The solution to Fermat last theorem.
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There are two and one syllables in "recent" and "where," respectively.
No, logic and formal proof have been integral parts of mathematics for thousands of years. The ancient Greeks, such as Euclid and Pythagoras, were known for their use of logical reasoning and formal proofs. However, the development of formal logic as a field of study did occur more recently in the 19th and 20th centuries.
In recent past
Yes, the word 'recently' is an adverb because it alters the meaning of a verb. An example would be 'he recently had the flu and was unable to go to school' where had/have is the verb.
Although the Pythagorean theorem (sums of square of a right angled triangle) is called a theorem it has many mathematical proofs (including the recent proof of Fermats last theorem which tangentially also prooves Pythagorean theorem). In fact Pythagorean theorem is an 'axiom', a kind of 'super law'. It doesn't matter if anyone does oppose it, it is one of the few fundamental truths of the universe.