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Which of the following can you determine, when you use deduction and start from a given set of rules and conditions?

A. What may be true
B. What may be false
C. None of these

1 Answer

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Final answer:

Deductive reasoning allows you to determine both what may be true and what may be false based on a given set of rules and conditions. It involves deriving conclusions that must be true if the premises are true, as seen in disjunctive syllogisms.

Step-by-step explanation:

When you use deduction and start from a given set of rules and conditions, you determine what must be true based on those premises if the deduction is valid. Deductive reasoning is a process where conclusions are derived from the logical implications of the premises; if the premises are true, the conclusions must also be true. This logical process is often used in mathematics and philosophy to derive conclusions from accepted axioms or propositions.

An example of deductive reasoning is a disjunctive syllogism. Let's consider the statements: 'If it is raining, the ground will be wet' (premise 1) and 'It is raining' (premise 2). From these two premises, you can deduce the conclusion that 'The ground will be wet.' This is a simple form of a deductive argument wherein the premises, if true, guarantee the truth of the conclusion.

Therefore, using deduction, you can determine A. What may be true and B. What may be false based on the given set of rules and conditions.

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