KEY: Prof. Yucong Duan's DIKWP Semantic Mathematics

Yucong Duan

International Standardization Committee of Networked DIKWP for Artificial Intelligence Evaluation(DIKWP-SC)

World Artificial Consciousness CIC(WAC)

World Conference on Artificial Consciousness(WCAC)

(Email: duanyucong@hotmail.com)

In "The Paradox of Mathematics in AI Semantics," Prof. Yucong Duan argues that current mathematics cannot achieve the goal of supporting real AI development because it relies on abstractions of real semantics while aiming to capture the reality of semantics. Prof. Duan introduces DIKWP Semantic Mathematics, which is constructed in an evolutionary manner, much like how an infant begins to understand the world by building its semantic and conceptual spaces to develop cognitive abilities. In this approach, every concept in the infant's mind is formally associated with semantics evolved from the three basic semantics of DIKWP. As a result, if two infants who share the same cognitive development communicate with each other, there will be no misunderstandings of any concepts.

Overall, Prof. Yucong Duan is revolutionizing traditional mathematics with DIKWP Semantic Mathematics by explicitly proposing:

1. Mathematics should conform to basic semantics instead of abstracting from it.

• Mathematics should be grounded in fundamental semantics rather than being an abstraction that distances itself from the meaning it seeks to represent.

2. Mathematics is a result of human cognitive processes, so human interaction should not be excluded.

• Abstraction depends on human cognition and should be explicitly considered. The foundation of abstraction is the semantics of "completeness," which arises from conscious or subconscious human reasoning or even "bugs" (as per Prof. Duan's "BUG" theory of consciousness formation).

3. Semantics should have priority over pure forms in traditional mathematics.

• Echoing Spinoza's view that everything, including human thought, should follow certain rules, Prof. Duan asserts that mathematics should not be distanced from semantics. Instead, DIKWP Semantic Mathematics should adhere closely to semantics to accurately represent the reality of the world.

By emphasizing the primacy of semantics and the role of human cognition in mathematics, Prof. Duan's approach seeks to create a mathematical framework better suited for the development of real AI. This framework aligns mathematical concepts more closely with human understanding and the semantic structures that underpin our perception of reality.