Search results
Results from the WOW.Com Content Network
In classical logic, disjunctive syllogism [1] [2] (historically known as modus tollendo ponens (MTP), [3] Latin for "mode that affirms by denying") [4] is a valid argument form which is a syllogism having a disjunctive statement for one of its premises.
Than is a grammatical particle analyzed as both a conjunction and a preposition in the English language. It introduces a comparison and is associated with comparatives and with words such as more , less , and fewer .
Modus tollens is a mixed hypothetical syllogism that takes the form of "If P, then Q. Not Q. Therefore, not P." It is an application of the general truth that if a statement is true, then so is its contrapositive. The form shows that inference from P implies Q to the negation of Q implies the negation of P is a valid argument.
However, some prescriptivists prescribe the rule addition that less should be used with units of measurement (e.g. "less than 10 pounds/dollars"). Prescriptivists might, however, consider "fewer cups of coffee" to be correct in a sentence such as "there are fewer cups of coffee on the table now", where the cups are countable separate objects.
The column-11 operator (IF/THEN), shows Modus ponens rule: when p→q=T and p=T only one line of the truth table (the first) satisfies these two conditions. On this line, q is also true. Therefore, whenever p → q is true and p is true, q must also be true.
Roe vs. more than Roe: On the landmark decision’s anniversary, a look at abortion rights and limits ... “But somehow it’s acceptable with abortion, and then doubly acceptable when it comes ...
The material conditional (also known as material implication) is an operation commonly used in logic.When the conditional symbol is interpreted as material implication, a formula is true unless is true and is false.
The rule states that P implies Q is logically equivalent to not-or and that either form can replace the other in logical proofs. In other words, if P {\displaystyle P} is true, then Q {\displaystyle Q} must also be true, while if Q {\displaystyle Q} is not true, then P {\displaystyle P} cannot be true either; additionally, when P {\displaystyle ...