A report on Mathematics, Computer science and Logic

3rd century BC Greek mathematician Euclid (holding calipers), as imagined by Raphael in this detail from The School of Athens (1509–1511)
Charles Babbage, sometimes referred to as the "father of computing".
Argument terminology used in logic
The distribution of prime numbers is a central point of study in number theory. This Ulam spiral serves to illustrate it, hinting, in particular, at the conditional independence between being prime and being a value of certain quadratic polynomials.
Ada Lovelace published the first algorithm intended for processing on a computer.
Aristotle, 384–322 BCE.
The quadratic formula expresses concisely the solutions of all quadratic equations
A depiction from the 15th century of the square of opposition, which expresses the fundamental dualities of syllogistic.
Rubik's cube: the study of its possible moves is a concrete application of group theory
The Babylonian mathematical tablet Plimpton 322, dated to 1800 BC.
Archimedes used the method of exhaustion, depicted here, to approximate the value of pi.
The numerals used in the Bakhshali manuscript, dated between the 2nd century BC and the 2nd century AD.
A page from al-Khwārizmī's Algebra
Leonardo Fibonacci, the Italian mathematician who introduced the Hindu–Arabic numeral system invented between the 1st and 4th centuries by Indian mathematicians, to the Western World.
Leonhard Euler created and popularized much of the mathematical notation used today.
Carl Friedrich Gauss, known as the prince of mathematicians
The front side of the Fields Medal
Euler's identity, which American physicist Richard Feynman once called "the most remarkable formula in mathematics".

Mathematics is essential in many fields, including natural sciences, engineering, medicine, finance, computer science and social sciences.

- Mathematics

Logic is studied in and applied to various fields, such as philosophy, mathematics, computer science, and linguistics.

- Logic

Computer science research also often intersects other disciplines, such as cognitive science, linguistics, mathematics, physics, biology, Earth science, statistics, philosophy, and logic.

- Computer science

Before this period, sets were not considered to be mathematical objects, and logic, although used for mathematical proofs, belonged to philosophy, and was not specifically studied by mathematicians.

- Mathematics
3rd century BC Greek mathematician Euclid (holding calipers), as imagined by Raphael in this detail from The School of Athens (1509–1511)

3 related topics with Alpha

Overall

Mathematical logic

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Mathematical logic is the study of formal logic within mathematics.

Computer scientists often focus on concrete programming languages and feasible computability, while researchers in mathematical logic often focus on computability as a theoretical concept and on noncomputability.

Argument terminology

Deductive reasoning

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Mental process of drawing deductive inferences.

Mental process of drawing deductive inferences.

Argument terminology

Logic, on the other hand, focuses on the deductive relation of logical consequence between the premises and the conclusion or how people should draw inferences.

The semantic approach is also referred to as the model-theoretic approach since the branch of mathematics known as model theory is often used to interpret these sentences.

But the subject of deductive reasoning is also pertinent to the computer sciences, for example, in the creation of artificial intelligence.

René Descartes, who is often credited as the father of modern philosophy, was often preoccupied with epistemological questions in his work.

Epistemology

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Branch of philosophy concerned with knowledge.

Branch of philosophy concerned with knowledge.

René Descartes, who is often credited as the father of modern philosophy, was often preoccupied with epistemological questions in his work.
Bertrand Russell famously brought attention to the distinction between propositional knowledge and knowledge by acquaintance.
An Euler diagram representing a version of the traditional definition of knowledge that is adapted to the Gettier problem. This problem gives us reason to think that not all justified true beliefs constitute knowledge.
The analytic–synthetic distinction was first proposed by Immanuel Kant.
David Hume, one of the most staunch defenders of empiricism.

Epistemology is considered a major subfield of philosophy, along with other major subfields such as ethics, logic, and metaphysics.

Certain forms exempt disciplines such as mathematics and logic from these requirements.

Work in this area spans several academic fields, including philosophy, computer science, economics, and statistics.