Truth in the arts is subjective, beauty in the eye of the beholder so to speak, people find it hard to define and distinguish a definite truth in the arts as for some it is just viewed upon as a series of shapes, colours, and patterns, nothing more and nothing less. However, for the artist who has produced that piece of work, he would gaze upon it and see the truth within, truth which he hoped to portray by creating that piece of art. Truth in the arts is hard to categorize simply because opinions and ideas differ when trying to decide guidelines in this particular way of knowing. However we must take into account that as more and more people become involved in trying to define a boundary for truth in the arts, the more opinions are added to the mix, therefore leading to more confusion and disagreement. Truth in the arts is what CAN be, but there will never be an absolute truth.
Truth in mathematics is objective. Unlike the area of the arts, in the area of mathematics truth is rather clearer cut, defined and sculptured so that we do not misinterpret it. In mathematics, truths are reached via logic, and these accused truths in mathematics have to be able to be proven. However if in the area of mathematics a concept cannot be proven to work, we cannot classify it as being a truth. Therefore we come to the conclusion that the extent of truth in mathematics is defined only when there is logical evidence sufficient to prove the concept as working. Truth in mathematics is ASBOLUTE. If a mathematical formula isn’t proven as truth then it is merely a theorem.
Also, in mathematics, truth is a value, as 1, 2, 3 are values; and a true value are often reached as the result of so-called "decision problems". A simple decision problem: Is 1 < 2? The answer is yes, or the following equality holds: 1 < 2 = True. Similarly, the following: 1 > 2 = False. In order to know more about mathematical truth, we should turn our attention over to studying propositional calculus (aka "propositional logic" or "sentential logic”). However it may be interesting to take a look into the history of mathematical truths, inevitably begging the question: are they invented or discovered?
The main point of discussion here is that truth in ethics and truth in art differs in that ethics is essentially what ‘should be’ and art is what ‘can be’
Knowledge issues that need to be discussed here include: What different methods are there to verify the truth of different knowledge claims? And what is the difference between individual or personal truth and communal or collective truth?
A very valid argument here is that we use all three (The Arts, Mathematics, and Ethics) in order to grasp truths, so therefore they are not truths themselves, and truth cannot be defined in each one. Now, if they are simply used as tools for each of us to understand truths in different lights, then why is there a debate as to what extent truth can be defined of in each of these? If they are merely tools, and not domains; is there an explicit way to answer the question posed above?
Taking all this into account, we can fairly conclude that the meaning of truth is interpreted differently in the areas of mathematics, arts