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Deductive and Inductive methods are complimentary to each other. It is:
- a)Absolutely correct
- b)Absolutely incorrect
- c)Partially incorrect
- d)None of the above.
Correct answer is option 'A'. Can you explain this answer?
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Deductive and Inductive methods are complimentary to each other. It is...
Induction and deduction always complement each other in reasoning, but proper induction is not necessary for the truth of deduction. Induction produces general conclusions from specific instances, but deduction produces knowledge of specific instances from general knowledge. Inductive reasoning is like drawing a regression for given points where deductive reasoning is akin to plotting points when the function is known. Clearly, the regression is just an approximation. The deduction appears to be exact. Brian argues that because one can only form premises for deduction from induction, induction must be epistemologically superior. This is not the case.
Induction leads to the definitions of terms, concepts, and abstractions as Brian adduces. It relies on sense perception. Early man undoubtedly defined objects based on sense perception. The first words probably referred to the senses and were probably colors, sounds, tastes, etc. These terms are defined by sense perception so induction never fails when you use them; if you sense a loud sound, it must be loud. This later results in linking different sense perceptions together. Sensory experiences come in clusters. The same object that is hard and gray, also hurts when it hits someone. This repeated cluster of sensation leads to the word "rock". The immediate sensations are followed by observed "effects" of the object. Overtime, these effects become equally important to the definition of the term.
The usage of this concept does not depend on one particular sensation. It depends on an imprecise combination of sensations. Sometimes, objects aren't gray, but they result in every other sensory experience associated with the rock. Also, they produced the same effects as gray objects. Since "rock" is now associated with specific effects, one can call a non-gray object a rock if it satisfies the criteria.
This is why deduction is necessary for induction to have any real meaning. It is deduction and not induction that sorts terms into concepts. When one faces a huge assortment of sensations, one must decide what terms to use to describe it. This is why you need deduction. You need to use the same term to refer to different sensory experiences.
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Deductive and Inductive methods are complimentary to each other. It is...
Deductive and Inductive methods are Complimentary to each other
Introduction:
Deductive and Inductive methods are two ways of reasoning that are used to arrive at a conclusion. Both methods are different from each other, but they are complementary to each other. The deductive method is based on general principles, while the inductive method is based on observation.
Explanation:
The deductive method is used to arrive at a conclusion by starting with a general principle and then applying it to a specific case. This method is used in mathematics and logic, where the principles are well-established. For example, if all men are mortal and Socrates is a man, then Socrates must be mortal.
The inductive method is used to arrive at a conclusion by observing specific cases and then generalizing the principle. This method is used in science and social sciences, where the principles are not well-established. For example, if all the crows you have observed are black, then you might generalize that all crows are black.
Both methods are complementary to each other:
- Deductive reasoning is used to test the validity of a general principle, while inductive reasoning is used to arrive at a general principle.
- Deductive reasoning can be used to prove a hypothesis, while inductive reasoning can be used to generate a hypothesis.
- Deductive reasoning is used to prove a theorem, while inductive reasoning is used to formulate a theory.
- Deductive reasoning is used to arrive at a specific conclusion, while inductive reasoning is used to arrive at a general conclusion.
Conclusion:
In conclusion, the deductive and inductive methods are complementary to each other. They are both useful ways of reasoning, and they are used in different fields. The deductive method is used in mathematics and logic, while the inductive method is used in science and social sciences. Both methods are essential for arriving at a conclusion.
Introduction:
Deductive and Inductive methods are two ways of reasoning that are used to arrive at a conclusion. Both methods are different from each other, but they are complementary to each other. The deductive method is based on general principles, while the inductive method is based on observation.
Explanation:
The deductive method is used to arrive at a conclusion by starting with a general principle and then applying it to a specific case. This method is used in mathematics and logic, where the principles are well-established. For example, if all men are mortal and Socrates is a man, then Socrates must be mortal.
The inductive method is used to arrive at a conclusion by observing specific cases and then generalizing the principle. This method is used in science and social sciences, where the principles are not well-established. For example, if all the crows you have observed are black, then you might generalize that all crows are black.
Both methods are complementary to each other:
- Deductive reasoning is used to test the validity of a general principle, while inductive reasoning is used to arrive at a general principle.
- Deductive reasoning can be used to prove a hypothesis, while inductive reasoning can be used to generate a hypothesis.
- Deductive reasoning is used to prove a theorem, while inductive reasoning is used to formulate a theory.
- Deductive reasoning is used to arrive at a specific conclusion, while inductive reasoning is used to arrive at a general conclusion.
Conclusion:
In conclusion, the deductive and inductive methods are complementary to each other. They are both useful ways of reasoning, and they are used in different fields. The deductive method is used in mathematics and logic, while the inductive method is used in science and social sciences. Both methods are essential for arriving at a conclusion.
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