The conclusion or deduction.
"In logic and mathematics, a two-place logical connective or, is a logical disjunction, also known as inclusive disjunction or alternation, that results in true whenever one or more of its operands are true. E.g. in this context, "A or B" is true if A is true, or if B is true, or if both A and B are true" (Wikipedia)
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Boolean algebra deals with logic and truth as it pertains to sets and possibilities. It uses the and, or and not operators to set up truth tables to define if a statement is true or not.
an identity? maybe a tautology? Comment by mgately: In the field of discrete mathematics (simplified the study of logic) any expression which always evaluates to true is in fact called a tautology. While less cool sounding, an expression which always evaluates to false is just called a contradiction.
The truth table for a valid deductive argument will show that when the premises are true, the conclusion is also true. It will demonstrate that the argument follows the rules of deductive logic and the conclusion necessarily follows from the premises.
True. A valid argument can have a false conclusion if the premises logically lead to that conclusion even though it is not true. Validity in logic refers to the structure of the argument, regardless of the truth or falsity of the premises or conclusion.
A valid argument contains a logical structure in which the premises logically lead to the conclusion. This means that if the premises are true, the conclusion must also be true. Additionally, the argument must follow the rules of logic, such as modus ponens or modus tollens.
also known as circular logic. The reasoner begins with what they are trying to end with, meaning that the argument is valid if the beginning is true, the conclusion must also be true
In logic, a valid argument is one where the conclusion logically follows from the premises. A sound argument is a valid argument with true premises. So, a sound argument is not only valid, but it also has true premises, making it both logically correct and factually accurate.
Deductive arguments are based on logical reasoning, where the conclusion necessarily follows from the premises. In a deductive argument, if the premises are true, then the conclusion must also be true. This form of reasoning aims to demonstrate the validity of the conclusion through the structure of the argument.
Valid. A deductive argument is considered valid when it follows the correct form of logic, even if the premises are not true. This means that if the premises of a valid deductive argument are true, then the conclusion must also be true.
A premise is the fact or supposition upon which a chain of logic is based. If it is true, and logic (reasoning) is correctly applied, then the conclusion reached by the chain of logic is also true. When you negate the premise, you show that the premise is not true and that, therefore, the conclusion is not true, or at the least, has not been demonstrate to be true.
Not necessarily. An argument is not automatically true just because the premise and conclusion are true. The reasoning connecting the premise to the conclusion must also be valid for the argument to be considered true.
A logic argument is a statement of logic. The term "argument" means a statement that could be true or false. A Statement that has not been tested as true or false is known as a theory. Logic is the term meaning the structure of an argument or statement and how it applies in its use.
A sound argument cannot have a false conclusion. A sound argument refers to a deductive argument which is valid and has all true premises, therefore its conclusion cannot be false.
A deductively valid argument is if the premises are true then the conclusion is certainly true, not possibly true. The definition does not say that the conclusion is true.