# Unit III: Introduction To Mathematical Reasoning | BCA 5th Semester Mathematical Foundation of Computer Science (MFCS) Notes Pdf

Mathematical reasoning is a crucial ability that allows pupils to examine a hypothesis without having to consider its context or meaning. When a scientific investigation or assertion is investigated, the logic is not reliant on a single person's perspective. Factually and scientifically sound derivations and evidence are required. Solving mathematical reasoning questions necessitates the use of critical thinking and logical reasoning.

We follow specific grammatical principles when studying literature. Similarly, a scientific theory has its own set of criteria and elements. It's worth noting that the majority of mathematical reasoning books and publications adhere to scientific grammar or applicable terminology and notations.

“The sum of two prime numbers is always even.”

“Because the sum of two prime numbers can be either an even number or an odd number, the above statement can be either true or untrue. Due to the ambiguity of this language, such assertions are not mathematically acceptable for reasoning. As a result, a phrase is only mathematically admissible if it is "either true or false, but not both at once." As a result, a statement is the fundamental unit of mathematical reasoning. This is a definition for a mathematical statement.”

In this “Introduction To Mathematical Reasoning - Mathematical Foundation of Computer Science” you will learn about the following topics:

1. Formal Languages
2. Inductive Definitions:
3. Axioms
4. Rules of Inference and Proofs
5. Direct Proof and Indirect Proof
6. Formal Proof and Informal Proof.

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This article Introduction To Mathematical Reasoning - Mathematical Foundation of Computer Science is contributed by Namrata Chaudhary, a student of Lumbini Engineering College (LEC).

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