To what extent is truth different in mathematics, ethics and natural sciences?

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To what extent is truth different in mathematics, ethics and natural sciences?

Knowledge is often defined as being a justified true belief but it is hard to find the moment when we can consider our beliefs to have enough justification to be true. The evidence which we use to justify our beliefs in ethics, mathematics and natural sciences, are all different. Therefore the knowledge we claim to be true in each of the areas is a different kind of knowledge and has different certainty.  

In mathematics all truth is based on certain laws and for as long as we can guarantee that these laws are right, everything we know is right. For example, we know that the corners of a right-angled triangle add up to 180 degrees and because of that we can say that a rectangle’s corners add up to 360 degrees. Knowing that, we can build houses, planes and other machines. We can say that most of our knowledge in maths is true because it all coheres with our fundamental beliefs about maths and with what we know about real life.

On the other hand, we keep discovering new things, which require new and improved mathematical theories. Although we are certain that three sides of a triangle add up to 180 degrees on a 2 dimensional area, we now know that this is not the case with three dimensions.  Similarly, all mathematical laws that apply to our universe, it is probable that in another universe completely different rules would apply. It would be arrogant to say that everything we know in maths is certain because we keep making new discoveries, which make us amend our previous laws.

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We can be fairly certain that we all see the same things and the fact that mathematical truths apply to real life, makes truth in mathematics fairly certain.  For example, we use statistics to find how big the percentages of occurrences in real life are and we have enough evidence to back that up in real life. We have the justification to believe that something is the way it is and also the proof in real life examples.  

It would be reasonable to assume that since human sciences are something that is closer to us, we would be more ...

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