Answer to Question #71631 in Math for Janette A. Merenillo

Question

1. 1. Prove by simple arguments that the square root of 2 is not a rational number. What is the implication of this finding to the early Pythagoreans who claimed that all numbers are commensurable?
1.2. Discuss the “foundational issues of Mathematics”. Is Mathematics really nothing more than logic? What, in particular, would be the problem of this point of view if we consider “analysis”?

Answer 1

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