How do you express neither/nor in logic?
Translating “neither… nor” into a mathematical logical expression
- ~: Negation; ∨: Disjunction; &: Conjunction.
- I have been told that a successful translation of “Neither e nor a is to the right of c” is translated as follows: ~(RightOf(e, c) ∨ RightOf(e, c))
- ~(Like(chocolate) ∨ Like(Vanilla))
What is the negation of neither nor?
When a clause with neither or nor is used after a negative clause, we invert the subject and the verb after neither and nor: He hadn’t done any homework, neither had he brought any of his books to class.
How do you represent neither A nor B?
“Neither A nor B” is “not A and not B” and is formalized with Logical NOR i.e. (¬A∧¬B) that is equivalent to ¬(A∨B). You can check with a simple truth table that ¬(A∨B) and ¬(A∧B) are not equivalent [when A is TRUE and B is FALSE, the first formula is FALSE, while the second one is TRUE].
What does ⇔ mean in math?
x ≔ y or x ≡ y means x is defined to be another name for y (but note that ≡ can also mean other things, such as congruence). P :⇔ Q means P is defined to be logically equivalent to Q. A XOR B :⇔ (A ∨ B) ∧ ¬(A ∧ B) ( )
How do you use neither/nor example?
Neither/Nor Examples
- I neither speak Spanish nor understand it.
- He likes neither apples nor oranges.
- You neither know how to sing nor how to dance.
- Sean neither drives a car, nor does he have a car.
- My new dress is neither short nor long; it is the right length.
- Our teacher speaks neither loudly nor softly.
How do you use neither/nor and either or?
Use the either-or and neither-nor pairs to refer to the one or the other of two alternatives. Either-or affirms each of two alternatives, while neither-nor simultaneously negates them. Either my mother or my father will call. Neither the pizza nor the ice-cream is here.
Why is this called sentential logic?
Recall, for Aristotle, the fundamental logical unit was the class; and since terms pick out classes, his logic is often referred to as a “term logic”. For the Stoics, the fundamental logical unit was the proposition; since sentences pick out propositions, we could call this a “sentential logic”.
How do you use neither nor in a sentence?
Neither/nor is used when the choice is negative or the person wants to say that more than one thing is not true. You may either go to the library or a book store to get a copy of the required reading materials.
What is a good sentence for Neither James nor Peter?
9. Neither James nor Peter passed the test. 10. Neither Mike nor his brother plays cricket. When two singular subjects are connected by neither…nor, the verb is usually singular.
When two subjects are connected by neither nor?
When two singular subjects are connected by neither…nor, the verb is usually singular.
Is it possible to replace the English expression with logical notation?
This preserves the structure of the argument that makes it valid, but it still makes use of the English expression ‘If. . . then. . . .’ Although we ultimately want to replace all of the English expressions with logical notation, this is a good start.