Deductive Reasoning

can anyone give me more information about this topic- "deductive reasoning".? you may think i'm obsessed with sherlock holmes but the fact is that i want to know more about it..

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Easy Math Editor

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Comments

Deductive reasoning is the process of reaching a conclusion through a set of assumptions (or observations - although they are arguably pretty similar).

E.g.: 1) Everyone called Steve wears an orange hat, 2) I called my friend Steve

Therefore: my friend is wearing an orange hat.

Theo Keeping - 7 years, 6 months ago

Obviously this is very simplistic, but deductive reasoning is a very powerful tool, and we use it to take the mathematic assumptions that we have to their limit.

Inductive reasoning is even more powerful, although it does not supply complete proof, merely indicates (through statistical generalisation): E.g.: I have only ever heard of humans being under the height of 8ft, Therefore I assume: All humans are under 8ft [Obviously this is flawed as humans may be born taller than 8ft, however inductive reasoning is more powerful as you do not have to be 100% certain of anything, whereas with deductive reasoning you have to either be 100% certain (unlikely) or make an assumption (through inductive reasoning!)]

Theo Keeping - 7 years, 6 months ago

do you have some problems about the deductive reasoning?

Ivan dennys Opit - 6 years, 5 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$