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In the absence of sufficient evidence, drawing conclusions based on induction is unwarranted and fallacious. With the backing of sufficient amounts of the right type of empirical evidence , however, the conclusions may become warranted and convincing (at which point the arguments are no longer considered fallacious).
A member of a pair of opposites can generally be determined by the question What is the opposite of X ? The term antonym (and the related antonymy) is commonly taken to be synonymous with opposite, but antonym also has other more restricted meanings. Graded (or gradable) antonyms are word pairs whose meanings are opposite and which lie on a ...
The opposite, slothful induction, is the fallacy of denying the logical conclusion of an inductive argument, dismissing an effect as "just a coincidence" when it is very likely not. The overwhelming exception is related to the hasty generalization but works from the other end. It is a generalization that is accurate, but tags on a qualification ...
Are You Smarter Than a 5th Grader?: Where in the World Is That?! What is the capital of Australia? Answer: Canberra. Which U.S. state has the most islands?
On the other hand, the strength of the evidence necessary to establish a fact or facts on the balance of probabilities may vary according to the nature of what it is sought to prove. Thus, authoritative statements have often been made to the effect that clear or cogent or strict proof is necessary ‘where so serious a matter as fraud is to be ...
Chris Paul has a new place in the NBA record book. With a pass to Harrison Barnes Sunday night, the San Antonio Spurs point guard tied Jason Kidd for second-place all-time on the NBA's assist list.
Rep. Nancy Mace unveiled legislation Thursday aimed at protecting women and children from registered sex offenders in emergency shelters during the fallout from natural disasters.
The use of this fact forms the basis of a proof technique called proof by contradiction, which mathematicians use extensively to establish the validity of a wide range of theorems. This applies only in a logic where the law of excluded middle A ∨ ¬ A {\displaystyle A\vee \neg A} is accepted as an axiom.
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