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Premises are land and buildings together considered as a property. This usage arose from property owners finding the word in their title deeds , where it originally correctly meant "the aforementioned; what this document is about", from Latin prae-missus = "placed before".
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. It is evident that a tacitly understood claim is that Socrates is a man. The fully expressed reasoning ...
Premise (from the Latin praemissa [propositio], meaning "placed in front") may also refer to: Premises, land and buildings together considered as a property; Premise (narrative), the situational logic driving the plot in plays; Premise, a trade name for the insecticide Imidacloprid
A property of a graph in which there is a path between any two vertices, or a property of a topological space in which it cannot be divided into two disjoint nonempty open sets. connexive logic A branch of logic that studies principles of connection between propositions, such as the relation between a statement and its contrapositive.
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 ...
Deductive reasoning offers the strongest support: the premises ensure the conclusion, meaning that it is impossible for the conclusion to be false if all the premises are true. Such an argument is called a valid argument, for example: all men are mortal; Socrates is a man; therefore, Socrates is mortal.
In other words, the conclusion must be true if the premises are true. An argument can be “valid” even if one or more of its premises are false. An argument is sound if it is valid and the premises are true. It is possible to have a deductive argument that is logically valid but is not sound. Fallacious arguments often take that form.
The form of a modus ponens argument is a mixed hypothetical syllogism, with two premises and a conclusion: . If P, then Q.; P.; Therefore, Q. The first premise is a conditional ("if–then") claim, namely that P implies Q.