Axioms, Proofs, and Mathematical Truth
Knowledge and Inquiry · JC 2 · The Nature of Scientific and Mathematical Knowledge · 1.º Período

Axioms, Proofs, and Mathematical Truth

Students examine the foundational role of axioms and deductive reasoning in mathematics. They evaluate whether mathematical knowledge is discovered or invented.

MOE Syllabus OutcomesSEAB H2 Knowledge and Inquiry (9751), The Construction of Knowledge: Mathematical KnowledgeSEAB H2 Knowledge and Inquiry (9751), The Nature of Knowledge: Requirements of Knowledge (Belief, Truth, Justification)

About This Topic

Students examine the foundational role of axioms and deductive reasoning in mathematics. They evaluate whether mathematical knowledge is discovered or invented.

Key Questions

  1. What constitutes a mathematical proof?
  2. Is mathematics a product of human invention or a discovery of universal truths?
  3. How does mathematical certainty compare to other fields?

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