VISUAL AND SPATIAL ANALYSIS:
Advances in Data Mining,
Reasoning and Problem Solving

Toward visual reasoning and discovery: lessons from early history of mathematics
Boris Kovalerchuk

    Sections

    1.   Introduction

    2.   Visualization as illustration: lessons from hieroglyphic numerals

    3.   Visual reasoning: lessons from hieroglyphic arithmetic

    4.   Visual discovery: lessons from the discovery of p

    5.   Conclusion

    6.   Exercises and problems

    7.   References

    Abstract

    Currently computer visualization is moving from a pure illustration domain to visual reasoning, discovery, and decisions making. This trend is associated with new terms such as visual data mining, visual decision making, heterogeneous, iconic and diagrammatic reasoning. Beyond a new terminology, the trend itself is not new as the early history of mathematics clearly shows. In this chapter, we demonstrate that we can learn valuable lessons from the history of mathematics for visual reasoning and discovery.

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