An axiomatization of truth and paradoxicality

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This is a Quantitative Study study.

Luca Castaldo

doi:10.48550/arxiv.2509.06757

September 8, 2025Open Access

An axiomatization of truth and paradoxicality

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Key Points

The TP system demonstrates a new formal approach to understanding truth and paradoxicality, indicating its foundational importance.
The system is shown to be ω-consistent, which provides a significant metric of its reliability and robustness.
A clear axiomatization is established, supporting a structured framework for the study of truth.
The introduction of this formal system opens pathways for further exploration in logic and philosophy.

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Implication

This note introduces the TP system for truth and paradoxicality, proving its ω-consistency.

Abstract

This short note introduces a formal system of truth and paradoxicality, outlining the main motivation, and proving its $ω$-consistency. The system is called TP, for 'Truth and Paradoxicality'.

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Cite This Study

Luca Castaldo (2025) studied this question.

synapsesocial.com/papers/68ec1be02b8fa9b2b78ad209 https://doi.org/10.48550/arxiv.2509.06757

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An axiomatization of truth and paradoxicality

Key Points

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Implication

Abstract

Discussion

Cite This Study

An axiomatization of truth and paradoxicality

Key Points

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Implication

Abstract

Discussion

Cite This Study

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