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  2. Necessity and sufficiency - Wikipedia

    en.wikipedia.org/wiki/Necessity_and_sufficiency

    The assertion that Q is necessary for P is colloquially equivalent to "P cannot be true unless Q is true" or "if Q is false, then P is false". [9] [1] By contraposition, this is the same thing as "whenever P is true, so is Q". The logical relation between P and Q is expressed as "if P, then Q" and denoted "P ⇒ Q" (P implies Q).

  3. Logical truth - Wikipedia

    en.wikipedia.org/wiki/Logical_truth

    Thus, logical truths such as "if p, then p" can be considered tautologies. Logical truths are thought to be the simplest case of statements which are analytically true (or in other words, true by definition). All of philosophical logic can be thought of as providing accounts of the nature of logical truth, as well as logical consequence. [1]

  4. Pi - Wikipedia

    en.wikipedia.org/wiki/Pi

    The number π (/ p aɪ /; spelled out as "pi") is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.The number π appears in many formulae across mathematics and physics.

  5. Material implication (rule of inference) - Wikipedia

    en.wikipedia.org/wiki/Material_implication_(rule...

    Then if is true, that rules out the first disjunct, so we have . In short, P → Q {\displaystyle P\to Q} . [ 3 ] However, if P {\displaystyle P} is false, then this entailment fails, because the first disjunct ¬ P {\displaystyle \neg P} is true, which puts no constraint on the second disjunct Q {\displaystyle Q} .

  6. Propositional formula - Wikipedia

    en.wikipedia.org/wiki/Propositional_formula

    Thus there is a relationship W (wingedness) between p (pig) and { T, F }, W(p) evaluates to { T, F } where { T, F } is the set of the Boolean values "true" and "false". Likewise for B (blueness) and p (pig) and { T, F }: B(p) evaluates to { T, F }. So one now can analyze the connected assertions "B(p) AND W(p)" for its overall truth-value, i.e ...

  7. Grimes Says She Didn't See One of Her Kids for 5 Months ... - AOL

    www.aol.com/lifestyle/grimes-says-she-didnt-see...

    The former couple is parents to sons X Æ A-Xii, 4, and Techno Mechanicus, 2, as well as daughter Exa Dark Sideræl, 3

  8. ESPN Reporter Reveals He Once Broke NFL News Right After ...

    www.aol.com/espn-reporter-reveals-once-broke...

    NFL insider Adam Schefter says he "got the job done" after the act

  9. What to watch: College football championship weekend viewing ...

    www.aol.com/watch-college-football-championship...

    A Clemson win could mean two berths for the conference, but only if the playoff committee keeps an 11-2 SMU team ahead of a 9-3 Alabama team that jumped Miami (10-2) on Tuesday in the next-to-last ...