Abstract
This chapter discusses the unreliability of the logical principles. Logic has been applied in mathematics with confidence and people have never hesitated to accept conclusions deduced by the means of logic from valid postulates. Paradoxes have been constructed that appear to be mathematical paradoxes and that arouse distrust against the free use of logic in mathematics. Some mathematicians abandon the idea that logic is presupposed in mathematics, and they try to build up logic, and mathematics together using the methods of the school of logistics, founded by Peano. It can be shown that these paradoxes rise from the same error as that of Epimenides, to wit that they originate where regularities in the language that accompanies mathematics are extended to a language of mathematical words which is not connected with mathematics. One see that logistics is also concerned with the language of mathematics instead of with mathematics itself; consequently it cannot throw light on mathematics.
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