Mathematics and Human Decision-Making―Towards Integrity
Mathematics and Human Decision-Making―Towards Integrity

Summary/Abstract: This article examines the analogies between mathematical systems and the structure of human reasoning, with particular attention to the formation of personal integrity. It argues that just as mathematics operates with abstract and implicit concepts—such as infinitesimal values, probability, and infinity—to account for realities that cannot be fully demonstrated, human cognition and moral decision-making likewise depend on implicit understanding and integrative judgment rather than exhaustive analysis. Drawing on John Henry Newman’s reflections, the study highlights the concept of certitude as a psychological and ethical state that unifies knowledge and action, enabling individuals to act with confidence and inner coherence. The paper posits that integrity arises from the human mind’s capacity to synthesize diverse experiences into a comprehensive system guided by conscience. In both mathematics and ethics, it is the integrative power of the mind—rather than purely logical or empirical rules—that generates meaningful conclusions. Consequently, the study concludes that an acknowledgment of implicit, immeasurable principles is essential for understanding both mathematical reasoning and the moral dimensions of human decision-making.

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