I am not familiar either, considering that I didn't understand its significance before yesterday. But from what I understand, it essentially states that inference and semantics are equivalent in a first order theory. If the theory knows something, it is true in all models (i.e. true for all interpretations consistent with the axioms), and if something is true in all models, the theory knows it. I don't find this surprising, as it makes intuitive sense. What I find more surprising is that it doesn't hold for higher order logics, as elaborated here:I am not familiar enough with Gödel's semantic completeness theorem. The explanation does not contain elaborate examples to illustrate the details of what they are talking about. It would be quite a job to inject examples in the right places. — alcontali
The completeness theorem is a central property of first-order logic that does not hold for all logics. Second-order logic, for example, does not have a completeness theorem for its standard semantics (but does have the completeness property for Henkin semantics), and the set of logically-valid formulas in second-order logic is not recursively enumerable. The same is true of all higher-order logics. It is possible to produce sound deductive systems for higher-order logics, but no such system can be complete. — Wikipedia
A ring is "almost" a field -- it just lacks inverses (it is not closed under division) -- but that's the little I understand of why this ring is still a model (=σf-structure) of a field ... I hope that Wikipedia will manage to better elaborate on this subject. — alcontali
I see. Thinking about it, semidecidability I imagine will carry a lot of practical utility for applications like automated theorem proving, even though it doesn't guarantee termination. Decidability is probably more crucial to theoretic analysis.I suspect that ZFC is not decidable, but then again, it really depends on the link between completeness and decidability. If there exists a procedure to solve the proof problem, the proof problem is decidable. That means that the theorem is provable from the theory. In that sense, provability is a decidability problem, because a proof is a procedure. — alcontali
I actually don't know how the syntactic incompleteness was proven (through the same meta-logical argument as its semantic counterpart or not), but it seems that you shouldn't need a lot of semantics in order to demonstrate that some statement is independent. If the statement's derivation involves circularity (like the Gödel sentence), it should be entirely a deductive property if this circularity can be eliminated or not. But I might be wrong.I think that it is the semantic completeness theorem that throws a spanner in the works: For a statement deemed true by the system, some proof must exist within the system. — alcontali
A theory (set of sentences closed under logical consequence) in a fixed logical system is decidable if there is an effective method for determining whether arbitrary formulas are included in the theory. — Wikipedia
Decidability should not be confused with completeness. For example, the theory of algebraically closed fields is decidable but incomplete, whereas the set of all true first-order statements about nonnegative integers in the language with + and × is complete but undecidable. — Wikipedia
From the definition you quoted, a complete axiomatic theory has a proof for either the statement or its negation. That does not mean that all such proofs or statements can be enumerated by a single effective procedure simultaneously. (PS. According to the previous edit I made, the answer is yes, for the more conventionally axiomatized theories.)Completeness. A set of axioms is (syntactically, or negation-) complete if, for any statement in the axioms' language, that statement or its negation is provable from the axioms (Smith 2007, p. 24). — alcontali
I reason, that for a statement to lack proof implies that it is not part of the axiomatization consequences. Not that it is part of the axiomatization consequences, but those cosequences cannot be computed.First Incompleteness Theorem: "Any consistent formal system F within which a certain amount of elementary arithmetic can be carried out is incomplete; i.e., there are statements of the language of F which can neither be proved nor disproved in F." (Raatikainen 2015) — Wikipedia
This contradicts the summary, by clearly stating that validity is not the subject of the theorem. And finally, the following paragraph shows that the Gödel sentence is merely satisfiable in the standard model, not in every model:The first incompleteness theorem shows that the Gödel sentence GF of an appropriate formal theory F is unprovable in F. Because, when interpreted as a statement about arithmetic, this unprovability is exactly what the sentence (indirectly) asserts, the Gödel sentence is, in fact, true (Smoryński 1977 p. 825; also see Franzén 2005 pp. 28–33). For this reason, the sentence GF is often said to be "true but unprovable." (Raatikainen 2015). However, since the Gödel sentence cannot itself formally specify its intended interpretation, the truth of the sentence GF may only be arrived at via a meta-analysis from outside the system. — Wikipedia
Although the Gödel sentence of a consistent theory is true as a statement about the intended interpretation of arithmetic, the Gödel sentence will be false in some nonstandard models of arithmetic, as a consequence of Gödel's completeness theorem (Franzén 2005, p. 135). — Wikipedia
My understanding from the definition was that for a theory to be decidable, it is necessary to have effective enumeration of its theorems, not to have a theorem for every statement or its negation. In that sense, I thought, whether ZFC is decidable is a separate subject matter from its syntactical incompleteness.ZFC is subject to the diagonal lemma, and therefore is syntactically incomplete. Hence, it must necessarily have undecidable statements that can be expressed in first-order logic. — alcontali
I understand, but just to clarify. I wasn't so much curious about Gödel's semantic completeness directly as application with respect to other axiomatic systems, i.e. examples of models that satisfy a statement that is independent of the axioms. I was wondering whether there exists a definition of some kind of "minimal" class of models for every theory. Because, as it stands, I am under the impression that semantic incompleteness says nothing that the syntactic incompleteness and semantic completeness theorems together don't say. If such models were defined and coincided with our "intuitive" definition of interpretation of a theory (similarly to what denotational semantics offers for recursive programs), and Gödel's semantic incompleteness were shown to apply to such models (i.e. they always satisfied a statement that cannot be derived from the axioms), it would make the claim stand on its own.Concerning the implications of Gödel's semantic completeness theorem for other systems than Peano arithmetic, we are talking about advanced model theory, which is an enormous subject in itself. — alcontali
Absolutely. I will look into it on my own when I have the time. Logic is a past time interest for me, so I have gaps in my understanding at the moment. But I am trying to cure them, a piece at a time.It is interesting to work on such explanation by examples, but then again, who else would be interested in reading the results? This discussion on the diagonal lemma is probably already more than what many potential readers would want to handle ... — alcontali
I think I understand the nuance. There are undecidable deductively complete theories, so claiming that an undecidable statement makes a theory deductively incomplete sounds strange. Saying that the statement is independent from the axioms, purely as a vocabulary, reduces the confusion.By the way, there is a problem with the terminology. Decidability is about computability:
...
While independence is about provability:
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The difference between "undecidable" and "independent" seems to depend mostly "on the peculiarities of either formalism" rather than on truly fundamental issues. — alcontali
I find the Curry-Howard Correspondence a little strange. I'm sure it makes sense, but likening axioms to a pre-execution invariant and theorems to a post-execution invariant appears complicated. It may have something to do with formal verification processes, but for me, the relationship between proofs and computation appears to be about enumeration of proofs by turing machines in one direction, and the generation of booleans on the Turing tape for the proven theorems after every inference step in the other direction.Given the Curry-Howard Correspondence, undecidability and independence overlap much stronger than suggested — alcontali
After clearing up my error in understanding, hopefully, I am not very surprised. Indeed, because of Gödel's completeness theorem, if a theory were able to prove a statement of PA that PA iteself couldn't, it would have fewer models. The stronger theory would not simply be deductively stronger, but semantically stronger. I was mistakenly excited that a theory with equivalent semantics (one that is expansion of PA) could cure PA's incompleteness. I was hoping that because the new axioms are not statements of PA itself, but their interpretations, they might result in some completely different configuration, without restricting the model space. But this is apparently not the case, at least for first-order logic.ZFC is not more powerful than PA because it knows more stuff. In fact, that would not be possible. Such theorem (as well as its proof) would still be a Gödel number which PA can also reach. Therefore, PA actually "knows" all possible theorems (and their proofs) that can be expressed in language. Therefore, it also knows all the axioms and all theorems (including their proofs) of all the other systems. The problem is that PA does not "trust" them. — alcontali
I couldn't express myself properly, but this is what I meant. I was attempting to construct an axiomatic system, whose undecidable sentences are not amenable to further evaluation by means of metalogic. The idea was to start with incomplete axiomatic system and to import proofs of undecidable statements by continuously adding meta-axioms. There were problems with this approach.These "true but unprovable" statements will appear to use as simply undecidable. — alcontali
If I understand you correctly, there are axiomatic systems which preserve the truth values of all statements of Peano arithmetic, but make previously undecidable statements decidable? It is a curious fact. So, we don't actually have an axiomatic system yet, in which all statements of Peano arithmetic are decidable?Number theory (by default: Dedekind-Peano) is a sub-theory of set theory (by default: ZFC), meaning that every number-theoretical theorem can be proven in set theory, but not the other way around. Now, there really are number-theoretical theorems that are fundamentally undecidable in number theory (=DP), but provable in the larger set theory (=ZFC): — alcontali
Just thinking out loud, I wonder whether we would know if ZFC is semantically complete or not, if it were deductively incomplete? And what would be our course of action if we can't know? And on a related note, I wonder whether a theorem with the same quality as Chaitin's constant for Turing machines can be discovered for ZFC - having definite truth value, but no proof in logic or meta-logic.Now, we may not have fundamentally stronger theories than set theory (=ZFC). In other words, there may not be such larger theory of which set theory would just be a sub-theory. Therefore, when a theorem is undecidable in set theory, it may even be absolutely undecidable. — alcontali
Yes, I think that it is also intuitive that ZFC cannot be weaker than a universal Turing machine. I also thought that it cannot be stronger. Since non-deterministic Turing machines are computationally equivalent to their deterministic counterpart and should be able to simulate successfully any deductive system. I mean - that was my intuition anyhow.One reason why we may not go higher nor further than ZFC, is because ZFC is already at the level of Turing-completeness -- can compute everything that is computable and therefore: can represent all knowledge that can be expressed in language. ZFC is possibly even stronger than that — alcontali
I have wondered about this. I am not intimately familiar with the hypothesis, but it becomes ever more so obvious that material and abstract sciences are intertwined together. There are some implicit assumptions here, like discrete finite state and determinism. If I recall correctly non-determinism cannot produce more computability. But it can produce more outcomes, and I cannot tell whether this can contribute to nature somehow. Analog or infinite state may be unfeasible, as per QM. The hypothesis does depend on a number of assumptions, but may be true nonetheless.On the other hand, Turing Completeness is already a seriously constraining limit:
All known laws of physics have consequences that are computable by a series of approximations on a digital computer. A hypothesis called digital physics states that this is no accident because the universe itself is computable on a universal Turing machine. This would imply that no computer more powerful than a universal Turing machine can be built physically. — alcontali
I think there is indeed some overuse of the term, which prompts me to blabber for a while here, to put my current thoughts on record if anything. Feel free to skip any or all of the following.There are two uses of the word in play. One is about what we take to be true. The other is akin to absolute truth. — frank
Words mediate concepts in our thought process, but they are not in themselves concepts. The interpretations of words require an interpreter and a universe, where the interpretation is "acted". The interpreter and context are not compelled into existence by language. If the interpreter acts irrationally by virtue of its conceptual understanding, it will face increased adversity. This decreases its odds for successful function (biological, social, etc). Even if very slowly, this will gradually eliminate or rectify the interpretation (by changing or destroying the interpretation bearer, its culture, its species, etc).I think you are avoiding the notion that all 'concepts' are denoted by 'words' which are socially acquired. — fresco
They have a lot more in common, like culture, economy, ecological factors. Delusions are frequently part of the majority point of view. But they must still be acted out in ways that remain practical. Without practicality, a delusion will be self-destructive. As the technological and anthropological needs of a society increase, prior delusions lose practicality and are removed from majority consensus. New delusions appear in their stead, but reality does gradually settle in.Convergent consensus may be inevitable, but only to the extent that human language users have large parts of their physiology in common. — fresco
Einstein did not invent special/general relativity, just to break the mold. There were good and eminent physical reasons to do it (such as the relative consistency between the speed of electromagnetic waves and the rate of other physical phenomena in all reference frames), and there was already a vigorous debate concerning the meaning of time and space, before Einstein. Similarly, there were discussions about the wave and corpuscular nature of light prior to QM. There was of course conservatism, resistance to change, etc, but in both cases, empirical data prompted the developments in the conceptual model, not aesthetics.Now, it may be, that an 'uncommon physiology' like the brain of Einstein, can deconstruct previously 'useful' concepts like 'time', thereby triggering a paradigm shift with its associated 'concept/language revision'. — fresco
I think of the relationship between reality and the personal momentary impression of utility like the direction of water molecules in the path of a water stream. Each molecule has a direction and is a quantity of water. However, it may or may not be consistent with the overall direction of the surrounding volume of water. And if it is inconsistent, it is likely that it will be altered, numerous times, with the overall tendency to follow the same path as the rest. Or not, but more likely, it will. The surrounding volume of water also may deviate from the total turn of the stream, due to an obstacle, for example. But ultimately, it will probably join with the rest. Or not, but usually it does. And if it does, by the time it does, the stream may have changed direction.I don't define it. It is a concept which denotes 'utility' of another concept and the utility of all concepts is relative to human needs. — fresco
One could similarly argue that conceptualization is extrapolation of form derived from sensory experiences. You might then claim that you don't have concepts, but delusional elaboration of your senses. But if the concepts, sensory experiences, and the phenomena which cause them are joined in through methodical interactions, existence can be claimed in the usual way - through observational verification.Some concepts imply expectance of lasting physicality and others do not. Concepts are denoted by 'words' whose abstract permanence suggests permanence of "objects' relative to human experience. — fresco
Concepts are like self-fulfilling prophecies. In the event of contention, each side assumes it is consistent with the human condition on a larger scale. Each side fights for recognition and self-affirmation, until the "correct" belief is justified if it becomes testable, and compels a wider consensus. Then, the relativistic conceptualization transcends its boundaries. Realism is a statement, that such convergence is inevitable.But concepts are all we've got ! — fresco
Self-judgement can be much harsher than the judgement of a benevolent creator. Most theists that I have known, seemed more relieved from their flawed human nature then I am.And non-religious people are also coping (and deluding themselves) by being unbelievers. Non-religious people are afraid of ever being held accountable, so their refusal to believe in a Creator is just the manifestation of their fear of responsibility. They just don't want to be responsible, and so they're afraid of judgement more than they're afraid of death. — Agustino
That is fine. People cannot agree all the time.Yes, I can see that. But thanks for your reply. — Wayfarer
I am still thinking about it :) But I don't have the answers. Mutual information, correlation, isomorphism, etc, could help in defining mathematically a purely material concept of representation. Which I believe to be the objective component of the notion of fact awareness, which predicates understanding.Truth is a distinction, insofar as it is a member of a complementary pair, and if the capacity to make distinctions, that is, recognize a complementary pair, becomes lost, doesn’t that make the complement itself moot? If there is no making or comprehending a distinction, how can it be said there is one? — Mww
The abstract notions, such as equivalence, causation, correspondence, etc, can be considered predicated by nature's reproducible conditions. For a naturalist, abstraction can be explained as emergence of generalizing faculties in the human cognitive apparatus, as optimal response to the exhaustible external varieties. If you imply that human sentience is irreducible to information processing, then you will not be satisfied with this answer.I gave an argument, very early in this thread which is that there is no physical equivalent of the "=" sign. It can be extended to the argument that symbols, generally, which are the basis of language and abstract thought, can't be meaningfully reduced to physical laws (an observation which is the basis of the discipline of biosemiotics). — Wayfarer
The implied premise of the question, however, is that the search for (universal and eternal) meaning is not a rational need for foundational permanence. If it were, then it would make the universe meaningful by definition for a naturalist, because it is permanent, and a foundation onto itself. Such hypothesis may be overreaching, but so is the idea that the universe was conceived by an omnipotent creator, that is permanent and a foundation onto itself. The constructions are so similar, they end up being different on what seems like a technical note.Put another way, if the universe is, as materialism tells us, intrinsically meaningless, then how is meaning and reason grounded in it? — Wayfarer
Human knowledge is fragile. You are correct, that any theory that supports that knowledge is corrigible attacks its own foundations. But given that human knowledge is indeed imperfect, shouldn't any sound epistemic theory have the obligation to model our understanding in such a way, as to seed reasonable doubt in its own validity, in consideration of its origin?And, as remarked by one of Dennett's critics, 'if reason is a product of natural selection, then how much confidence can we have in a rational argument for natural selection ?' — Wayfarer
I don't understand how reducing the subjective states (mind) to objective states (matter) attacks the existence of the mind. This is the same as believing that allowing your doctor to examine your cough will destroy your cough from existence. I think it merely attacks the mind-body distinction. Allowing the mind to be understood empirically, does not disregard it. It rather appears to me, that dualism has a notion of the human soul, which is being attacked. But this is not the same thing as attacking the mind, except for a dualist. I dare say, I am an existentialist. I believe that if your values depend on your irreducibility, your ethical choices rest on the wrong premises. This explains why I don't subscribe to the objections against the "meaninglessness" of the material world onto itself.What it all comes down to, is that eliminative materialism doesn't succeed in eliminating the subjective reality of being; it basically ignores it, and then says 'what's the problem?' — Wayfarer
That is why I cannot argue that it is true. Only that it is self-consistent and plausible. Which you don't seem to agree to.Is 'eliminative materialism' an empirical hypothesis? Is there any conceivable way of determining whether it's true by empirical means? — Wayfarer
Whatever the originally intended scope was, natural selection can justify the emergence of social order and ethical standards in the social groups. In the article you referred me to, the author was arguing that the emergence of ethical standards is independent of the process of natural selection, wasn't he?But natural selection is a theory of the origin of species, and, as such, a biological theory. — Wayfarer
You were arguing about the ontological content associated with different physical forms. You resolved this question by a dictionary lookup?The dictionary should suffice. The definition of machines, devices, beings, and organisms, demonstrate that they are different in kind. — Wayfarer
We have developed the skill of engineering and have the resolve to embody the material expression of our intelligence into an artificially produced vessel. This will change the time scale significantly. For better or for worse, it has become essentially unavoidable at this point.As far as science knows, this is only ever evident in the case that it forms the physical aspect of sentient beings. Took several billions of years, and stellar explosions, to happen, however ;-) — Wayfarer
The way I understand it, the real backbone of evolution is natural selection, not biology. Natural selection is determined by some biological traits, but it also involves all the particulars of the speciation process, including sociological or ecological factors. For example, the pollution of the ocean by plastic contaminants is not a biological phenomenon. However, it emerges as a product of collective behaviors that interact with the species' continuing adaptation and fitness.But then, for us, nothing is beyond the scope of biology, as we're material beings, and so ultimately explicable in scientific terms. — Wayfarer
This is a very substantial postulate, that needs to have some rational grounds for me to accept it.Machines are devices, and devices are not beings. But again, you're explanatory framework may not permit the distinction. — Wayfarer
What is the alternative methodology? The least of what I want is to conclude at my premises, but I will not be convinced through sentiment either.In other words, if you claim that empirical method is the arbiter in such issues, then you're basically want an empirical argument against empiricism. — Wayfarer
As I said before, I am willing to allow that matter could be self-perceiving, under certain conditions. Our familiarity with matter is insufficient to make such judgement, but for me, it is a possibility. And I think that it requires the least amount of extraneous philosophical content. Considering the states of mind that an individual can experience, due to illness, or age, I can hypothesize a plethora of mental states. And since I am skeptical that our characteristic mental state is the only one that can sustain reason, I prefer to generalize philosophical arguments beyond the typical frame of mind.A property of what? Perceived by whom? — Wayfarer
The less I try to postulate, the closer I become to the materialist view. Which is not to say, that I am against postulations that are undeniable by reason or nature. But the more I think about a statement, the more corrigible it seems. Hence, I drift towards materialism, as the most void philosophical position.You along with every physicalist/materialist worth his lab coat, property herein meaning something that belongs to a real substance. Not that you gave any indication you are one, just that experience informs me they think along the same lines you just spoke. — Mww
Depending on our definition, the subjective might be possible to stretch (in ways that actually interest me), and still maintain the capacity for reason.I rationalize the situation by coming at it from behind....I don’t have to prove subjectivity, but rather all I have to do is show how everything else becomes immediately unintelligible if there isn’t such a thing. — Mww
This certainly leans closer towards a definition of subject, that will resist attack, if awareness turned out to be potentially (or in some sense actually) impersonal.I take that “something thinks, therefore something exists” and turn it into “I” am that which exists as thinking subject. “I” taken to represent the spontaneity of all thought in general, also called “ego” in empirical psychology, and the thinking subject taken to represent consciousness itself, which is the totality of conscious thought in general. — Mww
Tautologically, without the subject, the truth has no value to that subject. The necessity or capacity to make distinctions is lost to a non-extant subject, but does that preclude the truth from being in its own right? One could say, that we don't have to make such judgement, assuming the nature of truth does not impact our use of it. I am not sure of that.Perhaps, but what good would a truth be if it wasn’t comprehended as such? — Mww
Exactly my point. I would have said "necessitates the subject's existence", but the problem is - I am not sure that the subjective (in principle) is not an emergent, complex, partially distributed, potentially mutable property. I speculate that the subjective may depend on the relationship between constituents, as an expression of their organizational independence. Since I cannot be sure that the subjective is intrinsic indivisible immutable property, I cannot say "I think therefore I am", but rather "something thinks, therefore something is". For the latter, I can sort-of argue logically, using the necessity of logical models for the soundness of a statement, but still with many caveats.Nahhhh.....I was just wondering if you held some unassailable truth. So as not to extend the concept of existence into the far reaches of dumb, an analytic proposition, which begins merely as something one thinks, would be true when its negation is impossible. The most famous one of all being cogito ergo sum. — Mww
My point is - the subject (speaking now in a more narrow conventional sense) need not even comprehend the correlation as it applies, for it to be true. But if the subject doesn't comprehend the statement, what is their relation to the statement. One might say, that they still will experience the truth as an effect, but this bounds truth to experience. I am not sure this is the case, as it seems to me that truth may exist in its realization, without requiring knowledge. For example, simple mechanisms form a correct expression of some reality. An electronic thermoregulator can be "correct", in the sense that its internal representation of the environment state is amorphous to the actual state. The two states can be observed, their correlation or mutual information measured. In contrast, an "incorrect" thermoregulator would have states that exhibit less correlation, which is independent of the notion of its utility. So, in some primitive sense, one can talk about truth, even without awareness, just based on state correlations. There still has to be some state space for those correlating states, Thus even in this primitive case, you need some realization or existence. I am not arguing here whether correctness has value without a sentient subject. Neither whether reality without sentient subject can be ever validated, even if the truth would hypothetically still have proper mathematical definition.I think the criteria for truth is the relation between subject and object, not always the existence of one or the other. The statement every effect has a cause is true, but neither cause nor effect exist. At least in the strictest sense. If we mean anything that is an object of thought exists just as objects of experience exist, such as concepts or ideas, then the answer to your question would have to be....both. — Mww
I read the article, but I have to say, I disagree with a lot of it. I will present my critique.A lot of modern thinking comes about because evolutionary biology occupies the place that was once occupied by religion. But whereas Western religion incorporated a sophisticated moral philosophy, derived from the Greeks as well as Biblical lore, evolutionary theory is really only a biological theory. So the attempt to shoehorn an explanation of all human nature into evolutionary theory is biological reductionism which is the default view of the secular-scientific culture. About which see this comment. — Wayfarer
The evolutionary hypothesis does not mean to guide the population in its choice of ethics, It tries to support an explanation of how ethical choices are formed in a large statistical sample. What ethical choices should receive one person's privileged consideration is beyond its scope.I have no beef with entomology or evolution, but I refuse to admit that they teach me much about ethics. — Richard Polt
Considering only the biological level of the individual when interpreting natural selection is artificially limiting. There certainly are sustainable and unsustainable types of collective behaviors and group interactions. In that sense, choices are influenced by both biological and cultural speciation. I use the latter term in the sense that, for the purposes of natural selection, we don't inherit just our genes, we inherit our culture, our social context, even the state of the environment, which interact with the survival of the species in pretty much the same way. That is, selection of the fittest is capable of explaining what drove people to complex social order, cultural conservatism, and in the ethical plane (ontology of divine miracles set aside), religion as well.But since the human race has evolved to be capable of a wide range of both selfish and altruistic behavior, there is no reason to say that altruism is superior to selfishness in any biological sense. — Richard Polt
Natural selection recognizes that cooperative (but competitive) member contributes to the thriving of its group. Species that act in pure chaos, driven only by self-interest, are not likely to persevere. Of course, evolution doesn't prescribe the range of ethical choices, but recognizes that choices that resolve poorly for the group won't have continuing place in history, as their presence will be eliminated through social ostracization or general extinction.In fact, the very idea of an “ought” is foreign to evolutionary theory. It makes no sense for a biologist to say that some particular animal should be more cooperative, much less to claim that an entire species ought to aim for some degree of altruism. — Richard Polt
The author frequently relates to some ant analogy, which apparently have been used to illustrate an evolutionary approach to social behaviors. Whoever used ants as an explanatory device, I am sure did not mean to assert that the human species are similar in their social dimension, but only that ants can be used to illustrate the formation of collective behavior or herd instinct from an evolutionary standpoint.I prefer to conclude that ants are anything but human. — Richard Polt
Human beings are at the top of the evolutionary scale for a reason. The formation of social attitudes, of cultural norms, of instructional ideologies and religions produce more coherent group behavior (albeit not in every single instance). We all know that homo sapiens defeated (and ate) the neanderthals, because the latter, being averse or inept to the formation of large social groups, were forced to defend themselves in isolation. (To think of it, I am more of a neanderthal.)Whether we’re talking about ants, wolves, or naked mole rats, cooperative animal behavior is not human virtue. Any understanding of human good and evil has to deal with phenomena that biology ignores or tries to explain away — such as decency, self-respect, integrity, honor, loyalty or justice. — Richard Polt
The author takes for granted that the structure of machines is incapable of sentience. This may or may not be true, but the author elaborates on the particulars of electrical circuitry, as if there is something inherently profane about them, which makes it unworthy of hosting sentient life. However, why electrical construction is fundamentally incompatible with life is not discussed.Siri may find the nearest bar for you, but “she” neither approves nor disapproves of drinking. The word “bar” doesn’t actually mean anything to a computer: it’s a set of electrical impulses that represent nothing except to some human being who may interpret them. — Richard Polt
I am not aware of any accepted test that determines the presence of those attitudes in a non-human. And if the fact that we cannot test those qualities in machines with certainty is cause to withdraw speculations of machine sentience, then what tests have we used to confirm the universality of human sentience? Shouldn't the author present, in the context of his contrasting comparison, balanced empirical criterion for people and machines, and illustrate its failed application to machine behavior. Or otherwise, what criteria were used here - instinct?None of these devices can think, because none of them can care; as far as we know there is no program, no matter how complicated, that can make the world matter to a machine. — Richard Polt
Again, essentially the same issue. The author is vague what type of demonstration would be sufficient. Admittedly machines today are still rather primitive, but in the hypothetical future when machines start to behave more elaborately, what test would satisfy the author or will he reject machine sentience purely definitionally? (On the other hand, machines may not be capable of sentience. But from my point of view, the author did not attempt to rationally prove this point.)Show me the computer that can feel the slightest twinge of pain or burst of pleasure; only then will I believe that our machines have started down the long road to thought. — Richard Polt
I wouldn't limit the causes of natural selection to genetics and biological structures. The factors are all encompassing - sociology, ecology and even cosmology can ultimately play a role. But even if ethical choices are explained by natural selection, that stillWithout a brain or DNA, I couldn’t write an essay, drive my daughter to school or go to the movies with my wife. But that doesn’t mean that my genes and brain structure can explain why I choose to do these things — why I affirm them as meaningful and valuable. — Richard Polt
What I meant was, exceptionalism in its philosophical significance, which wasn't about a degree of accomplishment, which human beings obviously possess, but about fundamental differences between the species on which such accomplishment would have been predicated. That is - differences that cannot be explained in terms of gradual speciation, as Mww explained.language, technology, science, arts, literature, philosophy.....what more evidence would you need? — Wayfarer
This seems to be an accurate interpretation of the known facts.Just because we’re apex-intelligensia and apex-praedator in this environment through sheer evolutionary happenstance, says nothing about any other. — Mww
Are you hinting that truth implies existence? That any universal statement is implicitly about a model reality, and without reality, all universal statements are equivalent, making non-existence the mathematical definition of contradiction. Or am I misreading you. On a purely technical note - what about existential statements?f you mean by “immutable comprehension” an irreducible understanding, is there no one simple thing for which you have no doubt at all? Or, is there no one simple thing for which the doubt of it contradicts something....or possibly everything.....else? — Mww
I make my assertions corrigibly. I don't believe that I am capable of obtaining immutable principles. I possess modus operandi that is subject to continuous validation and refinement, and that is what make it a comprehension. Is logic corrigible? Could be. I rely on it, because I don't know any better and if I don't foster my conviction in some sensible image of reality, I will not be able to utilize my reason. But I doubt that immutable comprehension of any kind will be obtained by simple organisms such as ourselves anytime soon.And finally, the epitome of logical reductionism is of course, the Aristotelian laws of thought, which makes explicit any theory defended by them does try to plant it right squarely into a sacred foundational principle. — Mww
Every intellectual labor needs to commit itself to a manageable scope, that is true. But that does not imply, that the assumptions and methods therein are not consequently subject to further investigations or critical analysis. Furthermore, logical reductionism compels defensive thinking exactly for this reason - it tries to plant theories into sacred foundational assumptions, instead of investigating the logical interrelations between different kinds of statements. I prefer the later methodology, because it compels impartiality.I would say we shouldn’t. Any sound philosophical position would seem to require either subscribing to a method which grounds it, or actually being a method in itself from which something else is grounded. — Mww
Observable, but not necessarily in the empirical sense. What I meant was that the notion should have a definite meaning and a clearly expressed value. Note that I don't consider it necessary for all notions to be of this variety, only those which are subject to critical thinking. But if they are not subject to critical thinking, how can they be subject of philosophy?But from the context, it appears you are saying brain states that are not observable are hypothetical, and the epistemic substance of a hypothetical is questionable. — Mww
Being hypothetical is not an issue for me. My problem is lacking any kind of critical evaluation - logical (because of logical independence), empirical (because of disembodiment), experiential (because of indefiniteness). I am not opposing the idea that the mind can exist independently of reason - many things do. But if it is not planted in some kind of analytical framework, as you propose, then I cannot see how it can be a component of philosophy.I would substitute logical for hypothetical, from which a valid method may follow necessarily, and there arises something on which to base our philosophical positions. — Mww
You meant something more constrictive then I originally imagined. That your notion of the mind can be compared to a kind of bondage, similar to one's reaction to physical pain. Whatever its nature and substance might be, pain does provoke an adverse reaction in us, as this is its intended function.So, yes, I suppose it could be said I am indifferent towards the issue. I really don’t care about mind that much; it is enough that I exist as a thinking subject and if I happen to think about mind, I can only think so far and no further without venturing into the irrational. — Mww
Actually, I was not trying to prove that sensation is recursive, but to weaken the argument that it couldn't be, because of unfoundedness. I wanted to make the argument, that if we assume that sensation cannot articulate its own structure, then we could make a similar argument that thinking about thinking or emoting about emotions is impossible. And the parallels I think hold well, because when I articulate my thoughts by thinking reflectively, the two thoughts are not incident, but the latter contains expressions of the former. I am able to investigate the nature of my thoughts, precisely because I am able to think about them, not merely to think in its own right. Similarly I would not be able to examine the nature of sadness, if I didn't feel any regret for it. But my regret for sadness, despite being a similar kind of emotion, is not coincidental with the sadness that provokes it. It is an expression of it. And our mental faculties are interwoven, such that we can think about our emotions, and emote on our thoughts. My argument is, that it would not be contrary to nature (i.e. paradoxical) if we could observe sensation through sensation. Our senses could express how our mental states work, just like the the rest of our mental faculties can self-reflect. Except that this self-reflection involves a space of greater complexity - the material world, which overwhelms our emotional and contemplative capacity.And to say from that, that the brain is observing itself, may be a conventional easement, it is nonetheless philosophically bankrupt, because it invokes a categorical error. Thinking is one thing, observing is quite another. — Mww
Or treat objects as beings? Hence - pantheism and eliminativism seem the same to me..In other words, treat beings as objects, no? — Wayfarer
Some hypothetical states might not be empirically verifiable, but the question is - are they epistemically substantive, and if not, why would we arbitrate our philosophical position for reasons that are not purely methodological? I mean, If we can't distinguish two positions in terms of their implications what is the difference between them? (Granted, there are positions that can be distinguished from materialism on that basis, such as the immortality of the soul, the existence of divine miracles, etc, but the notion of a mind existing separately, without further qualifications, does not appear to have immediate consequences in itself.)While I might agree some brain states are experimentally quantifiable, insofar as reactive indicators are present for observation, I disagree that purely abstract mental conditions, that which is theorized as reason and its integrated particulars, will ever be displayed on a screen or graph. That is to say, the result of thought may be externally witnessed, but the machinations for its implementation, won’t. — Mww
For me, the question here is whether the mind is first and foremost a collection of unprocessed emotions and senses, aka the intentionality, or are we biased to prioritize these experiences, because they require less mental effort, whereas the more belaboring means of self reflection that involve logical inspection of the natural world, whilst much more intricate, taxing, and sometimes unreliable, can offer further detail of our state of mind, which we are not capable of perceiving directly through emotions.I mean.....how does one even look for “understanding”? — Mww
There is indeed a complication. Empirical observations as eliminativists would have them are recursive. For the brain to observe itself, it has to already be capable of sensation. But, I am not sure that this is contradiction. After all, the brain does not purport a different image - looking at your brain scan image does imply that your neurons are processing data about themselves. Also - the same recursion does exist backwards. A person can think or emote, or they can think or emote about the nature of their thoughts and emotions. While the latter actions involve greater sophistication, they are usually assumed to be fundamentally realized (whether metaphysically or biologically) in the same way as the former. The entire process could be described as such - through nature we can observe, us observing, us observing, or, observing others, observing us, etc.Me, I just think it’s kinda funny, that physicalists/materialists in general tend to deny the philosophical paradigm, all the while employing the very thing for which the philosophical paradigm stands. — Mww
Still, don't you feel compelled to increase the comprehensiveness of your conceptualization? I mean, are you apathetic towards this particular type of knowledge as opposed to others, because you don't trust it is substantive? Or are you just indifferent towards the issue? I ask, because this is not how human curiosity generally operates. One could imagine what the world would be if Newton said - force is just a notion about a totality of interesting natural phenomenon and I don't have to investigate it any further.Mind is merely a word, a placeholder for some immaterial totality, a sort of catch-all that for which we have no better word. If I reduce my thinking to a unconditioned necessity, I arrive at mind. — Mww
Not really. I am accepting of the idea, that the plants that I eat, or even the doorknob on my door, may possess some extremely small amounts of consciousness. I do not think a world with clear cut distinctions is necessary for people to function in it. But I did concede that such distinctions might exist nonetheless - because, while I do believe that the relationship between the quantitative and qualitative properties of matter has to be smooth (organization, being equal), it does not have to be gradual.Maybe not, but see the quagmire up ahead? — bongo fury