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"In Deductive Reasoning, we cannot have any truth in the conclusion which is not virtually contained in the premises."
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William WhewellInduction is a term applied to describe the process of a true Colligat — William Whewell
"Induction is a term applied to describe the process of a true Colligation of Facts by means of an exact and appropriate Conception. An Induction is also employed to denote the proposition which results from this process. An Induction is not the mere sum of the Facts which are colligated. The Facts are not only brought together, but seen in a new point of view. The Consilience of Inductions takes place when an Induction, obtained from one class of facts, coincides with an Induction, obtained from another different class."
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William Whewell
William Whewell
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William Whewell was an English polymath. He was Master of Trinity College, Cambridge. In his time as a student there, he achieved distinction in both poetry and mathematics.
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"A Natural System is one which attempts to make all the divisions natural, the widest as well as the narrowest; and therefore applies no characters peremptorily."
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William WhewellQuote
"We cannot observe external things without some degree of Thought; nor can we reflect upon our Thoughts, without being influenced in the course of our reflection by the Things which we have observed."
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William WhewellQuote
"The Sight cannot decompose a compound colour into simple colours, or distinguish a compound from a simple colour"
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William WhewellQuote
"The solution is, that we do not see the image on the retina at all, we only see by means of it."
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William WhewellQuote
"We unfold out of the Idea of Space the propositions of geometry, which are plainly truths of the most rigorous necessity and universality. But if the idea of space were merely collected from observation of the external world, it could never enable or entitle us to assert such propositions: it could never authorize us to say that not merely some lines, but all lines, not only have, but must have, those properties which geometry teaches. Geometry in every proposition speaks a language which experience never dares to utter; and indeed of which she but half comprehends the meaning."
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William Whewell