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EMR_Simple_Proof.md

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+# 🧠 Proof of Extended Modal Realism
+
+---
+
+## **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.
+
+---
+
+## **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**.
+
+---
+
+## **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.