Discussion Materials UTS Mathematics Informatics 1 Gunadarma University

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Saturday, December 19, 2015

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Discussion Materials UTS Mathematics Informatics 1(UG) - Before we get into mathematical logic, we should know first definition of logic, which later was instrumental in understanding mathematical logic itself. The logic is derived from the ancient Greek word λόγος (logos) which means that the results of reasoning mind expressed through words and expressed in language. Logic has several benefits, namely:

•     Help everyone who studies logic to think rationally, critically, straight, fixed, orderly, methodical and coherent.
•     Improve the ability to think abstractly, accurately, and objectively.
•     Increase intelligence and enhance thinking skills sharp and independent.
•     Forcing and encourage people to think for themselves by using the principles of systematic
•     Increase the love for the truth and avoid mistakes berpkir, error, and error.
•     Able to perform analysis of an event.
•     Avoid the occult, gugon-tuhon (Javanese)
•     When they are able to think rationally, critically, straight, methodically and analytically as mentioned in the first point it will increase a person's self-image.

1. Assemblage(Himpunan)
The set is a collection or collection of objects clearly defined in any order (not considered keberurutan object - the object of its members). Object - the object is called a member or element of the set.
more: Download Himpunan Language Bahasa Indonesia Via Google Drive

2. The relation(Relasi) between the two sets, the example set A to set B is a rule that pairs members of set A with members of set B.
more: Download Relasi Language Bahasa Indonesia Via Google Drive

3.Or mapping function(Fungsi) is a specific relationship or relationship that pairs each member of a set with exactly one other member of the set.
more: Download Fungsi Language Bahasa Indonesia Via Google Drive

4.Calculus of propositions, is essentially a method of computation using proposition or use sentences. Here, the sentence is a declarative sentence. In the declarative sentences that we can give the truth value that is either "true" or "false". Such a sentence is usually called a statement. An example of a statement, we can take the sentence "The cat is a quadruped", or "The sun rises in the east" and so forth.

In the calculus of this proposition, we also emphasize the discussion on how to combine the statement, thus forming a more complex statement. Combining statement will produce a compound statement. Kebeneran value of a compound statement depends on the truth value of statements which, combined, and depends also on combining their operations.

We will work with the statement in the abstract. We will separate a statement as p. In this case we do not really care what the content of p, the more important is at a certain moment, the p-value of truth to true or false. So p can be viewed as a variable that can be filled with a sentence is true or false.

The first problem we face Adalaj how to define a logical link between the two statements that can be used to form more complex statements. Let p and q successive statements simple reads "green grass", and "rainy day", we want to have a symbol to express statements like "p is not true", or "if p then q", "p and q" and so on in this case we also want to be able to give the truth value for a combination of the p and q. Surely the truth is scoring in a manner consistent with the usual usage. an expression that we define, called a proposition.

more: Download Proposisi Language Bahasa Indonesia Via Google Drive

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