system of logic
Definition
Noun: - A formal, structured framework of principles and rules used for valid reasoning and drawing correct conclusions. It establishes the standards for distinguishing sound arguments from unsound ones.
Usage
- The term "system of logic" refers to the codified set of laws and procedures that govern deductive or inductive reasoning.
- It is used in academic, philosophical, and mathematical contexts to describe a specific, defined logical structure (e.g., propositional logic, first-order logic).
Examples
- Aristotle's syllogistic framework is a foundational system of logic.
- To analyze this argument formally, we must apply the rules of a specific system of logic.
- Different systems of logic, such as classical and non-classical logics, can yield different conclusions from the same premises.
Advanced Usage
- Formal system: Often used synonymously with "system of logic" when emphasizing its axiomatic and rule-based nature.
- Logical calculus: A specific type of system of logic expressed through formal symbols and manipulation rules.
Variants and Related Words
- Logic (n): The broader study of reasoning and argument. A "system of logic" is a specific instantiation of this study.
- Logical system (n): A direct synonym for "system of logic".
Synonyms
- Formal logic
- Logical calculus
Notes on Meaning
This term is highly specialized. In general discourse, people refer simply to "logic." "System of logic" specifies a particular, well-defined set of rules, such as Boolean logic or predicate logic.
Noun
-
a system of reasoning
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