AND ELIMINATION Meaning and
Definition
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AND elimination is a logical rule of inference used in propositional calculus and formal logic to simplify or deduce new statements. It is based on the principle that if a statement is known to be true, and it is also known that another statement is true, then both statements can be combined using the logical connective "AND" to form a new true statement.
In simpler terms, AND elimination is the process of taking two individual statements that are both known to be true and combining them into a single statement using the word "AND". This allows us to simplify our understanding of the situation and draw new conclusions based on the combined information.
For example, let's say we have two statements: "It is raining" and "The ground is wet." Using AND elimination, we can combine these statements to form the new statement "It is raining AND the ground is wet." This new statement represents the conjunction of the two individual statements, and it tells us that both conditions are true at the same time.
AND elimination helps us to break down complex problems or arguments into simpler, more manageable components. It allows us to apply the truth values of multiple statements simultaneously, providing a foundation for further logical reasoning. By logically combining statements using the "AND" operator, we can obtain a more comprehensive understanding of the situation at hand.
