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  1. Propositional calculus - Wikipedia

    • [24] Consequently, predicate logic ushered in a new era in logic's history; however, advances in propositional logic were still made after Frege, including natural deduction, truth trees and truth tables. Natural deduction was invented by Gerhard Gentzen and Stanisław Jaśkowski. Truth trees were invented by Evert Willem Beth. [25]… 展开

    Overview

    The propositional calculus is a branch of logic. It is also called propositional logic, statement logic, … 展开

    History

    Although propositional logic (also called propositional calculus) had been hinted by earlier philosophers, it was developed into a formal logic (Stoic logic) by Chrysippus in the 3rd century BC and expanded by his successor … 展开

    Sentences

    Propositional logic, as currently studied in universities, is a specification of a standard of logical consequence in which only the meanings of propositional connectives are considered in evaluating the conditions for the truth of a sen… 展开

    Arguments

    An argument is defined as a pair of things, namely a set of sentences, called the premises, and a sentence, called the conclusion. The conclusion is claimed to follow from the premises, and the premises are claimed to s… 展开

    Formalization

    Propositional logic is typically studied through a formal system in which formulas of a formal language are interpreted to represent propositions. This formal language is the basis for proof systems, which allow a conclusion to be … 展开

    Language

    The language (commonly called ) of a propositional calculus is defined in terms of:
    1. a set of primitive symbols, called atomic formulas, atomic sentences, atoms, placeholders, prime formulas, proposition letters, sentenc… 展开

    Semantics

    To serve as a model of the logic of a given natural language, a formal language must be semantically interpreted. In classical logic, all propositions evaluate to exactly one of two truth-values: True or False. For example, "… 展开

     
  1. Propositional Logic | Brilliant Math & Science Wiki

    As 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 via logical connectives. …

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  3. Reasoning and Fallacies - University of California, Berkeley

  4. Lesson Explainer: Mathematical Logic and Proof | Nagwa

    A mathematical proof is a logical and systematic argument that shows a statement to be true (or false). Proof by deduction (or deductive proof) starts from a known fact or definition and then proceeds in a series of logically justified …

  5. Elimination Grids | Brilliant Math & Science …

    3 天之前 · An elimination grid is a tool to solve complex logic problems. It is useful when there is lots of information and works by converting data into a visual grid. In basic logic puzzles, …

  6. My Logic Hub

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  8. Recursive Backtracking | Brilliant Math & Science Wiki

    5 天之前 · Backtracking can be thought of as a selective tree/graph traversal method. The tree is a way of representing some initial starting position (the parent node) and a final goal state (one of the leaves). Backtracking allows us to deal …

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