pathway to fulfilment is not currently known, but it
exists".

"Hope" is associated with positive valence, to promote exploration. i.e.
"if an exploration of paths is undertaken, then a path will be found" Hope
tends to be highly motivational: individuals tend to work really hard at
something, if they can maintain that hope of a positive future outcome.
(so, "if X then reward Y" where X==explore and Y==path) Exploration take
time, and thus, continues for as long as this rule is part of the world
model and drives the action-selection mechanism for the agent. Assorted
events can knock this rule out of the world model (subjectively, the agent
loses all hope).

"Faith" oddly does not seem to be motivational. If you have faith that
something will be, you can sit back and wait for someone else to do it:
your wife, your government, perhaps God in the afterlife. You don't have to
lift a finger, because you already know, for certain, that it will
happen.he pathway to fulfilment is not currently known, but it is
reasonable to believe that it exists"

At any rate, I think I sketched a path from the subjective feeling of
positive valence states to "hope" as a driver of action mechanisms (or
algorithms) that an agent can engage in to attain the hoped-for outcome.
I'm trying to use clinical or robotic language and technical terms to
emphasize that this would hold in the generic agency model, and not just
for people, animals, plants or bacteria. It should work even for
non-biological agents.


> and not the evidence that consciousness is indistinguishable from next
> token prediction in the Turing test,
>
I'm with Jennifer Hane on this one.

-- Linas

Patrick: Are they laughing at us?
Sponge Bob: No, Patrick, they are laughing next to us.

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