Pronunciation: [lˈɒd͡ʒɪkə͡l pɹˈuːf] (IPA) 
The correct spelling of the word "logical proof" is /ˈlɑːdʒɪkəl pruːf/. The first part of the word "logical" is pronounced with a long "o" sound, represented by the IPA symbol /ɑː/. The second part of the word "proof" is pronounced with a long "u" sound, represented by the IPA symbol /uː/. The word is commonly used in arguments and debates where one party presents a logical proof to support their argument or claim.
Logical proof is a method of establishing the truth or validity of a claim or argument by using reasoning and rational analysis. It refers to the systematic process of presenting evidence, premises, and logical deductions that demonstrate the soundness or coherence of an argument.
In a logical proof, the goal is to provide sufficient evidence and logical connections to support or validate a statement or proposition. This typically involves presenting a series of premises (propositions that are assumed to be true) and using logical principles (such as deductive reasoning) to derive a conclusion that necessarily follows from those premises. The proof must adhere to the principles of logic, ensuring that the deductive steps are valid and the premises are true, in order to establish the final conclusion as being logically true.
Logical proofs are commonly used in various fields of knowledge, such as mathematics, philosophy, and science. They allow researchers, philosophers, and scholars to demonstrate the validity of their claims or arguments through a rigorous and systematic process, reducing the impact of personal bias or opinion.
Overall, logical proof is a methodological tool that allows individuals to construct a coherent and reasoned argument, ensuring that the final conclusion is based on logical principles and supported by evidence or premises that are considered to be true.
The etymology of the word "logical proof" can be traced back to two main sources.
Firstly, the word "logical" is derived from the Greek word "logikos", which means "pertaining to speech or reasoning". This term was further derived from "logos", which means "word", "reason", or "speech". In ancient Greek philosophy, "logos" was used to refer to rational discourse and logical reasoning. Over time, the term "logical" came to describe anything pertaining to logical reasoning or the principles of valid reasoning.
Secondly, the word "proof" has its origins in Old French and Latin. In Old French, "proof" was spelled as "preuve" and meant "evidence" or "demonstration". It ultimately derives from the Latin term "probare", meaning "to test" or "to prove".
