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Institution:
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Bard College
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Subject:
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Description:
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This course reviews several symbolic systems, some developed thousands of years apart, in order to formally test the validity of deductive arguments expressed in ordinary language of various levels of complexity. Beginning from the common notion of a valid argument, the course progresses through truth tables; a system of natural deduction for propositional logic, which is proven to be consistent and complete;Aristotelian logic (immediate inference, mediate inference, the square of opposition); Venn diagrams; monadic quantification theory; and general quantification theory, including identity. The course ends with a discussion of the extension of such work into higher orders of logic and the foundations of mathematics, and the initial surprise of G?del's incompleteness proof.
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Credits:
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4.00
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Credit Hours:
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Prerequisites:
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Corequisites:
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Exclusions:
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Level:
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Instructional Type:
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Lecture
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Notes:
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Additional Information:
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Historical Version(s):
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Institution Website:
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Phone Number:
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(845) 758-6822
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Regional Accreditation:
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Middle States Association of Colleges and Schools
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Calendar System:
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Semester
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