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  2. Proportional reasoning - Wikipedia

    en.wikipedia.org/wiki/Proportional_reasoning

    In Piaget's model of intellectual development, the fourth and final stage is the formal operational stage.In the classic book "The Growth of Logical Thinking from Childhood to Adolescence" by Jean Piaget and Bärbel Inhelder formal operational reasoning takes many forms, including propositional reasoning, deductive logic, separation and control of variables, combinatorial reasoning, and ...

  3. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    [2] [3] Historically, the concept of a proof and its associated mathematical rigour first appeared in Greek mathematics , most notably in Euclid 's Elements . [ 4 ] Since its beginning, mathematics was primarily divided into geometry and arithmetic (the manipulation of natural numbers and fractions ), until the 16th and 17th centuries, when ...

  4. Planning fallacy - Wikipedia

    en.wikipedia.org/wiki/Planning_fallacy

    The planning fallacy is a phenomenon in which predictions about how much time will be needed to complete a future task display an optimism bias and underestimate the time needed. This phenomenon sometimes occurs regardless of the individual's knowledge that past tasks of a similar nature have taken longer to complete than generally planned.

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  6. NFL bold predictions: Which players and teams will surprise ...

    www.aol.com/nfl-bold-predictions-players-team...

    Here are USA TODAY Sports' bold predictions for Week 2 in the NFL: Caleb Williams will have to wait until Week 3 to find the end zone. Chicago Bears quarterback Caleb Williams (18) drops back to ...

  7. Pythagorean expectation - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_expectation

    Initially the correlation between the formula and actual winning percentage was simply an experimental observation. In 2003, Hein Hundal provided an inexact derivation of the formula and showed that the Pythagorean exponent was approximately 2/(σ √ π) where σ was the standard deviation of runs scored by all teams divided by the average number of runs scored. [8]

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