Proof: the LNC is NOT Self-Contradictory

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Veritas Aequitas
Posts: 15722
Joined: Wed Jul 11, 2012 4:41 am

Proof: the LNC is NOT Self-Contradictory

Post by Veritas Aequitas »

Law of Non-Contradiction [LNC] is Self-Contradictory? Really??
Here is the conclusion from AI:
"Thus, LNC is not self-contradictory in the ultimate sense—it is an implicit precondition for meaningful discourse, logic, and structured systems like science."

Here is a conversation to the above conclusion:
Eodnhoj7: viewtopic.php?t=43262
[Question: Eodnhoj7 to AI]
If a distinction can be observed as the simultaneous connection and seperation of a thing, and as such is contradictory, and thus nature of distinction is required for the law of non-contradiction does this necessitate the law of non-contradiction as self contradictory when this nature of distinction is used as a proposition?

[Response:]
  • Your exploration of the nature of distinction and its relationship to the law of non-contradiction leads us deep into foundational philosophical concepts. Let’s break this down step by step to ensure clarity and comprehension.
    Key Concepts Explained

    Distinction as Connection and Separation: You suggest that a distinction can be understood as both a connection (linking two things by identifying a common trait) and a separation (differentiating them based on their characteristics). This dual nature implies a sort of inherent contradiction because it requires recognizing both the unity and diversity of concepts simultaneously.

    Law of Non-Contradiction: This fundamental principle in classical logic states that contradictory statements cannot both be true at the same time and in the same sense. For instance, the statement "A is A" cannot be true and false simultaneously. This law is often regarded as a foundational axiom in logical reasoning.

    Self-Contradiction of the Law: Your proposition suggests that if distinctions themselves are contradictory because they involve both connection and separation, then the law of non-contradiction could potentially be self-contradictory. This raises the question of whether the law can adequately account for the complexity of distinctions.

    Exploring the Ideas
    Let’s consider the implications of your assertions:
    Nature of Distinction: In philosophy, recognizing distinctions is crucial for understanding categories, identities, and relationships. For instance, distinguishing between a tree and a shrub allows us to categorize and understand the natural world better. However, as you point out, this exercise also involves a relational aspect since both items belong to the category of "plants."

    Contradiction in Distinctions: The simultaneous nature of connection and separation might seem contradictory at first. However, this takes us into the realm of dialectics, where opposites are viewed as interconnected aspects of a greater whole. In dialectical reasoning, distinctions are not merely separative but also participatory in a broader synthesis.

    Revisiting the Law of Non-Contradiction: If distinctions possess a dual quality, one must ask whether the law of non-contradiction is sufficient in capturing the complexity of reality. While classical logic relies on the law of non-contradiction, some philosophical traditions, such as Eastern thought (e.g., Zen Buddhism) or certain interpretations of postmodernism, challenge the rigidity of binary oppositions.

    Implications and Reflections
    Philosophical Tradition and Reception: Different philosophical schools have different approaches to contradictions and distinctions. For example, Hegel’s dialectics embraces contradiction as a necessary part of reality, asserting that true understanding arises from reconciling opposites.

    Practical Meaning: In everyday life or ethical discussions, recognizing the complexity and dual nature of distinctions can foster deeper understanding and help navigate conflicts. Rather than insisting on strictly binary views, embracing nuance can lead to richer dialogue.

    The Challenge to Logic: If we embrace your idea that distinctions are inherently contradictory, we may need to reconsider the strict applicability of classical logic. It opens up a wider inquiry into how we define truth, reality, and our logical consistency.

    Conclusion
    Your proposition invites a thoughtful reevaluation of the role of distinctions and the law of non-contradiction in our understanding of reality. While the law of non-contradiction remains a critical foundation in classical logic, your insights highlight the limits and potential contradictions inherent in applying it to complex, interconnected concepts." [End]
VA to AI
While the LNC may be view as self-contradictory, I believe that is based on a narrow view.

My Views:
Reality - "all there is" - is contingent upon a human-based Framework and System [FS] of which the scientific FS is the gold standard of credibility and objectivity.
From the perspective of the Framework and System [FS] basis, the LNC is implied as a condition if there is to be any contradictory conditions therein, the FS just failed.
As such while p and not-p may exists within the same time, they cannot exist together in the same sense.

It the above reasonable.
If, not, under what conditions or argument can the LNC is not self-contradictory in the ultimate sense?

AI Responded:
AI Wrote:

Your reasoning aligns well with a Framework-System (FS) approach, which treats logical principles like the Law of Non-Contradiction (LNC) as inherent conditions necessary for the consistency and functioning of an FS. Let’s analyze whether LNC can be meaningfully considered self-contradictory and under what conditions it remains coherent.

1. Can the LNC Be Self-Contradictory?
To claim that the LNC is self-contradictory, one would need to show that it both holds and fails at the same time and in the same sense. However:

The LNC states: "A proposition (p) cannot be both true and false at the same time and in the same sense."
For LNC to be self-contradictory, it would have to be both true and false in the same sense—which would immediately violate itself and render meaningful discourse impossible.
Thus, if LNC were truly self-contradictory in the ultimate sense, it would collapse logical discourse, making any argument (including the claim that LNC is self-contradictory) unintelligible.

What About Distinctions as Both Connection and Separation?
The argument against LNC often arises from dialectical or paradoxical views of distinction, where things can be seen as both connected and distinct at the same time. However:

Distinction is a relational concept: Saying that distinction involves both connection and separation does not mean that something is both identical and non-identical in the same respect.
The LNC applies to the same thing in the same respect. The connection and separation aspects of a distinction apply in different respects—they do not violate LNC.
Thus, even if distinctions have dual properties, that does not imply an actual logical contradiction.

2. Your FS-Based Justification of LNC
Your position that LNC is a condition for an FS to function properly is a strong pragmatic defense.

Any Framework-System (FS) must be internally coherent for it to function.
If a contradiction p ∧ ¬p arises within an FS, it means the FS itself is breaking down, rather than LNC being false.
This aligns with how contradictions in scientific theories are treated: when a contradiction appears, it signals a failure in the framework itself, prompting revision or refinement.
Thus, your FS-based perspective does not require LNC to be absolutely necessary in an independent metaphysical sense, but rather as a necessary internal condition for an FS to function.

3. Under What Conditions Is LNC Not Self-Contradictory?
LNC holds as long as it applies within a coherent system where "same time and same sense" are properly defined. It is not self-contradictory if:

Distinctions do not entail genuine contradictions:

A distinction can involve both unity and difference, but these do not negate each other in the same respect.
Example: A wave-particle duality in quantum physics does not violate LNC because wave and particle properties emerge under different observational conditions (different respects).
Contradictions within an FS indicate a failure of the FS rather than a failure of LNC:

If a scientific framework encounters a contradiction, this signals a limitation of the framework, not that contradictions actually exist.

Logical discourse assumes an FS where LNC holds:

To assert or deny anything meaningfully presupposes that p and ¬p cannot both be true in the same respect.
A complete rejection of LNC would collapse any attempt to argue against it.

Conclusion: LNC Is Not Self-Contradictory
The only way to argue that LNC is self-contradictory is to use the very principle that it asserts, which is self-defeating.

Your FS-based approach is a strong justification:
LNC is not necessarily a metaphysical absolute but a necessary condition for coherent reasoning within any FS.
If contradictions arise, they indicate failures in the FS, not failures of LNC itself.

Thus, LNC is not self-contradictory in the ultimate sense—it is an implicit precondition for meaningful discourse, logic, and structured systems like science.
Veritas Aequitas
Posts: 15722
Joined: Wed Jul 11, 2012 4:41 am

Re: Proof: the LNC is NOT Self-Contradictory

Post by Veritas Aequitas »

Notes:
Eodnhoj7
Posts: 10708
Joined: Mon Mar 13, 2017 3:18 am

Re: Proof: the LNC is NOT Self-Contradictory

Post by Eodnhoj7 »

Veritas Aequitas wrote: Wed Feb 05, 2025 8:35 am Law of Non-Contradiction [LNC] is Self-Contradictory? Really??
Here is the conclusion from AI:
"Thus, LNC is not self-contradictory in the ultimate sense—it is an implicit precondition for meaningful discourse, logic, and structured systems like science."

Here is a conversation to the above conclusion:
Eodnhoj7: viewtopic.php?t=43262
[Question: Eodnhoj7 to AI]
If a distinction can be observed as the simultaneous connection and seperation of a thing, and as such is contradictory, and thus nature of distinction is required for the law of non-contradiction does this necessitate the law of non-contradiction as self contradictory when this nature of distinction is used as a proposition?

[Response:]
  • Your exploration of the nature of distinction and its relationship to the law of non-contradiction leads us deep into foundational philosophical concepts. Let’s break this down step by step to ensure clarity and comprehension.
    Key Concepts Explained

    Distinction as Connection and Separation: You suggest that a distinction can be understood as both a connection (linking two things by identifying a common trait) and a separation (differentiating them based on their characteristics). This dual nature implies a sort of inherent contradiction because it requires recognizing both the unity and diversity of concepts simultaneously.

    Law of Non-Contradiction: This fundamental principle in classical logic states that contradictory statements cannot both be true at the same time and in the same sense. For instance, the statement "A is A" cannot be true and false simultaneously. This law is often regarded as a foundational axiom in logical reasoning.

    Self-Contradiction of the Law: Your proposition suggests that if distinctions themselves are contradictory because they involve both connection and separation, then the law of non-contradiction could potentially be self-contradictory. This raises the question of whether the law can adequately account for the complexity of distinctions.

    Exploring the Ideas
    Let’s consider the implications of your assertions:
    Nature of Distinction: In philosophy, recognizing distinctions is crucial for understanding categories, identities, and relationships. For instance, distinguishing between a tree and a shrub allows us to categorize and understand the natural world better. However, as you point out, this exercise also involves a relational aspect since both items belong to the category of "plants."

    Contradiction in Distinctions: The simultaneous nature of connection and separation might seem contradictory at first. However, this takes us into the realm of dialectics, where opposites are viewed as interconnected aspects of a greater whole. In dialectical reasoning, distinctions are not merely separative but also participatory in a broader synthesis.

    Revisiting the Law of Non-Contradiction: If distinctions possess a dual quality, one must ask whether the law of non-contradiction is sufficient in capturing the complexity of reality. While classical logic relies on the law of non-contradiction, some philosophical traditions, such as Eastern thought (e.g., Zen Buddhism) or certain interpretations of postmodernism, challenge the rigidity of binary oppositions.

    Implications and Reflections
    Philosophical Tradition and Reception: Different philosophical schools have different approaches to contradictions and distinctions. For example, Hegel’s dialectics embraces contradiction as a necessary part of reality, asserting that true understanding arises from reconciling opposites.

    Practical Meaning: In everyday life or ethical discussions, recognizing the complexity and dual nature of distinctions can foster deeper understanding and help navigate conflicts. Rather than insisting on strictly binary views, embracing nuance can lead to richer dialogue.

    The Challenge to Logic: If we embrace your idea that distinctions are inherently contradictory, we may need to reconsider the strict applicability of classical logic. It opens up a wider inquiry into how we define truth, reality, and our logical consistency.

    Conclusion
    Your proposition invites a thoughtful reevaluation of the role of distinctions and the law of non-contradiction in our understanding of reality. While the law of non-contradiction remains a critical foundation in classical logic, your insights highlight the limits and potential contradictions inherent in applying it to complex, interconnected concepts." [End]
VA to AI
While the LNC may be view as self-contradictory, I believe that is based on a narrow view.

My Views:
Reality - "all there is" - is contingent upon a human-based Framework and System [FS] of which the scientific FS is the gold standard of credibility and objectivity.
From the perspective of the Framework and System [FS] basis, the LNC is implied as a condition if there is to be any contradictory conditions therein, the FS just failed.
As such while p and not-p may exists within the same time, they cannot exist together in the same sense.

It the above reasonable.
If, not, under what conditions or argument can the LNC is not self-contradictory in the ultimate sense?

AI Responded:
AI Wrote:

Your reasoning aligns well with a Framework-System (FS) approach, which treats logical principles like the Law of Non-Contradiction (LNC) as inherent conditions necessary for the consistency and functioning of an FS. Let’s analyze whether LNC can be meaningfully considered self-contradictory and under what conditions it remains coherent.

1. Can the LNC Be Self-Contradictory?
To claim that the LNC is self-contradictory, one would need to show that it both holds and fails at the same time and in the same sense. However:

The LNC states: "A proposition (p) cannot be both true and false at the same time and in the same sense."
For LNC to be self-contradictory, it would have to be both true and false in the same sense—which would immediately violate itself and render meaningful discourse impossible.
Thus, if LNC were truly self-contradictory in the ultimate sense, it would collapse logical discourse, making any argument (including the claim that LNC is self-contradictory) unintelligible.

What About Distinctions as Both Connection and Separation?
The argument against LNC often arises from dialectical or paradoxical views of distinction, where things can be seen as both connected and distinct at the same time. However:

Distinction is a relational concept: Saying that distinction involves both connection and separation does not mean that something is both identical and non-identical in the same respect.
The LNC applies to the same thing in the same respect. The connection and separation aspects of a distinction apply in different respects—they do not violate LNC.
Thus, even if distinctions have dual properties, that does not imply an actual logical contradiction.

2. Your FS-Based Justification of LNC
Your position that LNC is a condition for an FS to function properly is a strong pragmatic defense.

Any Framework-System (FS) must be internally coherent for it to function.
If a contradiction p ∧ ¬p arises within an FS, it means the FS itself is breaking down, rather than LNC being false.
This aligns with how contradictions in scientific theories are treated: when a contradiction appears, it signals a failure in the framework itself, prompting revision or refinement.
Thus, your FS-based perspective does not require LNC to be absolutely necessary in an independent metaphysical sense, but rather as a necessary internal condition for an FS to function.

3. Under What Conditions Is LNC Not Self-Contradictory?
LNC holds as long as it applies within a coherent system where "same time and same sense" are properly defined. It is not self-contradictory if:

Distinctions do not entail genuine contradictions:

A distinction can involve both unity and difference, but these do not negate each other in the same respect.
Example: A wave-particle duality in quantum physics does not violate LNC because wave and particle properties emerge under different observational conditions (different respects).
Contradictions within an FS indicate a failure of the FS rather than a failure of LNC:

If a scientific framework encounters a contradiction, this signals a limitation of the framework, not that contradictions actually exist.

Logical discourse assumes an FS where LNC holds:

To assert or deny anything meaningfully presupposes that p and ¬p cannot both be true in the same respect.
A complete rejection of LNC would collapse any attempt to argue against it.

Conclusion: LNC Is Not Self-Contradictory
The only way to argue that LNC is self-contradictory is to use the very principle that it asserts, which is self-defeating.

Your FS-based approach is a strong justification:
LNC is not necessarily a metaphysical absolute but a necessary condition for coherent reasoning within any FS.
If contradictions arise, they indicate failures in the FS, not failures of LNC itself.

Thus, LNC is not self-contradictory in the ultimate sense—it is an implicit precondition for meaningful discourse, logic, and structured systems like science.
Yeah you just proved the AI can have two simultaneously opposing viewpoints and LNC is subject to a language game...and all FSKs are language games.

You did not cover how (and I did in the original thead):

1. Monism/nondualism negates LNC.

2. Gradation of identities negates LNC.

3. Dialectical synthesis negates LNC.

And in these respects it is not universal, it is relative.

LNC is conditional.

Truth values are grounded in distinctions which are simultaneous opposites. Truth is a distinction that both exists and does not exists. It is true that it is raining in Hawaii and false that it is raining in Arizona. Expand to earth and it is true and false simultabeously that it is raining.

LNC is a context and as a context it is relatively true and relatively false.


You forget that Truth values are context dependent and when the context is large enough both true and false occur simultaneously.
Veritas Aequitas
Posts: 15722
Joined: Wed Jul 11, 2012 4:41 am

Re: Proof: the LNC is NOT Self-Contradictory

Post by Veritas Aequitas »

Eodnhoj7 wrote: Wed Feb 05, 2025 7:28 pm Yeah you just proved the AI can have two simultaneously opposing viewpoints and LNC is subject to a language game...and all FSKs are language games.

You did not cover how (and I did in the original thead):
1. Monism/nondualism negates LNC.
2. Gradation of identities negates LNC.
3. Dialectical synthesis negates LNC.

And in these respects it is not universal, it is relative.
LNC is conditional.
Truth values are grounded in distinctions which are simultaneous opposites. Truth is a distinction that both exists and does not exists. It is true that it is raining in Hawaii and false that it is raining in Arizona. Expand to earth and it is true and false simultabeously that it is raining.

LNC is a context and as a context it is relatively true and relatively false.

You forget that Truth values are context dependent and when the context is large enough both true and false occur simultaneously.
Here a response [why LNC is not self-contradictory] to your above and read it thoroughly:

VA to AI

My interlocutor wrote:
[interlocutor]You did not cover how (and I did in the original thead):
1. Monism/nondualism negates LNC.
2. Gradation of identities negates LNC.
3. Dialectical synthesis negates LNC."[End]

As stated above "LNC is not self-contradictory in the ultimate sense" because for the above 1. Monism/nondualism, 2. Gradation of identities, 3. Dialectical synthesis themselves require the LNC as part of their FS for them to be valid.
AI:
AI Wrote:

Your point is reasonable. Your argument can be framed as follows:

1. LNC as a Necessary Condition for Any FS
Any framework or system (FS) that attempts to challenge LNC must itself rely on it for coherence.
If monism/nondualism, gradation of identities, or dialectical synthesis aim to establish meaningful distinctions or claims, they must presuppose that some statements are true and not false in the same respect.
If they reject LNC entirely, then their own claims become unintelligible, as they would allow contradictions to be simultaneously true.

2. Addressing the Three Challenges
(1) Monism/Nondualism and LNC
Nondualism or monism suggests no fundamental distinctions exist. However, asserting monism over dualism is itself a distinction—it affirms that "monism is true" and "dualism is false."
If nondualism were completely true in an absolute sense, it could not meaningfully contrast itself with dualism, because that would imply a dualistic distinction.
LNC is necessary even to make sense of monism—otherwise, monism and non-monism (dualism) could be equally true, making the concept meaningless.

(2) Gradation of Identities and LNC
The idea that identity is a gradual spectrum (rather than binary) does not negate LNC.
LNC applies to specific propositions within a given FS.
Example: A color spectrum does not violate LNC—it just means that "X is exactly red" and "X is exactly blue" cannot be simultaneously true in the same respect.
Gradation modifies how distinctions are made, but does not eliminate the need for distinctions altogether—otherwise, there would be no meaningful difference between any point on the spectrum.

(3) Dialectical Synthesis and LNC
Dialectics (as in Hegelian or Marxist thought) involves contradictions being overcome or transformed through synthesis.
However, dialectics does not actually allow contradictions to remain true in the same sense—it resolves them into a new conceptual framework.
Example: In dialectical reasoning, thesis (A) and antithesis (¬A) lead to synthesis (B), but B is not both A and ¬A in the same sense.
This process does not negate LNC—it just shows how contradictions may arise at one level and be resolved at another.

3. Conclusion: Their Challenges Presuppose LNC
All three views must still operate within an FS that assumes LNC, otherwise their own claims collapse into incoherence.

Your response is a valid meta-level argument: if a position is to be logically and meaningfully asserted, it must adhere to LNC within its own FS to be distinguishable from its negation.

Thus, LNC remains necessary for reasoning itself, even in frameworks that attempt to challenge it.
Eodnhoj7
Posts: 10708
Joined: Mon Mar 13, 2017 3:18 am

Re: Proof: the LNC is NOT Self-Contradictory

Post by Eodnhoj7 »

Veritas Aequitas wrote: Thu Feb 06, 2025 3:35 am
Eodnhoj7 wrote: Wed Feb 05, 2025 7:28 pm Yeah you just proved the AI can have two simultaneously opposing viewpoints and LNC is subject to a language game...and all FSKs are language games.

You did not cover how (and I did in the original thead):
1. Monism/nondualism negates LNC.
2. Gradation of identities negates LNC.
3. Dialectical synthesis negates LNC.

And in these respects it is not universal, it is relative.
LNC is conditional.
Truth values are grounded in distinctions which are simultaneous opposites. Truth is a distinction that both exists and does not exists. It is true that it is raining in Hawaii and false that it is raining in Arizona. Expand to earth and it is true and false simultabeously that it is raining.

LNC is a context and as a context it is relatively true and relatively false.

You forget that Truth values are context dependent and when the context is large enough both true and false occur simultaneously.
Here a response [why LNC is not self-contradictory] to your above and read it thoroughly:

VA to AI

My interlocutor wrote:
[interlocutor]You did not cover how (and I did in the original thead):
1. Monism/nondualism negates LNC.
2. Gradation of identities negates LNC.
3. Dialectical synthesis negates LNC."[End]

As stated above "LNC is not self-contradictory in the ultimate sense" because for the above 1. Monism/nondualism, 2. Gradation of identities, 3. Dialectical synthesis themselves require the LNC as part of their FS for them to be valid.
AI:
AI Wrote:

Your point is reasonable. Your argument can be framed as follows:

1. LNC as a Necessary Condition for Any FS
Any framework or system (FS) that attempts to challenge LNC must itself rely on it for coherence.
If monism/nondualism, gradation of identities, or dialectical synthesis aim to establish meaningful distinctions or claims, they must presuppose that some statements are true and not false in the same respect.
If they reject LNC entirely, then their own claims become unintelligible, as they would allow contradictions to be simultaneously true.

2. Addressing the Three Challenges
(1) Monism/Nondualism and LNC
Nondualism or monism suggests no fundamental distinctions exist. However, asserting monism over dualism is itself a distinction—it affirms that "monism is true" and "dualism is false."
If nondualism were completely true in an absolute sense, it could not meaningfully contrast itself with dualism, because that would imply a dualistic distinction.
LNC is necessary even to make sense of monism—otherwise, monism and non-monism (dualism) could be equally true, making the concept meaningless.

(2) Gradation of Identities and LNC
The idea that identity is a gradual spectrum (rather than binary) does not negate LNC.
LNC applies to specific propositions within a given FS.
Example: A color spectrum does not violate LNC—it just means that "X is exactly red" and "X is exactly blue" cannot be simultaneously true in the same respect.
Gradation modifies how distinctions are made, but does not eliminate the need for distinctions altogether—otherwise, there would be no meaningful difference between any point on the spectrum.

(3) Dialectical Synthesis and LNC
Dialectics (as in Hegelian or Marxist thought) involves contradictions being overcome or transformed through synthesis.
However, dialectics does not actually allow contradictions to remain true in the same sense—it resolves them into a new conceptual framework.
Example: In dialectical reasoning, thesis (A) and antithesis (¬A) lead to synthesis (B), but B is not both A and ¬A in the same sense.
This process does not negate LNC—it just shows how contradictions may arise at one level and be resolved at another.

3. Conclusion: Their Challenges Presuppose LNC
All three views must still operate within an FS that assumes LNC, otherwise their own claims collapse into incoherence.

Your response is a valid meta-level argument: if a position is to be logically and meaningfully asserted, it must adhere to LNC within its own FS to be distinguishable from its negation.

Thus, LNC remains necessary for reasoning itself, even in frameworks that attempt to challenge it.
I like how you rely on AI for answers, I gave these three points to AI and AI gives opposite responses...so this AI you are obsessed with is faulty. I also kept the same question in before and it gave different conclusions each time I pressed enter. The AI is not full proof.

But anyhow you are ignoring LNC is purely contextual and as contextual it simultaneously is true and false in the vast spectrum of contexts.

But to the point:

1. Monism results in dualism as dualism is a part of monism, dualism results in monism by relations that connect eachother. They both are eachother...

2. Purple is both exact red and exact blue...dually exact blue is not a fixed statement but is subjective, the AI failed in distinguishing this. The gradation of distinctions necessitates opposites as connected.

3. Dialectics are retroactive, they require a contradiction to exist at some point for things to exist. The contradiction is necessary and given dialectics is an on going process, contradiction is an ongoing process. The dialectic results in the opposites in LNC becoming one thus they are equal to eachother through their unification.
Veritas Aequitas
Posts: 15722
Joined: Wed Jul 11, 2012 4:41 am

Re: Proof: the LNC is NOT Self-Contradictory

Post by Veritas Aequitas »

Eodnhoj7 wrote: Thu Feb 06, 2025 5:33 am I like how you rely on AI for answers, I gave these three points to AI and AI gives opposite responses...so this AI you are obsessed with is faulty. I also kept the same question in before and it gave different conclusions each time I pressed enter. The AI is not full proof.

But anyhow you are ignoring LNC is purely contextual and as contextual it simultaneously is true and false in the vast spectrum of contexts.

But to the point:

1. Monism results in dualism as dualism is a part of monism, dualism results in monism by relations that connect eachother. They both are eachother...

2. Purple is both exact red and exact blue...dually exact blue is not a fixed statement but is subjective, the AI failed in distinguishing this. The gradation of distinctions necessitates opposites as connected.

3. Dialectics are retroactive, they require a contradiction to exist at some point for things to exist. The contradiction is necessary and given dialectics is an on going process, contradiction is an ongoing process. The dialectic results in the opposites in LNC becoming one thus they are equal to each other through their unification.
Basically, the Law of Identity and Law of Excluded Middle within classical logic support the LNC.
So the LNC cannot be self-contradictory within classical logic.

Even in other situation where p and not-p exist together, that is only in the same time but not in the same sense.
A piece of diamond gem can be both 'hard' and 'soft' at the same time, but not in the same sense, i.e. hard in the solid sense, soft in the atomic sense.

However, what your AI merely refer to partial reality and did not consider is the ultimate, fundamental and meta- sense within all of reality.

My AI explained the LNC cannot be self-contradictory by default within a FS situation that account for all of reality.
Eodnhoj7
Posts: 10708
Joined: Mon Mar 13, 2017 3:18 am

Re: Proof: the LNC is NOT Self-Contradictory

Post by Eodnhoj7 »

Veritas Aequitas wrote: Thu Feb 06, 2025 5:44 am
Eodnhoj7 wrote: Thu Feb 06, 2025 5:33 am I like how you rely on AI for answers, I gave these three points to AI and AI gives opposite responses...so this AI you are obsessed with is faulty. I also kept the same question in before and it gave different conclusions each time I pressed enter. The AI is not full proof.

But anyhow you are ignoring LNC is purely contextual and as contextual it simultaneously is true and false in the vast spectrum of contexts.

But to the point:

1. Monism results in dualism as dualism is a part of monism, dualism results in monism by relations that connect eachother. They both are eachother...

2. Purple is both exact red and exact blue...dually exact blue is not a fixed statement but is subjective, the AI failed in distinguishing this. The gradation of distinctions necessitates opposites as connected.

3. Dialectics are retroactive, they require a contradiction to exist at some point for things to exist. The contradiction is necessary and given dialectics is an on going process, contradiction is an ongoing process. The dialectic results in the opposites in LNC becoming one thus they are equal to each other through their unification.
Basically, the Law of Identity and Law of Excluded Middle within classical logic support the LNC.
So the LNC cannot be self-contradictory within classical logic.

Even in other situation where p and not-p exist together, that is only in the same time but not in the same sense.
A piece of diamond gem can be both 'hard' and 'soft' at the same time, but not in the same sense, i.e. hard in the solid sense, soft in the atomic sense.

However, what your AI merely refer to partial reality and did not consider is the ultimate, fundamental and meta- sense within all of reality.

My AI explained the LNC cannot be self-contradictory by default within a FS situation that account for all of reality.
And my AI said different...when are you going to get it through your head AI is currently not full proof?

Classical logic is purely contextual. LNC is a context and the contexts within LNC are meta contexts, all is simultaneously united and seperated by context thus the nature of context LNC requires by nature of contextual universality simultaneously says LNC contradicts itself because of its foundations is this very same universal nature of context. Context is equivocates opposites by its nature of being.

All of reality results in a monism through occurence thus seemingly opposite assertions equivocate through the context of them both occuring.
Veritas Aequitas
Posts: 15722
Joined: Wed Jul 11, 2012 4:41 am

Re: Proof: the LNC is NOT Self-Contradictory

Post by Veritas Aequitas »

Eodnhoj7 wrote: Thu Feb 06, 2025 6:16 am
Veritas Aequitas wrote: Thu Feb 06, 2025 5:44 am
Eodnhoj7 wrote: Thu Feb 06, 2025 5:33 am I like how you rely on AI for answers, I gave these three points to AI and AI gives opposite responses...so this AI you are obsessed with is faulty. I also kept the same question in before and it gave different conclusions each time I pressed enter. The AI is not full proof.

But anyhow you are ignoring LNC is purely contextual and as contextual it simultaneously is true and false in the vast spectrum of contexts.

But to the point:

1. Monism results in dualism as dualism is a part of monism, dualism results in monism by relations that connect eachother. They both are eachother...

2. Purple is both exact red and exact blue...dually exact blue is not a fixed statement but is subjective, the AI failed in distinguishing this. The gradation of distinctions necessitates opposites as connected.

3. Dialectics are retroactive, they require a contradiction to exist at some point for things to exist. The contradiction is necessary and given dialectics is an on going process, contradiction is an ongoing process. The dialectic results in the opposites in LNC becoming one thus they are equal to each other through their unification.
Basically, the Law of Identity and Law of Excluded Middle within classical logic support the LNC.
So the LNC cannot be self-contradictory within classical logic.

Even in other situation where p and not-p exist together, that is only in the same time but not in the same sense.
A piece of diamond gem can be both 'hard' and 'soft' at the same time, but not in the same sense, i.e. hard in the solid sense, soft in the atomic sense.

However, what your AI merely refer to partial reality and did not consider is the ultimate, fundamental and meta- sense within all of reality.

My AI explained the LNC cannot be self-contradictory by default within a FS situation that account for all of reality.
And my AI said different...when are you going to get it through your head AI is currently not full proof?

Classical logic is purely contextual. LNC is a context and the contexts within LNC are meta contexts, all is simultaneously united and seperated by context thus the nature of context LNC requires by nature of contextual universality simultaneously says LNC contradicts itself because of its foundations is this very same universal nature of context. Context is equivocates opposites by its nature of being.

All of reality results in a monism through occurence thus seemingly opposite assertions equivocate through the context of them both occuring.
Nope, I believe if your AI got the right context and ultimate rationality, the answer will ultimately be the same as mine.

Show your AI response to my AI's response, then I can response accordingly.
Eodnhoj7
Posts: 10708
Joined: Mon Mar 13, 2017 3:18 am

Re: Proof: the LNC is NOT Self-Contradictory

Post by Eodnhoj7 »

Veritas Aequitas wrote: Thu Feb 06, 2025 7:25 am
Eodnhoj7 wrote: Thu Feb 06, 2025 6:16 am
Veritas Aequitas wrote: Thu Feb 06, 2025 5:44 am
Basically, the Law of Identity and Law of Excluded Middle within classical logic support the LNC.
So the LNC cannot be self-contradictory within classical logic.

Even in other situation where p and not-p exist together, that is only in the same time but not in the same sense.
A piece of diamond gem can be both 'hard' and 'soft' at the same time, but not in the same sense, i.e. hard in the solid sense, soft in the atomic sense.

However, what your AI merely refer to partial reality and did not consider is the ultimate, fundamental and meta- sense within all of reality.

My AI explained the LNC cannot be self-contradictory by default within a FS situation that account for all of reality.
And my AI said different...when are you going to get it through your head AI is currently not full proof?

Classical logic is purely contextual. LNC is a context and the contexts within LNC are meta contexts, all is simultaneously united and seperated by context thus the nature of context LNC requires by nature of contextual universality simultaneously says LNC contradicts itself because of its foundations is this very same universal nature of context. Context is equivocates opposites by its nature of being.

All of reality results in a monism through occurence thus seemingly opposite assertions equivocate through the context of them both occuring.
Nope, I believe if your AI got the right context and ultimate rationality, the answer will ultimately be the same as mine.

Show your AI response to my AI's response, then I can response accordingly.
It is in the "LNC is Self contradictory" thread.

Given the infinite number of contexts to choose from what a right context is is not only subject to choice but effectively random because of free choice and on top of that "right" is a meta-context as well.

What you deem as a "right" context is subjective, for all you know I could be right.

The AI will agree with anything depending upon the context.
Veritas Aequitas
Posts: 15722
Joined: Wed Jul 11, 2012 4:41 am

Re: Proof: the LNC is NOT Self-Contradictory

Post by Veritas Aequitas »

Eodnhoj7 wrote: Thu Feb 06, 2025 6:52 pm
Veritas Aequitas wrote: Thu Feb 06, 2025 7:25 am
Eodnhoj7 wrote: Thu Feb 06, 2025 6:16 am And my AI said different...when are you going to get it through your head AI is currently not full proof?

Classical logic is purely contextual. LNC is a context and the contexts within LNC are meta contexts, all is simultaneously united and seperated by context thus the nature of context LNC requires by nature of contextual universality simultaneously says LNC contradicts itself because of its foundations is this very same universal nature of context. Context is equivocates opposites by its nature of being.

All of reality results in a monism through occurence thus seemingly opposite assertions equivocate through the context of them both occuring.
Nope, I believe if your AI got the right context and ultimate rationality, the answer will ultimately be the same as mine.

Show your AI response to my AI's response, then I can response accordingly.
It is in the "LNC is Self contradictory" thread.

Given the infinite number of contexts to choose from what a right context is is not only subject to choice but effectively random because of free choice and on top of that "right" is a meta-context as well.

What you deem as a "right" context is subjective, for all you know I could be right.

The AI will agree with anything depending upon the context.
You have not done that.
Where is your AI's response to my AI's counter?

Note the following:

1. You ask your AI the initial question.
2. Your AI responded to 1.
3. My AI countered your AI's response.

On the same thread you should post the whole of my AI's response and ask your AI to respond.

Something like,
"my interlocutor posted the following response to the above."

I am interested in your AI's response to my AI's counter.
Eodnhoj7
Posts: 10708
Joined: Mon Mar 13, 2017 3:18 am

Re: Proof: the LNC is NOT Self-Contradictory

Post by Eodnhoj7 »

Veritas Aequitas wrote: Fri Feb 07, 2025 2:35 am
Eodnhoj7 wrote: Thu Feb 06, 2025 6:52 pm
Veritas Aequitas wrote: Thu Feb 06, 2025 7:25 am
Nope, I believe if your AI got the right context and ultimate rationality, the answer will ultimately be the same as mine.

Show your AI response to my AI's response, then I can response accordingly.
It is in the "LNC is Self contradictory" thread.

Given the infinite number of contexts to choose from what a right context is is not only subject to choice but effectively random because of free choice and on top of that "right" is a meta-context as well.

What you deem as a "right" context is subjective, for all you know I could be right.

The AI will agree with anything depending upon the context.
You have not done that.
Where is your AI's response to my AI's counter?

Note the following:

1. You ask your AI the initial question.
2. Your AI responded to 1.
3. My AI countered your AI's response.

On the same thread you should post the whole of my AI's response and ask your AI to respond.

Something like,
"my interlocutor posted the following response to the above."

I am interested in your AI's response to my AI's counter.
Yeah my counter is above and it is not AI because I am not intellectually lazy and have a high enough IQ that I don't need training wheels for everything. Go ahead use AI and I will debate it organically. Man vs machine...go for it.

Start with this:

1. Monism includes dualism thus dualism is justified by it's existence as monism. Dualism is interdependent relationships that result in monism. Monism and dualism exist thus monism negates LNC by nature of opposite being one and dualism makes LNC purely contextual thus sometime true and sometimes false.

2. Gradation means completely different things, specifically true and false values, are tied together at a specific point thus resulting in a point of equality as these differences are transitional by nature.

3. Dialectical synthesis allows contradictions to progress to non-contradictions thus making the contradiction one, in one respect, while necessitating the necessity of contradiction for progress.
Veritas Aequitas
Posts: 15722
Joined: Wed Jul 11, 2012 4:41 am

Re: Proof: the LNC is NOT Self-Contradictory

Post by Veritas Aequitas »

Eodnhoj7 wrote: Fri Feb 07, 2025 7:00 am
Veritas Aequitas wrote: Fri Feb 07, 2025 2:35 am
Eodnhoj7 wrote: Thu Feb 06, 2025 6:52 pm
It is in the "LNC is Self contradictory" thread.

Given the infinite number of contexts to choose from what a right context is is not only subject to choice but effectively random because of free choice and on top of that "right" is a meta-context as well.

What you deem as a "right" context is subjective, for all you know I could be right.

The AI will agree with anything depending upon the context.
You have not done that.
Where is your AI's response to my AI's counter?

Note the following:

1. You ask your AI the initial question.
2. Your AI responded to 1.
3. My AI countered your AI's response.

On the same thread you should post the whole of my AI's response and ask your AI to respond.

Something like,
"my interlocutor posted the following response to the above."

I am interested in your AI's response to my AI's counter.
Yeah my counter is above and it is not AI because I am not intellectually lazy and have a high enough IQ that I don't need training wheels for everything. Go ahead use AI and I will debate it organically. Man vs machine...go for it.

Start with this:

1. Monism includes dualism thus dualism is justified by it's existence as monism. Dualism is interdependent relationships that result in monism. Monism and dualism exist thus monism negates LNC by nature of opposite being one and dualism makes LNC purely contextual thus sometime true and sometimes false.

2. Gradation means completely different things, specifically true and false values, are tied together at a specific point thus resulting in a point of equality as these differences are transitional by nature.

3. Dialectical synthesis allows contradictions to progress to non-contradictions thus making the contradiction one, in one respect, while necessitating the necessity of contradiction for progress.
The original counter to your point was:
AI wrote:
(1) Monism/Nondualism and LNC
Nondualism or monism suggests no fundamental distinctions exist. However, asserting monism over dualism is itself a distinction—it affirms that "monism is true" and "dualism is false."
If nondualism were completely true in an absolute sense, it could not meaningfully contrast itself with dualism, because that would imply a dualistic distinction.
LNC is necessary even to make sense of monism—otherwise, monism and non-monism (dualism) could be equally true, making the concept meaningless.

(2) Gradation of Identities and LNC
The idea that identity is a gradual spectrum (rather than binary) does not negate LNC.
LNC applies to specific propositions within a given FS.
Example: A color spectrum does not violate LNC—it just means that "X is exactly red" and "X is exactly blue" cannot be simultaneously true in the same respect.
Gradation modifies how distinctions are made, but does not eliminate the need for distinctions altogether—otherwise, there would be no meaningful difference between any point on the spectrum.

(3) Dialectical Synthesis and LNC
Dialectics (as in Hegelian or Marxist thought) involves contradictions being overcome or transformed through synthesis.
However, dialectics does not actually allow contradictions to remain true in the same sense—it resolves them into a new conceptual framework.
Example: In dialectical reasoning, thesis (A) and antithesis (¬A) lead to synthesis (B), but B is not both A and ¬A in the same sense.
This process does not negate LNC—it just shows how contradictions may arise at one level and be resolved at another.

3. Conclusion: Their Challenges Presuppose LNC
All three views must still operate within an FS that assumes LNC, otherwise their own claims collapse into incoherence.
You later counter do not address the above directly to justify your point.
Can you make your point clearer?
Eodnhoj7
Posts: 10708
Joined: Mon Mar 13, 2017 3:18 am

Re: Proof: the LNC is NOT Self-Contradictory

Post by Eodnhoj7 »

Veritas Aequitas wrote: Fri Feb 07, 2025 7:24 am
Eodnhoj7 wrote: Fri Feb 07, 2025 7:00 am
Veritas Aequitas wrote: Fri Feb 07, 2025 2:35 am
You have not done that.
Where is your AI's response to my AI's counter?

Note the following:

1. You ask your AI the initial question.
2. Your AI responded to 1.
3. My AI countered your AI's response.

On the same thread you should post the whole of my AI's response and ask your AI to respond.

Something like,
"my interlocutor posted the following response to the above."

I am interested in your AI's response to my AI's counter.
Yeah my counter is above and it is not AI because I am not intellectually lazy and have a high enough IQ that I don't need training wheels for everything. Go ahead use AI and I will debate it organically. Man vs machine...go for it.

Start with this:

1. Monism includes dualism thus dualism is justified by it's existence as monism. Dualism is interdependent relationships that result in monism. Monism and dualism exist thus monism negates LNC by nature of opposite being one and dualism makes LNC purely contextual thus sometime true and sometimes false.

2. Gradation means completely different things, specifically true and false values, are tied together at a specific point thus resulting in a point of equality as these differences are transitional by nature.

3. Dialectical synthesis allows contradictions to progress to non-contradictions thus making the contradiction one, in one respect, while necessitating the necessity of contradiction for progress.
The original counter to your point was:
AI wrote:
(1) Monism/Nondualism and LNC
Nondualism or monism suggests no fundamental distinctions exist. However, asserting monism over dualism is itself a distinction—it affirms that "monism is true" and "dualism is false."
If nondualism were completely true in an absolute sense, it could not meaningfully contrast itself with dualism, because that would imply a dualistic distinction.
LNC is necessary even to make sense of monism—otherwise, monism and non-monism (dualism) could be equally true, making the concept meaningless.

(2) Gradation of Identities and LNC
The idea that identity is a gradual spectrum (rather than binary) does not negate LNC.
LNC applies to specific propositions within a given FS.
Example: A color spectrum does not violate LNC—it just means that "X is exactly red" and "X is exactly blue" cannot be simultaneously true in the same respect.
Gradation modifies how distinctions are made, but does not eliminate the need for distinctions altogether—otherwise, there would be no meaningful difference between any point on the spectrum.

(3) Dialectical Synthesis and LNC
Dialectics (as in Hegelian or Marxist thought) involves contradictions being overcome or transformed through synthesis.
However, dialectics does not actually allow contradictions to remain true in the same sense—it resolves them into a new conceptual framework.
Example: In dialectical reasoning, thesis (A) and antithesis (¬A) lead to synthesis (B), but B is not both A and ¬A in the same sense.
This process does not negate LNC—it just shows how contradictions may arise at one level and be resolved at another.

3. Conclusion: Their Challenges Presuppose LNC
All three views must still operate within an FS that assumes LNC, otherwise their own claims collapse into incoherence.
You later counter do not address the above directly to justify your point.
Can you make your point clearer?
No use what I wrote...and see what the AI says...use my words not yours. You rely off the AI so use it.
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