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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.

Q: Is Logic and formal proof a recent mathematical development?

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Mathematical logic is a branch of mathematics which brings together formal logic and mathematics. Mathematical logic entails formal systems for defining the basics and then using the deductive power of logic to develop a system of formal proofs.

formal is just study of logic with purely formal content and material is the branch of logic that focuses the content of reasoning.

Formal logic is logic used to examine the form that an argument is presented in. Formal logic looks at the grammar and sentence structure of an argument through a logical approach.

Boolean Algebra is the study of the algebra of logic whilst Mathematical logic is a way of applying Boolean algebra. Other applications include set theory, digital logic and probability.

Mathematical logic.

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Depends on your definition of recent. Formal proofs and logic have existed for a long time by their rigorisation only really began in the 19th century and a fully-developed theory of mathematics using logic and formal proofs wasn't constructed until the beginning of the 20th century.

Mathematical logic is a branch of mathematics which brings together formal logic and mathematics. Mathematical logic entails formal systems for defining the basics and then using the deductive power of logic to develop a system of formal proofs.

With the Prior Analytics, Aristotle is credited with the earliest study of formal logic, and his conception of it was the dominant form of Western logic until 19th century advances in mathematical logic.

symbolic logicA treatment of formal logic in which a system of symbols is used to represent quantities and relationships. Also called mathematical logic.Source: Answers.com

Formal psychology refers to the use of mathematical and computational models to study psychological phenomena. It focuses on developing theories and methods derived from formal logic and information theory to understand mental processes. Formal psychology is particularly useful for analyzing complex cognitive processes and decision-making.

Journal of Mathematical Logic was created in 2001.

Archive for Mathematical Logic was created in 1950.

Principles of Mathematical Logic was created in 1938.

Robert Feys has written: 'Logistiek, geformaliseerde logica' -- subject(s): Logic, Symbolic and mathematical, Symbolic and mathematical Logic 'Modal logics' -- subject(s): Logic, Symbolic and mathematical, Modality (Logic), Symbolic and mathematical Logic

Joseph Robert Schoenfield has written: 'Mathematical logic' -- subject(s): Logic, Symbolic and mathematical, Symbolic and mathematical Logic

Georg Kreisel has written: 'Elements of mathematical logic (Model theory)' -- subject(s): Symbolic and mathematical Logic 'Elements of mathematical logic' -- subject(s): Symbolic and mathematical Logic 'Modelltheorie' -- subject(s): Model theory

M. Ben-Ari has written: 'Mathematical logic for computer science' -- subject(s): Logic, Symbolic and mathematical, Symbolic and mathematical Logic