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Deductive reasoning is a very effective strategy and effective when the premises are correct and each step in the process of deductive reasoning follows logically from the previous step.Premises used in deductive reasoning are very important.
He or she determines that the sum of the three angles is 180° regardless of the triangle.
It would be very tempting to make an assumption about the sum of the interior angles of a triangle.
This unique creative, out-the-box thinking is also very effective in generating a valid hypothesis.
Inducing broader knowledge based on set of obervations or experience can be very valuable because it allows us to form ideas about groups of things in real life or scientifically leads to a more careful study of a particular subject.
Hypotheses are also generated by taking specific instances or experiences and creating a general principle based on inductive reasoning.
For example, a geometry student might measure the interior angles of a group of randomly drawn triangles.By observing crystals that do not fit this hypothesis, it can be deducted that this hypothesis (“the color of a mineral is determined by its crystal structure”) is not supported based on the known facts of the other crystals’ shapes in relation to their color.Making deductions is the key component when a cause cannot be directly observed, and only consequences can be observed.Both inductive and deductive reasoning are used in every day life and in the scientific world and help humankind make sense or make facts of the world around them. To estimate the population of a town in upcoming years, one of the town workers collected populations from past years and made this table.However, such reasoning stems from an emic perspective, one that is subjective, looking from the inside out.And many times a subjective, closed-in reasoning process can result in a hypothesis that is skewed.Knowledge is constantly being produced, based on assumptions or reasoning.One might see a story in the news of a shark in Southern California that attacks a surfer.If the color of a mineral is determined by its crystal structure, then all purple minerals should have the same crystal structure.However, with the power of observation, it is known that a purple amethyst has a hexagonal structure and purple fluorite has an isometric structure.