12.	+Deductive+Reasoning

= **WELCOME TO DEDUCTIVE REASONING!** = = = __Deductive Reasoning__  uses facts, definitions, and accepted properties in a //logical orde // r to write a logical argument. This differs from inductive reasoning, in which previous examples and patterns are used to form a conjecture. There are two laws of deductive reasoning: **The Law of Syllogism:** if p --> q and q --> r are true conditional statements, then p --> r is true.
 * The Law of Detachment: ** if p --> q is a true conditional statement and // p //  is true, then // q // is true.

__Detachment__ - Jenna knows that if she misses school the day before a test, she will not have to take the test. Jenna missed school on Thursday, so she concluded that she does not need to take her History test on Friday. __Syllogism__ - If a bird is the fastest bird on land, then it is the largest of all bird. If a bird is the largest of all birds, then it is an ostrich. (Solution) If a bird is the fastest bird on land, then it is an ostrich.  Example Problems:  <span style="color: #e11919; font-family: 'Trebuchet MS',Helvetica,sans-serif;"> Solutions
 * 1) <span style="color: #e11919; font-family: 'Trebuchet MS',Helvetica,sans-serif;">If the brown recluse spider is an arachnid, then it is venomous to human beings. If an animal is venomous to human beings, then its venom needs to be cured with an antidote.
 * 2) <span style="color: #e11919; font-family: 'Trebuchet MS',Helvetica,sans-serif;">If Tyler is late, then he will miss the test. If Tyler misses the test, then he needs to make it up.
 * 3) <span style="color: #e11919; font-family: 'Trebuchet MS',Helvetica,sans-serif;">If Parker runs the 100m race in a record time, he will go to states. Parker ran the 100m race in record time.
 * 1) <span style="color: #e11919; font-family: 'Trebuchet MS',Helvetica,sans-serif;">The brown recluse spider's venom needs to be cured with an antidote. (Syllogism)
 * 2) <span style="color: #e11919; font-family: 'Trebuchet MS',Helvetica,sans-serif;">If Tyler is late, then he will need to make up the test. (Syllogism)
 * 3) <span style="color: #e11919; font-family: 'Trebuchet MS',Helvetica,sans-serif;">Parker will go to states. (Detachment)

Links: Understanding What Deductive Reasoning Is Deductive Reasoning Lesson [|Deductive Reasoning VS Inductive Reasoning]