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  2. Arithmetic progression - Wikipedia

    en.wikipedia.org/wiki/Arithmetic_progression

    Proof without words of the arithmetic progression formulas using a rotated copy of the blocks.. An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence.

  3. False equivalence - Wikipedia

    en.wikipedia.org/wiki/False_equivalence

    The following statements are examples of false equivalence: [3] "The Deepwater Horizon oil spill is no more harmful than when your neighbor drips some oil on the ground when changing his car's oil." The "false equivalence" is the comparison between things differing by many orders of magnitude: [ 3 ] Deepwater Horizon spilled 210 million US gal ...

  4. List of fallacies - Wikipedia

    en.wikipedia.org/wiki/List_of_fallacies

    [88] (opposite of appeal to tradition) Appeal to poverty (argumentum ad Lazarum) – supporting a conclusion because the arguer is poor (or refuting because the arguer is wealthy). (Opposite of appeal to wealth.) [89] Appeal to tradition (argumentum ad antiquitatem) – a conclusion supported solely because it has long been held to be true. [90]

  5. Explanatory power - Wikipedia

    en.wikipedia.org/wiki/Explanatory_power

    Its opposite is explanatory impotence. In the past, various criteria or measures for explanatory power have been proposed. In particular, one hypothesis, theory, or explanation can be said to have more explanatory power than another about the same subject matter [citation needed] If more facts or observations are accounted for;

  6. Counterfactual thinking - Wikipedia

    en.wikipedia.org/wiki/Counterfactual_thinking

    In these situations, we continue to use counterfactual thinking to think of ways that that event could have been avoided and in turn to learn to avoid those situations again in the future. [1] For example, if a person finds hospitals to be an uncomfortable place, but find themselves in one due to cutting their finger while doing dishes, they ...

  7. Logical reasoning - Wikipedia

    en.wikipedia.org/wiki/Logical_reasoning

    Abductive reasoning, also known as "inference to the best explanation", starts from an observation and reasons to the fact explaining this observation. An example is a doctor who examines the symptoms of their patient to make a diagnosis of the underlying cause. Analogical reasoning compares two similar systems. It observes that one of them has ...

  8. Contronym - Wikipedia

    en.wikipedia.org/wiki/Contronym

    A contronym is a word with two opposite meanings. For example, the word original can mean "authentic, traditional", or "novel, never done before". This feature is also called enantiosemy, [1] [2] enantionymy (enantio-means "opposite"), antilogy or autoantonymy. An enantiosemic term is by definition polysemic.

  9. Proof by contradiction - Wikipedia

    en.wikipedia.org/wiki/Proof_by_contradiction

    An early occurrence of proof by contradiction can be found in Euclid's Elements, Book 1, Proposition 6: [7] If in a triangle two angles equal one another, then the sides opposite the equal angles also equal one another. The proof proceeds by assuming that the opposite sides are not equal, and derives a contradiction.