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Questions and Answers
Which subdiscipline of mathematics deals with the study of numbers?
Which subdiscipline of mathematics deals with the study of numbers?
- Algebra
- Number theory (correct)
- Analysis
- Geometry
What is the main tool used in mathematics to prove properties of abstract objects?
What is the main tool used in mathematics to prove properties of abstract objects?
- Pure reason (correct)
- Experimentation
- Intuition
- Observation
Which branch of mathematics focuses on the study of shapes and their properties?
Which branch of mathematics focuses on the study of shapes and their properties?
- Analysis
- Algebra
- Number theory
- Geometry (correct)
What are the entities in modern mathematics that are stipulated to have certain properties called?
What are the entities in modern mathematics that are stipulated to have certain properties called?
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What is a proof in mathematics composed of?
What is a proof in mathematics composed of?
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Study Notes
Number Theory
- Deals with the study of numbers.
Mathematical Tools
- Main tool used to prove properties of abstract objects: Proofs.
Geometry
- Focuses on the study of shapes and their properties.
Mathematical Entities
- Modern mathematics: Entities stipulated to have certain properties are called Axioms.
Proof in Mathematics
- Composed of: Series of logical statements, each building on previous ones to establish truth of a theorem.
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