A clerical doctrine such as Christianity has no model

[Belinda]

The fundamental problem with Christianity:

Quran 9:31. They take their priests and their anchorites to be their lords in derogation of Allah, and (they take as their Lord) Christ the son of Mary; yet they were commanded to worship but One Allah: there is no god but He. Praise and glory to Him: (Far is He) from having the partners they associate (with Him).

So, what is it about?

https://en.m.wikipedia.org/wiki/Magisterium

The magisterium of the Catholic Church is the church's authority or office to give authentic interpretation of the word of God, "whether in its written form or in the form of Tradition".[1][2][3] According to the 1992 Catechism of the Catholic Church, the task of interpretation is vested uniquely in the Pope and the bishops,[4] though the concept has a complex history of development.

The result of this clerical monopoly on interpretation is that Christian doctrine is inconsistent:

Martin Luther: I do not accept the authority of the popes and councils, for they have contradicted each other

Christian doctrine is an unusable theory without a model that gets incessantly re-axiomatized along the way and which keeps accumulating nonsense.

According to Tarski's semantic theory of truth, there is simply no truth in such doctrine:

ChatGPT: A theory with no model has no truth

The statement "A theory with no model has no truth" reflects an important concept in logic, mathematics, and philosophy, particularly within model theory. Here's what it means:

1. Theory and Model: A theory is a set of statements or propositions, typically expressed within a formal language, aimed at describing or explaining a domain. A model is a mathematical or conceptual structure that satisfies all the axioms and rules of the theory.

2. Truth in a Model: In formal logic, the truth of a theory is defined with respect to a model. A statement is considered "true" if it holds in at least one model of the theory.

3. No Model, No Truth: If a theory has no model (i.e., no possible structure in which its axioms are all simultaneously true), the theory is inconsistent or unsatisfiable. Without a model, the statements in the theory cannot correspond to any reality or valid structure, rendering them meaningless or "without truth" in a formal sense.

Implications

Consistency: For a theory to be meaningful, it must be consistent, ensuring the existence of at least one model.

Practical Application: In science and philosophy, theories gain their credibility by having models that correspond to observable phenomena or valid interpretations.

In essence, the statement underscores the importance of models as the foundation for establishing the truth or validity of a theory.

----gets incessantly re-axiomatized along the way and which keeps accumulating nonsense.

writes Godelian.
That is the strength of Christian doctrine, that it may be re-stated for each age. Jesus is like the unchanging and everlasting Sun ; the Sun's varying effects on the sundial are like the particular interpretations that pertain to different men and different cultures.

Nonsense that is accumulated is shed and more appropriate interpretations are created. Adapting is what men do except as and when the men are indoctrinated by rigid regime.

Quran 9. 31 implies objection to Trinitarianism not objection to God or to Jesus as an important prophet. There are a few Christians also who object to Trinitarianism.
Indeed Trinitarianism sometimes gives rise to idolatry of one or other of the Three Persons of the Trinity as against the unity of the Trinity.
Another objection to Trinitarianism is that a lot of people don't understand the Trinity: it's very poorly taught.

The statement "A theory with no model has no truth" reflects an important concept in logic, mathematics, and philosophy, particularly within model theory.

writes Godelian. There is a model which reflects back to us the light ---- the light viewed from different viewpoints and with different background tones and shades. There is no absolute way by which we may perceive light so we have to perceive light relative to its surroundings. "I am the light of the world" said Jesus.

[godelian]

If it can be encoded in first order logic it's a system that cannot adapt, grow, learn or self-rectify.

A blockchain cannot self-rectify its core mechanisms either. At the foundational level, you will eventually have to make some commitment. Infinite flexibility does not exist.

So yeah... that makes sense for Islam.

You have to look at the purpose of the system, i.e. offering a predicate that executes as:

Code: Select all

isHalal(x: humanBehavior): boolean

Islam does that perfectly fine.

That's a feature, not a bug. Self-modification/self-improvement necessarily entails being able to negate previous assertions.

Self-modification of code is also a massive security issue:

https://en.wikipedia.org/wiki/Self-modifying_code

Security issues

Because of the security implications of self-modifying code, all of the major operating systems are careful to remove such vulnerabilities as they become known. The concern is typically not that programs will intentionally modify themselves, but that they could be maliciously changed by an exploit.

One mechanism for preventing malicious code modification is an operating system feature called W^X (for "write xor execute"). This mechanism prohibits a program from making any page of memory both writable and executable. Some systems prevent a writable page from ever being changed to be executable, even if write permission is removed.[citation needed] Other systems provide a 'back door' of sorts, allowing multiple mappings of a page of memory to have different permissions. A relatively portable way to bypass W^X is to create a file with all permissions, then map the file into memory twice. On Linux, one may use an undocumented SysV shared memory flag to get executable shared memory without needing to create a file.

I'll take a contradictor/ adaptive system over a stagnant/consistent one any day.

If it serves a purpose for the user, and the functionality wanted, cannot be achieved in any other way, I am okay with self-modification.

Christianity doesn't succumb to the limits of formalization (semantic drift, linguistic relativity etc.)
Islam does.

Formalization imposes restrictions, but every construction logic does. Even a self-modifying system has restrictions on what modifications are allowed. Christianity is not malleable because of any advanced construction logic. Christianity is overly malleable because it needs this malleability to serve the interests of its clergy.

[Skepdick]

A blockchain cannot self-rectify its core mechanisms either. At the foundational level, you will eventually have to make some commitment. Infinite flexibility does not exist.

I am not talking about infinite flexibility. Any flexibility. More than zero. Axiomatic systems are constrained to their initial conditions.

You have to look at the purpose of the system, i.e. offering a predicate that executes as:

Code: Select all

isHalal(x: humanBehavior): boolean

Islam does that perfectly fine.

POSIWID.

Or in the case of Islam is what it doesn't or can't do. Adapt beyond its initial conditions.

Self-modification of code is also a massive security issue:

No, it's not. Code that can't self-modify can't be patched to address any security issues.

The very fact that you are identifying "secuirty issues" in your codification after the fact necessraily implies that codification has bugs.

Q.E.D

If it serves a purpose for the user, and the functionality wanted, cannot be achieved in any other way, I am okay with self-modification.

You certainly can't achieve it your way. You can't codify the self-healing/patching behaviour of your system.

Formalization imposes restrictions, but every construction logic does.

Precisely the point. Those restrictions are metaphysical. They aren't codified in the system.

Those restrictions are themselves subject to self-modification: losening or strengthening of restrictions.
You can't codify this exercise of judgment on when to be strict and when to be lenient when restricting.

Even a self-modifying system has restrictions on what modifications are allowed.

Precisely the point. Those restrictions themselves are not formalized/codified. They exist outside the dogma/doctrine.

The law of non-contradiction is precisely one of those kind of restrictions. A restriction that you have chosen to strictly enforce; and me - I don't care about non-contradiction. So in that regard it's a self-imposed constraint.

Christianity is not malleable because of any advanced construction logic. Christianity is overly malleable because it needs this malleability to serve the interests of its clergy.

No shit. Logic and codifications serves people, not the other way around. That's why Jesus railed against the Pharisees and their blind/strict adherence to formal religious law.

"The clergy" here isn't the formal institutions and naturally arising in any society; or the burreaucrats who get appointed in those roles e.g Pharisees.

The maleability of Christianity serves The Church e.g the body of Christians.

The whole point of Christianity is that there's no identifiable locus of control. Not doctrine, not religious councils, not scripture, not Pope, not tradition, not any given thing. It's the interaction of all those things as a unified whole.

It's a distributed consensus system without rules! That's why you need the Trinity. Because leader election is undecidable in 2-node systems.

[godelian]

You certainly can't achieve it your way. You can't codify the self-healing/patching behaviour of your system.

It's not a user requirement either.

The whole point of Christianity is that there's no identifiable locus of control. Not doctrine, not religious councils, not scripture, not Pope, not tradition, not any given thing. It's the interaction of all those things as a unified whole.

That is certainly not what the prosecutor of the papacy said to Luther at his trial.

[Skepdick]

You certainly can't achieve it your way. You can't codify the self-healing/patching behaviour of your system.

It's not a user requirement either.

Adaptation/self-rectification is not a user reuirement? Stagnation and maladaptation is a user requirement?

What a shitty system! Guess you can blame the users for the lousy requirements...

That is certainly not what the prosecutor of the papacy said to Luther at his trial.

Who cares? Every prosecutor has the authority of the legal system they operate within. Secular or not.

The Western Christians lost the plot thousands of years ago.

Christianity has fuckall aspirations into statecraft. Catholicism does. They even have their own country, FFS.

[godelian]

Adaptation/self-rectification is not a user reuirement? Stagnation and maladaptation is a user requirement?

What a shitty system! Guess you can blame the users for the lousy requirements...

My banking app does not self-rectify. Nor does my Bitcoin wallet. I don't think any app on my phone does. The libc API hasn't changed in fifty years, and the library doesn't self-rectify either. The users are not asking for that anyway.

Self-modifying code exists. It has its ver y specific niche applications. It's clearly the exception and not the rule.

[Skepdick]

My banking app does not self-rectify. Nor does my Bitcoin wallet. I don't think any app on my phone does. The libc API hasn't changed in fifty years, and the library doesn't self-rectify either. The users are not asking for that anyway.

Precisely. It's externally rectified. That's why we have versioning/commit histories/legacy code and all that jazz.

So you have failed to codify the rectification process. Which exists outside of the codification.

Self-modifying code exists.

Not really. Polymorphic code exists. It operates within codified limits. The logic changes - the meta-logic doesn't.

The functional information of your code (the criteria used to determine whether the code works or not) is always outside the code.

The meta-logic rectification process is still outside the system.

It has its ver y specific niche applications. It's clearly the exception and not the rule.

It's not niche at all. It's exactly what humans do. All the time. That's why code is never finished and requires constant maintenance/refactoring.

You mode of reasoning always get stuck at these question: what are the rules for changing the rules? What is the model for updating your model?

You need a meta-model for updating your model; a meta-meta model for updating your meta-model; a meta-meta-meta-model for updating your meta-meta-model...yay! infinite regress.

SIlly engineer - it's impossible to reify the complete control flow of humans being human.

[Eodnhoj7]

Christianity may have just as strong metaphysical grounding as Hinduism, Taoism and Buddhism.

The narratives in the Gospels indeed do have strong metaphysical grounding. What I write, cannot be understood as criticism of Christ. My criticism is about the faulty doctrine that the Church has created. In fact, I just repeat what Martin Luther has said about the matter:

Worms, Germany, 1521:

Martin Luther: If you can show me through scripture and reason that I am mistaken, I will retract what I have written.
Prosecutor on behalf of the Papacy: The Bible itself is the arsenal whence each heresiarch from the past has drawn his deceptive arguments.

Luther insisted on closure under logical consequence. The Papacy rejected Luther's argument. The Papacy does not allow closure under logical consequence. Therefore, in line with what Luther argued, we can only conclude that Christian doctrine is inconsistent, contradictory, and simply has no model.

Fair enough, having studied in seminary for two years to become and Eastern Rite Catholic priest, I am more than aware of the corruption and flat out idiocy of the majority of organized religion. It is one of the reasons I left and applied myself to philosophy.

Current organized religion has a very poor metaphysical grounding. Aristotle is a joke in certain respects.

[Veritas Aequitas]

While Islam may have a relatively structured and codified approach compared to some other religions, it is still a theological and existential framework that operates with symbolic, interpretive, and faith-based dimensions. These are not inherently compatible with Tarski's formal requirements.
For example:

Many Islamic truths are rooted in metaphysical claims (e.g., the existence of Allah, divine will, and the afterlife), which cannot be empirically modeled.

Islamic jurisprudence ("fiqh") is about behavior being permissible or not. A computer can, of course, not deal with the metaphysical claims in a religion.

Language models like GPT do not fulfill these requirements; they approximate linguistic patterns, not logical truths.

They behave sufficiently as a formal jurisprudence system that explicit formalization is a mere detail to be added. These details can be added for Islam but not for Christianity.

The OP argument is
"A clerical doctrine such as Christianity has no model",
is false, i.e. Christianity fundamentally need not be 'clerical'.
in general Christianity is contingent upon a model, i.e. a Framework and System.
thus your whole OP is false.

4. Tarski’s Model and Practicality for Islam
In Theory:
It might be possible to apply model-theoretic principles to specific, well-defined aspects of Islam, such as legal rulings in Fiqh (Islamic jurisprudence), where rules and principles are explicitly stated and derived from sources.
Example: Evaluating whether a particular legal judgment aligns logically with Qur'anic verses and Hadith could be modeled.

IslamGPT does that indeed already. Islamic jurisprudence is a formal system that can be implemented completely as an automated proof assistant.

Religion is about spirituality and morality. Only the part about morality can be systematized into a formal system. This can be done for Islam but not for Christianity.

That Islamic jurisprudence can be applied within the Taski Model should not be an issue.

As I had stated, Christianity is also model-based, i.e. within the Christianity Framework and System or its sub-systems depending on the specific conditions selected which can be clerical or non-clerical.

The serious question is whether the model adopted conform to morality proper.

The model or Framework and System of Islamic 'morality' is loaded with evil-laden elements thus not in alignment with natural morality-proper, e.g. Q5:33 has the potential to exterminate the human species.

On the other hand, the Christianity moral model is more align [not fully] with morality-proper, i.e. it has an overriding pacifist maxim, 'love all, even enemies', 'give the other cheek' and the like.

Christianity is Idiot-Proof, Islam is Not
viewtopic.php?t=43455

[godelian]

"A clerical doctrine such as Christianity has no model",
is false, i.e. Christianity fundamentally need not be 'clerical'.
in general Christianity is contingent upon a model, i.e. a Framework and System.
thus your whole OP is false.

There is no Christian denomination that proposes a doctrine that is closed under logical consequence or that is free from contradictions. They have all inherited the accumulated nonsense from the past.

For example, the patriarchs mentioned in the Bible are deemed examples to emulate. There is no Christian denomination that condemns the patriarchs as sinners. Most of them were polygamous. So, Christians could emulate them by marrying multiple wives. Well no, every Christian denomination will instead invent an inconsistent explanation as to why logic must be overruled in this case.

This is just one example of the nonsense invented by the Christian clergy that was accumulated and inherited over time. The Christian doctrine does not make sense and will never make sense. Closing the doctrine under logical consequence is simply impossible.

As I had stated, Christianity is also model-based

A doctrine cannot have a model, as model-theoretically defined by Tarski, if it is inconsistent or contradictory. Hence, model-theoretically, Christianity has no model.

ChatGPT: Can an inconsistent or contradictory theory have a model?

An inconsistent or contradictory theory cannot have a model in the traditional sense of model theory, where a "model" is a mathematical structure that satisfies all the statements (axioms) of the theory. Here's why:

Key Concepts:

1. Consistency: A theory is consistent if it does not lead to a contradiction; that is, there is no statement such that both and can be derived from the theory.

2. Model: A model of a theory is a structure in which all axioms and theorems of the theory hold true.

Why Inconsistent Theories Lack Models:

In classical logic, an inconsistent theory allows for the derivation of any statement (this is called the principle of explosion: , for any ).

If any statement can be derived, then the axioms of the theory would hold in no structure, because the theory would require the structure to satisfy contradictory conditions.

Exceptions and Contexts:

1. Paraconsistent Logic: In non-classical logics, such as paraconsistent logic, contradictory theories can have models because these logics reject the principle of explosion. In such frameworks, a model might satisfy some but not all contradictory statements.

2. Trivial Model: If you relax the requirement that models must avoid contradictions, then one could argue that any structure could be trivially a "model" of an inconsistent theory, but this is not useful or meaningful in classical logic.

Conclusion:

In the standard framework of classical logic and model theory, an inconsistent or contradictory theory does not have a model. However, in alternative logical systems, the concept of "having a model" may be interpreted differently, allowing for exceptions.

A para-consistent doctrine can still have a legitimate model. That is the genius of Buddhist logic and its Catuskoti system.

The Christian doctrine, however, is inconsistent and contradictory and does not satisfy in any shape or fashion the strict requirements that govern the system of Buddhist four-valued logic.

Google AI: is buddhist logic paraconsistent?

Yes, Buddhist logic, particularly when considering the concept of "Catuṣkoṭi," is often considered to be paraconsistent, as it allows for the possibility of a statement and its negation being simultaneously true in certain contexts, which is a key feature of paraconsistent logic.

Graham Priest's work on Buddhist logic explores the catuskoti, or tetralemma, which is a principle in early Buddhist logic. The catuskoti states that any given situation can be described as true, false, both true and false, or neither true nor false. Priest's work uses paraconsistent logic to make sense of the catuskoti.

Paraconsistent logic: Paraconsistent logic is a type of logic that can make sense of the catuskoti. Priest uses first-degree entailment (FDE), a type of paraconsistent logic, to explain the catuskoti.

Unlike Buddhism, Christian doctrine does not have the intellectual wherewithal to deal with paraconsistent logic:

https://en.m.wikipedia.org/wiki/Three-valued_logic

Below is a set of truth tables showing the logic operations for Stephen Cole Kleene's "strong logic of indeterminacy" and Graham Priest's "logic of paradox".

If the truth values 1, 0, and -1 are interpreted as integers, these operations may be expressed with the ordinary operations of arithmetic (where x + y uses addition, xy uses multiplication, and x2 uses exponentiation), or by the minimum/maximum functions.

In these truth tables, the unknown state can be thought of as neither true nor false in Kleene logic, or thought of as both true and false in Priest logic. The difference lies in the definition of tautologies. Where Kleene logic's only designated truth value is T, Priest logic's designated truth values are both T and U.

While the paradoxes in Buddhist logic satisfy the intricate rules of three-value algebra and allow for the existence of a legitimate model, the contradictions in Christian doctrine are in violation of these rules, brutally destroy its model, and lead to the elimination of any possible truth that could otherwise be associated with its theory.

[Veritas Aequitas]

"A clerical doctrine such as Christianity has no model",
is false, i.e. Christianity fundamentally need not be 'clerical'.
in general Christianity is contingent upon a model, i.e. a Framework and System.
thus your whole OP is false.

There is no Christian denomination that proposes a doctrine that is closed under logical consequence or that is free from contradictions. They have all inherited the accumulated nonsense from the past.

For example, the patriarchs mentioned in the Bible are deemed examples to emulate. There is no Christian denomination that condemns the patriarchs as sinners. Most of them were polygamous. So, Christians could emulate them by marrying multiple wives. Well no, every Christian denomination will instead invent an inconsistent explanation as to why logic must be overruled in this case.

This is just one example of the nonsense invented by the Christian clergy that was accumulated and inherited over time. The Christian doctrine does not make sense and will never make sense. Closing the doctrine under logical consequence is simply impossible.

As I had stated, Christianity is also model-based

A doctrine cannot have a model, as model-theoretically defined by Tarski, if it is inconsistent or contradictory. Hence, model-theoretically, Christianity has no model.

ChatGPT: Can an inconsistent or contradictory theory have a model?

...

In the standard framework of classical logic and model theory, an inconsistent or contradictory theory does not have a model. However, in alternative logical systems, the concept of "having a model" may be interpreted differently, allowing for exceptions.

Why is this conclusion from AI on my views not going into your head?

AI to VA

Summary:
X's point criticizes Christianity as incompatible with the rigid requirements of Tarski's semantic theory of truth and logical deduction, labeling it inconsistent and nonsensical due to doctrinal changes.
In contrast, your argument reframes Christianity as a coherent FS-model, with the New Covenant and the Gospels providing its foundational structure.
Within this framework, truth is not defined by formal logic but by relational and covenantal coherence, which allows for interpretive flexibility without devolving into "nonsense."

It is obvious, with contradictions in whatever the model, it cannot convey truths in relation to those contradictory statements.

However, my main point is all Christian denominations are contingent upon the main model of Christianity, i.e. constituted upon the Gospels where the essence is not contradictory within the model. If the sub-model has contradictions, that has no effect on the main model.

Note Islamic model is constituted by the Quran where it is loaded with contradictions. If this main model is full of contradictions, it follows the jurisprudence is flawed.

https://wikiislam.net/wiki/Contradictions_in_the_Quran

1 Parallel narrative passages
1.1 The forgiveness of Adam
1.2 Timing of Allah's instructions to Noah
1.3 Abraham and the idols
1.4 Abraham and the Angels
1.5 Lot and the angels
1.6 Response from Lot's people
1.7 Moses meets Allah at the fire
1.8 Moses expresses his fears and asks Allah about Aaron
1.9 How should Moses describe Allah to Pharaoh?
1.10 Pharaoh and his Chiefs
1.11 Who believed in Moses?
1.12 Were Pharaoh's army covered by or thrown into the sea?
1.13 Moses berates Aaron about the golden calf
1.14 Did Moses's speech impediment get fixed?
1.15 The destruction of Thamud
1.16 The destruction of Aad
1.17 Was Jonah cast onto the shore?
2 Allah
2.1 Where is Allah?
2.2 Can Allah be seen?
2.3 Could Allah have a child?
2.4 Is Allah kind and merciful?
2.5 Does Allah forgive worshipping other gods/shirk?
2.6 Can anyone change the word of Allah?
3 Angels and demons
3.1 How many angels helped Muhammad at Badr?
3.2 Who could Allah send as messengers (rasulan)?
3.3 Was Iblīs an angel or a jinn?
4 Creation
4.1 Which was created first; the Heaven or Earth?
4.2 How many days did it take Allah to create heaven and earth?
4.3 How long does it take Allah to create?
5 Day of Judgement (Qiyamah)
5.1 Will disbelievers speak on Qiyamah?
5.2 Will the disbelievers be blind on the day of resurrection?
5.3 How long will the unbelievers think they remained on Earth?
5.4 How many blowings of the trumpet on Qiyamah
6 Evil
6.1 Does evil come from Allah?
7 Heaven and Hell
7.1 Is intercession possible on the last day?
7.2 Will non-Muslims go to hell forever?
7.3 What will be the food in hell?
8 Mankind
8.1 Could someone bear another's burden?
8.2 Who takes people's souls?
9 Muslims
9.1 Who was the first Muslim (submitter)?
9.2 How strong is a believer?
9.3 Can you eat non-halal meat?
9.4 How bad is drinking wine?
9.5 How many sacred months are there?
10 Non-Muslims
10.1 Can people be compelled to follow Islam?
10.2 Will Allah reward the good deeds of everyone?
10.3 Who sends disbelievers astray?
10.4 How should disbelievers be treated?
10.5 Are Jews God's chosen people?
11 People of the Book
11.1 How are Christians towards the believers?
12 Sex
12.1 Is incest okay?
12.2 Can multiple wives be dealt with justly?
13 Qur'an
13.1 Who brought revelation to Muhammad?
13.2 Is the Quran clear?
14 Quran Variants
15 Miscellaneous
15.1 How long does it take to wean?
15.2 The moon was split
15.3 What are the shares in an inheritance?

[Eodnhoj7]

"A clerical doctrine such as Christianity has no model",
is false, i.e. Christianity fundamentally need not be 'clerical'.
in general Christianity is contingent upon a model, i.e. a Framework and System.
thus your whole OP is false.

There is no Christian denomination that proposes a doctrine that is closed under logical consequence or that is free from contradictions. They have all inherited the accumulated nonsense from the past.

For example, the patriarchs mentioned in the Bible are deemed examples to emulate. There is no Christian denomination that condemns the patriarchs as sinners. Most of them were polygamous. So, Christians could emulate them by marrying multiple wives. Well no, every Christian denomination will instead invent an inconsistent explanation as to why logic must be overruled in this case.

This is just one example of the nonsense invented by the Christian clergy that was accumulated and inherited over time. The Christian doctrine does not make sense and will never make sense. Closing the doctrine under logical consequence is simply impossible.

As I had stated, Christianity is also model-based

A doctrine cannot have a model, as model-theoretically defined by Tarski, if it is inconsistent or contradictory. Hence, model-theoretically, Christianity has no model.

ChatGPT: Can an inconsistent or contradictory theory have a model?

An inconsistent or contradictory theory cannot have a model in the traditional sense of model theory, where a "model" is a mathematical structure that satisfies all the statements (axioms) of the theory. Here's why:

Key Concepts:

1. Consistency: A theory is consistent if it does not lead to a contradiction; that is, there is no statement such that both and can be derived from the theory.

2. Model: A model of a theory is a structure in which all axioms and theorems of the theory hold true.

Why Inconsistent Theories Lack Models:

In classical logic, an inconsistent theory allows for the derivation of any statement (this is called the principle of explosion: , for any ).

If any statement can be derived, then the axioms of the theory would hold in no structure, because the theory would require the structure to satisfy contradictory conditions.

Exceptions and Contexts:

1. Paraconsistent Logic: In non-classical logics, such as paraconsistent logic, contradictory theories can have models because these logics reject the principle of explosion. In such frameworks, a model might satisfy some but not all contradictory statements.

2. Trivial Model: If you relax the requirement that models must avoid contradictions, then one could argue that any structure could be trivially a "model" of an inconsistent theory, but this is not useful or meaningful in classical logic.

Conclusion:

In the standard framework of classical logic and model theory, an inconsistent or contradictory theory does not have a model. However, in alternative logical systems, the concept of "having a model" may be interpreted differently, allowing for exceptions.

A para-consistent doctrine can still have a legitimate model. That is the genius of Buddhist logic and its Catuskoti system.

The Christian doctrine, however, is inconsistent and contradictory and does not satisfy in any shape or fashion the strict requirements that govern the system of Buddhist four-valued logic.

Google AI: is buddhist logic paraconsistent?

Yes, Buddhist logic, particularly when considering the concept of "Catuṣkoṭi," is often considered to be paraconsistent, as it allows for the possibility of a statement and its negation being simultaneously true in certain contexts, which is a key feature of paraconsistent logic.

Graham Priest's work on Buddhist logic explores the catuskoti, or tetralemma, which is a principle in early Buddhist logic. The catuskoti states that any given situation can be described as true, false, both true and false, or neither true nor false. Priest's work uses paraconsistent logic to make sense of the catuskoti.

Paraconsistent logic: Paraconsistent logic is a type of logic that can make sense of the catuskoti. Priest uses first-degree entailment (FDE), a type of paraconsistent logic, to explain the catuskoti.

Unlike Buddhism, Christian doctrine does not have the intellectual wherewithal to deal with paraconsistent logic:

https://en.m.wikipedia.org/wiki/Three-valued_logic

Below is a set of truth tables showing the logic operations for Stephen Cole Kleene's "strong logic of indeterminacy" and Graham Priest's "logic of paradox".

If the truth values 1, 0, and -1 are interpreted as integers, these operations may be expressed with the ordinary operations of arithmetic (where x + y uses addition, xy uses multiplication, and x2 uses exponentiation), or by the minimum/maximum functions.

In these truth tables, the unknown state can be thought of as neither true nor false in Kleene logic, or thought of as both true and false in Priest logic. The difference lies in the definition of tautologies. Where Kleene logic's only designated truth value is T, Priest logic's designated truth values are both T and U.

While the paradoxes in Buddhist logic satisfy the intricate rules of three-value algebra and allow for the existence of a legitimate model, the contradictions in Christian doctrine are in violation of these rules, brutally destroy its model, and lead to the elimination of any possible truth that could otherwise be associated with its theory.

I am not sure, given the nature of existence as a whole, ruling out paradox is effectively logical given it is an occurence. If there is a logical system representing the existential experience than the full range of paradox is a necessary element.

The "New Four Foundational Identity Laws" thread sets identity axioms that allow for paradox and contradiction as they are 'occurences'. Quite frankly I find paradox a necessary element of logical argument as it acts as both a transcendental means and a means of transition from strict binary thinking. Now of course this has Eastern elements to it, but given the globalization of thought there has to be a medium, at one point or another, between East and West.

Now while I agree that current clerical Christianity has poor logical foundations it is not necessarily a religion that argues a deep metaphysics. It is just not it's nature and given that I am not sure it is logical to argue it has to fit in one paradigm or another. Now this does not negate that there cannot be a metaphysics but ironically enough it's systems are based upon paganism and these models are weak.

Your thoughts?

[godelian]

ChatGPT: Can an inconsistent or contradictory theory have a model?
In the standard framework of classical logic and model theory, an inconsistent or contradictory theory does not have a model. However, in alternative logical systems, the concept of "having a model" may be interpreted differently, allowing for exceptions.

Why is this conclusion from AI on my views not going into your head?

AI to VA

Summary:
X's point criticizes Christianity as incompatible with the rigid requirements of Tarski's semantic theory of truth and logical deduction, labeling it inconsistent and nonsensical ...

What is your problem with this? Christianity does not have a model-theoretical model. I do not care that you find these requirements "rigid". On the contrary, "rigid" requirements are necessary in order to nip mere word salads in the bud.

[godelian]

I am not sure, given the nature of existence as a whole, ruling out paradox is effectively logical given it is an occurence. If there is a logical system representing the existential experience than the full range of paradox is a necessary element.

The "New Four Foundational Identity Laws" thread sets identity axioms that allow for paradox and contradiction as they are 'occurences'. Quite frankly I find paradox a necessary element of logical argument as it acts as both a transcendental means and a means of transition from strict binary thinking. Now of course this has Eastern elements to it, but given the globalization of thought there has to be a medium, at one point or another, between East and West.

Buddhist logic can indeed handle an impressive number of paradoxes. It turns out to be very careful in how exactly it does that. It is fully compliant with the algebraic restrictions on the matter.

Now while I agree that current clerical Christianity has poor logical foundations it is not necessarily a religion that argues a deep metaphysics. It is just not it's nature and given that I am not sure it is logical to argue it has to fit in one paradigm or another. Now this does not negate that there cannot be a metaphysics but ironically enough it's systems are based upon paganism and these models are weak.
Your thoughts?

I believe that the Gospels are deeply metaphysical. I am not criticizing the narrative of the life of Christ. It is just that the Christian clergy ended up accumulating inconsistencies and contradictions in its ulterior doctrine. They should not invent all of that. They keep adding all kinds of nonsensical concoctions. My criticism is about the centralized Christian clergy and the body of invented nonsense that they have accumulated over their history. It simply does not add up anymore.

[Veritas Aequitas]

ChatGPT: Can an inconsistent or contradictory theory have a model?
In the standard framework of classical logic and model theory, an inconsistent or contradictory theory does not have a model. However, in alternative logical systems, the concept of "having a model" may be interpreted differently, allowing for exceptions.

Why is this conclusion from AI on my views not going into your head?

AI to VA

Summary:
X's point criticizes Christianity as incompatible with the rigid requirements of Tarski's semantic theory of truth and logical deduction, labeling it inconsistent and nonsensical ...

What is your problem with this? Christianity does not have a model-theoretical model. I do not care that you find these requirements "rigid". On the contrary, "rigid" requirements are necessary in order to nip mere word salads in the bud.

That is merely your opinions based on the worst word salads from your holy texts.

See
An Operational Model [FS-based] for Christianity
viewtopic.php?t=43463