Question

A proof is a logical sequence of justified conclusions that lead from a hypothesis to a final conclusion. In your opinion, why are mathematical proofs important?

Suppose that a conclusion within a proof isn’t justified or is inaccurate. In geometry, what might be the consequences of the inaccuracy?

Now think about different kinds of proofs that take place outside the world of geometry, and list a few examples. What might be the consequences of having an unjustified conclusion surface in such proofs? Who might be affected and how?

Answer 1

very important it's A part of geometry . earlier time scientists gave law and theory but every body knew that the law was true or false , hypothesis, postulated , or etc but today everything want to be prove you can not give prove your law and theory are can't acceptable.

Answer 2

To reduce misinterpretation

Step-by-step explanation:

Mathematical proof - The mathematical proof is verification of problems or data using definitions, postulates or theorems.

Importance - Mathematical proofs hold immense importance as they are used to explain concepts and verify theorems, also serving concrete validation for a mathematical problems.

Consequences - In geometry, any wrong judgement would lead to assumption of wrong units and magnitudes such as length, size or any other properties.

Any wrong judgement in statistics would lead to incorrect implementation of huge data and properties such as mean, median, mode, deviation, variance, etc will be resulted wrongly.

Example - Statistics interpreted wrong may result in huge headaches such as statistics used in multinational companies if misinterpreted would give wrong results and company may suffer huge losses.