Based on its use in this context, the word doat most likely means

it puzzles me now to remember with what absurd sincerity i doated on this little toy, half fancying it alive and capable of sensation. (jane eyre; chapter 4, p. 17)

be revolted
resent
cherish
feel afection for

How is president obama using an appeal to reason, or logos, in this excerpt? by explaining why each person must work hard in order to succeed by explaining why working together is necessary for success by explaining why attempts at working together in the past failed by explaining why each person must look out for him or her self