When the proof doesnt show the truth

Abstract: Throughout this paper, by representing some paradoxes and their

associated proofs and arguments, we try to show the cases which proving

some assertions doesn’t conclude the truth of them . In the next step, we

try to find out Which proofs could be considered as reliable in a way that it

shows the Truth of their related assertion, specially We claim that math-

metical proofs could be considered as reliable ones in this sense.

Nevertheless, we claim that the validation of the previous assertion is

comparable to validation of Church Thesis in Computability Theory. So, we

could use it and we consider these proofs as reliable ones but we should be

doubtful about their truth. At last we give a possible explanation for this

subject (based on local arguments and global arguments, the concepts which

we introduce them throughout this paper), and we investigate the validity of this

explanation. What we should bold it here is: In this approach we know the proofs

in these paradoxes as correct proofs, but the point which we want to stress on that

would be: the proof doesn’t show

the truth.

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