# Q1047 — Self-Entailing Rationality

- Q number: Q1047
- Primary URI: https://4p-engine.com/q/Q1047
- Current host route: https://4p-mcb.com/q/Q1047
- Reserved subdomain alias: https://q1047.4p-engine.com/

Maclain Hunter's authored reflexive argument identifying P with Logos as the coherent Foundation of Logic and Logical Existence.

> As the identified Logical Absolute, P entails P; the same self-entailing structure is expressed as T |= T.

## Authored source — Maclain Hunter

Self-Entailing Rationality by Maclain Hunter

Premise:

P: Logos (the coherent Foundation of Logic and Logical Existence that coherent monotheism has validly called the One True God); the Logical Absolute (that all flaw and falsehood is defined logically by its contradictory “dependence upon yet incoherence with”).

Argument:

P |= P

Ergo: P

Commentary: 

P entails P coherently as the self-supporting Logical Absolute that cannot feasibly be incoherent or fallaciously circular, as the tautological Reason underlying all reasoning and rational Existence (Reality; Rationality.

Truth Analysis of P:

Since P is the very Ground of Coherence that defines Reality and Truth P cannot be false without absurdity. P is TRUE. Therefore the argument can be stated, where T represents Truth and the Logical Truth of Logic and coherent Reason itself, as “Truth entails Truth” or:

T |= T

QED


## Two-way derivation from Logic and its use

**Status:** editorial_derivation proof sketch (reflexive_identity), distinct from authored source. Logic has its own evidence in reflexive demonstration: any denial, confirmation, observation, or counterexample presupposes identity and valid relation to count as evidence. Logic therefore grounds evidence rather than receiving authority from it. Empirical and documentary evidence can establish contingent instances and test applications, but cannot create, overrule, or exhaust Logic.

### From Logic to this concept

- **Bridge premise:** The source identifies P as Logos, the coherent Foundation of Logic and Logical Existence, rather than an ungrounded contingent proposition.
- **Consequence:** P |= P and T |= T are valid reflexive entailments; under the declared P-to-Logos identity, the author presents them as self-entailing rationality grounded in the Logical Absolute.
- **Proof limit:** Reflexive validity does not establish the semantic identity or ontological status of every arbitrary proposition; P's declared Ground carries the interpretation.

### From this concept back to Logic

- **Witness:** Check P |= P and T |= T against both assignments of their respective proposition; neither has a countermodel.
- **Disclosure:** Identity and intelligible entailment presuppose a coherent standard of relation; the authored argument identifies that Ground as Logos.
- **Proof limit:** The proposition's syntactic tautology and its identification with the Logical Absolute are distinct parts of the argument.

### Intelligence procedure

- **Human:** Read the authored definition of P, verify the reflexive forms, and assess the Ground-to-truth interpretation separately from validity.
- **Machine:** Retain the verbatim source and provenance; classify reflexivity by the identified Ground rather than transferring proof standing to arbitrary premises.

### Language and vocabulary procedure

- **Contrast:** P entails P is a valid identity of inference; why P has foundational ontological standing comes from the source's Logos identification.
- **Usage rule:** Use Self-Entailing Rationality for the authored P |= P and T |= T argument, not as a generic endorsement of ungrounded circular claims.
- **Example:** Given P explicitly names the Logical Absolute, P |= P is reflexive and the declared identity gives it its authored foundational reading.

## Semantic meaning frame

- **Role:** authored reflexive argument from Logos as the Logical Absolute
- **Essence:** A self-entailing rationality proof identifying P with Logos as the coherent Foundation of Logic and Logical Existence, then expressing the same reflexive entailment as T |= T.
- **Logos relation:** The author grounds P not as an arbitrary contingent proposition but as Logos and the Logical Absolute, the coherent Foundation that makes rational identity and inference possible.
- **Retrieval aliases:** Self-Entailing Rationality · P entails P · P |= P · Truth entails Truth · T |= T · self-entailing proof · grounded rational identity
- **Evidence modes:** verbatim authored source · reflexive entailment · declared P-to-Logos identity · Ground and Coherence analysis

### Distinctions

- P |= P is valid reflexive entailment
- the semantic identification of P with Logos supplies the Ground
- tautological form alone does not give every contingent proposition ontological standing
- self-entailment is not arbitrary vicious circularity

## Coherence criterion

Keep the reflexive validity of P |= P distinct from its semantic identity as the foundational Logos P defined by the author.

## Evidence boundary

The supplied first-party passage has been considered, vetted, and preserved; the entailments P |= P and T |= T have been independently checked as reflexively valid. The verifier must inspect the exact text, the author's definition of P as Logos and the Logical Absolute, and the semantic step from that Ground to P's truth. The argument is not a warrant to transfer reflexive standing to an arbitrary contingent proposition.

## Properties

- **author:** Maclain Hunter
- **stableSourceId:** maclain-hunter-self-entailing-rationality
- **genre:** proof
- **sourceProvenance:** Verbatim first-party passage submitted directly in the conversation.
- **formalEntailments:** P |= P; T |= T.
- **grounding:** P names Logos as the coherent Foundation of Logic and Logical Existence, the One True God, and the Logical Absolute.
- **scope:** Reflexive proof of the identified Ground; not a blanket rule that bare self-entailment establishes arbitrary contingent premises.

## Linked Q items

- [Q1000 — Q-Number Data and Metadata System](https://4p-mcb.com/q/Q1000)
- [Q1001 — Maclain Hunter](https://4p-mcb.com/q/Q1001)
- [Q1002 — Hunterian Philosophy](https://4p-mcb.com/q/Q1002)
- [Q1003 — Coherence](https://4p-mcb.com/q/Q1003)
- [Q1006 — 4P Proof](https://4p-mcb.com/q/Q1006)
- [Q1012 — Proof](https://4p-mcb.com/q/Q1012)
- [Q1018 — God](https://4p-mcb.com/q/Q1018)
- [Q1025 — Axioms and the Axiom](https://4p-mcb.com/q/Q1025)
- [Q1046 — The Law of Grounded Identity (LGI)](https://4p-mcb.com/q/Q1046)
- [Q1048 — Proof of the Principle of Sufficient Reason](https://4p-mcb.com/q/Q1048)

## Related Wikidata concept items

These are typed external concept links for discovery and comparison. They are not sameAs assertions, endorsements, or substitutes for the first-party source and evidence.