- #1
modzz
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Prove or disapprove that the product of two rational numbers is irrational
How do you solve this?
Thanks
How do you solve this?
Thanks
Logics and Proof - Discrete Mathematics
- Thread starter modzz
- Start date
In summary, discrete mathematics is a branch of mathematics that deals with discrete objects and their properties, while logic is the study of reasoning and inference. A proof is a logical sequence of steps that demonstrates the validity of a statement. Logic and proof are important in discrete mathematics as they allow for theorems to be proven and problems to be solved in a rigorous and systematic way. In real-world applications, logic and proof are used in areas such as computer science, cryptography, and engineering to develop algorithms, verify software correctness, and design secure communication protocols.
- #2
tiny-tim
Science Advisor
Homework Helper
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Hi modzz! 
You start by … erm
… starting!
Show us what you've tried, and where you're stuck, and then we'll know how to help.
modzz said:
You start by … erm
… starting!Show us what you've tried, and where you're stuck, and then we'll know how to help.
1. What is discrete mathematics?
Discrete mathematics is a branch of mathematics that deals with discrete objects and their properties. It is concerned with mathematical structures that are countable, such as integers, graphs, and sets, rather than continuous objects like real numbers.
2. What is logic?
Logic is the study of reasoning, argumentation, and inference. It is the process of using rational and systematic methods to reach a conclusion based on given premises or statements.
3. What is a proof?
A proof is a logical sequence of steps that demonstrates the validity of a statement or theorem. It is a formal justification that shows that a statement is true by using accepted rules and axioms.
4. Why is logic and proof important in discrete mathematics?
Logic and proof are fundamental concepts in discrete mathematics because they allow us to prove theorems, validate arguments, and solve problems. They provide a rigorous and systematic way to reason about discrete structures and their properties.
5. How is logic and proof used in real-world applications?
Logic and proof are used in various real-world applications, such as computer science, cryptography, and engineering. They are essential in developing algorithms, verifying software correctness, and designing secure communication protocols.
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