What is wrong with this argument? Let S(x, y) be “x is

Chapter 7, Problem 18E

(choose chapter or problem)

What is wrong with this argument? Let \(S(x, y)\) be " \(x\) is shorter than \(y\)." Given the premise \(\exists s S(s\), Max), it follows that S(Max, Max). Then by existential generalization it follows that \(\exists x S(x, x)\), so that someone is shorter than himself.

Equation Transcription:

∃sS(s, Max),

∃xS(x, x)

Text Transcription:

S(x, y)

x

y

S(Max, Max)

\exists s S(s Max),

\exists x S(x, x)

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