rzach / forallx-yyc

UCalgary version of forallx, an introduction to formal logic
https://forallx.openlogicproject.org/
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Mistake in Chapter 35 #100

Closed Nikk-l closed 2 months ago

Nikk-l commented 2 months ago

In chapter 35, on page 295 of the printed version, the symmetric relation is symbolized as:

$$[\forall x\forall y(R(x,y) \rightarrow R(y,z))]$$

I think there has been an error in introducing the free variable $z$, as emphasized by the box just above this symbolization, and it was rather meant to be defined as:

$$[\forall x\forall y(R(x,y) \rightarrow R(y,x))]$$

This same error also shows itself in the practice exercise B of the same chapter.

rzach commented 2 months ago

Good catch, thanks!