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A premise or premiss [a] is a proposition—a true or false declarative statement—used in an argument to prove the truth of another proposition called the conclusion. [1] Arguments consist of a set of premises and a conclusion. An argument is meaningful for its conclusion only when all of its premises are true. If one or more premises are ...
The following is an example of an argument within the scope of propositional logic: Premise 1: If it's raining, then it's cloudy. Premise 2: It's raining. Conclusion: It's cloudy. The logical form of this argument is known as modus ponens, [39] which is a classically valid form. [40]
The systematic study of the form of valid inference, including the structures that allow or compel particular conclusions given certain premises. logic gate A physical device implementing a Boolean function, used in digital circuits to perform logical operations on one or more binary inputs to produce a single binary output. logical machine
Premises and conclusions are normally seen as propositions. A proposition is a statement that makes a claim about what is the case. In this regard, propositions act as truth-bearers: they are either true or false. [18] [19] [3] For example, the sentence "The water is boiling." expresses a proposition since it can be true or false.
For example, the rule of inference called modus ponens takes two premises, one in the form "If p then q" and another in the form "p", and returns the conclusion "q". The rule is valid with respect to the semantics of classical logic (as well as the semantics of many other non-classical logics ), in the sense that if the premises are true (under ...
An argument map or argument diagram is a visual representation of the structure of an argument.An argument map typically includes all the key components of the argument, traditionally called the conclusion and the premises, also called contention and reasons. [1]
Example: (1) Dogs are mammals. (4) Mammals do not have gills. Therefore (5) dogs do not have gills. Premise (1) states that "dog" is a subkind of the kind "mammal". Premise (4) is a (universal negative) claim about the kind "mammal". Statement (5) concludes that what is denied of the kind "mammal" is denied of the subkind "dog".
Logic studies arguments, which consist of a set of premises that leads to a conclusion. An example is the argument from the premises "it's Sunday" and "if it's Sunday then I don't have to work" leading to the conclusion "I don't have to work". [1] Premises and conclusions express propositions or claims that can be true or false. An important ...