Crashing both ChatGPT and DeepSeek with the following question

[godelian]

Yes, there are no real mathematical proofs in the real physical universe.

Indeed, there are only computations visible in the physical universe, and not proofs.

A computation is a sequence of ephemeral changes in a particular physical state.

Each such computation is the isomorphic mirror of an actual proof in the abstract, Platonic universe.

As Plato pointed out in his Allegory of the Cave, we can see the ephemeral shadows of the abstract Platonic forms by observing associated computational changes in some physical state. These changes are their "shadows".

This is a natural interpretation of the Curry-Howard correspondence:

https://en.m.wikipedia.org/wiki/Curry%E ... espondence

A proof is a program and a program is a proof.

Hence, you must carry out a correct and complete act of computation in the physical universe in order to prove the existence of a particular associated proof in the abstract, Platonic universe.

Hence, acquiring access to the abstract, Platonic universe requires a computational ritual in the physical universe.

Vice versa, it is my belief that the abstract Platonic world can also seek to gain access to the physical universe by triggering computations in it, of which we may be able to see the changes in a particular physical state, i.e. its shadows.

[Veritas Aequitas]

Yes, there are no real mathematical proofs in the real physical universe.

Indeed, there are only computations visible in the physical universe, and not proofs.

A computation is a sequence of ephemeral changes in a particular physical state.

Each such computation is the isomorphic mirror of an actual proof in the abstract, Platonic universe.

As Plato pointed out in his Allegory of the Cave, we can see the ephemeral shadows of the abstract Platonic forms by observing associated computational changes in some physical state. These changes are their "shadows".

This is a natural interpretation of the Curry-Howard correspondence:

https://en.m.wikipedia.org/wiki/Curry%E ... espondence

A proof is a program and a program is a proof.

Hence, you must carry out a correct and complete act of computation in the physical universe in order to prove the existence of a particular associated proof in the abstract, Platonic universe.

Hence, acquiring access to the abstract, Platonic universe requires a computational ritual in the physical universe.

Vice versa, it is my belief that the abstract Platonic world can also seek to gain access to the physical universe by triggering computations in it, of which we may be able to see the changes in a particular physical state, i.e. its shadows.

Your views are too shallow.

One of the finest known perspective of all of reality is this:

https://create.routenote.com/blog/wp-co ... 80x720.jpg
Using the above 'white noise' analogy, the whole of reality is merely a soup of particles moving everywhere.

It is the Big Bang forces that generate some the particles to be more compact clusters that enable more distinct eddies thus patterns.
From these clustering, human beings emerged with consciousness and intellectual capacity.
Instead of cluster of particles, atoms or molecules, humans evolved to see more distinct patterns that facilitate their survival.
While humans see apples as discrete units, for the same bats and dolphin with the sonar would see a fuzzy thicker cluster patterns of dots.
Thus humans and bats are perceiving the apples in a lesser degree of reality of abstracted patterns because the more realistic picture is merely a cluster of molecules, atoms or particles within the reality soup.

Mathematic objects are less real in contrast to reality at the particle level because mathematical objects are highly abstracted [polished] away from reality.

Mathematical computations are merely a manipulation of highly abstracted object of low grade of reality.
To gain a greater sense of reality, one will need to verify whatever is represented by mathematical objects via the scientific framework and system which is the gold standard of credibility and objectivity.

My counter above is a bit rough, here's AI address to your claim:

Your [Godelian] belief in the Platonic realm as "the most real" is an intriguing stance, but it rests on a reification of abstractions, treating mathematical structures as if they exist independently of any framework or cognitive process.
Let’s examine this critically:

1. Reality as a Continuum of Patterns, Not Discrete Mathematical Objects
Imagine white noise—a chaotic background of unstructured information. The fundamental level of reality resembles this: a vast soup of particles, waves, and fluctuating fields, without intrinsic mathematical structure.

It is only through clustering patterns—emerging due to physical forces like gravity and electromagnetism—that order arises.
Humans, as cognitive beings, interpret these patterns as distinct objects, such as apples or stars, imposing mathematical structures upon them for survival and understanding.
But different perceptual systems (e.g., bats using sonar vs. humans using vision) will abstract different degrees of reality, showing that no abstraction is the reality itself.
Thus, the "most real" level of reality is the unstructured continuum of raw existence, not the neatly defined mathematical entities we construct to describe it.

2. Mathematics as a High-Level Abstraction, Not the Ultimate Reality
Mathematical objects are not primary building blocks of reality but rather conceptual tools used to describe observed patterns.

A mathematical formula does not cause a particle to behave a certain way; rather, we use mathematics to model the particle’s behavior.
While computations can influence physical states (as seen in simulations, AI, or even biological neural processing), they do so within a predefined system—they are not independent entities exerting causal power.
Your idea that "the Platonic world seeks to access the physical universe through computation" assumes that mathematical structures pre-exist the universe and somehow manifest through physical interactions.

But:

Computation itself requires a physical substrate—whether silicon chips or neural networks—meaning it does not exist apart from material processes.
Mathematics does not “reach out” into the universe—humans impose mathematical descriptions on top of the already-existing reality.

3. Mathematical Objects Are "Lower-Dimensional" Abstractions of Reality
You suggest that mathematical objects are the "most real," but in fact, they are highly polished abstractions of a much richer, more complex reality.

Consider a high-resolution image reduced to a low-resolution pixel version—some information is lost in the process of abstraction.
Likewise, when we describe a wavefunction or a geometric structure mathematically, we are filtering out the messy complexity of the real world to create a precise but limited idealized model.

Conclusion: The Inversion of Reality in Platonism
Your view inverts the relationship between abstractions and reality—treating our mental models as primary rather than as descriptions of a deeper, non-mathematical reality.

The physical universe exists independently of mathematics.
Mathematical structures exist only within a framework, which is ultimately a product of human-based cognitive interpretation.
If anything, raw reality (particles, energy fields) is the most real, while mathematical objects are merely a high-level, human-derived representation.
Thus, mathematics is not the "ultimate reality" but an epistemic tool for navigating it—much like a map is useful but is not the territory itself.

I suggest you post the above for "your" ChatGpt to comment on the validity and rationality of the above.

[godelian]

Your [Godelian] belief in the Platonic realm as "the most real" is an intriguing stance

I have never said that the Platonic realm would be "the most real".
The Platonic realm is simply a different universe, separate from the physical universe.
The Platonic realm is connected to the physical universe, however, by means of computational shadows.

[Veritas Aequitas]

Your [Godelian] belief in the Platonic realm as "the most real" is an intriguing stance

I have never said that the Platonic realm would be "the most real".
The Platonic realm is simply a different universe, separate from the physical universe.
The Platonic realm is connected to the physical universe, however, by means of computational shadows.

If not "the most real" your implication is 'it is real' but I had insisted you are chasing illusion if you think mathematical objects are real in some non-physical sense.
When you claimed God exists [like platonic forms] then you will claim God is the most real but there would be the most unrealistic, false, illusory and delusional.

My point is,
the question of 'proof' is not critical and there are many meanings of 'what is proof'.
What is critical is whether whatever you claim, mathematical or otherwise, is real or not.
If they cannot be justified [proven] to be real, then they are unreal, false, or illusory which your version of mathematic objects are.

[godelian]

If not "the most real" your implication is 'it is real' but I had insisted you are chasing illusion it you think mathematical objects are real in some non-physical sense.

This is actually what most people believe:

https://en.wikipedia.org/wiki/Mathematical_Platonism

Mathematical Platonism is the form of realism that suggests that mathematical entities are abstract, have no spatiotemporal or causal properties, and are eternal and unchanging. This is often claimed to be the view most people have of numbers.

there are many meanings of 'what is proof'.

According to the Curry-Howard correspondence, a proof needs to be a program, i.e. a sequence of computations. Everything else is not a proof. However, since only computations are visible in the physical universe, it is often perfectly fine to claim that only computations exist:

Davis and Reuben Hersh have suggested in their 1999 book The Mathematical Experience that most mathematicians act as though they are Platonists, even though, if pressed to defend the position carefully, they may retreat to formalism.

Computations provably correspond to abstract, Platonic objects. There are many circumstances, however, in which it is perfectly fine to ignore their existence and to limit things to computations.

[Veritas Aequitas]

If not "the most real" your implication is 'it is real' but I had insisted you are chasing illusion it you think mathematical objects are real in some non-physical sense.

This is actually what most people believe:

https://en.wikipedia.org/wiki/Mathematical_Platonism

Mathematical Platonism is the form of realism that suggests that mathematical entities are abstract, have no spatiotemporal or causal properties, and are eternal and unchanging. This is often claimed to be the view most people have of numbers.

The above realism refer to:

https://en.wikipedia.org/wiki/Philosophical_realism
Philosophical realism——is the view that a certain kind of thing (ranging widely from abstract objects like numbers to moral statements to the physical world itself) has mind-independent existence, i.e. that it exists even in the absence of any mind perceiving it or that its existence is not just a mere appearance in the eye of the beholder.[1][2][3][4] This includes a number of positions within epistemology and metaphysics which express that a given thing instead exists independently of knowledge, thought, or understanding.

I have stated many "1000" times Philosophical Realism is chasing an illusion and no one has justified otherwise.

So is whatever is eternal and unchanging, it is illusory.

Mathematical Platonism as a form of realism[philosophical] is chasing an illusion.
I have asked you a '1000' times to prove your mathematical platonism is real but you are running all over the place.

there are many meanings of 'what is proof'.

According to the Curry-Howard correspondence, a proof needs to be a program, i.e. a sequence of computations. Everything else is not a proof. However, since only computations are visible in the physical universe, it is often perfectly fine to claim that only computations exist:

Davis and Reuben Hersh have suggested in their 1999 book The Mathematical Experience that most mathematicians act as though they are Platonists, even though, if pressed to defend the position carefully, they may retreat to formalism.

Computations provably correspond to abstract, Platonic objects. There are many circumstances, however, in which it is perfectly fine to ignore their existence and to limit things to computations.

The above is merely an opinion as conditioned within the specific Curry-Howard framework, they cannot deny others cannot use the term 'proof' as conditioned to some specific Framework and System, e.g. science, history, legal, etc.

[godelian]

The above is merely an opinion as conditioned within the specific Curry-Howard framework, they cannot deny others cannot use the term 'proof' as conditioned to some specific Framework and System, e.g. science, history, legal, etc.

The Curry-Howard correspondence is provable. it is not just an opinion. It is backed by very visible computations that demonstrate the existence of a proof. I am not interested in making concessions to alternative views that are not provable. These alternative views lack provability.

[Veritas Aequitas]

The above is merely an opinion as conditioned within the specific Curry-Howard framework, they cannot deny others cannot use the term 'proof' as conditioned to some specific Framework and System, e.g. science, history, legal, etc.

The Curry-Howard correspondence is provable. it is not just an opinion. It is backed by very visible computations that demonstrate the existence of a proof. I am not interested in making concessions to alternative views that are not provable. These alternative views lack provability.

The Curry-Howard correspondence is provable but it is confined within its specific Framework and System.

You can be proven legally 100% to be a drug-trafficker rapist murderer by some third world legal court framework and system without the need for DNA evidence and is sentenced to death based on third parties evidences.
The 100% proof you are guilty is demonstrated and legal.
In this case, it is proven but is it credible and objectively real.
Without solid evidence it almost like an opinion in general.

That is why, the basis of reality is critical.

But let say, the legal case is in a first world country and sperm was found in the raped victim and was proven scientifically via DNA it does belong to you.
It was later confirmed the DNA belonged to X.
In this case, there is proof which is is more real than the above scenario where DNA testing was not necessary.

So, the Curry-Howard correspondence is provable but it is confined within its specific Framework and System, so it cannot be as realistic unless it is proven to be real within a realistic system, e.g. science FS as the gold standard.
If it is not realistic, then it as most an opinion of varying degree of credibility.

Btw, as Popper argued, even the most credible and objective scientific truths are at best 'polished opinions' or polished conjectures [hypothesis].

Whatever the claim, mathematical or otherwise, it must be justified to be real.
So far, you have not attempted to justify your claims are real [of whatever degrees].

[Age]

The above is merely an opinion as conditioned within the specific Curry-Howard framework, they cannot deny others cannot use the term 'proof' as conditioned to some specific Framework and System, e.g. science, history, legal, etc.

The Curry-Howard correspondence is provable. it is not just an opinion. It is backed by very visible computations that demonstrate the existence of a proof. I am not interested in making concessions to alternative views that are not provable. These alternative views lack provability.

The Curry-Howard correspondence is provable but it is confined within its specific Framework and System.

You can be proven legally 100% to be a drug-trafficker rapist murderer by some third world legal court framework and system without the need for DNA evidence and is sentenced to death based on third parties evidences.
The 100% proof you are guilty is demonstrated and legal.
In this case, it is proven but is it credible and objectively real.
Without solid evidence it almost like an opinion in general.

That is why, the basis of reality is critical.

But let say, the legal case is in a first world country and sperm was found in the raped victim and was proven scientifically via DNA it does belong to you.
It was later confirmed the DNA belonged to X.
In this case, there is proof which is is more real than the above scenario where DNA testing was not necessary.

So, the Curry-Howard correspondence is provable but it is confined within its specific Framework and System, so it cannot be as realistic unless it is proven to be real within a realistic system, e.g. science FS as the gold standard.

LOL So-called 'gold standards' do NOT KEEP CLAIMING things that are False, Inaccurate, and/or Incorrect.

So, what this MEANS IS you are just PRESENTING your OWN OPINIONS, here, ONLY.

If it is not realistic, then it as most an opinion of varying degree of credibility.

Therefore, your so-called "science fs" is, at most, just AN OPINION.

Btw, as Popper argued, even the most credible and objective scientific truths are at best 'polished opinions' or polished conjectures [hypothesis].

Great. So, your so-called 'gold standard' is NOT that 'golden' AFTER ALL.

Therefore, AFTER years and many posts, what you have been 'TRYING TO' CLAIM, here, is REALLY NOTHING MORE than just "veritas aequitas" OWN OPINIONS, ONLY.

Whatever the claim, mathematical or otherwise, it must be justified to be real.

LOL you JUST ADMITTED that EVEN so-called "credible and objective scientific truths' are, AT BEST, just OPINIONS, ONLY.

Which ALWAYS REMAIN REFUTABLE, and thus NOT YET JUSTIFIED to be REAL.

So far, you have not attempted to justify your claims are real [of whatever degrees].

But, there is NO USE IN JUSTIFYING one's CLAIMS ARE REAL, WHEN others are CLOSED, and NOT YET OPEN, like you ARE.

[godelian]

Whatever the claim, mathematical or otherwise, it must be justified to be real.
So far, you have not attempted to justify your claims are real [of whatever degrees].

Mathematics is not about proving anything about the physical universe. It is about computations and abstract Platonic objects. If you are interested in the physical universe, then you will need to do something else. I am personally not particularly interested in the physical universe. It is irrelevant to most of what I do.

[Veritas Aequitas]

Whatever the claim, mathematical or otherwise, it must be justified to be real.
So far, you have not attempted to justify your claims are real [of whatever degrees].

Mathematics is not about proving anything about the physical universe. It is about computations and abstract Platonic objects. If you are interested in the physical universe, then you will need to do something else. I am personally not particularly interested in the physical universe. It is irrelevant to most of what I do.

It is not a question of whether whatever it is mathematical or physical.
The relevant question is whether whatever is claim is real or not.
If it is not real, then it is unreal, false and illusory.

If your mathematical Platonic object is not real, then it is unreal, false and illusory.
If you claim it is real, then justify it is real?
You have been running away from justifying since the point was raised long ago.

Are you aware of the criticisms of Platonism as unrealistic?
see,
Platonism is Very Unrealistic
viewtopic.php?t=43671

Again, if you do not agree with the above, post the above and ask 'your' AI to comment.

[godelian]

It is not a question of whether whatever it is mathematical or physical.
The relevant question is whether whatever is claim is real or not.
If it is not real, then it is unreal, false and illusory.
If your mathematical Platonic object is not real, then it is unreal, false and illusory.
If you claim it is real, then justify it is real?
You have been running away from justifying since the point was raised long ago.

I have already answered to whether the number 3 is real or not. ChatGPT has already told you umpteen times that the number 3 is real.

The most profitable companies and the best-paid jobs in the world revolve around abstract Platonic objects and their computational shadows.

It's up to you to decide if you want to believe or not that the number 3 exists. We spend our lives believing that it does. That works out absolutely fine for us.

You cannot hope to convince people whose income and professional lives directly depend on believing that it is all real, of the opposite. We have a deeply vested interest in rejecting your views. Platonism works a lot better for us than nominalism or physicalism. That is why we will never believe these things. Ever.

[Veritas Aequitas]

It is not a question of whether whatever it is mathematical or physical.
The relevant question is whether whatever is claim is real or not.
If it is not real, then it is unreal, false and illusory.
If your mathematical Platonic object is not real, then it is unreal, false and illusory.
If you claim it is real, then justify it is real?
You have been running away from justifying since the point was raised long ago.

I have already answered to whether the number 3 is real or not. ChatGPT has already told you umpteen times that the number 3 is real.

The most profitable companies and the best-paid jobs in the world revolve around abstract Platonic objects and their computational shadows.

It's up to you to decide if you want to believe or not that the number 3 exists. We spend our lives believing that it does. That works out absolutely fine for us.

You cannot hope to convince people whose income and professional lives directly depend on believing that it is all real, of the opposite. We have a deeply vested interest in rejecting your views. Platonism works a lot better for us than nominalism or physicalism. That is why we will never believe these things. Ever.

I posted your above to "MY" ChatGpt and here is its response:

VA to ChatGpt

[Godelian's post above]

There is something odd with the above? [refer to Godelian's post]
My basis of real is FS-Reality.
I believe my interlocutor claim that the number 3 is real based on Platonism and Philosophical Realism which from the FS-Reality perspective is chasing an illusion.

ChatGPT said:
Yes, there is something odd about your interlocutor’s argument. Their response does not engage with rational justifications for why mathematical objects (like the number 3) are independently real. Instead, they appeal to pragmatism, economic utility, and personal belief rather than objective reasoning.

Key Issues in Their Response:

Appeal to Utility, Not Truth
Your interlocutor states that believing in Platonic objects is useful (it leads to profitable businesses, well-paid jobs, and practical success).
However, practical utility does not imply ontological reality. Something can be useful without being fundamentally real.
Example: We use fictional characters in branding (e.g., Mickey Mouse) to generate billions of dollars, but that doesn’t make Mickey Mouse ontologically real in the same way as an apple.

Appeal to Belief Rather Than Justification
They say: "It's up to you to believe or not."
This shifts the discussion from whether numbers are real to whether people choose to believe in them, which is a separate issue.
Ontological questions (like whether numbers exist independently) are not settled by subjective belief but by rational argumentation.

Implicit Dogmatism
Their final statement—"We will never believe these things. Ever."—is dogmatic.
A rational thinker should be open to revising beliefs based on better arguments.
If someone says they will never reconsider their position, they are not engaging in philosophy but defending a personal commitment.

Your FS-Reality Perspective vs. Their Platonism
You are approaching reality from an FS-Reality perspective, meaning:

Numbers are real only within the mathematical framework (FS-Mathematics).
They are not real in the sense that a physical object (like an apple) is real.
The Platonist claim that numbers exist independently of minds and frameworks is an illusion from an FS-Reality perspective because it reifies abstractions into something supposedly independent.

Their position is philosophical realism about numbers, which assumes:

Numbers exist independently of human thought.
The number 3 exists even if no minds exist to conceive of it (Platonic realism).
Mathematics is discovered, not invented.
But from your FS-Reality perspective, this is a category mistake—they are mistaking conceptual structures for independent entities.

How to Respond Effectively
You can challenge their argument without getting sidetracked by their appeal to utility:
{suggested response to interlocutor}

"Your argument is based on the practical usefulness of believing in mathematical objects, but utility does not imply independent reality. We use concepts like money, corporations, and legal systems, which are useful and generate wealth, but they do not exist outside of human frameworks.
Similarly, the number 3 is real within the framework of mathematics, but outside of that framework, it has no independent existence—just as chess moves exist only within the game of chess.
Your belief in mathematical Platonism is based on a deep commitment, but commitment does not determine truth.
If a belief is never open to reconsideration, then it is not a rational stance but a dogmatic one."

Conclusion
Your interlocutor is not engaging in rational argumentation but defending a pragmatic stance based on vested interest.
Their argument fails to prove that the number 3 exists independently of human minds, which is the core issue.
Your FS-Reality perspective remains a strong counter because it grounds reality in frameworks, avoiding the illusion of reified abstractions.

Again I suggest you post "MY" ChatGpt response to "YOUR" ChatGpt and ask for its comments.

Did you read this?
Platonism is Very Unrealistic
viewtopic.php?t=43671

[godelian]

Again I suggest you post "MY" ChatGpt response to "YOUR" ChatGpt and ask for its comments.

Platonism is a belief. You believe it or you don't. I believe it.

Ultimately, at the foundationalist level, there is no justification for what people believe. In fact, it is simply a waste of time to look for one.

Aristotle already came to that conclusion in "Posterior Analytics". There is only one way to stop the process of infinite regress, which is to simply to choose a point at which to stop looking for further or deeper justification.

This is essentially what we always do in mathematics. Do not ask for justification for the axioms because if there were such justification, then these things would not be axioms to begin with.

[Veritas Aequitas]

Again I suggest you post "MY" ChatGpt response to "YOUR" ChatGpt and ask for its comments.

Platonism is a belief. You believe it or you don't. I believe it.

Ultimately, at the foundationalist level, there is no justification for what people believe. In fact, it is simply a waste of time to look for one.

Aristotle already came to that conclusion in "Posterior Analytics". There is only one way to stop the process of infinite regress, which is to simply to choose a point at which to stop looking for further or deeper justification.

This is essentially what we always do in mathematics. Do not ask for justification for the axioms because if there were such justification, then these things would not be axioms to begin with.

Whatever you believe, you believe it is real because you do not want to admit you are delusional.
If you keep to your belief privately there is no issue.
But you are posting your beliefs in a Philosophical Forum such as this, where the default is the requirement for justifications and rationality, so you still need to justify it is real.

I posted your above to ChatGpt and here is its response:

Your interlocutor is retreating from rational justification and appealing to foundationalism as a way to sidestep the need to justify their belief in Platonism. However, their argument contains several key weaknesses that you can address effectively.

Key Problems in Their Response

Conflating Axioms with Ontological Claims

They claim that in mathematics, axioms do not require justification—which is correct within mathematics but irrelevant here.
Axioms are chosen for their usefulness in a formal system, not because they describe an independently existing reality.
But their belief in Platonism is not an axiom within a mathematical system—it is a philosophical claim about reality, which does require justification.

Counter:

"Mathematical axioms are justified by their utility within a formal system, not by an appeal to their independent existence. However, your claim that mathematical objects exist independently of human minds is an ontological claim, not a mathematical one. Unlike mathematical axioms, ontological claims require justification. Simply declaring Platonism a 'belief' does not shield it from philosophical scrutiny."

2. Misusing Foundationalism

They reference Aristotle’s Posterior Analytics to argue that all justification must stop somewhere and that Platonism is just one such stopping point.
However, stopping points in justification should be chosen rationally, not arbitrarily.
Mathematics stops at axioms for practical reasons—because it is a self-contained system, but metaphysical claims about reality require stronger justification.
Otherwise, anyone could justify any belief by arbitrarily choosing a stopping point (e.g., “I choose to stop at the belief that unicorns exist”).

Counter:

"You are correct that infinite regress must be avoided, but stopping points must be chosen rationally, not arbitrarily. Mathematics stops at axioms because it is a self-contained system. But when making claims about reality—such as Platonism—one must justify why that stopping point is more reasonable than others. Otherwise, anyone could claim anything as a ‘belief’ without scrutiny, making rational discourse impossible."

3. Philosophy Requires Justification in Public Discourse

You pointed out correctly that in a philosophical forum, any claim requires justification.
Philosophy is not just about what one believes privately, but about whether that belief is rationally defensible.
Their stance reduces to subjectivism: “I believe in Platonism, and that’s the end of it.” But that undermines philosophy itself—it turns every discussion into a mere statement of personal opinion.

Counter:

"In personal matters, one can believe whatever they wish. However, in a philosophical forum, claims must be justified. If your belief in Platonism is purely personal and cannot be rationally defended, then it does not belong in a debate where philosophical justification is required. Simply stating belief without justification is not philosophy—it is dogmatism."

Overall Response to Your Interlocutor

"Your argument appeals to foundationalism to justify stopping at Platonism, but stopping points must be chosen rationally, not arbitrarily. In mathematics, axioms are chosen for their practical utility within a formal system, not because they reflect an independently existing reality. However, your claim that mathematical objects exist independently is an ontological claim, not a mathematical one—so it requires justification.

Moreover, in a philosophical forum, claims must be defended, not simply asserted as personal belief. If you claim Platonism is true but refuse to justify it, then you are engaging in dogmatism, not philosophy. The mere fact that people believe in something does not make it real. If you insist that your belief requires no justification, then you are removing yourself from rational discourse altogether."

Final Thought
Your interlocutor has effectively admitted that their belief in Platonism is a personal commitment rather than a rationally justified position.
If they insist that belief alone is sufficient without justification, then they have abandoned philosophical reasoning.
By pointing this out, you expose the weakness in their position without needing to disprove Platonism outright—because they themselves have already refused to justify it rationally.