Sentence:  To his Harvard colleague , Josiah Royce , whose philosophic position differed radically from his own , James could write , `` Different as our minds are , yours has nourished mine , as no other social influence ever has , and in converse with you I have always <WSD>felt</WSD> that my life was being lived importantly '' . 
Meaning of the word marked with <WSD> tags:  come to believe on the basis of emotion, intuitions, or indefinite grounds