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Conditional proof information


A conditional proof is a proof that takes the form of asserting a conditional, and proving that the antecedent of the conditional necessarily leads to the consequent.

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Conditional proof

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A conditional proof is a proof that takes the form of asserting a conditional, and proving that the antecedent of the conditional necessarily leads to...

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Conditional

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cause of Y Conditional probability, the probability of an event A given that another event B has occurred Conditional proof, in logic: a proof that asserts...

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Material conditional

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also be characterized inferentially by modus ponens, modus tollens, conditional proof, and classical reductio ad absurdum.[citation needed] Material implication...

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Hypothetical syllogism

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hypothetical syllogism is a valid argument form, a deductive syllogism with a conditional statement for one or both of its premises. Ancient references point to...

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Proof of space

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of proof of capacity was Signum (formerly burstcoin). The Proof of Capacity (PoC) consensus algorithm is used in some cryptocurrencies. Conditional Proof...

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Contraposition

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of going from a conditional statement into its logically equivalent contrapositive, and an associated proof method known as § Proof by contrapositive...

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Conditional independence

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In probability theory, conditional independence describes situations wherein an observation is irrelevant or redundant when evaluating the certainty of...

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Conjecture

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proof, some have even proceeded to develop further proofs which are contingent on the truth of this conjecture. These are called conditional proofs:...

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Propositional calculus

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accompanying modus ponens. In this sense, DT corresponds to the natural conditional proof inference rule which is part of the first version of propositional...

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Destructive dilemma

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The validity of this argument structure can be shown by using both conditional proof (CP) and reductio ad absurdum (RAA) in the following way: Hurley,...

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Conditional expectation

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In probability theory, the conditional expectation, conditional expected value, or conditional mean of a random variable is its expected value evaluated...

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Deduction theorem

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logic, a deduction theorem is a metatheorem that justifies doing conditional proofs from a hypothesis in systems that do not explicitly axiomatize that...

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Method of conditional probabilities

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science, the method of conditional probabilities is a systematic method for converting non-constructive probabilistic existence proofs into efficient deterministic...

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Mertens function

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this conjecture is given by Nathan Ng. In particular, Ng gives a conditional proof that the function e − y / 2 M ( e y ) {\displaystyle e^{-y/2}M(e^{y})}...

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Abc conjecture

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conjecture has been stated) and conjectures for which it gives a conditional proof. The consequences include: Roth's theorem on Diophantine approximation...

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Regular conditional probability

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regular conditional probability is a concept that formalizes the notion of conditioning on the outcome of a random variable. The resulting conditional probability...

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Conditional entropy

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In information theory, the conditional entropy quantifies the amount of information needed to describe the outcome of a random variable Y {\displaystyle...

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Direct proof

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without making any further assumptions. In order to directly prove a conditional statement of the form "If p, then q", it suffices to consider the situations...

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Reason maintenance

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two types of justification for a node. They are: Support list [SL] Conditional proof (CP) Many kinds of truth maintenance systems exist. Two major types...

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Christian conditionalism

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Christian theology, conditionalism or conditional immortality is a concept in which the gift of immortality is attached to (conditional upon) belief in Jesus...

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Negation

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and elimination are just special cases of implication introduction (conditional proof) and elimination (modus ponens). In this case one must also add as...

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Outline of logic

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the antecedent Theorem Axiom Axiomatic system Axiomatization Conditional proof Invalid proof Degree of truth Truth Truth condition Truth function Double...

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Index of logic articles

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Conceptualism -- Condensed detachment -- Conditional disjunction -- Conditional probability -- Conditional proof -- Conditional quantifier -- Confirmation bias...

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Mathematical fallacy

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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...

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Modus tollens

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premise is a conditional ("if-then") claim, such as P implies Q. The second premise is an assertion that Q, the consequent of the conditional claim, is not...

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Natural deduction

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In logic and proof theory, natural deduction is a kind of proof calculus in which logical reasoning is expressed by inference rules closely related to...

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