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Explain the difference between deductive and inductive logic.

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Final answer:

Deductive reasoning is a logical process that begins with a general statement and moves to a specific conclusion, while inductive reasoning starts with specific observations and moves towards a generalization. Deductive reasoning asserts certainty if the premises are true, whereas inductive reasoning offers probable conclusions that can be strong but not certain.

Step-by-step explanation:

Difference Between Deductive and Inductive Reasoning

Deductive and inductive reasoning are two distinct methods used in different types of logical processes. Deductive reasoning is a logical process in which a conclusion is based on the concordance of multiple premises that are generally assumed to be true. It starts with a general statement or hypothesis and examines the possibilities to reach a specific, logical conclusion. Deductive reasoning moves from a general principle to a specific instance. For example, if it is assumed that all birds fly, and a robin is a bird, we can deductively infer that a robin can fly.

In contrast, inductive reasoning involves making broad generalizations from specific observations. Essentially, one observes a pattern, makes a generalization, and then infers an explanation or a rule. Inductive reasoning moves from specific instances to a generalized conclusion. An example of inductive reasoning would be observing that the sun has risen every morning, and therefore concluding that the sun will rise every morning in the future.

While both are valuable, deductive arguments can be seen as more certain since if the premises are true, the conclusion must follow. However, inductive reasoning allows for the conclusion to be false even if all of the premises are true, offering a conclusion that is probable, with a varying degree of strength. A scientist might start with an inductive conclusion, which then becomes the premise for further deductive reasoning. For instance, after noting the sun's pattern of rising, one might deduce the sun will rise tomorrow.

Deductive reasoning works from the more general to the more specific, sometimes informally called a "top-down" approach. The inductive reasoning works the opposite way, moving from specific observations to broader generalizations and theories, known as a "bottom-up" approach.

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