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Just pointing out that language tends to describe things as having properties. For example, "the flag is red." But that isn't really accurate; it's more that we perceive the flag as red. The flag doesn't actually possess the property of redness.
Just pointing out that language tends to describe things as having properties. For example, "the flag is red." But that isn't really accurate; it's more that we perceive the flag as red. The flag doesn't actually possess the property of redness.
Just pointing out that language tends to describe things as having properties. For example, "the flag is red." But that isn't really accurate; it's more that we perceive the flag as red. The flag doesn't actually possess the property of redness.
Good idea, but one more question first. When you say a different language with different categories could also make true statements, do you mean truth is just any description that maps onto the states of the world? If so, it seems you can have multiple (indefinitely?) different carvings that all give coherent descriptions of those states.
"Fact about the world" seems too strong to me. There can be many good explanations of the same reality that carve it up differently. Newton's theories still work pretty well, but Einstein's have a more complete mapping onto reality. I agree "it's raining" has something real grounding it. But "rain" as a category, the subject-predicate structure, water as droplets, just seem to be features of our description. My notion of fact might just be wrong. The idea I have in my head when I think of facts is that the concepts we use are definite ontological categories in reality.
I completely agree with the definition in 4894. But to verify absolute truth you would need to know every possible criticism of an idea. Without a god’s eye view, you can’t know if your ideas are fallible to a criticism you haven’t detected.
A better framing of what I mean might be «closer to truth». If the theories are consistent with more perspectives (big objects, people, small objects etc.), it is closer to truths. Newton’s theory is in that sense closer to truth than Ptolemy’s geocentric theory.
Have some thoughts, which might be way off. But interested in your response. It seems to me that "hard-to-vary" is itself the criterion that a theory should be as programmable as possible. As you note, the goal of a theory should be to make it as explicit as possible, and a program is explicitness in its most complete form. Any theory with ambiguous components automatically has a breaking point that is changeable which is hard to detect. A programmable theory has strict causal relations all the way from the axioms to the prediction, which makes any change to the components detectable. In other words: a theory is hard to vary to the extent that its components and the couplings between them can be specified as a program. If a theory is vague, you cannot tell when it has been varied.
This might give a concrete operationalization. A breaking point is any place in the formalization where the chain stops being programmable: a primitive with no implementable type, a coupling between components that cannot be turned into a function, or just a step that requires implicit theories to fill the explanatory gaps. A mathematical theory with no remaining gaps has zero breaking points and is maximally hard to vary. A theory in natural language is already worse, because words carry ambiguity and vary from mind to mind. This does not rule out better and worse theories in natural language, since we can use more or less ambiguous words and relations. But it does create a hierarchy of hard-to-vary explanations, where the share of the explanation that is programmable, or at least unambiguous, forms the basis for measuring the "hard-to-vary" criterion.
This is probably too crude a formalization. But evaluating the two theories of Demeter's emotions and axial tilt as explanations, you could check how much of each is programmable. Detecting seasons is programmable in both cases through temperature and changes in weather. Demeter's emotions and the causal link from them to the weather, which is the entire explanation, are not programmable. In the axial tilt theory, every component is. So on this measure Demeter scores 25% and axial tilt scores 100%.
Would you agree that this notion of truth amounts to truth relative to our conceptual framework? When you say it's 100% true that it's raining, "the facts" you correspond to are already facts within that framework, and not reality.
At the molecular level there are no discrete raindrops, only a continuous distribution of H2O molecules constantly evaporating and condensing, and some of those very molecules are diffusing through the roof into the house, since no material is 100% impermeable to water vapor.
You might disagree. But when we search for truth, I think most of us are trying to understand the causal structure of the universe, not just predict it with our own fitted models. This is just a criticism of this notion of truth, which waters the concept down from what I at least think of as truth. Many incompatible theories can fit the same facts without capturing any causality. If you agree that truth is correspondence with reality, and not with the facts within our conceptual framework, the problem reemerges.
A statement carves the world into concepts standing in relations. For it to correspond with reality, those concepts must pick out genuine entities and relations in reality. But we have no way of verifying that our conceptual carvings track or pick out entities and relations in reality. This might not imply that some theories can't be more true than others. But it definitely rules out absolute truth.
When we search for truth, I think most of us are trying to understand the causal structure of the universe, not just predict it with our own fitted models. This is just a criticism of this notion of truth, which waters the concept down from what I at least think of as truth. Many incompatible theories can fit the same facts without capturing any causality. If you agree that truth is correspondence with reality, and not with the facts within our conceptual framework, the problem reemerges.
A statement carves the world into concepts standing in relations. For it to correspond with reality, those concepts must pick out genuine entities and relations in reality. But we have no way of verifying that our conceptual carvings track or pick out entities and relations in reality.
When we search for truth, I think most of us are trying to understand the causal structure of the universe, not just predict it with our own fitted models. This is just a criticism of this notion of truth, which waters the concept down from what I at least think of as truth. Many incompatible theories can fit the same facts without capturing any causality. If you agree that truth is correspondence with reality, and not with the facts within our conceptual framework, the problem reemerges.
A statement carves the world into concepts standing in relations. For it to correspond with reality, those concepts must pick out genuine entities and relations in reality. But we have no way of verifying that our conceptual carvings track the world's entities and relations. And therefore we can't know if a statement is true, or if it merely corresponds with the facts (our ideas/perceptions of the world)
I think tractibility lacks the open-ended capacity to reformulate what counts as a problem, a solution, and relevant data. Creativity is (at least partially) the ability to reformulate the problem space itself, not by ironing out implications of existing theories. An AI and computational systems is already good at ironing out the implications in our language and existing knowledge systems. But that's search within a given space, not the creation of a new one. Creativity seems to work on a higher level. It's operating at the level of problem framing, which requires things like relevance. An AI can't create new relevance, because its weights are a statistical compression of what humans have already found relevant. It inherits a frame; it doesn't generate one.
I think this shows that tractability can't do the work the bounty asks. Tractability is defined relative to a fixed problem space. But universal creativity is (at least partially) the capacity to restructure the space, to change what counts as a problem, a solution, and relevant data.
I think the core of universal creativity isn't about efficiency, it's the open-ended capacity to restructure what counts as a problem, a solution, and relevant data. Creativity is (at least partially) the ability to reformulate the problem space itself, not by ironing out implications of existing theories. An AI and computational systems is already good at ironing out the implications in our language and existing knowledge systems. But that's search within a given space, not the creation of a new one. Creativity seems to work on a higher level. It's operating at the level of problem framing, which requires things like relevance. An AI can't create new relevance, because its weights are a statistical compression of what humans have already found relevant. It inherits a frame; it doesn't generate one.
I think this shows that tractability can't do the work the bounty asks. Tractability is defined relative to a fixed problem space. But universal creativity is (at least partially) the capacity to restructure the space, to change what counts as a problem, a solution, and relevant data.
This also admits of the distinction between AI and AGI (and "universal creativity") as being whether the system is capable of creating knowledge ex nihilo, as argued by Deutsch. Only universal creativity could create knowledge from nothing. Bounded creativity must start with something.
I think DD's view is that creativity is problem-solving at a meta level. True knowledge creation occurs when the problem space itself is reformulated, not by ironing out implications of existing theories. An AI is already good at ironing out the implications in our language and existing knowledge systems. But that's search within a given space, not the creation of a new one. Creativity seems to work on a higher level. It's operating at the level of problem framing, which requires things like relevance. An AI can't create new relevance, because its weights are a statistical compression of what humans have already found relevant. It inherits a frame; it doesn't generate one.
This is why tractability can't do the work the bounty asks. Tractability is defined relative to a fixed problem space. But universal creativity is (at least partially) the capacity to restructure the space, to change what counts as a problem, a solution, and relevant data.
By Tractible, do you mean "efficient relative to fixed task"?
"Understanding" isn't just another way of saying "can explain." An RNG could by chance generate a good explanation, but it doesn't understand it, and therefore can't distinguish it from garbage. Understanding involves recognizing that something is a good explanation. It is conscious understanding that makes conjecture and criticism possible. Without it, you have no criticism, only random selection. What do you think of the suggestion that what's lacking from the explanatory universality definition, is an intelligent selection mechanism. A random program can generate any explanation given infinite time, but it will never select which explanation is good.
Does not understand explanatory knowledge seems like a better criterion
Those are still spatial metaphors. I'm not saying we can't extend our ideas through imagination, creativity etc. Only that the metaphors and concepts we use/have meaning for us, are constrained by the perspectives we can take as humans. When we try to explain how bats perceive through echolocation, we fall back on visual simulations, because sight is the only perceptual world we know. Ideas have a similar limitation
Those are still spatial metaphors. I'm not saying we can't extend our ideas through imagination, creativity etc. Only that the metaphors and concepts we use/have meaning for us, are constrained by the perspectives we can take as humans. When we try to explain how bats perceive through echolocation, we fall back on visual simulations, because sight is the only perceptual world we know.
We explain the world by postulating invisible things, but we can only understand those abstractions through concrete metaphors rooted in our physical experience. A concept or idea with no experiential grounding is meaningless.
I think that depends on the "embodiment" of the AGI; that is, what it's like to be that AGI and how its normal world appears. A bat (if it were a person) would probably prefer different metaphors than a human would. Humans are very visual, which makes spatial features very salient to us. Metaphors work because they leverage already-salient aspects of experience to illuminate other things. So to train an AGI, I would think it's more useful for that AGI to leverage the salient aspects that are pre-given.
I think that depends on the "embodiment" of the AGI; that is, what it's like to be that AGI and how its normal world appears. A bat (if it were a person) would probably prefer different metaphors than a human would. Humans are very visual, which makes spatial features very salient to us. Metaphors work because they leverage already-salient aspects of experience to illuminate other things. So to train an AGI, I would think it's more useful for that AGI to leverage the salient aspects that are pre-given.
I think that depend on the "embodiment" of the AGI. That is how it is like to be that AGI, and how it's normal world looks like. A bat (If they where people) would probably prefer different metaphors than for a human. Humans are very visual, which makes spacial feutures very salient for us. Metaphors are useful because they take advantage of already salient aspects for a person to view other things. So things that is are immidately salient for the person, has more potency as a metaphor.
I think that depends on the "embodiment" of the AGI; that is, what it's like to be that AGI and how its normal world appears. A bat (if it were a person) would probably prefer different metaphors than a human would. Humans are very visual, which makes spatial features very salient to us. Metaphors work because they leverage already-salient aspects of experience to illuminate other things. So to train an AGI, I would think it's more useful for that AGI to leverage the salient aspects that are pre-given.
One part of my question was whether a formal criterion can be applied universally. If the citerion itself must be chosen, like for instance what brings more fun, meaning, practical utility, then by what criterion do we choose the criterion? Or is the answer simply to apply the same process of critical examination to everything that arises, until a coherent path emerges?
The other part was how you actually critize an implicit or unconcious idea. If you have an unconcious idea that gives rise to a conflicting feeling for instance, how do you critisize a feeling?