Logic (from the Greek λογική logos
It has two main meanings: it discusses the use of reasoning in some activity and it is the normative, philosophical study of valid reasoning.
In the second sense, logic is mainly discussed in the disciplines of philosophy, mathematics and computer science. Both senses based on the common focus referring to the harmony of reasoning, the formal proportionality between arguments, therefore, the correct and balanced relationship between all terms, the total agreement between each of them in a development
logic and reason
Three key historical thinkers in logic are Aristotle, who laid the foundation for formal logic; Gottlob Frege, who is considered one of the founders of modern logic; and Kurt Gödel, who formulated the incompleteness theorems, revolutionizing our understanding of the limits of formal systems.
Logic 0 and logic 1 are the two states in digital (or binary) logic. A binary numbering system has but two numbers: 0 and 1. In contrast, we use a decimal system with 10 numbers: 0 to 9. The area of algebra that addresses binary (2-state) logic is called Boolean. In Boolean a logic 0 may be refered to as 'low', 'off' or 'false'; a logic 1 as 'high', 'on' or 'true'. Boolean logic is the foundation of digital electronics.
The ancient Greek philosopher Aristotle is credited with being the first to formalize logic into an abstract form. His work on syllogistic reasoning laid the foundation for the study of logic as a systematic discipline.
Aristotle is considered the father of formal logic. He developed the syllogism, a form of deductive reasoning that consists of a major premise, a minor premise, and a conclusion. Aristotle's work on logic laid the foundation for the study of reasoning and argumentation.
Aristotle is often credited with turning logic into an abstract form through his work on categorizing and organizing principles of reasoning and inference. His logical system laid the foundation for much of Western philosophy and continues to influence the field of logic today.
Aristotle is considered to have the greatest influence in the field of logic for his development of the syllogism as a tool for deductive reasoning. His work on logic set the foundation for Western philosophy and provided a structured method for valid arguments.
Aristotle's primary contribution to the study of logic is the syllogism, a relationship between two things. A syllogism is an inference in which one proposition follows by necessity from two terms. Such a logical argument has altered the way Westerners approach logic, rhetoric, and general thinking.
He said logic is the means by which we know anything, in other words clear thinking is right as opposed to believing in gods causing things.
Logic is the branch of philosophy that pertains to the rules of correct reasoning. It encompasses techniques for analyzing arguments and evaluating their validity. Logic is concerned with the structure of valid arguments and the principles of sound reasoning.
Logic is crucial in computer science because it forms the foundation for designing and creating algorithms, programming languages, and systems. It helps ensure that computer programs operate correctly and efficiently by following a set of rules and reasoning processes. In essence, logic is the backbone of problem-solving and decision-making in the field of computer science.
The systematic study of logic is often attributed to ancient Greek philosophers such as Aristotle and Plato. These philosophers laid the foundation for the field of logic as we know it today. However, the roots of logical reasoning can be traced back to even earlier thinkers in ancient cultures such as the Indian and Chinese civilizations.