What was a key thesis of Lakatos regarding mathematics?
Infallibility
Fallibility
Complexity
Irrelevance
Answer
Fallibility was a central thesis of Imre Lakatos's philosophy of mathematics. He argued that mathematical knowledge is not absolute or infallible, but rather fallible and subject to revision. Lakatos believed that mathematical progress occurs through a process of conjecture and refutation, in which mathematicians propose conjectures and then attempt to prove or disprove them. If a conjecture is disproved, it is rejected and a new conjecture is proposed.
Exploring Imre Lakatos: Mastermind of Mathematics and Science Philosophy
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