This book argues that irrationality is no hinderance to something being true?

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Betty

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This book by colin leslie dean argues that irrationality is no hinderance to something being true
http://gamahucherpress.yellowgum.com/books/philosophy/irrationality.pdf
Absurdities or meaninglessness or irrationality is no hindrance [sic] to something being 'true' rationality, or, Freedom from contradiction or paradox is not a necessary an/or sufficient condition for 'truth': mathematics and science examples


The colin leslie dean theorem

"Examples from mathematics and science show the theorem: contradiction, or inconsistency within an explanation as well as mutual contradiction, or incommensurability [sic] between explanations does not preclude the explanation or both explanations from being 'true'" p 3



ie
calculaus was self contradictory -but it worked

p 10
“Newton and Leibniz developed the calculus…. Their ideas were attacked for being full of paradoxes.” Newton’s formulation of calculus was self-contradictory yet it worked. Newton worked with small increments going of to a zero limit. Berkeley showed that this leads to logical inconsistency. The main problem Bunch notes was “that a quantity was very close to zero, but not zero, during the first part of the operation then it became zero at the end.”
Up until then calculus was used pragmatically such that “instead of having demonstrations justify results, results were used to justify demonstrations.”
 
This is very subjective. What is true for one may be false for another. If we're discussing universal truths like gravity, however, I'd say it must be rational simply because it's a universal truth.
 
And THIS is why I dropped from calculus in college.

Draw out a number line with a place in the center for "Zero." Now draw an arrow that meets the line/hash mark representing "Zero." Take that page over to your handy-dandy photo copier and enlarge it. Suddenly that thin line representing "Zero" is an inch (2.54 cm) wide. Prior to being enlarged it was less than 1 mm wide. Now try and find the center of that inch wide line representing "Zero" and then mark it. Now take that over to the copier and enlarge it again. No matter how long you keep repeating this, you will never find "Zero."

Now, any rational person would just accept this and move on, but my oh so logical professor refused to leave it alone. I became irrationally irritated because I was trying to be logical.
 
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