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The question was to find the truth values of if 3×5=15, then 3+5=10?

Is the truth table corresponding to p $\implies $q ?

Or is it more complicated than that? Do we have to consider something like $(p \land q \implies r ) \implies (p \lor q \implies s) ?$

Martin Sleziak
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S.Dan
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1 Answers1

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The expression $3\times5=15\implies3+5=10$ is equivalent to the expression $true \implies false$.

This expression has $0$ Boolean arguments, hence the size of its truth table is $2^0=1$.

The only value in the truth table of this expression is of course $false$.

For non-constant $p$ and $q$, the truth table of the expression $p \implies q$ consists of $2^2=4$ entries:

 p | q | v
---|---|---
 0 | 0 | 1
---|---|---
 0 | 1 | 1
---|---|---
 1 | 0 | 0  this zero is the truth table of your expression
---|---|---
 1 | 1 | 1
barak manos
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