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Questions and Answers

What is the primary method used in mathematical activity?

Discovery of properties of abstract objects and use of pure reason (correct)
Trial and error
Intuition and guesswork
Experimentation and observation

What are the major subdisciplines of modern mathematics?

Calculus, statistics, trigonometry, and arithmetic
Number theory, algebra, geometry, and analysis (correct)
Differential equations, logic, combinatorics, and cryptography
Topology, calculus, algebra, and probability

What are the objects of mathematical study in modern mathematics?

Human emotions and experiences
Physical objects and natural phenomena
Historical artifacts and cultural symbols
Abstractions from nature and entities stipulated to have certain properties (correct)

What does a proof in mathematics consist of?

A succession of applications of deductive rules to established results (C) Signup and view all the answers

What is the nature of the entities in modern mathematics?

Stipulated to have certain properties, called axioms (A) Signup and view all the answers

What unifying theme in biology explains the unity and diversity of life?

Evolution (B) Signup and view all the answers

What is the primary unit that all organisms are made up of?

Cells (D) Signup and view all the answers

What allows organisms to move, grow, and reproduce?

Energy processing (A) Signup and view all the answers

At what levels of organization can biologists study life?

From molecular biology to the evolution of populations (A) Signup and view all the answers

What do biologists use to make observations and pose questions?

The scientific method (C) Signup and view all the answers