The Structure of Statements: Translating If and And Statements
When it comes to the If and AND statements, the If function allows us to make logical comparisons between a value and what we expect by testing for a condition as well as returning a result if that condition is True or False. Now, on the other hand, the AND function is the most popular member of the logic functions family as to coming in handy to us when we have to test many conditions and make sure all of them are met. Basically, the AND function tests the conditions we specify and returns true if all the conditions comes back to be true and false otherwise.
Both functions are different as to the directions and learning how to use logical connections so that to process sets of sentences which are difficult to use of logical connectives. What logical connectives are is words that we use to connect two or more sentences together that lets us know how to explain a compound sentence.
Example of this is having two sentences that is joined together by the AND function. The compound sentence can only be true if both parts of it is true.
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Example: Dan and Sally arrived at the theatre around 8:30 p.m. and both was in their seats before I made it there.
In translating a normal sentence into one then the logical form used as to the If operator can be used just like the AND statement. Sentences can be changed in different orders so to the fact if you have an If and Then sentence that way the If part is kind of the hypothesis and the Then part is the conclusion with a conditional statement.
- Conditional statement (consist of two parts which are the hypothesis (the “if” clause) and conclusion (the “then” clause).
Sentence: If it snows, then they cancel work and school. The hypothesis is If it snows and the conclusion is they cancel work and school.
- To form a converse of the conditional statement, interchange the hypothesis and conclusion (www.varsitytutors.com). The converse of If it snow, then they cancel work and school is “if they cancel work and school, then it snows.
- To form an inverse of the conditional statement, take the negation of both hypothesis and conclusion (www.varsitytutors.com). The inverse of “If it snows, then they cancel work and school” is “If it does not snow, then they do not cancel work and school.”
- To form a contrapositive of the conditional statement, interchange hypothesis and conclusion (www.varsitytutors.com). The contrapositive of “if it snows, then they cancel work and school” is “If they do not cancel work and school, then it does not snow.”
- Using IF with AND, OR, and NOT functions. (2018). Retrieved June 19, 2018, from https://support.office.com/en-us/article/using-if-with-and-or-and-not-functions-d895f58c-b36c-419e-b1f2-5c193a236d97
- Syntax and symbolisation. (n.d.). Retrieved June 19, 2018, from http://www.phil.cmu.edu/projects/logicandproofs/alpha/htmltest/m02_syntax_symbolization/translated_chapter2.html
- Cheusheva, S. March 26, 2018. Using logical functions in Excel: AND, OR, XOR, and NOT. Retrieved June 19, 2018, from https://www.ablebits.com/office-addins-blog/2014/12/17/excel-and-or-xor-not-functions/#excel-and-function
- Converse, Inverse, and Contrapositive. (2007-2018). Retrieved June 19, 2018, from https://www.varsitytutors.com/hotmath/hotmath_help/topics/converse-inverse-contrapositive