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Symbolic OS Powered by a Programmable Recursive Number Sequence
- memv 1y agoHi HN, I’ve been working on a symbolic computation engine based on a number sequence I discovered during experimentation with arithmetic vs. symbolic logic. I call it the Ruth Sequence, and it's defined by a recursive alternation between -2 (reset) and +11 (symbolic leap). What emerges is a sawtooth-like symbolic number pattern: (-2, 9, 7, 18, 16, 27, 25, ...) This logic is different from arithmetic — for example: * 1 + 1 = 2 in math * but 1 + 1 = 11 in symbolic form (concatenation, not addition) * I used this to build a prototype symbolic OS (called Symbase) layered into 3 parts: 1. Arithmetic Layer – raw numbers 2. Normative Layer – symbolic strings like “100100” 3. Geometrical Layer – shapes/patterns from symbolic logic This lets the system treat leading zeros, emotional state changes, and recursive logic as symbolic operations, not just numerical ones. It can be used for: * symbolic memory * pattern-based computing * recursive UI generation * emotion-aware symbolic agents I’ve published a thesis and a live demo if you’re curious. I’d love to hear your thoughts. Is symbolic logic + recursion a valid foundation for post-function computing? Thanks! – MEMV