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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 ...
Premises and conclusions are the basic parts of inferences or arguments and therefore play a central role in logic. In the case of a valid inference or a correct argument, the conclusion follows from the premises, or in other words, the premises support the conclusion. [ 41 ]
Premise is a claim that is a reason for, or an objection against, some other claim as part of an argument.. Premise (from the Latin praemissa [propositio], meaning "placed in front") may also refer to:
A false consequent cannot follow from true premises in a connected sequence. But, on the other hand, a false consequent can follow from a false antecedent. As an example, the name of a team , a genre , or a nation is a collective term applied ex post facto to a group of distinct individuals.
Every significant term or phrase appearing in a premise of a simple argument, should also appear in the contention/conclusion or in a co-premise.But this by itself does not guarantee a valid argument, see the fallacy of the undistributed middle for an example of this.
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.
In other words, a system is sound when all of its theorems are validities. Soundness is among the most fundamental properties of mathematical logic. The soundness property provides the initial reason for counting a logical system as desirable. The completeness property means that every validity (truth) is provable. Together they imply that all ...