This is an experiment on the extension of the classic Indian and Buddhist logic “tetralemma” – also relying on the work of the Chinese sage Jizang 吉藏, a commenter and follower of Nagarjuna. This logic arrangement shows how the “tetralemma” and any such concept can be interpreted as a logic space (topos) if additional terms are introduced instead of relying only on classical and modern predicative negation. It can be also understood as a special “modal logic” of localic or topological nature. This coincides then the approch taken by F.E.J. Linton (see: https://tlvp.net/~fej.math.wes/SIPR_AMS-IndiaDoc-MSIE.htm ).
A particularly interesting aspect of this construction is that the much-discussed “inexpressible” or “ineffable” levels of Buddhist reasoning, may be simply understood as the outcome of a consistent negation of any and all context (that is, all the terms in the logical expression) which naturally leads away from the referential frame that may have been considered. This is not altogether strange if we remember that tetralemmic logic, at least in the Madhyamika schools, do not argue about the “truth” of one or the other argument, but about the ’emptiness’ (non-substantiality / non-referentiality) of any speech part. See the bottom-right expression in the “fourth quadrant.” – CT – January 2026
16 Linguistic Tetralemmic Logic States
Four terms with two types of negation
About the Framework
This framework consists of:
- 4 terms:
- C (Context) – Situational/environmental frame
- S (Subject) – Actor or topic
- P (Predicate) – Action or property
- O (Object) – Target or complement
- 2 negation types:
- ¬ (strong negation) for boundary terms: C, O
- ~ (weak negation) for medial terms: S, P
- 16 combinations organized into 4 quadrants
- Consistent transformations:
- Moving right toggles C (outer) or S (inner)
- Moving up toggles O (outer) or P (inner)
- Reading order within each quadrant: 1 (bottom-left), 2 (top-left), 3 (top-right), 4 (bottom-right)
C,S,P,O Combinations Framework
16 Linguistic Tetralemmic Logic States
Negations: ¬ = strong (C,O) | ~ = weak (S,P)
Transformation Flow
The 16 combinations are organized in a systematic structure with consistent transformations at two levels:
Outer level (Quadrants): The four quadrants are arranged so that moving right toggles the Context (C → ¬C), and moving up toggles the Object (¬O → O). Thus Q1 (bottom-left) has C and ¬O; Q2 (top-left) has C and O; Q3 (top-right) has ¬C and O; and Q4 (bottom-right) has ¬C and ¬O.
Inner level (Sub-quadrants): Within each quadrant, the four statements follow the same pattern: moving right toggles the Subject (S → ~S), and moving up toggles the Predicate (~P → P). Position 1 (bottom-left) has S and ~P; position 2 (top-left) has S and P; position 3 (top-right) has ~S and P; and position 4 (bottom-right) has ~S and ~P.
This fractal-like structure ensures that C,S,P,O (all affirmed) appears at the top-left of Q2, while ¬C,~S,~P,¬O (all negated) appears at the bottom-right of Q4.