Unit 2 logic and proof homework 5 deductive reasoning

Question:

What is a conjecture in geometry?

Answer:

Inductive reasoning is used to come up with a guess. Formal math is based on facts that can be proven. In math, it doesn’t matter how many examples support a universally quantified conjecture. All it takes to disprove the conjecture is a single counterexample. Mathematical journals sometimes print the small results of research teams that looked for a counterexample in a deeper way than they had before.

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