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Thank you for your comment! I believe there may have been a slight misunderstanding of the core idea — perhaps because the paper hasn't been reviewed yet. Of course, I’m not “defining away” complex or paradoxical statements. The key point is that I consider statements within two distinct contexts: the actual world (W₀) and a possible alternative world (W′). When a statement becomes meaningless or undefined in a possible world — for instance, due to self-reference — it is explicitly marked using a special symbol ⊥₀. This is not deletion or avoidance, but rather a way to formally acknowledge falsehood or paradox as a specific, traceable case. Additionally, a parameter k ∈ [0,1] is used to represent the degree of distortion — from full truth to full falsehood — allowing for a gradual, fuzzy evaluation of statements. In this system, falsehood isn't removed but integrated and tracked within the formal structure. It may sound a bit technical at first glance, but the paper is very short (just 2 pages) and explains everything in a concise and intuitive way. I’d be happy to continue the discussion if you have thoughts after giving it a read! Short Summary of the Theory (for quick understanding):

Thank you for your interest in the topic. I couldn't find a more suitable section on the forum (though I’m new here). Regarding the link — it’s a link to an attached file, and I wasn't aware that sharing links is against the rules. Thank you for your comment! Just to clarify, my model does not propose that paradoxes arise from the combination of incompatible simple statements into a more complex one. Instead, it asserts that self-referential statements cannot be valid in both W' and W_0 imultaneously, and as such, they are marked as false. But perhaps I misunderstood your point.

Good day! I would like to present an idea (hopefully, a fresh one) in the field of logic called "Context-Gradual Referential Logic." The theory is described in the author's paper by Maxim Petrov-Verin. I have attached the paper. Context-Graded Referential Logic — Max. Petrov-Verov. — Self-published, 2025, 4 p.pdf The author does not claim scientific novelty, academic recognition, or educational value — these are his personal reflections (see disclaimer). Possible value of the work: It presents a very simple and intuitive system (accessible even at the high school level) based on well-known principles from modal logic, fuzzy logic, and referential approaches. Combined, these elements form a compiled system that allows for: Paradox resolution: Self-referential statements are marked as false, preserving the system's consistency. Gradual truth value: The parameter k explicitly represents the degree of distortion — from complete truth (k = 0) to absolute falsehood (k = 1). Model flexibility: Does not require prohibitions or complex hierarchies, relying instead on intuitive notions of reference and context. Lie tracking: The marker (⊥₀) explicitly identifies false statements, allowing for analysis of their sources and frequency. This may be useful to someone... or spark a desire to discuss. This topic has been created solely for informational purposes.