diff --git a/EMR_Simple_Proof.md b/EMR_Simple_Proof.md new file mode 100644 index 0000000..d1df5f9 --- /dev/null +++ b/EMR_Simple_Proof.md @@ -0,0 +1,58 @@ +# 🧠 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** β€” 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 β€” possible, impossible, and incoherent β€” 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 β€œworld,” 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 β€” 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** β€” 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 β€” which reintroduces brutalism and violates the PSR. + +### **Premise 6:** +**Extended Modal Realism** is the only metaphysical system that **includes all worlds** β€” possible, impossible, and incoherent β€” 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.