deductive reasoning

Formal System

A formal system is a set of symbols and rules for manipulating them, used to derive statements or theorems in…

4 days ago

Formal Proof Explained

A formal proof is a rigorous demonstration of truth within a formal system. Each step is precisely justified by a…

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Formal Fallacy

A formal fallacy is a flaw in the structure or form of an argument, distinct from errors in its content.…

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Formal Consequence: Logic’s Pure Structure

A formal consequence is a conclusion derived solely from the logical form of propositions, independent of their content. It contrasts…

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Syllogistic Figure: Understanding Logical Structure

A syllogistic figure refers to the arrangement of the major and minor terms in a categorical syllogism. It's crucial for…

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Fallacy of Four Terms

A logical error in syllogistic reasoning where an argument improperly uses four distinct terms instead of the required three, rendering…

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Fallacy of Division

The fallacy of division is a logical error where one wrongly assumes that characteristics of a whole apply to its…

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Existential Instantiation: Inferring Existence from Generic Statements

Existential instantiation is a logical rule enabling the inference of a specific individual's existence from a generic existential statement. It's…

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E-proposition: Understanding Universal Negatives in Logic

An E-proposition, in traditional logic, is a universal negative categorical statement. It asserts that no members of one class are…

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Entailment: Understanding Logical Necessity

Entailment defines the logical connection where true premises guarantee a true conclusion. It's fundamental to deductive reasoning, ensuring that if…

4 days ago