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In logical argument and mathematical proof, the therefore sign, ∴, is generally used before a logical consequence, such as the conclusion of a syllogism. The symbol consists of three dots placed in an upright triangle and is read therefore. While it is not generally used in formal writing, it is used in mathematics and shorthand.
(the symbol may also indicate the domain and codomain of a function; see table of mathematical symbols). ⊃ {\displaystyle \supset } may mean the same as ⇒ {\displaystyle \Rightarrow } (the symbol may also mean superset ).
Therefore sign (U+2234 ∴ THEREFORE), a shorthand form of the word "therefore" or "thus" * In Japanese maps, the same symbol (∴) indicates an historic site. U+20DB ⃛ COMBINING THREE DOTS ABOVE character is a combining diacritical mark for symbols.
Registered trademark symbol: Trademark symbol ※ Reference mark: Asterisk, Dagger: Footnote ¤ Scarab (non-Unicode name) ('Scarab' is an informal name for the generic currency sign) § Section sign: section symbol, section mark, double-s, 'silcrow' Pilcrow; Semicolon: Colon ℠ Service mark symbol: Trademark symbol / Slash (non-Unicode name ...
Therefore (Mathematical symbol for "therefore" is ), if it rains today, we will go on a canoe trip tomorrow". To make use of the rules of inference in the above table we let p {\displaystyle p} be the proposition "If it rains today", q {\displaystyle q} be "We will not go on a canoe today" and let r {\displaystyle r} be "We will go on a canoe ...
The symbol is definitely not my invention — it appeared in popular magazines (not mathematical ones) before I adopted it, but, once again, I seem to have introduced it into mathematics. It is the symbol that sometimes looks like , and is used to indicate an end, usually the end of a proof.
In propositional logic, modus ponens (/ ˈ m oʊ d ə s ˈ p oʊ n ɛ n z /; MP), also known as modus ponendo ponens (from Latin 'mode that by affirming affirms'), [1] implication elimination, or affirming the antecedent, [2] is a deductive argument form and rule of inference. [3]
Therefore, () To recast the reasoning using the resolution technique, first the clauses must be converted to conjunctive normal form (CNF). In this form, all quantification becomes implicit: universal quantifiers on variables ( X , Y , ...) are simply omitted as understood, while existentially-quantified variables are replaced by Skolem functions .