PhilArchive
open access
A True Contradiction: _P∧¬P_
Classical propositional logic treats the negation of a contradiction, ¬(P∧¬P), as a simple tautology. This paper argues that such functionalist reduction obscures a deeper structural reality: the truth of the negation is constitutively dependent upon the falsity of its substrate. Within the proposition, ¬P grounds the truth of the whole, yet the whole negates the very conjunction that contains ¬P. The proposition therefore instantiates what we term a True Contradiction, not as a violation of classical logic but a revelation of its ontological structure. The epistemological evaluation (Truth) and the ontological constitution (Falsity) exist in irreducible simultaneity.
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Logical Combinatorialism#697448
- The Ontological Inexpressibility Theorem: A Formal Contradiction of the Empty Set as Foundational Origin in ZF#726590
- The Classical Logic Assumption#110250
- Information-Theoretic Logic#712124
- Representation as epistemic identification#720416
Record · ID 706119
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive