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Some plausible reasoning methods due to George Polya. George Polya in his two volume book titled Mathematics and Plausible Reasoning [3] [4] presents plausible reasoning as a way of generating new mathematical conjectures. To Polya, “a mathematical proof is demonstrative reasoning but the inductive evidence of the physicist, the ...
The Jane Schaffer method is a formula for essay writing that is taught in some U.S. middle schools and high schools.Developed by a San Diego teacher named Jane Schaffer, who started offering training and a 45-day curriculum in 1995, it is intended to help students who struggle with structuring essays by providing a framework.
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[1] [2] It contains the now-famous sentence "Colorless green ideas sleep furiously", [3] which Chomsky offered as an example of a grammatically correct sentence that has no discernible meaning, thus arguing for the independence of syntax (the study of sentence structures) from semantics (the study of meaning). [4] [note 1]
Use of the phrase "working hypothesis" goes back to at least the 1850s. [7]Charles Sanders Peirce came to hold that an explanatory hypothesis is not only justifiable as a tentative conclusion by its plausibility (by which he meant its naturalness and economy of explanation), [8] but also justifiable as a starting point by the broader promise that the hypothesis holds for research.
The structural version argues that children's “single word utterances are implicit expressions of syntactic and semantic structural relations.” There are three arguments used to account for the structural version of the holophrastic hypothesis: The comprehension argument, the temporal proximity argument, and the progressive acquisition argument.
There seems to be an infinite regress of sentences getting their meaning. Sentences in natural languages get their meaning from their users (speakers, writers). [6] Therefore, sentences in mentalese must get their meaning from the way in which they are used by thinkers and so on ad infinitum. This regress is often called the homunculus regress. [6]
A different meaning of the term hypothesis is used in formal logic, to denote the antecedent of a proposition; thus in the proposition "If P, then Q", P denotes the hypothesis (or antecedent); Q can be called a consequent. P is the assumption in a (possibly counterfactual) What If question.
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