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Logical reasoning is concerned with the correctness of arguments. A key distinction is between deductive and non-deductive arguments. Logical reasoning is a mental activity that aims to arrive at a conclusion in a rigorous way.
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.
In order to evaluate these forms, statements are put into logical form. Logical form replaces any sentences or ideas with letters to remove any bias from content and allow one to evaluate the argument without any bias due to its subject matter. [1] Being a valid argument does not necessarily mean the conclusion will be true. It is valid because ...
Life is full of logical arguments. Logical arguments are simple chains of statements people make to explain something they believe or notice about themselves, other people or the world at large.
An example of this is the use of the rules of inference found within symbolic logic. Aristotle held that any logical argument could be reduced to two premises and a conclusion. [2] Premises are sometimes left unstated, in which case, they are called missing premises, for example: Socrates is mortal because all men are mortal.
A standard view is that whether an argument is valid is a matter of the argument's logical form. Many techniques are employed by logicians to represent an argument's logical form. A simple example, applied to two of the above illustrations, is the following: Let the letters 'P', 'Q', and 'S' stand, respectively, for the set of men, the set of ...
Here are examples: "A valid logical argument is one in which its conclusions follow from its premises, and its conclusions are consequences of its premises"; or "A valid logical argument is one in which its conclusion follows from its premises, and its conclusion is a consequence of its premises"; or "Valid logical arguments are ones in which ...
Denying the antecedent is a logical fallacy based on drawing an untrue conclusion from an if–then argument. If X is true, then Y must also be true. More: RI Senate approves 'safe-storage' gun bill.