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Imre Lakatos
Imre Lakatos, originally named Imre Avrum Lipschitz, was born to a Jewish family in Debrecen, Hungary. Before the Germans invaded Hungary in March 1944, Lakatos was able to earn his degree in mathematics, physics and philosophy from the University of Debrecen. -
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Proofs and Refutations
After Lakatos imprisonment during the Stalinist rule, Lakatos decided to return to his academic life receiving his PhD in philosophy in 1961 from the University of Cambridge. During this time Lakatos developed his four part doctoral thesis that would be later be known to be as "Proofs and Refutations: The Logic of Mathematical Discovery". In this book Lakatos shows us that counterexamples are an important role in mathematics and science. Also expanding on his research program. -
Arguing the formalism in mathematics
In one of the sections of Lakatos book he judges the "formalist" philosophies of mathematics saying that mathematics cannot be constructed on Euclidean deductions and should therefor be less open ended to avoid any confusion or uncertainty. Lakatos believed these philosophies are valid but are mostly up for debate being that they are all mostly open-ended or ambivalent.
https://www.youtube.com/watch?v=hz2BkusV9C0 -
Lakatos research program
In another part of Imre Lakatos these he brings up another interesting philosophy. Here he decided the argue the importance's of other philosophical views and his perspective of them. Lakatos spoke about Poppers falsification, stating that not all scientific statements need falsification, some statements can be supported without any proofs. Lakatos also argues that the Kuhnian paradigm is too overly simplified and would not work. Lakatos argues that there can be parallels in paradigms.
