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- In logic and semantics, a statement is a meaningful declarative sentence that is true or false, or a proposition12. A proposition is the assertion that is made by a true or false declarative sentence1. Propositional calculus, also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic, is a branch of logic that deals with propositions and relations between propositions, including the construction of arguments based on them3.Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.Statement (logic) In logic and semantics, the term statement is variously understood to mean either: a meaningful declarative sentence that is true or false, or a proposition. Which is the assertion that is made by (i.e., the meaning of) a true or false declarative sentence.en.wikipedia.org/wiki/Statement_(logic)Statement (logic) Declarative sentence that is true or false, or an assertion made by the sentence / From Wikipedia, the free encyclopediawww.wikiwand.com/en/Statement_(logic)Propositional calculus is a branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic. It deals with propositions (which can be true or false) and relations between propositions, including the construction of arguments based on them.en.wikipedia.org/wiki/Propositional_calculus
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See all on WikipediaStatement (logic) - Wikipedia
In logic and semantics, the term statement is variously understood to mean either: a meaningful declarative sentence that is true or false, ora proposition. Which is the assertion that is made by (i.e., the meaning of) a true or false declarative sentence. In the latter case, a statement is distinct from a … See more
Philosopher of language Peter Strawson (1919–2006) advocated the use of the term "statement" in sense (b) in preference to proposition. Strawson used the term "statement" to make … See more
In some treatments, "statement" is introduced in order to distinguish a sentence from its informational content. A statement is regarded as the information content of an information-bearing sentence. Thus, a sentence is related to the statement it … See more
Wikipedia text under CC-BY-SA license Propositional calculus - Wikipedia
The propositional calculus is a branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic. It deals with propositions (which can be true or false) and relations between propositions, including the construction of arguments based on them. Compound propositions are formed by connecting propositions by logical connectives representing the truth functions of conjunction, disjunction, implication, equivalence
Wikipedia · Text under CC-BY-SA licenseLogic - Wikipedia
WEBLogic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises due to the …
Logical truth - Wikipedia
WEBLogical truth is one of the most fundamental concepts in logic. Broadly speaking, a logical truth is a statement which is true regardless of the truth or falsity of its constituent propositions.
Propositional Logic | Brilliant Math & Science Wiki
WEBAs the name suggests propositional logic is a branch of mathematical logic which studies the logical relationships between propositions (or statements, sentences, assertions) taken as a whole, and connected …
Predicate (mathematical logic) - Wikipedia
WEBA predicate is a statement or mathematical assertion that contains variables, sometimes referred to as predicate variables, and may be true or false depending on those variables’ value or values. In propositional logic, atomic formulas are sometimes regarded as zero-place predicates. [1]
Logical form - Wikipedia
WEBIn logic, the logical form of a statement is a precisely-specified semantic version of that statement in a formal systemic . Informally, the logical form attempts to formalize a possibly ambiguous statement into a statement with a precise, unambiguous logical interpretation with respect to a formal system.
Outline of logic - Wikipedia
WEBOutline of logic. Logic is the formal science of using reason and is considered a branch of both philosophy and mathematics and to a lesser extent computer science. Logic investigates and classifies the structure of statements and arguments, both through the study of formal systems of inference and the study of arguments in natural language.
Logic - Simple English Wikipedia, the free encyclopedia
WEBLogic is the study of reasoning. The rules of logic let philosophers make logical deductions about the world. Logic helps people decide whether something can be true or false. Logic is often written in syllogisms, which are one type of logical proof. A syllogism is made from a collection of statements used to logically prove the final statement ...
5.1: Logic Statements - Mathematics LibreTexts
WEBJan 14, 2023 · Logic is the study of the methods and principles of reasoning. In logic, statement is a declarative sentence that is either true or false, but not both. The key to constructing a …
Propositional logic - Simple English Wikipedia, the free encyclopedia
WEBPropositional logic is a formal system in mathematics and logic. Other names for the system are propositional calculus and sentential calculus. The system is made of a set of propositions. Each proposition has a truth value, being either true or false.
Classical Logic - Stanford Encyclopedia of Philosophy
WEBSep 16, 2000 · Classical Logic. First published Sat Sep 16, 2000; substantive revision Wed Jun 29, 2022. Typically, a logic consists of a formal or informal language together with a deductive system and/or a model-theoretic semantics. The language has components that correspond to a part of a natural language like English or Greek.
Glossary of logic - Wikipedia
WEBThe conditions under which a statement or proposition is considered to be true, playing a central role in the semantic analysis of language. truth function. A function that takes truth values as input and produces a truth value as output, used in logic to model the truth conditions of logical connectives.
Truth Tables | Brilliant Math & Science Wiki
WEBMathematics normally uses a two-valued logic: every statement is either true or false. You use truth tables to determine how the truth or falsity of a complicated statement depends on the truth or falsity of its components.
Aristotle’s Logic - Stanford Encyclopedia of Philosophy
WEBMar 18, 2000 · Author and Citation Info. Back to Top. Aristotle’s Logic. First published Sat Mar 18, 2000; substantive revision Tue Nov 22, 2022. Aristotle’s logic, especially his theory of the syllogism, has had an unparalleled influence on the history of Western thought.
Formal logic | Definition, Examples, Symbols, & Facts
WEBMay 9, 2024 · formal logic, the abstract study of propositions, statements, or assertively used sentences and of deductive arguments. The discipline abstracts from the content of these elements the structures or logical forms that they embody.
Mathematical logic - Simple English Wikipedia, the free …
WEBMathematical logic is a field of mathematics that tries to formalize logic so that it can be used for mathematics more easily. Logic is about reasoning, and mathematical logic shows this with symbols. Most of mathematical logic was developed in the 19th and 20th century. This field can be said to have four main sub-fields: set theory.
Elementary logic - Wikiversity
WEBSep 2, 2021 · Elementary logic. Logic does not let us know whether specific statements or claims are true or false. Logic allows us to test whether propositions or arguments are valid or invalid and on a higher level if arguments are valid or fallacious. A fallacy is a provable error in a chain of reasoning due to the form of the argument itself.
Tautology (logic) - Simple English Wikipedia, the free encyclopedia
WEBBeginning. Related pages. References. Tautology (logic) A tautology can also be a figure of speech. In propositional logic, a tautology (from the Greek word ταυτολογία) is a propositional formula that is always true, and is sometimes denoted by the symbol (a symbol also reserved for the truth value 'true').
Second-order and Higher-order Logic - Stanford Encyclopedia of …
WEBAug 1, 2019 · Second-order and Higher-order Logic. First published Thu Aug 1, 2019. Second-order logic has a subtle role in the philosophy of mathematics. It is stronger than first order logic in that it incorporates “for all properties” into the syntax, while first order logic can only say “for all elements”.
Statement (logic) - Wikipedia
WEBStatement (logic) In logic, the term statement is variously understood to mean either: (a) a meaningful declarative sentence that is true or false, or. (b) the assertion that is made by a true or false declarative sentence.
Implication (logic) - Simple English Wikipedia, the free encyclopedia
WEBImplication (also known as logical consequence, implies, or If ... then) is a logical operation. It is the relationship between statements that holds true when one logically "follows from" one or more others. While a statement of the form "if P then Q " is often written as , the assertion that " Q is a logical consequence P " is often written as .
Statement (logic) - WikiMili, The Best Wikipedia Reader
WEBStatement (logic) - WikiMili, The Best Wikipedia Reader. Last updated April 09, 2024 • 3 min read From Wikipedia, The Free Encyclopedia. In logic and semantics, the term statement is variously understood to mean either: Contents. Overview. As an abstract entity. See also. Notes. References.
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