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A set of sentences is called a theory; thus, individual sentences may be called theorems. To properly evaluate the truth (or falsehood) of a sentence, one must make reference to an interpretation of the theory. For first-order theories, interpretations are commonly called structures. Given a structure or interpretation, a sentence will have a ...
Logical consequence is necessary and formal, by way of examples that explain with formal proof and models of interpretation. [1] 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 ...
A variety of basic concepts is used in the study and analysis of logical reasoning. Logical reasoning happens by inferring a conclusion from a set of premises. [3] Premises and conclusions are normally seen as propositions. A proposition is a statement that makes a claim about what is the case.
Examples of this are site suitability and site sensitivity analysis. After going thoroughly through the process of defining the problem, exploring for all the possible alternatives for that problem and gathering information this step says evaluate the information and the possible options to anticipate the consequences of each and every possible ...
The use of such argument analysis for thinking through issues has been called "reflective argumentation". [ 15 ] An argument map, unlike a decision tree , does not tell how to make a decision, but the process of choosing a coherent position (or reflective equilibrium ) based on the structure of an argument map can be represented as a decision tree.
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 sentence, or whether a sentence logically follows from some other sentence or group of sentences.
The foundation of logical grammar was laid out by the Greek philosophers. According to Plato, the task of the sentence is to make a statement about the subject by means of predication. In the Sophist, he uses the example of "Theaetetus is sitting" to illustrate the idea of predication. This statement involves the subject "Theaetetus" and the ...
An economic model is a theoretical construct representing economic processes by a set of variables and a set of logical and/or quantitative relationships between them. The economic model is a simplified, often mathematical , framework designed to illustrate complex processes.