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IB Theory of Knowledge Topic 1.10 Area of Knowledge: Mathematics (SL/HL) covers syllabus content. Use these Notes to review the topic, practise exam questions, and move between notes, videos, flashcards, and lessons where available.
1.10.1 What mathematics is about
1.10.2 Axioms, definitions and systems
1.10.3 Proof and deductive certainty
1.10.4 What proof cannot do
1.10.5 Non-Euclidean geometry and axiom choice
1.10.6 Infinity and counterintuitive results
1.10.7 Invented or discovered?
1.10.8 Platonism, formalism and other positions
1.10.9 Beauty and elegance as criteria
1.10.10 Why mathematics works so well in physics
1.10.11 Mathematics as the language of other areas of knowledge
1.10.12 Modelling and idealisation
1.10.13 Statistics: what numbers can and cannot show
1.10.14 Misleading with true numbers
1.10.15 Responsibility for models and algorithms
1.10.16 Assessment bridge: mathematics in essay titles