Chapter 4part2.pdf

Chapter 4part2.pdf - Aristotle vs Boole 3 Boolean...

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3/3/2018 1 3 Boolean interpretation All adlers are bobkins. Some adlers are bobkins? 所有男人都是負心漢。 有些男人是負心漢。 " All students who studied are persons who got good grades ." • “ Some students who studied are persons who got good grades. 2 Aristotle vs. Boole Aristotle All students who studied are persons who got good grades. implies Some students who studied are persons who got good grades. Boole All students who studied are persons who got good grades. doesn t imply Some students who studied are persons who got good grades. If there is such a thing as a student who studied, it is a person who got good grade. 3 All unicorns are one-horned animals. • “ Some unicorns are one-horned animals. Offenders will be prosecuted. • “ Some offenders are persons who will be prosecuted. 4 4 Venn diagrams 5 6 5 Representing the four kinds of categorical proposition
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