Complete lexicon page 01

Neutrosophic Lexicon

The neutrosophic page is the first complete subject lexicon in Synthia. It maps public NSS sources into safe software kernels for T/I/F, set membership, logic, probability, statistics, plithogenic contradiction, and I_lexicon routing.

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Public NSS source ledger

Primary mathematical sources

These public FS/NSS sources are encoded as safe source IDs and URLs. They guide software interpretation without making Synthia a formal mathematical authority.

A Unifying Field in Logics: Neutrosophic Logic, Neutrosophy, Set, Probability and Statistics Neutrosophic Set as a Generalization of the Intuitionistic Fuzzy Set Neutrosophic Logic as a Generalization of Intuitionistic Fuzzy Logic Introduction to Neutrosophic Logic Single Valued Neutrosophic Sets Introduction to Neutrosophic Measure, Integral, and Probability Introduction to Neutrosophic Statistics The Neutrosophic Statistical Distribution Neutrosophic Random Variables Practical Applications of the Independent Neutrosophic Components Introduction to the MultiNeutrosophic Set Plithogenic Set Introduction to Plithogenic Logic NSS Articles Index

Kernel map

How the neutrosophic lexicon becomes code

Foundation T/I/F

Formal profiles are preserved, then normalized into bounded operational TIF values.

Set membership

T as membership, I as indeterminacy, and F as non-membership.

Logic propositions

Relative, absolute, incomplete, paraconsistent, paradoxist, and IFL-compatible profiles.

Single-valued operations

Bounded union, intersection, difference, truth-favorite, and falsity-favorite operators.

Probability and statistics

Event triples, sample-space diagnostics, distributions, and indeterminate datasets.

Plithogenic methods

Dominant attributes, contradiction degree, cumulative truth, and multi-variable routing.

Classification payload

What each output should preserve

{
  "selected_lexicon": "neutrosophic",
  "source_ids": ["nss.unifying_field_logics"],
  "formal_value": {"T": 1.2, "I": 0.4, "F": -0.1},
  "operational_tif": {"T": 1.0, "I": 0.4, "F": 0.0},
  "chain": "I -> I_system^S -> H_lex -> G_lex -> I_lexicon",
  "review_boundary": "candidate classification for human review"
}

Boundary

Candidate routing, not final authority

Synthia uses public NSS sources to structure software behavior. Generated classifications are source-linked candidates for review, not final mathematical, scientific, medical, legal, or nomenclatural authority.