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In this regard, logical reasoning should be skeptical and open-minded at the same time. [120] On the practical level, logical reasoning concerns the issue of making rational and effective decisions. [114] [115] For many real-life decisions, various courses of action are available to the agent. For each possible action, there can be conflicting ...
A logical rule that justifies the transition from a set of premises to a conclusion, forming the basis of deductive reasoning. rule of replacement A rule in formal logic allowing for the substitution of equivalent expressions within logical proofs, maintaining the validity of the argument.
With this reasoning, one statement could be "Every A is B" and another could be "This C is A". Those two statements could then lead to the conclusion that "This C is B". These types of syllogisms are used to test deductive reasoning to ensure there is a valid hypothesis. [29] A Syllogistic Reasoning Task was created from a study performed by ...
A sentence is said to be a logical consequence of a set of sentences, for a given language, if and only if, using only logic (i.e., without regard to any personal interpretations of the sentences) the sentence must be true if every sentence in the set is true. [3] Logicians make precise accounts of logical consequence regarding a given language ...
Deductive inference is monotonic: if a conclusion is reached on the basis of a certain set of premises, then that conclusion still holds if more premises are added. By contrast, everyday reasoning is mostly non-monotonic because it involves risk: we jump to conclusions from deductively insufficient premises.
Every argument's conclusion is a premise of other arguments. The word constituent may be used for either a premise or conclusion. In the context of this article and in most classical contexts, all candidates for consideration as argument constituents fall under the category of truth-bearer: propositions, statements, sentences, judgments, etc.
A syllogism (Ancient Greek: συλλογισμός, syllogismos, 'conclusion, inference') is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two propositions that are asserted or assumed to be true. "Socrates" at the Louvre
Argumentation theory is the interdisciplinary study of how conclusions can be supported or undermined by premises through logical reasoning. With historical origins in logic , dialectic , and rhetoric , argumentation theory includes the arts and sciences of civil debate, dialogue , conversation , and persuasion .