List of Unsolved Problems in Mathematics

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“A man’s interest in a single bluebird is worth more than a complete but dry list of the fauna and flora of a town.”
—Henry David Thoreau (1817–1862)

“Lastly, his tomb
Shall list and founder in the troughs of grass
And none shall speak his name.”
—Karl Shapiro (b. 1913)

“Play permits the child to resolve in symbolic form unsolved problems of the past and to cope directly or symbolically with present concerns. It is also his most significant tool for preparing himself for the future and its tasks.”
—Bruno Bettelheim (20th century)

“...I have wanted to believe people could make their dreams come true ... that problems could be solved. However, this is a national illness. As Americans, we believe all problems can be solved, that all questions have answers.”
—Kristin Hunter (b. 1931)

“The three main medieval points of view regarding universals are designated by historians as realism, conceptualism, and nominalism. Essentially these same three doctrines reappear in twentieth-century surveys of the philosophy of mathematics under the new names logicism, intuitionism, and formalism.”
—Willard Van Orman Quine (b. 1908)