Conditional Connectives
The statement `if p then q' is called a conditional statement and is written logically as p ! q.
(This asserts that the truth of p guarantees the truth of q.)
p ! q can also be read as `p implies q', where p is sometimes called the antecedent and qthe
consequent.
Examples:
p: It is raining.
q: I get wet.
p ! q: If it is raining, then I get wet.
s: It is Sunday.
w: I have to work today.
s ! w: If it is Sunday, then I have to work today.
»s ! w: If it is not Sunday, then I have to work today.
s !»w: If it is Sunday, I do not have to work today.
(s ^ p) !»w: If it is Sunday and it's raining, then I don't have to work today.
To examine the truth or falsity of p ! q, suppose p and q are the following propositions
p: I win the lottery,
q: I will buy you a car.
Then p ! q is the statement `If I win the lottery, then I will buy you a car'.
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Modus Ponens can be written in the following way symbolically:p --> qpTherefore qWhere the lowercase letters can be any statement, "-->" represents an arrow for a conditional statement, and use three dots arranged in a triangle to represent "therefore."
Because equations are part of Science to explain the diversity of it. Example: H2o and other formulas....
When form example showing the difference in each year of the increase of carbon dioxide. Does that answer your question or do i have to explain further??
If the events are independent then you can multiply the individual probabilities. But if they are not, you have to use conditional probabilities.
You can use the mean to answer some statistical questions: it is a measure of the central tendency of a set of data. However, it is no good in identifying the maximum value of a set of data, for example.