Synthesized answer
The provided passages describe the contents of two volumes of Imre Lakatos' philosophical and scientific papers [1]. Volume I focuses on the philosophy of the physical sciences, including an unpublished essay on Newton's scientific achievement [1]. Volume II covers the philosophy of mathematics, featuring previously unpublished work, as well as critical essays on contemporary philosophers of science and writings on political and educational issues [1].
The passages do not contain an explanation of the key concepts in Lakatos' own words. They only provide a summary of the topics covered in the published volumes. Therefore, it is not possible to explain the key concepts based on the given information.
Synthesized from the book passages below. Chat with the book on Feynman for follow-up.
From the book
Title: Mathematics, science, and epistemology by Imre Lakatos Description: Imre Lakatos' philosophical and scientific papers are published here in two volumes. Volume I brings together his very influential but scattered papers on the philosophy of the physical sciences, and includes one important unpublished essay on the effect of Newton's scientific achievement. Volume 2 presents his work on the philosophy of mathematics (much of it unpublished), together with some critical essays on contemporary philosophers of science and some famous polemical writings on political and educational issues.