Calculus vs. Non-contradiction?



I have no background in Calculus but I am convinced that the
principle in logic of Non-Contradiction to be correct. A and Not-A
cannot both be true simultaneously. However, I was recently told by
someone, who is reading some very big, philosophical book on
mathematics, that the proposition of calculus disproves the Law of Non-
Contradiction in logic. Can someone fill me in on how this would
work? Thanks.

.



Relevant Pages

  • Re: constant and locally constant
    ... A calculus student might "solve" this by spotting that such a function ... But the proof of that principle requires a compactness ... If a differentiable function is not constant, ...
    (sci.math)
  • Re: constant and locally constant
    ... A calculus student might "solve" this by spotting that such a function ... calculus principle, the function is constant. ... Why does the principle need compactness? ... Let f:X -> Y be a locally constant function over a connected, ...
    (sci.math)
  • constant and locally constant
    ... A calculus student might "solve" this by spotting that such a function ... But the proof of that principle requires a compactness ... and the exercise should be attempted from first principles. ...
    (sci.math)
  • Re: model theory: Whats the big picture?
    ... suppose I know someone who is going to teach himself calculus. ... Axiom of Choice all the time. ... that assuming AC is going to lead to a contradiction, ... "Understanding Godel isn't about following his formal proof. ...
    (sci.logic)
  • Re: ** says: Definition: sum{i in N} i = 0
    ... Of course you are permitted to establish some calculus ... This is a contradiction to theorem 0, ... Dik defined that the "sum" over naturals is a real number, ...
    (sci.math)