Information is any entity or form that provides the answer to a question of some kind or resolves uncertainty. It is thus related to data and knowledge, as data represents values attributed to parameters, and knowledge signifies understanding of real things or abstract concepts. As it regards data, the information's existence is not necessarily coupled to an observer (it exists beyond an event horizon, for example), while in the case of knowledge, the information requires a cognitive observer.
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change. It has no generally accepted definition.
We don't know a millionth of one percent about anything.
Thomas Edison, As quoted in Golden Book (April 1931), according to Stevenson's Book of Quotations (Cassell 3rd edition 1938) by Burton Egbert Stevenson.
Mathematics is a versatile art; it can be applied to widely different purposes. Math has no morality; it does not care what it counts or what it proves.
Brian Stableford, Ashes and Tombstones, in Peter Crowther (ed.) Moon Shots (1999), reprinted in David G. Hartwell (ed.) Year's Best SF 5 (2000), p. 412
In June 1770, the explorer James Cook ran aground on the Great Barrier Reef in Australia and became the first European to experience the world's largest coral reef, today a paradise for scientists and holidaymakers alike. Last year, the James Cook research vessel set out to encounter unique and unexplored corals, this time in the deep ocean. Led by ERC grantee Dr Laura Robinson (University of Bristol, UK), the team on board crossed the equatorial Atlantic to take samples of deep-sea corals, reaching depths of thousands of meters. On the expedition, Dr Robinson collected samples that are shedding light on past climate changes and she will share her findings at TEDx Brussels.