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The Nature of Mathematical Truth
Knowledge and Inquiry · JC 1 · Formal Knowledge: Mathematics and Logic · 4.º Período

The Nature of Mathematical Truth

Students investigate whether mathematics is discovered or invented. They will explore the foundational role of axioms and deductive reasoning in establishing mathematical certainty.

MOE Syllabus OutcomesSEAB 9751 LO2: Understand how knowledge is constructed in different fields.SEAB 9751 LO3: Critically evaluate knowledge claims and their justifications.

About This Topic

Students investigate whether mathematics is discovered or invented. They will explore the foundational role of axioms and deductive reasoning in establishing mathematical certainty.

Key Questions

  1. Is mathematics a product of the human mind or an inherent feature of the universe?
  2. How do axioms form the basis of mathematical knowledge?
  3. What constitutes a mathematical proof?