Mathematical logic is something that has been around for a very long time. Centuries Ago Greek and other logicians tried to make sense out of mathematical proofs. As time went on other people tried to do the same thing but using only symbols and variables. But I will get into detail about that a little later. There is also something called set theory, which is related with this. In mathematical logic a lot of terms are used such as axiom and proofs. A lot of things in math can be proven, but there are still some things that will probably always remain theories or ideas.

Mathematical Logic is something that has a very long history behind it. It has been debated on for many centuries. If someone were to divide mathematical logic into groups they would get two major groups. Both groups are very long. One is called "The history of formal deduction" and it goes all the way back to Aristotle and Euclid and other people who lived at that time. The other is "the history of mathematical analysis" which goes back to the times of Archimedes, who was in the same era as Aristotle and Euclid. These to groups or streams were separate for a long time until Newton invented Calculus, which brought Math and logic together.

Somebody who studies mathematical logic and gives his or her own concepts about it is called a logician. Some well known logicians include Boole and Frege. They were trying to give a definite form to what formal deduction really was. Aristotle had already done such a thing but he had done it with language, Boole wanted to do it with only Symbols. Frege came up with "Predicate Calculus".

As time went on people did not make new theories as much as they used to in the time of Aristotle. They mostly concentrated on expanding on theories that have been said centuries ago, proving those theories or putting them into symbolic form.

...Bertrand Russell's Contribution to the Development of Formal Logic
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Since the beginning of time, man has been in search of answers. These philosophical enquiries are what gave birth to everything we know, such as science, law, and religion. It has laid the foundation to which all theories and discoveries have come from, and it is the soil from which the fruits of life have grown. The formal definition of philosophy is that it 'is the study of general and fundamental...

...1
What Is Logic?
1 Arguments
Symbolic logic is usually described as the study of the difference between valid
and invalid arguments, so we begin with an explanation of this terminology. An
argument is a piece of discourse which contains some premises, a conclusion,
and perhaps also some reasoning in which an attempt is made to derive the
conclusion from the premises. The premises are those statements which, for
the purposes of the argument, are being...

...Watts
Introduction to Philosophy
Essay 2: Use of LogicLogic plays a big role in our society today. In fact logic has played a big role in the advancement of civilization. There are many forms of logic and many different applications that go along with them. Logic seeks out the truth in statements through deduction and reasoning. Using logic one can test the validity of a statement just by understanding the...

...Fuzzy Logic
B.Vasanth,
Electrical and Electronics Department, Rajalakshmi Engineering College
Thandalam, Chennai, India
vasanth1508@gmail.com
I. INTRODUCTION
Fuzzy logic was developed by Lotfi A. Zadeh in the 1960s in order to provide mathematical rules and functions which permitted natural language queries. Fuzzy logic provides a means of calculating intermediate values between absolute true and absolute false with...

...Agapay, Ramon B. Logic – The Essentials of Deductive Reasoning. 2nd Ed. Mandaluyung City: National Book Store, 2007.
Babor, Eddie R. LL.B. Logic- The Philosophical Discipline of Correct Thinking. Quezon City: C & E Publishing Inc. 2003.
Bachhuber, Andrew H., S.J. Introduction to Logic. New York: Appleton-Century-Crofts, Inc., 1957.
Bernardo Anunciacion Chavez, De Claro Malune G. Logic, A Modular Approach. Quezon City: Great Books...

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A Concise Introduction to Logic
NINTH EDITION
Patrick J. Hurley
University of San Diego
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United Kingdom • United States
Publisher: Holly J. Allen
Philosophy Editor: Steve Wainwright
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...LogicLogic (from the Greek λογική, logike)[1] has two meanings: first, it describes the use of valid reasoning in some activity; second, it names the normative study of reasoning or a branch thereof.[2][3] In the latter sense, it features most prominently in the subjects of philosophy, mathematics, and computer science.
Logic was studied in several ancient civilizations, including India,[4] China,[5] Persia and Greece. In the West,...

...Everything You Wanted to Know About Logic Models But Were Afraid to Ask
This paper addresses situations where a private foundation designs an initiative and awards grants to a number of sites to participate in the initiative in their local setting. The basic ideas are applicable to other situations.
What is a Logic Model?
The term "logic model" comes from the evaluation field, but these models don’t just belong to evaluators or the evaluation...