
Arnold F. answered 10/29/15
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College Professor & Expert Tutor In Statistics and Calculus
the best I can come up with here is this is not a "real world" example.
If both wheels were connected to the same axis and rolled they would not go in a straight line.
If it was constrained to go in a straight line the smaller wheel either would turn more than one revolution or would not rotate properly i.e. it would be be dragged a little without rotating.
Nimo M.
but the question I presume it's asking is if the circles are different in size could they have the same circumference
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10/29/15

Arnold F.
Circles (wheels) of different sizes cannot have the same circumferences. The conclusion that the marks made by the rotating wheels will be the same can't happen.
In terms of a "valid" argument it might be considered valid only because a false premise is used to prove a false conclusion.
Nimo, I don't know what class you are taking but I teach classes in finite math, logic, etc. If you think you might benefit from one on one lessons please send me a message with any questions you might have on my tutoring.
Arnold
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10/29/15
Nimo M.
10/29/15