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Arwin Janoyan
Arwin Janoyan
Philippines

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by Arwin Janoyan
1

These laws state that applying the same logical operation to a single proposition repeatedly does not change the proposition.

Choose one or more answers

2

Just like addition and multiplication in regular math (2 + 3 = 3 + 2), the order in which you present the propositions does not change the outcome for certain operators.

3

When dealing with a chain of the same operators (all ANDs, all ORs, etc.), the way you group the propositions with parentheses does not matter.

4

These laws act as shortcuts. If a proposition p is paired with a compound statement that contains both p and another proposition q, the p "absorbs" the rest of the statement.

5

Two negatives cancel each other out.

6

This operates exactly like the distributive property in algebra, where x(y + z) = xy + xz. Here, we distribute an AND over an OR, or an OR over an AND.

7

De Morgan's laws govern how you distribute a negation (a NOT) into parentheses. When you negate a grouped AND, it becomes an OR. When you negate a grouped OR, it becomes an AND.

8

These laws establish what happens when you combine an unknown proposition (p) with an absolute True (t) or absolute False (f).

9

These define the relationship between a proposition and its exact opposite.

 
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