Introduction to deductive reasoning geometry:
Deductive reasoning, also called Deductive logic, is reasoning which constructs or evaluates deductive arguments. Deductive arguments are attempts to show that a conclusion necessarily follows from a set of premises. A deductive argument is valid if the conclusion does follow necessarily from the premises, i.e., if the conclusion must be true provided that the premises are true. A deductive argument is sound if its premises are true. Deductive arguments are valid or invalid, sound or unsound, but are never true or false.
An example of a deductive argument:
All men are mortal
Socrates is a man
Therefore, Socrates is mortal (source: wiki pedia)
Deductive Reasoning geometry:
Conditional: conditional is used to represents two parts, they are condition and the conclusion parts. There are two important key words are used to define the conditional they are ” if statement 1 and then statement 2″.
Converse: When the condition changes to conclusion then it said to be converse and it’s a logical statement.
AND: If both the statements are true then the logical operator AND are true or else the statement is false
OR: when the two statements are having with the word OR and it should help to join those statements then this statements is true. Here OR is the logical operator.
Inverse: The inverse of a conditional says that the negation of the condition implies the negation of the conclusion. (wiki).
For example, consider the following chain of if-then statements.
If today is Thursday, then the cafeteria will be serving burritos.
If the cafeteria will be serving burritos, then I will be happy.
Therefore, if today is Thursday, then I will be happy.
Examples of Deductive Reasoning geometry:
here some example for deductive reasoning’s geometry that will help you understand this concept better:
All oranges are fruits
All fruits grow on trees
Therefore, all oranges grow on trees
All bachelor’s are single
Johnny is single,
Hence, Johnny is a bachelor
in some situations, deductive reasoning will be extended even without the help of syllogisms.
For example:
Everyday I go to work. This journey from my house to my office takes one hour. My office starts at eight o’ clock in the morning. So, if I leave my house at seven o’ clock in the morning, I will reach office in time.
There are also some chances of deductive reasoning examples that go from specific to general. These are rare and usually have a lot of premises, each of which follow up on the previous one. Given below is one such example:
The members of Hassling family are Betty, Aaron and Lucas.
Betty is thin
Aaron is thin
Lucas is thin
Therefore, all members of the Hassling family are thin
Reasoning
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Reasoning
Reasoning