That knowledge which adds greatness to character is knowledge so handled as to transform every phase of immediate experience.

There is no more common error than to assume that, because prolonged and accurate mathematical calculations have been made, the application of the result to some fact of nature is absolutely certain.

Science repudiates philosophy. In other words, it has never cared to justify its truth or explain its meaning.

Human life is driven forward by its dim apprehension of notions too general for its existing language.

Every philosophy is tinged with the coloring of some secret imaginative background, which never emerges explicitly into its train of reasoning.

Great dreamers' dreams are never fulfilled, they are always transcended.

Without deductive logic science would be entirely useless. It is merely a barren game to ascend from the particular to the general, unless afterwards we can reverse the process and descend from the general to the particular, ascending and descending like angels on Jacob's ladder.