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Intermediate conclusions or sub-conclusions, where a claim is supported by another claim that is used in turn to support some further claim, i.e. the final conclusion or another intermediate conclusion: In the following diagram, statement 4 is an intermediate conclusion in that it is a conclusion in relation to statement 5 but is a premise in ...
In this form, you start with the same first premise as with modus ponens. However, the second part of the premise is denied, leading to the conclusion that the first part of the premise should be denied as well. It is shown below in logical form. If A, then B Not B Therefore not A. [3] When modus tollens is used with actual content, it looks ...
Logical reasoning happens by inferring a conclusion from a set of premises. [3] 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 ...
Unsubstantiated claims, which lack specific evidence, involve some common fallacies, which can mislead other editors into false conclusions. Some common fallacies of baseless claims include: Begging the question - asserting a claim as if true but without proof; Argumentum ad nauseam - repeating remarks, typically with "walls of text" which lack ...
Claim 1. A filter comprising a housing, Smith teaches "the filter housing the housing having an outer wall, having an outer wall 1, a closed end, a closed end 2, an open end, and: an open end 3, a lid: and a hinged lid 4 attachable to the open end... that is securable to the open end 3 via clamp 5." (col. 6, lines 2–3; Figure 3).
Argument terminology used in logic. In logic, an argument is a set of related statements expressing the premises (which may consists of non-empirical evidence, empirical evidence or may contain some axiomatic truths) and a necessary conclusion based on the relationship of the premises.
Simple template to link Federal Rules of Evidence citations to the text. This template links to external sites. External links should not normally be used in the body of an article; see Wikipedia:External links for discussion of acceptable and unacceptable uses.
Examples also constitute valid, if inelegant, proof, when it has also been demonstrated that the examples treated cover all possible cases.. In mathematics, proof by example can also be used to refer to attempts to illustrate a claim by proving cases of the claim, with the understanding that these cases contain key ideas which can be generalized into a full-fledged proof.