Identify the contradiction.  If I sing a song today, then I will sing a song today.  I will sing a song today, and I will not sing a song today.  I will sing a song today if and only if I will sing a song today.  I will sing a song today, or I will not sing a song today.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Identify the contradiction.

 If I sing a song today, then I will sing a song today. 

I will sing a song today, and I will not sing a song today. 

I will sing a song today if and only if I will sing a song today.

 I will sing a song today, or I will not sing a song today.

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