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  The Ontology of Mathematical Programming — On the Limits of Logic and the Unexpressible 1. Introduction — I Was Never Good at Calculations Since childhood, I’ve been deeply fascinated by mathematics. Not by problem-solving or calculations per se, but by the persistent question: “What is mathematics?” Why does 1 + 1 equal 2? Why is multiplication a repeated addition? Why do mathematical rules work the way they do? Even as I stumbled through standard education, I found myself drawn not to formulas, but to the nature and origin of mathematics itself. Over time, one realization emerged with clarity: Mathematics is a kind of programming language. Mathematics as an Executable Language   2. Mathematics as an Executable Language Mathematics is structured around symbols, rules, and logical order. Operators like + , × , = , ∈ , and ∑ resemble functions or control flow in code. Addition is repeated increase Multiplication is repeated addition Mathematical...

  The Importance of Human Creativity and Education in the Age of AI In today’s rapidly evolving world of artificial intelligence (AI), it has become nearly impossible for humans to match the speed and computational power of machines. AI excels at tasks such as data analysis, translation, and communication—breaking through human limitations and interconnecting the global community like never before. In this context, the ability to leverage AI effectively has emerged as a key determinant of both individual and societal competitiveness. Contrary to fears that AI will make human roles obsolete, this new era underscores the value of uniquely human traits—especially creativity, critical thinking, and the ability to ask meaningful questions. To use AI as a true partner, we must cultivate the human capacity to define problems, set directions, and generate solutions rooted in creative thought. In the age of artificial intelligence, it becomes increasingly important for individuals to acq...