Negate formula in QUOX smoothly

Aug 6th, 2022
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How to Negate formula in QUOX

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all right in this video were going to translate some sentences into quantificational logic and then were going to negate some quantificational logic statements and reduce them as far as we can okay so first question were going to translate these so our first question is every student is majoring in math or computer science so Im not going to define anything explicitly but I just want to show you the process here so first we have every student so we have for all X if X is a student so recall that s of X then that student is going to major in math or major in computer science so this means that if X is a student then X majors in math or X majors in computer science so here we have it for all X s of X arrow MX for C X for all X if X is a student that X is a math major or X is a computer science major ok second question for all real x and y if X or sorry X is greater than Y if x squared is greater than Y squared so for all real x and y so this is for all X in the real numbers for all Y

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5:43 9:02 So for example we have statements P. And Q we can negate. This these statements using this symbolMoreSo for example we have statements P. And Q we can negate. This these statements using this symbol and this symbol that youre seeing right now is the negation symbol that we use in set logic.
The symbols used to represent the negation of a statement are ~ or . For example, the given sentence is Arjuns dog has a black tail. Then, the negation of the given statement is Arjuns dog does not have a black tail. Thus, if the given statement is true, then the negation of the given statement is false.
To negate a statement of the form If A, then B we should replace it with the statement A and Not B.
The negation of p or q is not p and not q.
The negation for pq is pq.
To negate complex statements that involve logical docHubs like or, and, or if-then, you should start by constructing a truth table and noting that negation completely switches the truth value. The negation of a conditional statement is only true when the original if-then statement is false.
In grammar, negation is when certain words or entire sentences are nullified or shown to be untrue by adding a special type of word called a negative. The most common example is the negative adverb not, used with auxiliary verbs like do or be to negate the original meaning of a sentence.
In general, when negating a statement involving for all, for every, the phrase for all gets replaced with there exists. Similarly, when negating a statement involving there exists, the phrase there exists gets replaced with for every or for all.

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