Sermsak Yingsomsuk

The Multi-Dimensional Tensor Framework (nD) of Relational Logic (RL) and Axiomatic Context (AC): Breaking the Bivalent Lattice Boundaries

For over two millennia, formal mathematics and standard logic have been structurally confined within the discrete walls of bivalent systems, restricting truth and membership to rigid endpoints $\{0, 1\}$ or artificial closed limits $[0, 1]$. This paper establishes the high-dimens...

The Multi-Dimensional Tensor Framework (nD) of The Core Algebraic Kernels: Meta-Axioms (MA) and Meta-Transitions (MT) Breaking the Bivalent Lattice Boundaries

This paper establishing the high-dimensional formal expansion of Meta-Axioms (MA) and Meta-Transitions (MT), advancing the ungrounded 1D scalar kernels into continuous, symmetric tensor spaces spanning the extended real number line $\overline{\mathbb{R}}^n$. Shifting away from th...

The Extended Reality Interval: Breaking the Interpolative Normalization Cage of Real-Line Continuum Operations (OPw)

For over two millennia, formal mathematics and standard logic have been structurally confined within the discrete walls of bivalent systems, restricting truth and membership to rigid endpoints $\{0, 1\}$ or artificial closed limits $[0, 1]$. This paper establishes the standalone...

The Extended Reality Interval: Breaking the Interpolative Normalization Cage of Real-Line Continuum Operations (OPw)

For over two millennia, formal mathematics and standard logic have been structurally confined within the discrete walls of bivalent systems, restricting truth and membership to rigid endpoints $\{0, 1\}$ or artificial closed limits $[0, 1]$. This paper establishes the standalone...

The Operational Continuum and Multi-Dimensional Field Ingestion: Applications of Relational Logic and Axiomatic Context (RL/AC/MA/MT 1D,nD)

This paper serves as the official operational supplement to the foundational multi-dimensional tensor framework of Relational Logic (RL) and Axiomatic Context (AC). By mapping ungrounded scalar coordinates onto real-world qualitative, physical, and strategic execution spaces, we...