Propositional calculus | Logical consequence | Metalogic | Binary operations | Deductive reasoning
Logical consequence (also entailment) is a fundamental concept in logic, which describes the relationship between statements that hold true when one statement logically follows from one or more statements. A valid logical argument is one in which the conclusion is entailed by the premises, because the conclusion is the consequence of the premises. The philosophical analysis of logical consequence involves the questions: In what sense does a conclusion follow from its premises? and What does it mean for a conclusion to be a consequence of premises? All of philosophical logic is meant to provide accounts of the nature of logical consequence and the nature of logical truth. Logical consequence is necessary and formal, by way of examples that explain with formal proof and models of interpretation. A sentence is said to be a logical consequence of a set of sentences, for a given language, if and only if, using only logic (i.e., without regard to any personal interpretations of the sentences) the sentence must be true if every sentence in the set is true. Logicians make precise accounts of logical consequence regarding a given language , either by constructing a deductive system for or by formal intended semantics for language . The Polish logician Alfred Tarski identified three features of an adequate characterization of entailment: (1) The logical consequence relation relies on the logical form of the sentences: (2) The relation is a priori, i.e., it can be determined with or without regard to empirical evidence (sense experience); and (3) The logical consequence relation has a modal component. (Wikipedia).
Implications and Truth Conditions for Implications
This video defines an implication and when an implication is true or false.
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Understanding Logical Statements 1
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How to determine the inverse of a conditional statement
👉 Learn how to find the inverse of a statement. The inverse of a statement is the negation of the hypothesis and the conclusion of a conditional statement. If the hypothesis of a statement is represented by p and the conclusion is represented by q, then the conditional statement is represe
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How to determine the truth table from a statement and determine its validity
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CCSS What are truth tables and how can we create them for conditional statements
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2. Ch. 1 (Part 2/3). Introduction to Logic, Philosophy 10, UC San Diego - BSLIF
Video lecture corresponding to _Basic Sentential Logic and Informal Fallacies_, Chapter 1, Part 2 of 3. This is for the class Introduction to Logic, Philosophy 10, UC San Diego.
From playlist UC San Diego: PHIL 10 - Introduction to Logic | CosmoLearning.org Philosophy
How to determine the inverse from a conditional statement
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From playlist Inverse of a Statement
Recorded: Spring 2014 Lecturer: Dr. Erin M. Buchanan Materials: created for Memory and Cognition (PSY 422) using Smith and Kosslyn (2006) Lecture materials and assignments available at statisticsofdoom.com. https://statisticsofdoom.com/page/other-courses/
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Writing the inverse from a conditional statement
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From playlist Inverse of a Statement
3. Ch. 1 (Part 3/3). Introduction to Logic, Philosophy 10, UC San Diego - BSLIF
Video lecture corresponding to _Basic Sentential Logic and Informal Fallacies_, Chapter 1, Part 3 of 3. This is for the class Introduction to Logic, Philosophy 10, UC San Diego.
From playlist UC San Diego: PHIL 10 - Introduction to Logic | CosmoLearning.org Philosophy
SEM_013 - Linguistic Micro-Lectures: Implication (Logic)
What is impolication (in logic) and how can the truth-value of propositions connected by logical IF ... THEN be defined? Within just two minutes Prof. Handke discusses and exemplifies the truth-conditions associated with this logical connective.
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12. Ch. 4, Section 4.7. Introduction to Logic, Philosophy 10, UC San Diego - BSLIF
Video lecture corresponding to _Basic Sentential Logic and Informal Fallacies_, Chapter 4, Section 4.7. This is for the class Introduction to Logic, Philosophy 10, UC San Diego.
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