Conclusion of a valid deductive argument (which apply to specific public statement), is the conclusion / conclusion that is guaranteed. With the given premise is true, correct conclusions can be obtained. However, there is an argument that is not guaranteed given the truth even if the premise is true. Consider the following examples:
1. Dika sneeze while playing with the cat's Anton
2. Dika sneeze while playing with the cat's Tono
-------------------------------------------------- --------------------------------
So, Dika is a child who is allergic to cats
Does the conclusion is irrefutable? If the premises are true, they did support the conclusions drawn. But we can not say 100% that Dika cat allergy. Conclusion The conclusion is not indisputable. It may Dika cat allergies, but may also Dika dust allergies in cats, can also Dika is being flu.
Such reasoning is called inductive reasoning. Inductive reasoning is obtained based on some specific cases that result in general conclusions. Although sometimes we find a conclusion that is true, the conclusion of inductive reasoning was never guaranteed (not an irrefutable conclusion.) Another example of inductive reasoning is as follows:
EXAMPLE
Numbers below what after row 1, 8, 15, 22, 29, .... ?
COMPLETION
Note that we obtain a linear pattern, the pattern of arithmetic that the difference between two adjacent numbers is 7. We may respond with the next value is 36. Is our conclusion is assured? No, in a matter of no information that the sequence given an arithmetic sequence. Take for example, could have those figures are on penganggalan Monday in January AD 2001. Which means the next number is 5 (the following month.) Without more complete information, the results we get do not get guarantees from our logic, we only apply inductive reasoning, or give more than one possible solution to the problem above.
Showing posts with label reasoning. Show all posts
Showing posts with label reasoning. Show all posts
Friday, May 6, 2011
Thursday, May 5, 2011
Deductive Reasoning
When the problem has been defined and in the analysis. We may be able to provide certain categories of these problems, this may provide knowledge about general solutions that can be used. In short, when asked for solutions to the equation
, we know that this is an equation order of two (often called a quadratic equation). We can change it in the form of standard.

and using abc formula to solve
EXAMPLE 1
Solve equations
given equation is a quadratic equation with one variable. We know that all quadratic equations with one variable (
) can be solved using abc formula.

can be solved using the formula square:





In Example 1 we apply the general rule in specific cases. We reasoned general rule quadratic equation is valid when used on a particular or any quadratic equation. Such a type of logic called Deductive Logic, which means applying a general statement in a more specific statement.
Deductive logic and formal structure of logic has been studied for many years, thousands of years. One of the scientists of ancient logic, and the most famous, was Aristotle (384-322 BC). He was a pupil of the famous philosopher Plato and a teacher of Alexander the Great, explorers from the mainland Greece to India. Aristotle's philosophy is very influential, its influence reaches the Catholic Church brought by St. Thomas Aquinas, even affecting modern philosophy. Over the centuries - old, Aristotle developed logic becomes part of lawyers and political studies and is used to distinguish a valid argument and what does not.
For Aristotle, logic is a necessary tool in any investigation / research, and the syllogism is the result of all the fruit of thought. Syllogism is an argument which is formed by two statements, called premises (major premise and minor premise), followed by a conclusion or conclusions. For all the premises are given, if the conclusion of the argument guaranteed (in the sense not find a disclaimer in any manner whatsoever), the argument is valid. If the conclusion is not guaranteed (in the sense at least there is a rebuttal that does not justify the conclusion), the argument is invalid.
One popular Aristotle's syllogism is as follows:
1. All men die
2. Socrates is a man
----------------------------------------------
So, Socrates died
Major premise is applied to the minor premise led to an indisputable conclusion, then the argument is valid. Note that the deductive logic that is used in example 1 has a structure similar to Aristotle's syllogism about Socrates.
1. All second order equation in one variable can be solved by the formula abc.
2.
is the second order equation in one variable.
--------------------------------------------------------------------------------- ------------------------
can be solved using the formula abc.
All syllogism in general can be written in:
1. If A, then B
2. X is A
-----------------------------
Then, X is B
Deductive logic is the perfect application to use Venn diagrams. Valid and invalid often misinterpreted by right and not right. Consider the following example.
1. All doctor is male
2. My mother was a doctor
--------------------------------------
So, my mother male
The argument above is a valid argument. However, a valid argument does not show the right conclusions. A mother is not likely to be men! Validity and truth do not have the same understanding. Valid argument to say when the resulting conclusions based on the indisputable premise that given. Here is not said about the truth of a given premise. Therefore, in determining the validity of the argument, we do not currently determine whether the verdict was correct or not. Valid argument to say if the premise is given, obtained logical conclusion. It is true, if the premise that given a valid argument is true, the conclusion is obtained also true.
Consider the following examples.
1. All artists are political activists
2. Tantowi Yahya is a political activist
----------------------------------------------- -----------------
So, Tantowi Yahya is an artist
Glance these conclusions appear valid. This is because we all know that Tantowi Yahya is an artist. However, if we perform the analysis, the conclusion is not logically derived. The first premise suggests that there are some political activists are an artist, which means there are some others who are not artists. The second premise is a specific statement that Tantowi John was a political activist. Tantowi could have been an artist, but could not (apart from general knowledge) based on the premise. So the logical conclusion is not obtained, because of possible artists Tantowi not cause this argument is invalid. However, the argument is said to be invalid does not mean to say that the verdict was wrong, as proof, We all know that Tantowi Yahya is an artist. So the conclusion in the argument above statement is true, however, based on the premise, the argument is not a valid argument.
and using abc formula to solve
EXAMPLE 1
Solve equations
given equation is a quadratic equation with one variable. We know that all quadratic equations with one variable (
In Example 1 we apply the general rule in specific cases. We reasoned general rule quadratic equation is valid when used on a particular or any quadratic equation. Such a type of logic called Deductive Logic, which means applying a general statement in a more specific statement.
Deductive logic and formal structure of logic has been studied for many years, thousands of years. One of the scientists of ancient logic, and the most famous, was Aristotle (384-322 BC). He was a pupil of the famous philosopher Plato and a teacher of Alexander the Great, explorers from the mainland Greece to India. Aristotle's philosophy is very influential, its influence reaches the Catholic Church brought by St. Thomas Aquinas, even affecting modern philosophy. Over the centuries - old, Aristotle developed logic becomes part of lawyers and political studies and is used to distinguish a valid argument and what does not.
For Aristotle, logic is a necessary tool in any investigation / research, and the syllogism is the result of all the fruit of thought. Syllogism is an argument which is formed by two statements, called premises (major premise and minor premise), followed by a conclusion or conclusions. For all the premises are given, if the conclusion of the argument guaranteed (in the sense not find a disclaimer in any manner whatsoever), the argument is valid. If the conclusion is not guaranteed (in the sense at least there is a rebuttal that does not justify the conclusion), the argument is invalid.
One popular Aristotle's syllogism is as follows:
1. All men die
2. Socrates is a man
----------------------------------------------
So, Socrates died
Major premise is applied to the minor premise led to an indisputable conclusion, then the argument is valid. Note that the deductive logic that is used in example 1 has a structure similar to Aristotle's syllogism about Socrates.
1. All second order equation in one variable can be solved by the formula abc.
2.
--------------------------------------------------------------------------------- ------------------------
All syllogism in general can be written in:
1. If A, then B
2. X is A
-----------------------------
Then, X is B
Deductive logic is the perfect application to use Venn diagrams. Valid and invalid often misinterpreted by right and not right. Consider the following example.
1. All doctor is male
2. My mother was a doctor
--------------------------------------
So, my mother male
The argument above is a valid argument. However, a valid argument does not show the right conclusions. A mother is not likely to be men! Validity and truth do not have the same understanding. Valid argument to say when the resulting conclusions based on the indisputable premise that given. Here is not said about the truth of a given premise. Therefore, in determining the validity of the argument, we do not currently determine whether the verdict was correct or not. Valid argument to say if the premise is given, obtained logical conclusion. It is true, if the premise that given a valid argument is true, the conclusion is obtained also true.
Consider the following examples.
1. All artists are political activists
2. Tantowi Yahya is a political activist
----------------------------------------------- -----------------
So, Tantowi Yahya is an artist
Glance these conclusions appear valid. This is because we all know that Tantowi Yahya is an artist. However, if we perform the analysis, the conclusion is not logically derived. The first premise suggests that there are some political activists are an artist, which means there are some others who are not artists. The second premise is a specific statement that Tantowi John was a political activist. Tantowi could have been an artist, but could not (apart from general knowledge) based on the premise. So the logical conclusion is not obtained, because of possible artists Tantowi not cause this argument is invalid. However, the argument is said to be invalid does not mean to say that the verdict was wrong, as proof, We all know that Tantowi Yahya is an artist. So the conclusion in the argument above statement is true, however, based on the premise, the argument is not a valid argument.
Reason to Solve
Logic and reasoning are always associated with the term problem solving and critical thinking. When we are dealing with problems, puzzles, or dilemma, we'll try to find a reasonable solution. The first step in solving problems (problem solving) is to provide a clear definition of the problem. This step is like not doing anything, however, this becomes the beginning for appropriate actions directed towards solving the problem. Always ask about, "what exactly should be done?" Before we can solve the problem, of course we have to understand this question. Once the problem has been defined, all relevant information to them must be collected, organized, and in the analysis. In this analysis we compare well with the completion of the previously unknown. Is it the same? How is it different? Does the previous solution can be applied? If appropriate, make a scheme problem; visual representations often provide insight into the interpretation of clues.
Before using a formula or a method, specify that the method is relevant to the situation. A common mistake that we often use the solution in the wrong place. If a method has been used with success, use back, if not, find a standard solution that enables the development of other methods are more creative. Do not ever worry about to try something new. "What if we tried this ..?" may inspire a unique solution.
Before using a formula or a method, specify that the method is relevant to the situation. A common mistake that we often use the solution in the wrong place. If a method has been used with success, use back, if not, find a standard solution that enables the development of other methods are more creative. Do not ever worry about to try something new. "What if we tried this ..?" may inspire a unique solution.
Term
In the online dictionary 'Webster', a term logic, 'logic', defined as the science of correct reasoning ('the science of correct reasoning'). In the movie Star Trek, Mr. Spock's often claimed, 'emotions often provide conclusions which are not logical'. Reasoning itself is defined as the process of making inferences from the information or facts assumed. Reasoning is an integrated part in the everyday world. We always act based on perceptions and our experiences. For example, if within two days of rain, of course we consider to bring a raincoat when out of the house.
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