Zero and Even Numbers
Name: Melanie C.
Is there any other reason for single-digit placeholder
zero to be considered an even number other than its placement on a number
Zero is neither 'even' nor 'odd' because the symmetries of 'even' x
'even' = 'even';
'even' x 'odd' = 'even' ; and 'odd' x 'odd' = 'odd'. Substituting zero into
these placeholders gives the result that zero is both even and odd which is
"reductio ad absurdum" and hence undefined.
The definition of "even number" tells us that zero is an even number. Any
integer multiple of an integer is an even number. Zero equals two times
Dr. Ken Mellendorf
Illinois Central College
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Update: June 2012