Logic Realism Theory

Topics

Key concepts and themes in Logic Realism Theory


Core Concepts

The $L_3$ Constraints

Identity, Non-Contradiction, and Excluded Middle as ontological constraints on physical instantiation.

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Vehicle/Content Distinction

The representational structure that explains how minds represent contradictions while reality cannot instantiate them.

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Born Rule Derivation

How vehicle-invariance forces the $\lvert\psi\rvert^2$ probability measure via Gleason's theorem.

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Mathematical Structure

Complex Hilbert Space

Why local tomography requirements select complex numbers over real or quaternionic alternatives.

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Tsirelson Bound

Correlation limits from Hilbert space structure—why $S \leq 2\sqrt{2}$ for CHSH.

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Symmetrization Postulate

Bosons and fermions from Determinate Identity applied to identical particles.

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Foundational Questions

Measurement Problem

LRT's reframing: distinguishing structural explanation from mechanistic explanation.

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Entanglement

Non-local correlations explained through global vehicle structure.

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One-World Realism

Everettian mathematics without Many-Worlds ontology.

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Extensions

Spacetime Structure

Temporal ordering from joint inadmissibility, Lorentzian signature, CTC exclusion.

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Quantum Gravity

Black hole information, holographic bounds, and measurement in quantized spacetime.

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Wheeler's "It from Bit"

Grounding information in logical admissibility: *It from Bit, Bit from Fit*.

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Glossary

Term Definition
$I_\infty$ The space of all representable configurations, including contradictions
$A_\Omega$ The $L_3$-admissible subset that can be physically instantiated
$L_3$ Identity, Non-Contradiction, Excluded Middle (jointly)
Id Determinate Identity
NC Non-Contradiction
EM Excluded Middle
Vehicle The representational structure (quantum state, brain state)
Content What is represented (outcome possibilities, configurations)
Vehicle-invariance Probability assignments independent of mathematically equivalent decompositions
HCAE Human-Curated, AI-Enabled (methodology disclosure)

Topic pages are being developed. For now, see the Papers for detailed treatments.