The differing meanings of "valid inference" and "warranted inference" are closely related to the differing purposes of deductive and inductive arguments - the purpose of deductive being to prove; the purpose of inductive to make the conclusion most probable.

• Look up the words "valid" and "warranted." Each of these words, you will find, has what is known as a lexical definition - that is just the dictionary definition of the word. Words also have a certain connotations - meanings that go beyond their lexical definitions; associated ideas and concepts - think of terms such a "fur baby" as the name for a pet.
• Briefly discuss how the lexical definitions and connotations of "valid" and "warranted" can help us understand the differing purposes of deductive and inductive arguments.

Answer:

The terms "valid inference" and "warranted inference" are terms which are of the meanings from the lexical definitions and connotations :

"Valid inference": It means taking a false conclusion from a situation and presenting it as a valid point is what is a proper explanation of the term.

"Warranted inference": It is a type of inference in which the person wants to prove that the inference given is very much probabilistic or very close of being true, even though it might be true or false.

As from the given question it is clear that deductive being to prove as stated above the term valid inference is very much close to the term deductive and in various situations it will be helpful to understand by knowing what a valid inference is meant by. For example someone is dancing superbly and by seeing his or her performance someone comments that he or she is just dancing like Michael Jackson.

Similarly, the term inductive argument is meant to make the conclusion most probable, now if we see the term warranted inference and it's meaning it is very much close to the inductive arguments but by knowing what is meant by warranted inference it will be easy to understand various inductive arguments. For example a girl bangs the door strongly it is assumed that she might be angry. Even though she might be angry or not.