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About this document
- Pages
- 10 pages
- Price
- $10 one-time, yours to keep
- Membership
- Included in every plan
- Format
- Subject
- Computer Science, Philosophy
- Module
- Chapter 1
This document introduces the history and applications of logic, from personal and professional use to computer applications. It discusses how logic is used to state observations, define concepts, and formalize theories, and how logical reasoning and proofs are used to derive and convince others of conclusions. It is Chapter 1 of a book on logic.
What's inside
- The history and importance of logic
- Applications of logic in personal and professional life
- Using logic to state observations and define concepts
- Logical reasoning and proofs
- Computer applications of logic
Who it is for: Students of logic, philosophy, or computer science. (Undergraduate)
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Summary
Logic is one of the oldest intellectual disciplines. Students learn what logic is, how it is used in daily life and by computers, and how it helps to draw conclusions from information.
Logic in daily life
Logic is used in personal and professional activities. It helps to state observations, define concepts and formalize theories. It is also used by computers for various tasks.
Elements of logic
Logic helps to express information and draw conclusions. A set of logical sentences can constrain the possible ways the world could be. Sometimes, a collection of sentences only partially constrains the world.
Formal language of logic
Logic uses a formal language for encoding information. This eliminates difficulties in natural language. It allows precise reasoning rules that produce logically entailed conclusions.
Applications of logic
Logic is used in data integration, logical spreadsheets, and encoding regulations and business rules. Automated reasoning techniques help to compute new tables, detect problems and optimize queries.
Key terms
- Logical entailment
- A conclusion that must be true if the premises are true.
- Deduction
- A pattern of reasoning that always leads to correct conclusions.
- Inductive reasoning
- A pattern of reasoning that is sometimes useful but not always correct.
- Formal language
- A language with precise syntax and semantics for encoding information.
- Automated reasoning
- Using computers to apply logical rules and draw conclusions.
- Logical theory
- A set of logical sentences that can be used to draw conclusions.
Questions this document helps with
- When is a pattern of reasoning correct?
- How does logic help to draw conclusions from information?
- What is the difference between deduction and induction?
Summary written with AI from the document's text.
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