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Mathematics
Andrew Mitchell
25 June, 11:00
A form of reasoning is called
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Nicholson
25 June, 11:41
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Step-by-step explanation:
Hypothesis is to be explained in a similar manner to induction. Hypothesis is quite a different thing from induction and is usually so considered although I have not found any definition given of it which brings out the difference distinctly. But it will be acknowledged that a hypothesis is a categorical assertion of something we have not experienced. Now in induction there is nothing of this sort. [-] Hypothesis is in fact the inference of a minor proposition as in the following examples respecting light.
We find that light gives certain peculiar fringes. Required an explanation of the fact. We reflect that ether waves would give the same fringes. We have therefore only to suppose that light is ether waves and the marvel is explained.
[-]
We have then three different kinds of inference. Deduction or inference à priori. Induction or inference à particularis, and Hypothesis or inference a posteriori.
These differences between these two scientific inferences are so great that it seems to me essential to a right understanding of the subject that we should recognize two kinds of scientific reasoning. Induction and Hypothesis. [-] Hypothesis alone affords us any knowledge of causes and forces, and enables us to see the why of things. [-] So that we have
Deduction
Induction
and Hypothesis
as three coördinate classes of reasoning.
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