theory/EMR_Simple_Proof.md

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# 🧠 Proof of Extended Modal Realism
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## **Definitions**
### **Brutalism**
Brutalism is the metaphysical view that **some facts obtain without any explanation, cause, or sufficient reason**. These are called **brute facts** — they are simply true, without any further grounding or intelligibility. Brutalism explicitly denies the Principle of Sufficient Reason.
### **Principle of Sufficient Reason (PSR)**
The PSR is the principle that:
> *For every fact that obtains, there is a sufficient reason why it is so and not otherwise.*
It applies not only to empirical events but to metaphysical facts, modal realities, and the existence of the universe itself.
### **Extended Modal Realism (EMR)**
Extended Modal Realism is the view that:
> *All worlds — possible, impossible, and incoherent — exist.*
This includes:
- Logically consistent worlds (standard modal realism),
- Metaphysically or nomologically impossible worlds (violating identity or physical law),
- Logically incoherent worlds (e.g., containing contradictions or undefined objects).
EMR rejects all arbitrary limits on what counts as a “world,” allowing every definable or conceivable structure to have being in some modal domain.
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## **Argument**
### **Premise 1:**
**Brutalism** denies the PSR and allows for brute facts — facts without explanation or intelligibility.
### **Premise 2:**
**Brutalism is incoherent** because:
- It undermines the very possibility of reasoning, inference, and justification.
- Any assertion (including brutalism itself) presupposes the availability of sufficient reason.
- Therefore, brutalism is self-defeating and cannot possibly be correct.
### **Premise 3:**
If brutalism is false, then the **Principle of Sufficient Reason must be accepted universally** — no fact may be admitted without a sufficient reason.
### **Premise 4:**
Any metaphysical system that includes only **some** worlds (e.g., only possible or only coherent ones) must provide a **sufficient reason** for excluding others.
### **Premise 5:**
No non-arbitrary, sufficient reason can be given for excluding impossible or incoherent worlds without appealing to brute constraint — which reintroduces brutalism and violates the PSR.
### **Premise 6:**
**Extended Modal Realism** is the only metaphysical system that **includes all worlds** — possible, impossible, and incoherent — and thus **requires no arbitrary exclusions**.
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## **Conclusion**
> **Extended Modal Realism must be correct, by necessity.**
This follows because it is the only metaphysical system that fully satisfies the Principle of Sufficient Reason while avoiding the incoherence of brutalism.