The positive heuristic of the programme saves the scientist from becoming confused by the ocean of anomalies.
Imre LakatosThe history of mathematics, lacking the guidance of philosophy, [is] blind, while the philosophy of mathematics, turning its back on the most intriguing phenomena in the history of mathematics, is empty.
Imre LakatosIntellectual honesty consists in stating the precise conditions under which one will give up one's belief.
Imre LakatosIt would be wrong to assume that one must stay with a research programme until it has exhausted all its heuristic power, that one must not introduce a rival programme before everybody agrees that the point of degeneration has probably been reached.
Imre Lakatos