Propositional Logic - Conjunction

In natural language a conjunction is equivalent to the conjunction ‘and’. This is going to lead us with the following condition:

$ v(P∧Q)=T iff v(P)=T and v(Q)=T $

Figure 2

Here figure 2 shows that it must be true that both P and Q are true for the wff ‘P and Q’ to be true. The associated truth table can be constructed as follows:

P

Q

P∧Q

T

T

T

T

F

F

F

T

F

F

F

F

Table 4

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