Quote
"In Deductive Reasoning, we cannot have any truth in the conclusion which is not virtually contained in the premises."
W
William Whewell"All hypotheses respecting the manner in which the elements of inorganic bodies are arranged in space, must be constructed with regard to the general facts of crystallization."
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.
"In Deductive Reasoning, we cannot have any truth in the conclusion which is not virtually contained in the premises."
"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."
"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."
"The Sight cannot decompose a compound colour into simple colours, or distinguish a compound from a simple colour"
"The solution is, that we do not see the image on the retina at all, we only see by means of it."
"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."