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The Class VIII (ages 12–13) book (Punjab Textbook Board) on Islamic Studies reads: "Honesty for non-Muslims is merely a business strategy, while for Muslims it is a matter of faith." The Class V (ages 9–10) book (Punjab Textbook Board) on Social Studies says: "Religion plays a very important role in promoting national harmony.
In mathematics, certain kinds of mistaken proof are often exhibited, and sometimes collected, as illustrations of a concept called mathematical fallacy.There is a distinction between a simple mistake and a mathematical fallacy in a proof, in that a mistake in a proof leads to an invalid proof while in the best-known examples of mathematical fallacies there is some element of concealment or ...
P. Oxy. 29, one of the oldest surviving fragments of Euclid's Elements, a textbook used for millennia to teach proof-writing techniques. The diagram accompanies Book II, Proposition 5. [1] A mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the
It deals with propositions [1] (which can be true or false) [10] and relations between propositions, [11] including the construction of arguments based on them. [12] Compound propositions are formed by connecting propositions by logical connectives representing the truth functions of conjunction , disjunction , implication , biconditional , and ...
Forms of logical reasoning can be distinguished based on how the premises support the conclusion. Deductive arguments offer the strongest possible support. Non-deductive arguments are weaker but are nonetheless correct forms of reasoning. [28] [29] The term "proof" is often used for deductive arguments or very strong non-deductive arguments. [30]
Deductive arguments are evaluated in terms of their validity and soundness. An argument is valid if it is impossible for its premises to be true while its conclusion is false. 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.
In classical philosophy, dialectic (διαλεκτική) is a form of reasoning based upon dialogue of arguments and counter-arguments, advocating propositions (theses) and counter-propositions . The outcome of such a dialectic might be the refutation of a relevant proposition, or a synthesis, a combination of the opposing assertions, or a ...
An argument from authority [a] is a form of argument in which the opinion of an authority figure (or figures) is used as evidence to support an argument. [ 1 ] The argument from authority is a logical fallacy , [ 2 ] and obtaining knowledge in this way is fallible.
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