# 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 doesnâ€™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.