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Longer titles found: Material implication (rule of inference) (view), Paradoxes of material implication (view)

searching for Material implication 34 found (104 total)

Material nonimplication (337 words) [view diff] exact match in snippet view article find links to article

used in generic circuits and Boolean algebra. It is the negation of material implication. That is to say that for any two propositions P {\displaystyle P}

If and only if (1,900 words) [view diff] exact match in snippet view article find links to article

Q, P is equivalent (or materially equivalent) to Q (compare with material implication), P precisely if Q, P precisely (or exactly) when Q, P exactly in

List of philosophical problems (6,671 words) [view diff] exact match in snippet view article find links to article

rather clear idea of what if-then means. In formal logic however, material implication defines if-then, which is not consistent with the common understanding

Implication graph (270 words) [view diff] exact match in snippet view article find links to article

and each directed edge from vertex u to vertex v represents the material implication "If the literal u is true then the literal v is also true". Implication

Conditional quantifier (248 words) [view diff] exact match in snippet view article find links to article

arbitrary formulas in one free variable): (The implication arrow denotes material implication in the metalanguage.) The minimal conditional logic M is characterized

Inclusion (Boolean algebra) (210 words) [view diff] exact match in snippet view article

arithmetic Boolean algebra, divisibility; in the algebra of propositions, material implication; in the two-element algebra, the set { (0,0), (0,1), (1,1) }. Some

Three-valued logic (3,292 words) [view diff] exact match in snippet view article find links to article

AND C... = MIN(A, B, C ...) and A OR B OR C ... = MAX(A, B, C...). Material implication for Kleene logic can be defined as: A → B = d e f OR ( NOT

IMPLY gate (185 words) [view diff] exact match in snippet view article find links to article

logic symbol right-facing arrow (→). Logically, it is equivalent to material implication, and the logical expression ¬A v B. There are two symbols for IMPLY

Categorical proposition (2,492 words) [view diff] exact match in snippet view article find links to article

logic where a material implication statement P → Q {\displaystyle P\rightarrow Q} is converted (conversion) to another material implication statement Q

Contraposition (6,175 words) [view diff] exact match in snippet view article find links to article

contrapositives are logically equivalent, we need to understand when material implication is true or false. P → Q {\displaystyle P\to Q} This is only false

List of logic symbols (256 words) [view diff] exact match in snippet view article find links to article

\rightarrow ⊃ {\displaystyle \supset } \supset material conditional (material implication) implies, if P then Q, it is not the case that P and not Q propositional logic

Relevance (1,725 words) [view diff] exact match in snippet view article find links to article

is implied by p breaks down because under standard definitions of material implication, a false proposition implies all other propositions. However though

Sum of Logic (736 words) [view diff] exact match in snippet view article find links to article

'formal' consequences, which are roughly equivalent to the modern material implication and logical implication respectively. Similar accounts are given

Begriffsschrift (1,572 words) [view diff] exact match in snippet view article find links to article

28, 31, 41, 52, 54, and 58 in the Begriffschrifft. (1)–(3) govern material implication, (4)–(6) negation, (7) and (8) identity, and (9) the universal quantifier

Peirce's law (1,425 words) [view diff] exact match in snippet view article find links to article

logic where truth values are real numbers between 0 and 1, with material implication defined by: u → G v = { 1 , if u ≤ v v , if u > v {\displaystyle

Eby Friedman (2,206 words) [view diff] case mismatch in snippet view article find links to article

E. G. Friedman, A. Kolodny, and U. C. Weiser, "Memristor-Based Material Implication (IMPLY) Logic: Design Principles and Methodologies," IEEE Transactions

Outline of logic (2,119 words) [view diff] exact match in snippet view article find links to article

NOR Logical biconditional Logical conjunction Logical disjunction Material implication Material nonimplication Negation Sheffer stroke Atomic formula Open

Errett Bishop (1,639 words) [view diff] no match in snippet view article find links to article

come to him after the lecture, to argue against his definition of (material) implication and in favour of the notion that the truth of the antecedent in

James F. Thomson (philosopher) (657 words) [view diff] exact match in snippet view article

(ed Pears, D.F.) New York: St. Martin's Press, 1963 In defense of material implication. Journal of Philosophy, 1966 Truth-bearers and the Trouble about

Identity of indiscernibles (2,356 words) [view diff] exact match in snippet view article find links to article

biconditional operator ( ↔ {\displaystyle \leftrightarrow } ) in place of material implication ( → {\displaystyle \rightarrow } ).[citation needed] Indiscernibility

Rule of inference (7,293 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \to } in this formula means if ... then ..., expressing material implication. Logical operators or constants are expressions used to form and

Randolph diagram (890 words) [view diff] exact match in snippet view article find links to article

Negation (not) ¬ , ~ Conjunction (and) & , ∧ Disjunction (or) ∨ Material implication (if...then) → {\displaystyle \rightarrow } , ⇒ {\displaystyle \Rightarrow

Residuated Boolean algebra (1,155 words) [view diff] exact match in snippet view article find links to article

multiplication • taken to be conjunction and both residuals taken to be material implication x→y. Of the remaining 15 binary Boolean operations that might be

Glossary of mathematical symbols (9,929 words) [view diff] exact match in snippet view article find links to article

morphism from A to B. 3. May denote a logical implication. For the material implication that is widely used in mathematics reasoning, it is nowadays generally

Counterfactual conditional (5,764 words) [view diff] exact match in snippet view article find links to article

expresses necessity and → {\displaystyle \rightarrow } is understood as material implication. This approach was first proposed in 1912 by C.I. Lewis as part of

Boolean algebra (9,572 words) [view diff] exact match in snippet view article find links to article

Material conditional The first operation, x → y, or Cxy, is called material implication. If x is true, then the result of expression x → y is taken to be

Gödel's ontological proof (4,409 words) [view diff] exact match in snippet view article find links to article

first-order predicates) ⇒ {\displaystyle \Rightarrow } : "implies" (material implication) ∀ x {\displaystyle \forall x} : "For every x {\displaystyle x} "

Natural deduction (7,284 words) [view diff] exact match in snippet view article find links to article

combination, which in turn is of lower precedence than the arrow, used for material implication; so no parentheses are needed to interpret this formula.) Syntactic

Józef Maria Bocheński (3,619 words) [view diff] exact match in snippet view article find links to article

Mpq (F T F F)(p,q) Converse nonimplication Material conditional (Material implication) (T T F T)(p,q) Cpq Lpq (F F T F)(p,q) Material nonimplication Logical

History of logic (13,249 words) [view diff] exact match in snippet view article find links to article

'formal' consequences, which are roughly equivalent to the modern material implication and logical implication respectively. Similar accounts are given

Memristor (13,731 words) [view diff] exact match in snippet view article find links to article

Chattopadhyay, A.; Rakosi, Z. (2011). "Combinational logic synthesis for material implication". 2011 IEEE/IFIP 19th International Conference on VLSI and System-on-Chip

Bunched logic (2,856 words) [view diff] exact match in snippet view article find links to article

rejected by relevantists in their bid to escape the `paradoxes of material implication', which are not a problem from the perspective of modelling resources

Propositional formula (11,131 words) [view diff] exact match in snippet view article find links to article

→ of formal implication in the propositional calculus is called material implication to distinguish it from the everyday, intuitive implication. The use

Law of thought (11,576 words) [view diff] exact match in snippet view article find links to article

1912, 1997 edition page ix The "simple" type of implication, aka material implication, is the logical connective commonly symbolized by → or ⊃, e.g. p