Answer to Quiz #1
Syntactic derivation
[φ”] It is not the case that some woman hates that woman		…B3 (p.70)

It is not …	[φ’] some woman hates that woman			…B6 (p.70)

	     woman	[φ] v1 hates v1					…B2 (p.70)

			v1	hates v1					…B1 (p.70)

			    hates	     v1		

The syntactic/semantic  rules are not being listed here. Look them up on pages 69-74 of DWP. Also very low-level semantic rules such as B1, B2 etc. and their application are being taken for granted.
			
Computation of semantic value/denotation 
Let g be an arbitrary value assignment.
[[φ’]]M,g = 0 since there is no g’ exactly like g except possibly for the fact that it assigns e to v1 such that [[woman]]M, g’ (e) = F(woman)(e) = 1, and [[φ]]M,g’ = 1.											… B6 (p.74)
Hence, [[φ”]]M,g = 1								… B3 (p.73)
Since g is arbitrary and φ” is a sentence, it follows that [[φ”]]M = 1, that is φ” is true in the model under consideration.					… C1 (p.74)	

Note that each syntactic rule has a coresponding semantic rule. This fact has been emphasized by assigning them identical numbers (B3, B6 etc.) Pay close attention to how this answer is written up.